From b39aa97a6f4e6f784ebbde0d5f7dd73a3d70952c Mon Sep 17 00:00:00 2001
From: digitalis-p <157422123+digitalis-p@users.noreply.github.com>
Date: Thu, 15 Oct 2026 23:07:09 -0600
Subject: [PATCH 1/2] Add paired residue concentration on pinned PR2857

---
 .../.gitattributes                            |    1 +
 .../CLAIM.json                                |   23 +
 .../CONSTRUCTION.json                         |    1 +
 .../DEPENDENCIES.json                         |  287 +
 .../DISPATCH.json                             |    1 +
 .../EXACT-MOMENT.json                         |   28 +
 .../EXPERIMENTS.md                            |   37 +
 .../FILL.json.gz                              |  Bin 0 -> 1324829 bytes
 .../FRONTIER.json                             |   82 +
 .../HANDOFF.md                                |  108 +
 .../INDEPENDENT-OWNERS.json                   |   60 +
 .../shared-kernel-pair-concentration/LICENSE  |  201 +
 .../shared-kernel-pair-concentration/NOTICE   |   19 +
 .../ORDER.json                                |    1 +
 .../PACKAGE-MANIFEST.json                     |  400 +
 .../PROFILE.json                              |    1 +
 .../shared-kernel-pair-concentration/PROOF.md |  113 +
 .../PROVIDERS.json                            |    1 +
 .../README.md                                 |  114 +
 .../REPOSITORY-CHECKS.md                      |   26 +
 .../SOURCES.json                              |   18 +
 .../TASK.json                                 |   68 +
 .../VERIFY.json                               |   18 +
 .../evidence/ACTUAL-CONTROLS.json             |   11 +
 .../evidence/baseline-PR2853-release.json     |    7 +
 .../evidence/baseline-pinned/RESULT.json      |  129 +
 .../evidence/baseline-pinned/STAGES.json      |   83 +
 .../baseline-pinned/candidate/RESULT.json     |  383 +
 .../candidate/RUNTIME-PATCHES.json            |  225 +
 .../baseline-pinned/candidate/STAGES.json     |  113 +
 .../candidate/discovery/ASSEMBLY.json         |  516 ++
 .../candidate/discovery/INDEPENDENT.json      |  211 +
 .../candidate/discovery/RESULT.json           |  261 +
 .../candidate/discovery/STAGES.json           |   44 +
 .../base/split-centres/CLIFFORD-RECIPES.json  |    1 +
 .../base/split-centres/CLIFFORD-REVIEW.json   |   20 +
 .../INDEPENDENT-LOCAL-REPLAY.json             |   58 +
 .../split-centres/INDEPENDENT-REPLAY.json     |   58 +
 .../base/split-centres/INTEGRATION.json       |    1 +
 .../base/split-centres/LOCAL-CHECKS.json      |   38 +
 .../base/split-centres/RESIDUAL-ADAPTERS.json |    1 +
 .../split-centres/SCALAR-FRAME-AUDIT.json     |  533 ++
 .../base/split-centres/WRAPPER-CHECKS.json    |  289 +
 .../work/complex-nine-native/DATA-PHASES.json |    1 +
 .../construction/leaver/PIVOT-SWAP-k8.json    |    1 +
 .../discovery/runtime/data/SPEC.json          | 4186 ++++++++++
 .../candidate/release/RELEASE-RECEIPT.json    |    7 +
 .../candidate/release/outer-tmp/CLAIM.json    |   18 +
 .../release/outer-tmp/fine-padding.json       |  203 +
 .../candidate/release/outer-tmp/new/SPEC.json | 4186 ++++++++++
 .../candidate/release/outer-tmp/outer/B.json  |   15 +
 .../release/outer-tmp/outer/INDEPENDENT.json  |   43 +
 .../release/outer-tmp/outer/LEDGER.json       |  576 ++
 .../release/outer-tmp/outer/OUTER-CLAIM.json  |   13 +
 .../release/verify/AUDIT-LOCAL-566-base.json  |  137 +
 .../release/verify/AUDIT-LOCAL-566-extra.json |  137 +
 .../release/verify/GEOMETRY-CONTROLS.json     |   29 +
 .../release/verify/LEMMAG-LABELS.json         |  180 +
 .../candidate/release/verify/RESULT.json      |  104 +
 .../candidate/release/verify/STAGES.json      |   80 +
 .../ALIAS-ENUMERATION-43base.json             |   35 +
 .../ALIAS-ENUMERATION-43extra.json            |   35 +
 .../borrow-receipts/AUDIT-43base-pinned.json  |   43 +
 .../AUDIT-43base-prekernel.json               |   40 +
 .../verify/borrow-receipts/AUDIT-43base.json  |   40 +
 .../borrow-receipts/AUDIT-43extra-pinned.json |   43 +
 .../AUDIT-43extra-prekernel.json              |   40 +
 .../verify/borrow-receipts/AUDIT-43extra.json |   40 +
 .../borrow-receipts/CONTROLS-43base.json      |  124 +
 .../borrow-receipts/CONTROLS-43extra.json     |  124 +
 .../CONTROLS-ALIAS1-43base.json               |   40 +
 .../CONTROLS-ALIAS1-43extra.json              |   40 +
 .../CONTROLS-KERNEL-43base.json               |   13 +
 .../CONTROLS-KERNEL-43extra.json              |   13 +
 .../CONTROLS-LOWFOUR-43base.json              |  129 +
 .../CONTROLS-LOWFOUR-43extra.json             |  129 +
 .../CONTROLS-PRELIFE-43base.json              |  477 ++
 .../CONTROLS-PRELIFE-43extra.json             |  477 ++
 .../FOUR-GROUP-INDEPENDENT-REVIEW.json        |  543 ++
 .../POSITIVE-AUDIT-base.json                  |   40 +
 .../POSITIVE-AUDIT-extra.json                 |   40 +
 .../verify/strict/ADMISSION-CONTROLS.json     |  152 +
 .../release/verify/strict/ASSEMBLY.json       |  516 ++
 .../release/verify/strict/BIT-CONTROLS.json   |   49 +
 .../release/verify/strict/INDEPENDENT.json    |  211 +
 .../release/verify/strict/RESULT.json         |  267 +
 .../release/verify/strict/STAGES.json         |   50 +
 .../base/split-centres/CLIFFORD-RECIPES.json  |    1 +
 .../base/split-centres/CLIFFORD-REVIEW.json   |   20 +
 .../INDEPENDENT-LOCAL-REPLAY.json             |   58 +
 .../split-centres/INDEPENDENT-REPLAY.json     |   58 +
 .../base/split-centres/INTEGRATION.json       |    1 +
 .../base/split-centres/LOCAL-CHECKS.json      |   38 +
 .../base/split-centres/RESIDUAL-ADAPTERS.json |    1 +
 .../split-centres/SCALAR-FRAME-AUDIT.json     |  533 ++
 .../base/split-centres/WRAPPER-CHECKS.json    |  289 +
 .../work/complex-nine-native/DATA-PHASES.json |    1 +
 .../construction/leaver/PIVOT-SWAP-k8.json    |    1 +
 .../verify/strict/runtime/data/SPEC.json      | 4186 ++++++++++
 .../baseline-pinned/native/ENVIRONMENT.json   |   13 +
 .../native/NATIVE-RECEIPT.json                |  113 +
 .../baseline-pinned/native/RESULT.json        |   41 +
 .../baseline-pinned/native/STAGES.json        |   32 +
 .../baseline-pinned/source-DERIVATION.json    |  764 ++
 .../evidence/candidate-admission/RESULT.json  |  383 +
 .../candidate-admission/RUNTIME-PATCHES.json  |  225 +
 .../evidence/candidate-admission/STAGES.json  |  113 +
 .../discovery/ASSEMBLY.json                   |  516 ++
 .../discovery/INDEPENDENT.json                |  212 +
 .../candidate-admission/discovery/RESULT.json |  262 +
 .../candidate-admission/discovery/STAGES.json |   44 +
 .../base/split-centres/CLIFFORD-RECIPES.json  |    1 +
 .../base/split-centres/CLIFFORD-REVIEW.json   |   20 +
 .../INDEPENDENT-LOCAL-REPLAY.json             |   58 +
 .../split-centres/INDEPENDENT-REPLAY.json     |   58 +
 .../base/split-centres/INTEGRATION.json       |    1 +
 .../base/split-centres/LOCAL-CHECKS.json      |   38 +
 .../base/split-centres/RESIDUAL-ADAPTERS.json |    1 +
 .../split-centres/SCALAR-FRAME-AUDIT.json     |  533 ++
 .../base/split-centres/WRAPPER-CHECKS.json    |  289 +
 .../work/complex-nine-native/DATA-PHASES.json |    1 +
 .../construction/leaver/PIVOT-SWAP-k8.json    |    1 +
 .../discovery/runtime/data/SPEC.json          | 7184 +++++++++++++++++
 .../release/RELEASE-RECEIPT.json              |    7 +
 .../release/outer-tmp/CLAIM.json              |   18 +
 .../release/outer-tmp/fine-padding.json       |  203 +
 .../release/outer-tmp/new/SPEC.json           | 7184 +++++++++++++++++
 .../release/outer-tmp/outer/B.json            |   15 +
 .../release/outer-tmp/outer/INDEPENDENT.json  |   43 +
 .../release/outer-tmp/outer/LEDGER.json       |  576 ++
 .../release/outer-tmp/outer/OUTER-CLAIM.json  |   13 +
 .../release/verify/AUDIT-LOCAL-566-base.json  |  137 +
 .../release/verify/AUDIT-LOCAL-566-extra.json |  137 +
 .../release/verify/GEOMETRY-CONTROLS.json     |   29 +
 .../release/verify/LEMMAG-LABELS.json         |  180 +
 .../release/verify/RESULT.json                |  104 +
 .../release/verify/STAGES.json                |   80 +
 .../ALIAS-ENUMERATION-43base.json             |   35 +
 .../ALIAS-ENUMERATION-43extra.json            |   35 +
 .../borrow-receipts/AUDIT-43base-pinned.json  |   43 +
 .../AUDIT-43base-prekernel.json               |   40 +
 .../verify/borrow-receipts/AUDIT-43base.json  |   40 +
 .../borrow-receipts/AUDIT-43extra-pinned.json |   43 +
 .../AUDIT-43extra-prekernel.json              |   40 +
 .../verify/borrow-receipts/AUDIT-43extra.json |   40 +
 .../borrow-receipts/CONTROLS-43base.json      |  124 +
 .../borrow-receipts/CONTROLS-43extra.json     |  124 +
 .../CONTROLS-ALIAS1-43base.json               |   40 +
 .../CONTROLS-ALIAS1-43extra.json              |   40 +
 .../CONTROLS-KERNEL-43base.json               |   13 +
 .../CONTROLS-KERNEL-43extra.json              |   13 +
 .../CONTROLS-LOWFOUR-43base.json              |  129 +
 .../CONTROLS-LOWFOUR-43extra.json             |  129 +
 .../CONTROLS-PRELIFE-43base.json              |  477 ++
 .../CONTROLS-PRELIFE-43extra.json             |  477 ++
 .../FOUR-GROUP-INDEPENDENT-REVIEW.json        |  543 ++
 .../POSITIVE-AUDIT-base.json                  |   40 +
 .../POSITIVE-AUDIT-extra.json                 |   40 +
 .../verify/strict/ADMISSION-CONTROLS.json     |  152 +
 .../release/verify/strict/ASSEMBLY.json       |  516 ++
 .../release/verify/strict/BIT-CONTROLS.json   |   49 +
 .../release/verify/strict/INDEPENDENT.json    |  212 +
 .../release/verify/strict/RESULT.json         |  268 +
 .../release/verify/strict/STAGES.json         |   50 +
 .../base/split-centres/CLIFFORD-RECIPES.json  |    1 +
 .../base/split-centres/CLIFFORD-REVIEW.json   |   20 +
 .../INDEPENDENT-LOCAL-REPLAY.json             |   58 +
 .../split-centres/INDEPENDENT-REPLAY.json     |   58 +
 .../base/split-centres/INTEGRATION.json       |    1 +
 .../base/split-centres/LOCAL-CHECKS.json      |   38 +
 .../base/split-centres/RESIDUAL-ADAPTERS.json |    1 +
 .../split-centres/SCALAR-FRAME-AUDIT.json     |  533 ++
 .../base/split-centres/WRAPPER-CHECKS.json    |  289 +
 .../work/complex-nine-native/DATA-PHASES.json |    1 +
 .../construction/leaver/PIVOT-SWAP-k8.json    |    1 +
 .../verify/strict/runtime/data/SPEC.json      | 7184 +++++++++++++++++
 .../evidence/candidate-controller-audit.json  |  103 +
 .../evidence/candidate-final-manifest.json    |  553 ++
 .../evidence/candidate-frozen-spec.json       | 7184 +++++++++++++++++
 .../evidence/candidate-outer-claim.json       |   13 +
 .../evidence/candidate-outer-independent.json |   43 +
 .../evidence/candidate-outer-ledger.json      |  576 ++
 .../evidence/leading-review-checks.json       | 1909 +++++
 .../evidence/recent-checks.json               | 1762 ++++
 .../evidence/recent-reviews.json              |   81 +
 .../evidence/run-logs/H1-boundary.json        |   23 +
 .../evidence/run-logs/H1-census-base.json     |   30 +
 .../evidence/run-logs/H2-exact-swaps.json     |   29 +
 .../evidence/run-logs/baseline-release.json   |   28 +
 .../run-logs/candidate-complete-release.json  |   30 +
 .../run-logs/candidate-discovery.json         |   32 +
 .../run-logs/candidate-endpoints-retry.json   |   26 +
 .../run-logs/candidate-endpoints.json         |   24 +
 .../evidence/run-logs/candidate-lift.json     |   24 +
 .../run-logs/candidate-outer-generate.json    |   20 +
 .../evidence/run-logs/candidate-owners.json   |   22 +
 .../evidence/run-logs/candidate-rebind.json   |   24 +
 .../evidence/run-logs/final-main-make.json    |   21 +
 .../run-logs/final-main-selected.json         |   21 +
 .../run-logs/final-registered-check.json      |   24 +
 .../run-logs/final-release-binding.json       |   28 +
 .../independent-candidate-moment.json         |   27 +
 .../evidence/run-logs/independent-owners.json |   27 +
 .../evidence/run-logs/main-required.json      |   22 +
 .../run-logs/newest-baseline-release.json     |   44 +
 .../run-logs/newest-pinned-release.json       |   44 +
 .../evidence/run-logs/newest-swap-census.json |   25 +
 .../run-logs/packaged-independent.json        |   24 +
 .../run-logs/pair-complete-admission.json     |   50 +
 .../evidence/run-logs/pair-generate.json      |   24 +
 .../pair-independent-moment-retry.json        |   26 +
 .../run-logs/pair-independent-moment.json     |   26 +
 .../pair-independent-owners-retry.json        |   26 +
 .../run-logs/pair-independent-owners.json     |   26 +
 .../run-logs/pair-portable-bounded.json       |   22 +
 .../run-logs/refreshed-make-verify.json       |   21 +
 .../evidence/run-logs/refreshed-selected.json |   21 +
 .../run-logs/registered-pair-check.json       |   24 +
 .../evidence/run-logs/requirements-lock.txt   |    6 +
 .../evidence/run-logs/selected-cold.json      |   21 +
 .../evidence/superseded-two-swap-release.json |    7 +
 .../exact_moment.py                           |   86 +
 .../experiments/EXACT-MOMENT.json             |   27 +
 .../experiments/INDEPENDENT-OWNERS.json       |   68 +
 .../experiments/NEWEST-SAME-CALL-CENSUS.json  |    8 +
 .../experiments/QUARTET-BOUNDARY.json         |  865 ++
 .../experiments/SWAP-SEARCH.json              |   89 +
 .../experiments/TASK-local.json               |   31 +
 .../experiments/exact_swaps.py                |   57 +
 .../experiments/newest_swaps.py               |   55 +
 .../experiments/quartet_boundary.py           |  115 +
 .../generate.py                               |   32 +
 .../independent.py                            |   75 +
 .../reproduce.py                              |   40 +
 .../requirements-reproduction.txt             |    6 +
 .../source-inputs/CLAIM.json                  |   50 +
 .../source-inputs/DISPATCH.json               |    1 +
 .../source-inputs/FILL.json.gz                |  Bin 0 -> 650204 bytes
 .../source-inputs/ORDER.json                  |    1 +
 .../source-inputs/PROFILE.json                |    1 +
 .../source-inputs/PROVIDERS.json              |    1 +
 .../source-inputs/sources/PR2833-NOTICE       |   10 +
 .../source-inputs/sources/PR2833-PLAN.json.gz |  Bin 0 -> 29933 bytes
 .../sources/PR2833-T37-TEMPLATE.json.gz       |  Bin 0 -> 1124331 bytes
 .../source-inputs/sources/PR2839-CREDITS.md   |   67 +
 .../source-inputs/sources/PR2839-LICENSE      |  201 +
 .../source-inputs/sources/PR2843-LICENSE      |  201 +
 .../source-inputs/sources/PR2843-NOTICE       |    1 +
 .../verify.py                                 |   36 +
 .../verify_release_binding.py                 |   20 +
 250 files changed, 70296 insertions(+)
 create mode 100644 research/shared-kernel-pair-concentration/.gitattributes
 create mode 100644 research/shared-kernel-pair-concentration/CLAIM.json
 create mode 100644 research/shared-kernel-pair-concentration/CONSTRUCTION.json
 create mode 100644 research/shared-kernel-pair-concentration/DEPENDENCIES.json
 create mode 100644 research/shared-kernel-pair-concentration/DISPATCH.json
 create mode 100644 research/shared-kernel-pair-concentration/EXACT-MOMENT.json
 create mode 100644 research/shared-kernel-pair-concentration/EXPERIMENTS.md
 create mode 100644 research/shared-kernel-pair-concentration/FILL.json.gz
 create mode 100644 research/shared-kernel-pair-concentration/FRONTIER.json
 create mode 100644 research/shared-kernel-pair-concentration/HANDOFF.md
 create mode 100644 research/shared-kernel-pair-concentration/INDEPENDENT-OWNERS.json
 create mode 100644 research/shared-kernel-pair-concentration/LICENSE
 create mode 100644 research/shared-kernel-pair-concentration/NOTICE
 create mode 100644 research/shared-kernel-pair-concentration/ORDER.json
 create mode 100644 research/shared-kernel-pair-concentration/PACKAGE-MANIFEST.json
 create mode 100644 research/shared-kernel-pair-concentration/PROFILE.json
 create mode 100644 research/shared-kernel-pair-concentration/PROOF.md
 create mode 100644 research/shared-kernel-pair-concentration/PROVIDERS.json
 create mode 100644 research/shared-kernel-pair-concentration/README.md
 create mode 100644 research/shared-kernel-pair-concentration/REPOSITORY-CHECKS.md
 create mode 100644 research/shared-kernel-pair-concentration/SOURCES.json
 create mode 100644 research/shared-kernel-pair-concentration/TASK.json
 create mode 100644 research/shared-kernel-pair-concentration/VERIFY.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/ACTUAL-CONTROLS.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-PR2853-release.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/RESULT.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/STAGES.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/RESULT.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/RUNTIME-PATCHES.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/STAGES.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/ASSEMBLY.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/INDEPENDENT.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/RESULT.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/STAGES.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/split-centres/CLIFFORD-RECIPES.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/split-centres/CLIFFORD-REVIEW.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/split-centres/INDEPENDENT-LOCAL-REPLAY.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/split-centres/INDEPENDENT-REPLAY.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/split-centres/INTEGRATION.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/split-centres/LOCAL-CHECKS.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/split-centres/RESIDUAL-ADAPTERS.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/split-centres/SCALAR-FRAME-AUDIT.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/split-centres/WRAPPER-CHECKS.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/runtime/construction/leaver/PIVOT-SWAP-k8.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/runtime/data/SPEC.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/RELEASE-RECEIPT.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/CLAIM.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/fine-padding.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/new/SPEC.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/B.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/INDEPENDENT.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/LEDGER.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/OUTER-CLAIM.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/AUDIT-LOCAL-566-base.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/AUDIT-LOCAL-566-extra.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/GEOMETRY-CONTROLS.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/LEMMAG-LABELS.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/RESULT.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/STAGES.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/ALIAS-ENUMERATION-43base.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/ALIAS-ENUMERATION-43extra.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43base-pinned.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43base-prekernel.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43base.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43extra-pinned.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43extra-prekernel.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43extra.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-43base.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-43extra.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-ALIAS1-43base.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-ALIAS1-43extra.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-KERNEL-43base.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-KERNEL-43extra.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43base.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43extra.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-PRELIFE-43base.json
 create mode 100644 research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-PRELIFE-43extra.json
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new file mode 100644
index 0000000000..239c678857
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diff --git a/research/shared-kernel-pair-concentration/EXACT-MOMENT.json b/research/shared-kernel-pair-concentration/EXACT-MOMENT.json
new file mode 100644
index 0000000000..af70dc7a53
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/EXACT-MOMENT.json
@@ -0,0 +1,28 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_PAIR_MOMENT",
+  "complex_lower": "86004870116989085803/50000000000000000000000",
+  "root_bracket_30": [
+    "1720097402339781716060441963/1000000000000000000000000000000",
+    "430024350584945429015110491/250000000000000000000000000000"
+  ],
+  "kappa_rational": "17200974023397817160599999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "kappa_decimal_90": "0.0017200974023397817160599999999999999999999998999999999999999999999999",
+  "baseline_rational": "17200966286848326009719999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "gain_rational": "48353434319693/62500000000000000000000",
+  "gain_decimal_90": "7.73654949115088E-10",
+  "controls": {
+    "old_doubled_profile_rejected_at_candidate_endpoint": true,
+    "next_endpoint_grid_point_rejected": true
+  },
+  "profile": {
+    "1": 1611720,
+    "2": 427573,
+    "3": 183550,
+    "4": 85248,
+    "5": 26196,
+    "8": 5328,
+    "16": 1,
+    "48": 26758
+  },
+  "scope": "Directed integer atanh and exp enclosures; no floating point. Complete hosting and outer release required separately."
+}
diff --git a/research/shared-kernel-pair-concentration/EXPERIMENTS.md b/research/shared-kernel-pair-concentration/EXPERIMENTS.md
new file mode 100644
index 0000000000..253a5242bb
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/EXPERIMENTS.md
@@ -0,0 +1,37 @@
+# Experiment log
+
+Session: 2026-10-16, approximately 03:37–04:30 UTC. Default repository budget:
+about 60 minutes, no paid external compute, at most two native audit shards per
+replay. Source snapshots and command records include exact argv, exit codes,
+environment, elapsed time and log SHA256. Search seed: 20261016.
+
+| Step | Hypothesis / action | Result and decision |
+| --- | --- | --- |
+| Baseline | Paginated live PR census; reproduce PR2853 d01045df after distinguishing multiplication kappa from local/Fourier caps | Complete release passed in 838.88 s with four fresh native chains. |
+| H1a | Remaining 12 helpers in the four dirty-A quartets might admit extra dirty entrance lines | All 12 failed the inherited exact D-in-span census with climb and raise enabled. |
+| H1b | A coupled invertible raw-dirt transform within each fixed quartet could make two compensation columns vanish | Independent exact rational propagation: rank 3 and nullity 1 in every quartet, both providers. At most one zero column under an invertible 4x4 change at the fixed boundary. This does not exclude interleaved gates, changed receiving helpers or new frames. Controls raise rank to four / erase it to zero. |
+| H2 | Same-call distinct-width exchanges in PR2853's changed inventory may lower the idle bill | 66,685,248 pairs across two passes; two legal swaps, exact delta H3-H4-H6+H7. Independent full owner and 3000-digit moment checks passed. Complete release passed in 520.38 s. Kappa 0.00171937773626898616…; gain 7.75713995049e-11 over PR2853. Superseded by new PR2856/2857. |
+| H3 | Re-derive T248 composition for PR2853 | Not pursued after the new frontier appeared. No compatibility or summed-gain claim. |
+| Refresh | PR2857 0b2e2537 appears with cheaper staged kernels and a T37 fill | Its full documented reproduction passed twice. The second used its exact pinned dependencies; 499.15 s. Two current native chains fresh, older parent/native evidence explicitly authenticated and reused. |
+| H4 | The same exact pair-exchange method might improve PR2857 | 16,671,312 distinct-width same-call pairs; zero improving moves. This does not prove global allocation optimality. |
+| H5 | Two interleaved T37 copies permit a cross-copy transfer unavailable to a same-call swap | One width-7 transfer replaces 2H9 by H2+H16. Independent event/owner checks, exact moments and complete strict release pass. Final gain 7.73654949115088e-10 over exact PR2857. |
+
+The complete command stream is in `evidence/run-logs/`. `generate.py` reproduces
+H5 without a solver. The previous search/checker programs and receipts are in
+the saved session handoff bundle; relevant negative scripts are in `experiments/`.
+
+Development failures are retained: the first high-precision endpoint command
+used a nonexistent profile filename; the first paired-owner checker used the
+uncompressed name of a compressed pinned plan; the first paired-moment binary
+search began outside its deliberately narrow exponential-domain guard. These
+were corrected by supplying the actual filename and a certified initial root
+bracket. No mathematical predicate, guard or expected result was weakened.
+The complete inherited candidate verifier passed on its first run.
+
+The earlier PR2853 candidate's frozen CLAIM metadata says admission was pending
+when frozen. Its later PASS_RELEASE receipt is the authority for the completed
+run; frozen source was not edited after verification. It remains superseded.
+
+No further large fixed-inventory search was started. PR2857's reported tight
+fractional cap leaves only about 4.18e-9 above its original witness; this result
+uses about 0.774e-9 of that. A remaining relaxation gap is not a feasible witness.
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diff --git a/research/shared-kernel-pair-concentration/FRONTIER.json b/research/shared-kernel-pair-concentration/FRONTIER.json
new file mode 100644
index 0000000000..f3e3af5577
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/FRONTIER.json
@@ -0,0 +1,82 @@
+{
+  "retrieved_at": "2026-10-16T04:19:17.014807+00:00",
+  "open_count": 541,
+  "page_counts": {
+    "open-1.json": 100,
+    "open-2.json": 100,
+    "open-3.json": 100,
+    "open-4.json": 100,
+    "open-5.json": 100,
+    "open-6.json": 41,
+    "open-7.json": 0
+  },
+  "initial_open_count": 551,
+  "initial_closed_pages": 21,
+  "initial_closed_records": 2003,
+  "initial_merged_records": 1553,
+  "final_closed_pages": 2,
+  "api": "Direct GitHub REST, per_page=100, explicit page iteration through empty open page; not an atomic snapshot",
+  "reviewed_main": {
+    "commit": "d311a18c6061af67d0aa35cbeced605b8b7472ed",
+    "selected_pr": 1094,
+    "kappa": "836330098538459/500000000000000000",
+    "decimal": "0.001672660197076918",
+    "review": "docs/research/community-batch1099-review.md",
+    "target": "make frontier1094-verify"
+  },
+  "strongest_comparable_identified": {
+    "pr": 2857,
+    "head": "0b2e2537b368a0cade07ce3f71452ea018ebe394",
+    "status": "open; no mathematical maintainer review; exact-head API returned zero check runs",
+    "kappa": "17200966286848326009719999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+    "reproduction": "PASS_SHARED_KERNEL_PORTABLE_COMPLETE_REPLAY with pinned requirements; receipt under evidence/baseline-pinned"
+  },
+  "other_leads": [
+    {
+      "pr": 2856,
+      "head": "7a43b24c4b6729d171f3a2a11ef3b7dc77aabaa4",
+      "status": "weaker than PR2857; vacancy relay; method overlap credited"
+    },
+    {
+      "pr": 2853,
+      "head": "d01045dfb67428679618027dff552f1d032fa999",
+      "status": "initial strongest identified, four-chain fresh release reproduced; superseded"
+    },
+    {
+      "pr": 2848,
+      "head": "c50d12e4720cd1fef2b5a65e337e37de9731879a",
+      "status": "T248 construction weaker than PR2853; not added to another gain"
+    },
+    {
+      "pr": 2855,
+      "head": "90c52db35dd2f8cdf0dd81976e698a6192a09126",
+      "status": "T372 construction weaker than PR2857"
+    },
+    {
+      "pr": 2858,
+      "head": "8bd3d2985cfaef59d800409a283b2fbca15a4b73",
+      "status": "new obstruction, explicitly no kappa"
+    }
+  ],
+  "detailed_review_and_check_coverage": [
+    2857,
+    2856,
+    2853,
+    2833,
+    2852,
+    2848,
+    2843,
+    2802,
+    2687,
+    2593,
+    2666,
+    2636,
+    2635,
+    2681,
+    2707,
+    2709
+  ],
+  "coverage_limit": "All listed open PR bodies/titles/exact heads fetched and screened, but reviews/checks were examined for leading candidates and recent merged work, not exhaustively for every open PR. This is the strongest comparable construction identified in a bounded live census, not a certified global priority claim.",
+  "targets_excluded": "Local word coverage caps, fractional fixed-inventory relaxations, bit-supplier savings, Fourier exponents, runtime timings, and constructions with unpriced interfaces were not treated as multiplication kappa records.",
+  "guidance_refresh": "Initial 130a7ce63, intermediate a5b3fc6d9, final d311a18c6; selected record and applicable scientific guidance unchanged. Final required suites were rerun."
+}
diff --git a/research/shared-kernel-pair-concentration/HANDOFF.md b/research/shared-kernel-pair-concentration/HANDOFF.md
new file mode 100644
index 0000000000..090bd290cc
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/HANDOFF.md
@@ -0,0 +1,108 @@
+# Research handoff — 2026-10-16
+
+## Best verified result
+
+Conditional multiplication exponent saving:
+`kappa = 0.001720097402339781716060 - 10^-46 - 10^-70`.
+Exact rational and 70-place terminating decimal: `CLAIM.json`.
+Exact improvement over the reproduced PR2857 headline:
+`48353434319693/62500000000000000000000 = 7.73654949115088e-10`.
+Complete strict release, independent source-event/owner audit and independent
+directed-integer moment checks pass. The construction is two interleaved T37
+copies plus one width-seven transfer; complete delta `H2+H16-2H9`.
+
+The last paginated census at 2026-10-16 04:19:17 UTC found 541 open PRs, with
+PR2857 still the strongest comparable construction identified. PR2858 has no
+kappa claim. Exact source: PR2857
+`0b2e2537b368a0cade07ce3f71452ea018ebe394`. Final main:
+`d311a18c6061af67d0aa35cbeced605b8b7472ed`. Reviewed main still selects PR1094,
+`836330098538459/500000000000000000`; do not replace that reviewed record.
+Detailed PR review/check coverage is bounded and disclosed in FRONTIER.json.
+
+## Executed validation
+
+The initial PR2853 baseline (`d01045dfb67428679618027dff552f1d032fa999`)
+passed its complete release with four fresh native chains (838.88 seconds).
+Its manifest SHA256 is
+`44ed6a457e1d1ba24726f35db86dc9e551072dd9331a8fed3ad3f0efa33ff0be`.
+The first improved candidate also passed but was superseded during the run.
+
+The PR2857 baseline passed its documented portable full replay twice. The second
+run used its exact pinned numpy/scipy/sympy/mpmath/gmpy2/psutil requirements
+in a separate Python 3.12 environment and took 499.15 seconds. It freshly
+ran two current native chains and authenticated two older chains and the
+retained parent proof by complete source hashes. The final candidate reuses
+those unchanged current chains and passes its complete admission/release in
+493.89 seconds. Its complete tree and final rational are checked by
+`verify_release_binding.py` against the reproduced baseline.
+
+Actual inherited rejecting controls: 119 admission, 12 bit, 25 controller,
+8 owner and 6 geometry; the outer has 63 strict rows and 17 rejecting controls.
+Independent new owner checker rejects four role corruptions; exact moment
+checker rejects the old doubled profile at the candidate endpoint and the next
+endpoint grid point. The portable package additionally rejects changed source
+bytes. Full original local/kernel/native checks remain required.
+
+Exact commands, exit codes, environment variables, elapsed times and log hashes
+are in `evidence/run-logs/`. Receipt/source hashes are in CLAIM and evidence.
+`README.md` supplies bounded and full reproduction commands. The top-level
+`reproduce.py` orchestrator was assembled from those successfully executed
+constituent commands; it was not rerun end-to-end a third time. Its constituent
+full baseline, full candidate and final binding were executed separately.
+
+Required `make verify` and `make frontier1094-verify` failed on unchanged main,
+including final d311a18c6. See REPOSITORY-CHECKS.md. The new registered package
+passes. No expected hash was changed to bypass the historical-source failure,
+and no verifier predicate was weakened. No fresh Lean build or hosted CI pass
+is claimed.
+
+## Workspace and artifacts
+
+Run root: `/workspace/scratch/bc9e58970b2a`.
+Focused branch: `research/two-swap-exponent-20261016` in `integer-mult-bounds/`.
+Only `research/shared-kernel-pair-concentration/` is committed as the new result.
+The review patch records its exact commit and parent.
+
+Important retained paths:
+
+- `newer-frontier/replay-pinned/`: pinned PR2857 full replay and fresh natives.
+- `pair-candidate/`: generated literal input and independent receipts.
+- `pair-admission/`: complete derived package, discovery, frozen strict release.
+- `replay-pr2853/`: initial complete cold baseline.
+- `candidate-complete-release/`: superseded two-swap strict release.
+- `superseded-two-swap-package/`: source-bound reproduction of that earlier result.
+- `frontier-snapshot/`, `frontier-final/`: direct paginated API responses.
+- `run-logs/`: all successes and failures, including development mistakes.
+- `.venv/`, `.venv2857/`: isolated environments; dependency pins are saved.
+
+The saved archive contains the focused patch, PR description, full derived
+supplier, pinned dependency packages, command records, frontier snapshots and
+superseded research. It excludes reconstructible large native intermediates.
+No pre-existing work or upstream sources were removed or edited.
+
+## Failed and bounded searches
+
+See EXPERIMENTS.md and experiments/. Fixed-boundary quartet maps have rank
+three/nullity one, so invertible raw-dirt mixing alone cannot supply a second
+zero compensation column there. This is not a global circuit obstruction.
+The PR2853 pair census found two improving swaps; that result was superseded.
+The PR2857 same-call census screened 16,671,312 pairs with zero moves. Multi-role
+paths, different orders, families and local words are outside that negative result.
+
+## Next work and publication
+
+No additional large packing search is justified by this session. A bounded
+follow-up can inspect the remaining tight relaxation patterns and prove one
+specific chronological transfer, or address a named all-size obligation in
+PROOF.md. Refresh GitHub first; new proposals can supersede small gains quickly.
+
+Publishing through the user's own fork was unavailable: the connected GitHub
+account is `digitalis-p`, its `integer-mult-bounds` fork lookup returned 404,
+no CLI credential helper/gh publishing route was configured, and the connector
+exposed no fork-creation operation. The patch and PR description are ready for
+submission; SUBMIT.md gives exact commands. Nothing was merged or posted.
+
+All inherited all-size compiler, common-label/mutable-source, hosting,
+precision/tape, exact-recovery, analytic-transfer, corrected recurrence and
+bit H1–H5 assumptions remain. Finite success is not the complete asymptotic
+multiplication theorem. This result is not a measured runtime speedup.
diff --git a/research/shared-kernel-pair-concentration/INDEPENDENT-OWNERS.json b/research/shared-kernel-pair-concentration/INDEPENDENT-OWNERS.json
new file mode 100644
index 0000000000..376c3924ba
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/INDEPENDENT-OWNERS.json
@@ -0,0 +1,60 @@
+{
+  "status": "PASS_INDEPENDENT_INTERLEAVED_TRANSFER",
+  "calls": 666,
+  "roles": 271728,
+  "replicas": 74,
+  "live": 66304,
+  "physical": 66794,
+  "profile": {
+    "1": 1611720,
+    "2": 427573,
+    "3": 183550,
+    "4": 85248,
+    "5": 26196,
+    "8": 5328,
+    "16": 1,
+    "48": 26758
+  },
+  "idle": {
+    "1": 17316,
+    "2": 1,
+    "3": 6394,
+    "5": 8880,
+    "16": 1,
+    "48": 26758
+  },
+  "profile_delta_from_double": {
+    "2": 1,
+    "9": -2,
+    "16": 1
+  },
+  "controls": [
+    {
+      "name": "overlap",
+      "rejection": "overlap or gap"
+    },
+    {
+      "name": "capacity",
+      "rejection": "capacity"
+    },
+    {
+      "name": "port",
+      "rejection": "role ranges"
+    },
+    {
+      "name": "time",
+      "rejection": "role ranges"
+    }
+  ],
+  "input_sha256": {
+    "newer-frontier/research/shared-kernel-repacking/FILL.json.gz": "82218aaaf08825bd4a3cca676815c7e9c00d06d0da123b1c5ad234c8c91cb501",
+    "newer-frontier/research/shared-kernel-repacking/ORDER.json": "84f030a59dde4fa4635988ef0931ebae66964b3a202df79d38247fbe8a5592dc",
+    "newer-frontier/research/shared-kernel-repacking/DISPATCH.json": "5513481a70c83767b5836b15fb7ff204d2a8f8fca83c6bcaee90a20b3d1ec6c4",
+    "newer-frontier/research/shared-kernel-repacking/PROVIDERS.json": "b1e31d1b3af2c8db9b8dd8f1337fee7fc2570ee58c1d541c43963c640efa1aa2",
+    "pair-candidate/FILL.json.gz": "1c79800e68c35c35aade277f54da8dda54c843e40376171c597e1ee675925840",
+    "pair-candidate/ORDER.json": "1dcbeb826512d864ba5b4bc740d6125980d4b2edec834206c07348485d159e96",
+    "pair-candidate/DISPATCH.json": "a2ade66687d1ad6b788a79dd8bb31a128bda9d02b4583e82d347e8892e9a148d",
+    "pair-candidate/PROVIDERS.json": "aebb3d2bb894161fd5f2bff11425326a9e27e4a4c43ab02eeee4d0e0745cceaf"
+  },
+  "scope": "Literal complete roles, source event chronology, windows, disjoint families, no-gap capacities, complete profile. Native operations, interfaces and analytic transfer are retained dependencies, not established here."
+}
diff --git a/research/shared-kernel-pair-concentration/LICENSE b/research/shared-kernel-pair-concentration/LICENSE
new file mode 100644
index 0000000000..261eeb9e9f
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/LICENSE
@@ -0,0 +1,201 @@
+                                 Apache License
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+      (a) You must give any other recipients of the Work or
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+          of the NOTICE file are for informational purposes only and
+          do not modify the License. You may add Your own attribution
+          notices within Derivative Works that You distribute, alongside
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+      You may add Your own copyright statement to Your modifications and
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+      the conditions stated in this License.
+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
+      with Licensor regarding such Contributions.
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+   6. Trademarks. This License does not grant permission to use the trade
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+      whether in tort (including negligence), contract, or otherwise,
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diff --git a/research/shared-kernel-pair-concentration/NOTICE b/research/shared-kernel-pair-concentration/NOTICE
new file mode 100644
index 0000000000..b1a6935191
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/NOTICE
@@ -0,0 +1,19 @@
+Four staged compensation kernels and chronological owner repacking
+Prepared for Yiyang (@Lyy-iiis), with substantial OpenAI Codex assistance.
+New contributions are licensed under Apache-2.0.
+
+Jeremy Kothe (@jeremykothe2), PR2833: pinned source words, dirt-entry mechanism,
+local audit, cleanup and native reconstruction lineage.
+@philippeVV, concurrent PR2853: the same four A-phase helper quartets
+and entrance mechanism, with a different early-read schedule and paid profile.
+Marius-Paul Dumitrean (@mdumitrean), PR2843 and predecessors: integer owner-flow
+construction and edge-coloring realization, retained in allocation/construction.
+Dugongue, PR2839: tensor-block norm and replica/owner interfaces.
+Tekalign (@tekuuu), native and source-bound admission lineage.
+David Arias C and the other contributors credited in the retained sources.
+
+Original source-specific licenses and notices are retained in sources/, vendor/
+and allocation/. This notice supplements, and does not replace, their attribution.
+Independent checks here are separate AI-assisted implementations; no independent
+human or maintainer review, new selected frontier, or full theorem formalization
+is claimed.
diff --git a/research/shared-kernel-pair-concentration/ORDER.json b/research/shared-kernel-pair-concentration/ORDER.json
new file mode 100644
index 0000000000..83fe657280
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/ORDER.json
@@ -0,0 +1 @@
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diff --git a/research/shared-kernel-pair-concentration/PACKAGE-MANIFEST.json b/research/shared-kernel-pair-concentration/PACKAGE-MANIFEST.json
new file mode 100644
index 0000000000..3d038bbfe6
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/PACKAGE-MANIFEST.json
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diff --git a/research/shared-kernel-pair-concentration/PROFILE.json b/research/shared-kernel-pair-concentration/PROFILE.json
new file mode 100644
index 0000000000..543fd23786
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/PROFILE.json
@@ -0,0 +1 @@
+{"1":1611720,"2":427573,"3":183550,"4":85248,"5":26196,"8":5328,"16":1,"48":26758}
diff --git a/research/shared-kernel-pair-concentration/PROOF.md b/research/shared-kernel-pair-concentration/PROOF.md
new file mode 100644
index 0000000000..1eaf592048
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/PROOF.md
@@ -0,0 +1,113 @@
+# Interleaved pair concentration
+
+## Pinned construction and change
+
+The source is Yiyang (@Lyy-iiis), PR2857, commit
+`0b2e2537b368a0cade07ce3f71452ea018ebe394`, package
+`research/shared-kernel-repacking`. Its local words and all native operations,
+frames, helper widths, private buffers and cleanup are retained exactly. The
+source itself depends on Jeremy Kothe's PR2833 at
+`e9307b48d7d1b690939935ecef0f8e524e6d92f4`. `DEPENDENCIES.json` pins the
+entire PR2857 package, including its inherited proof/admission adapters.
+
+Take two copies of the source T37 chronological allocation. A call `(s,r)` at
+time `t` becomes `(s,r+37k)` at time `2t+k`, for `k=0,1`. An owner row
+`[t,h,r,ch,port,off]` becomes `[2t+k,h,r+37k,ch,port,off]`. Each replica's
+30 source events retain exactly their original order. The final two global
+cover/translation events retain their original role in the full reconstruction.
+This is an interleaving of disjoint original blocks, with shared private buffers
+used sequentially; it is not concurrent reuse of a dirty buffer.
+
+In each source copy, bin `(35,16,37)` has capacity 16 and contains exactly
+helper 297 of call 329, width 7, at offset 0. Its unused rank is 9. In the doubled
+allocation, move just the first copy's role:
+
+| Item | Before | After |
+| --- | --- | --- |
+| Call/helper | `(658,297)` | `(658,297)` |
+| Owner replica/child/port | `(35,16,37)` | `(72,16,37)` |
+| Offset | 0 | 7 |
+| Occupancies of the two bins | 7, 7 | 0, 14 |
+| Idle ranks | 9, 9 | 16, 2 |
+
+No other role changes. At the destination the second copy's original width-7
+role occupies offsets 0 through 6, so the new role occupies offsets 7 through
+13. The independent checker derives strict windows from the expanded original
+source events, checks the actual moved call lies inside the destination window,
+and checks per-call physical families, offsets, capacities and every helper.
+Thus it does not assume that an arbitrary interleaving or cross-copy move is
+legal. All 271,728 roles, 666 calls and 74 original stage projections are checked.
+
+## Recurrence price
+
+Let `H_r` be the complete paid profile, including every idle child, and let
+`W` be live families. The complex recurrence moment is
+
+`M_H(a) = (1/W) sum_r H_r (r/73)^(1-a)`.
+
+Doubling the source profile and W leaves this moment unchanged. The transfer
+changes the doubled profile by exactly `H2 + H16 - 2 H9`. For `0<a<1`, the
+function `x^(1-a)` is strictly concave on positive x, and 9 is the midpoint of
+2 and 16. Therefore `2^(1-a)+16^(1-a)<2*9^(1-a)`. This proves a strict moment
+saving throughout the relevant interval. It does not add a local word saving
+to an unrelated packing gain.
+
+The resulting full profile is
+`{1:1611720,2:427573,3:183550,4:85248,5:26196,8:5328,16:1,48:26758}`.
+It has rank mass `4,816,512 = 73*66,304 - 23,680`.
+There are 66,304 live families and 66,794 physical families; the additional
+490 are the retained 408 helpers, eight centres, 72 private buffers and two
+other boundary families. Prefix/precision costs use the inherited block-norm
+contract at T74 and are checked in full admission, not extrapolated from T37.
+
+## Exact endpoint and multiplication exponent
+
+`exact_moment.py` independently encloses logarithms by a range-reduced atanh
+series with an explicit geometric tail, and exponentials by positive Taylor
+terms with an explicit tail. All rounding is directed integer arithmetic;
+gmpy2 is optional acceleration only. It brackets the new complex root in
+
+`[0.001720097402339781716060441963,
+  0.001720097402339781716060441964]`.
+
+The admitted lower endpoint is the 24-place rational
+`C = 0.001720097402339781716060`.
+The retained modern outer wrapper then yields
+
+`kappa = C - 10^-46 - 10^-70`.
+
+Against PR2857's exact `0.001720096628684832600972 - 10^-46 - 10^-70`,
+the gain is exactly
+`48353434319693 / 62500000000000000000000 = 7.73654949115088e-10`.
+The old doubled profile fails at the new C, and advancing C by one 24-place
+grid step also fails. The full outer ledger, not just this moment argument,
+is needed for the integer-multiplication kappa claim. The older supplier-only
+bootstrap kappa is a separate number and is not used as the comparison.
+
+## Retained proof obligations
+
+All inherited conditional obligations remain: all-size compiler and common
+labels; mutable-source access and restoration; whole-call hosting; precision,
+coefficient work and tape accounting; exact recovery; analytic transfer; PR559
+recurrence correction; and the PR589 bit supplier's H1–H5 assumptions. The
+block norm contract and complete physical/private-buffer bill are retained.
+
+In particular the PR1673/PR1758/PR1786 outer lineage still requires its uniform
+Gaussian/locality, accretive Toeplitz circuit, structured boundary stability,
+fine-prime padding and explicit-metadata halo arguments. Finite small-matrix
+replays do not prove uniform analytic stability. The fine-padding wrapper uses
+the explicit-metadata halo branch, not the inapplicable `K0^2=o(p)` branch.
+The source's sparse-union schedule, per-visit record cost and positive asymptotic
+slacks are retained. All-size cutoffs may be enormous; no practical cutoff is
+claimed. The source contains the full credited proof notes and limitations.
+
+The complete admission adapter is the unchanged PR2857 adapter; no validation
+predicate or expected result was edited for this construction. It discovers
+counts from the generated literal allocation, freezes those results, and then
+restarts the complete strict release against them. Its internal historical
+comparison remains PR2848; our separate final binding additionally requires
+strict improvement over the reproduced exact PR2857 headline.
+
+This is conditional finite evidence plus a scoped mathematical argument, not a
+formal proof of the complete asymptotic multiplication theorem. An exponent
+saving is not a measured runtime speedup.
diff --git a/research/shared-kernel-pair-concentration/PROVIDERS.json b/research/shared-kernel-pair-concentration/PROVIDERS.json
new file mode 100644
index 0000000000..23c23cef17
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/PROVIDERS.json
@@ -0,0 +1 @@
+{"extra":{"actual_paid_profile":{"1":2394,"2":642,"3":266,"4":128,"5":26,"8":8},"widths":[9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,4,9,9,9,9,4,9,9,9,9,9,9,9,9,9,9,4,9,9,9,9,4,9,9,9,9,9,9,9,9,4,9,4,9,8,9,9,4,9,9,9,9,9,9,9,9,4,9,4,9,8,9,9,4,9,9,9,9,9,9,4,9,4,9,4,9,9,9,9,4,9,9,9,9,9,9,4,9,4,9,4,9,9,9,9,4,9,9,9,9,9,9,4,9,4,9,4,9,9,9,9,4,9,9,9,9,9,9,4,9,4,9,4,9,9,9,9,4,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,7,7,7,7,7,7,7,7,9,9,9,9,8,9,8,9,9,9,9,9,9,9,9,9,8,8,7,7,7,7,8,9,8,9,7,7,7,7,7,7,9,9,9,9,8,8,8,9,8,8,9,9,9,9,8,7,7,8,9,8,8,9,9,9,9,8,8,8,7,7,7,7,7,7,7,7,8,7,7,7,7,7,7,7,7,7,7,7,8,7,8,8,9,9,9,9,8,8,8,8,7,7,7,7,9,8,9,8,8,8,8,8,7,7,9,8,9,8,7,7,7,7,8,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,5,5,8,8,8,8]},"gauge44":{"actual_paid_profile":{"1":2394,"2":642,"3":266,"4":128,"5":26,"8":8},"widths":[9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,4,9,9,9,9,4,9,9,9,9,9,9,9,9,9,9,4,9,9,9,9,4,9,9,9,9,9,9,9,9,4,9,4,9,8,9,9,4,9,9,9,9,9,9,9,9,4,9,4,9,8,9,9,4,9,9,9,9,9,9,4,9,4,9,4,9,9,9,9,4,9,9,9,9,9,9,4,9,4,9,4,9,9,9,9,4,9,9,9,9,9,9,4,9,4,9,4,9,9,9,9,4,9,9,9,9,9,9,4,9,4,9,4,9,9,9,9,4,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,7,7,7,7,7,7,7,7,9,9,9,9,8,9,8,9,9,9,9,9,9,9,9,9,8,8,7,7,7,7,8,9,8,9,7,7,7,7,7,7,9,9,9,9,8,8,8,9,8,8,9,9,9,9,8,7,7,8,9,8,8,9,9,9,9,8,8,8,7,7,7,7,7,7,7,7,8,7,7,7,7,7,7,7,7,7,7,7,8,7,8,8,9,9,9,9,8,8,8,8,7,7,7,7,9,8,9,8,8,8,8,8,7,7,9,8,9,8,7,7,7,7,8,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,5,5,8,8,8,8]}}
diff --git a/research/shared-kernel-pair-concentration/README.md b/research/shared-kernel-pair-concentration/README.md
new file mode 100644
index 0000000000..12f4b44ba0
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/README.md
@@ -0,0 +1,114 @@
+# Paired concentration of PR2857's rank-nine residues
+
+This scoped derivative of PR2857 interleaves two copies of its T37 allocation
+and moves one width-seven helper. The complete profile changes by
+`H2 + H16 - 2H9` relative to the doubled original. The local words are unchanged.
+
+The exact conditional integer-multiplication exponent saving is
+
+```
+kappa = 0.001720097402339781716060 - 10^-46 - 10^-70
+```
+
+Against the pinned PR2857 construction at
+`0b2e2537b368a0cade07ce3f71452ea018ebe394`, the exact improvement is
+`48353434319693/62500000000000000000000 = 7.73654949115088e-10`.
+See `CLAIM.json` for the complete rational and decimal. This is an exponent
+saving, not a measured speedup. It is author-checked conditional finite evidence,
+not maintainer acceptance or a formal complete multiplication theorem.
+
+## What changes
+
+A source call at time t is duplicated at times 2t and 2t+1 with replica offset
+37. In the resulting T74 allocation, helper 297 of call 658 moves from
+`[owner=35,child=16,port=37,offset=0]` to
+`[owner=72,child=16,port=37,offset=7]`. The two bins' idle ranks change from
+9,9 to 16,2. Strict concavity proves the recurrence price decreases for every
+`0<a<1`; the actual chronology, family exclusion, capacities and all 271,728
+roles are independently checked. `PROOF.md` gives the construction, count,
+recurrence argument and retained conditional obligations.
+
+The complete derived profile is
+`{1:1611720,2:427573,3:183550,4:85248,5:26196,8:5328,16:1,48:26758}`.
+The source and derivative have respectively 333 and 666 calls; their live stock
+is 33,152 and 66,304. The derivative's physical stock is 66,794. The unchanged
+block norm admission prices T74's prefix, precision and private-buffer costs.
+
+## Reproduce
+
+The bounded standard-library check uses committed pinned inputs, regenerates
+all allocation payloads, checks chronology independently, encloses the exact
+moment, and runs source/owner/endpoint corruption controls:
+
+```sh
+python3 -B scripts/research_package.py --package research/shared-kernel-pair-concentration --check-only
+python3.12 -B scripts/research_package.py --package research/shared-kernel-pair-concentration
+```
+
+For a full reproduction, use an isolated environment and the pinned requirements:
+
+```sh
+python3.12 -m venv /tmp/integer-mult-pair-venv
+/tmp/integer-mult-pair-venv/bin/python -m pip install -r research/shared-kernel-pair-concentration/requirements-reproduction.txt
+git fetch --no-tags https://github.com/CrocSwap/integer-mult-bounds.git 0b2e2537b368a0cade07ce3f71452ea018ebe394 e9307b48d7d1b690939935ecef0f8e524e6d92f4
+/tmp/integer-mult-pair-venv/bin/python -B research/shared-kernel-pair-concentration/reproduce.py --repo "$PWD" --work /tmp/integer-mult-pair-fresh --jobs 2
+```
+
+The work path must not exist. The wrapper exports and authenticates the entire
+pinned PR2857 source tree, reproduces its complete documented release, generates
+this allocation, performs independent checks, and invokes PR2857's unchanged
+complete admission adapter. Discovery is followed by a frozen strict release.
+The final binding additionally compares the full rational against the reproduced
+PR2857 headline; the inherited adapter's historical comparator is PR2848.
+
+The baseline replay freshly runs both current native chains. The candidate
+reuses those exact authenticated unchanged words and native outputs. Two older
+native chains and the retained parent proof use PR2857's explicit source-bound
+cache. This is not a cold replay of every historical predecessor. The initial
+PR2853 baseline in this session did run all four native chains fresh.
+
+`evidence/` contains executed receipts, source manifests, control counts and
+command logs. `EXPERIMENTS.md` records failed and superseded approaches.
+Repository-wide `make verify` and selected `make frontier1094-verify` were also
+run on pinned initial and refreshed main. Both currently fail on unchanged
+sources; `REPOSITORY-CHECKS.md` records the exact blockers. No check was weakened.
+
+## Frontier and scope
+
+`FRONTIER.json` separates the reviewed main selected record from pending
+constructions and numerical targets, and records the last live check. The new
+result remains dependent on pending PR2857 and its inherited lineage. The census
+was paginated directly from GitHub; detailed review/check coverage is listed
+explicitly and is not represented as a complete audit of every open PR.
+
+The all-size compiler, common-label/mutable-source, whole-call hosting,
+precision/tape, exact-recovery, analytic-transfer, corrected recurrence and
+bit H1–H5 assumptions remain. See `PROOF.md`. No selected record or frozen
+predecessor is changed.
+
+## Open next questions
+
+See the structured questions in `TASK.json`. The most relevant small question
+is whether a priced multi-role transfer can use the remaining fixed-inventory
+relaxation gap. First inspect the tight patterns and actual residues; there is
+no evidence for a further gain from same-call pair swaps. A larger research
+budget should address a named inherited all-size obligation or change the local
+contract with all consumer and restoration costs included.
+
+## Credit
+
+The construction directly reuses Yiyang (@Lyy-iiis)'s PR2857 shared kernels,
+owner allocation and complete transport. Jeremy Kothe supplied the PR2833 word
+lineage. Philippe Van Velzen's concurrent PR2853 inspired and was the first
+baseline for this run; Marius-Paul Dumitrean's PR2856 vacancy-relay work was
+read before this paired-residue construction and is closely related in method.
+Marius-Paul also contributed the PR2843 allocation lineage; Dugongue supplied
+the PR2839 block norm interface; Tekalign contributed native/admission tools.
+The outer lineage includes Vlado Vojdanovski, Chafik Boukhalfa, dataisfire,
+DreamingOfClouds, eumemic and all contributors credited in the retained NOTICEs.
+No exclusive priority claim is made for vacancy concentration or helper choice.
+
+Substantial OpenAI Codex assistance was used for research, implementation,
+independent checker implementations, exact computation and packaging. These
+are separate code implementations, not independent human review. Apache-2.0;
+source licenses and notices are retained.
diff --git a/research/shared-kernel-pair-concentration/REPOSITORY-CHECKS.md b/research/shared-kernel-pair-concentration/REPOSITORY-CHECKS.md
new file mode 100644
index 0000000000..c2b63b7ea2
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/REPOSITORY-CHECKS.md
@@ -0,0 +1,26 @@
+# Repository-wide required checks
+
+Both required commands were executed, on unchanged baseline main
+`130a7ce63a233e6812b7c037993c721fec827014` and again on refreshed main
+`a5b3fc6d931e16af4f0776e4cea58bf3b1b7e099`.
+
+* `make verify`: exit 2. The community arithmetic checks and twelve copied-word
+  tests pass, then `research/copied-fixed-reversed/producer.py` fails in
+  `scripts/partial_swap/shared.py` while unpacking `t0,t1,t2=target`:
+  `ValueError: not enough values to unpack (expected 3, got 1)`. The fixed
+  reversed graph retains singleton totals, while the newer digest optimization
+  assumes triple-shaped outputs. The new package does not touch these files.
+* `make frontier1094-verify`: exit 2. `verify_selected_result.py` first passes
+  the selected record's exact kappa and source inventory. The historical-source
+  stage then rejects `Selected proof supplement changed:
+  scripts/verify_hpe_lean_binding.py`. The expected historical supplement hash
+  was not changed or bypassed.
+
+The failures also remain on the final refreshed main; their command logs and
+historical-source sub-log are included. They block a claim that the whole
+repository's required suite is green. They are separate from the candidate's
+complete pinned supplier/outer release, which passes.
+
+The registered new package check passes on Python 3.12. Exact source/commit
+byte preflight is recorded separately. No fresh Lean kernel build or hosted
+GitHub CI pass is claimed. Main and upstream frozen packages remain unchanged.
diff --git a/research/shared-kernel-pair-concentration/SOURCES.json b/research/shared-kernel-pair-concentration/SOURCES.json
new file mode 100644
index 0000000000..3195a3a22a
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/SOURCES.json
@@ -0,0 +1,18 @@
+{
+  "schema_version": 1,
+  "base_commit": "a5b3fc6d931e16af4f0776e4cea58bf3b1b7e099",
+  "files": [
+    {
+      "path": "certificates/selected-result.json",
+      "usage": "provenance",
+      "git_blob": "b1fea0c94436b236cc2b7d41a7be032811b94c81",
+      "sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129"
+    },
+    {
+      "path": "docs/research/agent-task-catalog.json",
+      "usage": "provenance",
+      "git_blob": "889b95d936746df124872133ae1e7cc339adcb92",
+      "sha256": "7d185cd8c2af35988d638d969748ad7b670f902606444dbfc748e4402c340df6"
+    }
+  ]
+}
diff --git a/research/shared-kernel-pair-concentration/TASK.json b/research/shared-kernel-pair-concentration/TASK.json
new file mode 100644
index 0000000000..faa36d8cd7
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/TASK.json
@@ -0,0 +1,68 @@
+{
+  "schema_version": 1,
+  "task_id": "selected-packing",
+  "priority_revision": 5,
+  "base_commit": "a5b3fc6d931e16af4f0776e4cea58bf3b1b7e099",
+  "original_card": {
+    "id": "selected-packing",
+    "question": "Is there a genuinely unsearched, explicitly bounded improvement to the selected packing?",
+    "starting_points": [
+      "certificates/selected-result.json",
+      "research/heterogeneous-owner-assembly/README.md",
+      "research/complex-local-word-ceiling/README.md"
+    ],
+    "methods": [
+      "Search a named unclaimed canonical candidate domain with a reproducible partition.",
+      "Prove a stronger scoped relaxation or exact optimum for one named residual subproblem."
+    ],
+    "acceptance_gate": "Check live PR overlap first, price both suppliers and distinguish a search best from an optimum. Report the word's packing cap from ceiling.ceiling() and the fraction of it realized; label packing gains as such.",
+    "first_step": {
+      "command": [
+        "python3",
+        "-B",
+        "scripts/research_baseline.py"
+      ],
+      "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY",
+      "inspect": "Locate the selected packing source in the review and check live PRs for the same residual problem.",
+      "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay."
+    },
+    "first_experiment": "Define an unclaimed canonical domain and a favorable bound before starting a new search.",
+    "bottleneck_link": "An actual paid-profile gain can improve the frontier up to the other supplier cap.",
+    "allowed_variations": [
+      "One bounded residual packing instance or exact relaxation.",
+      "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope."
+    ],
+    "scope_change_triggers": [
+      "Rerunning an existing search with only a different seed as a separate mathematical contribution."
+    ],
+    "overlap_terms": [
+      "T16",
+      "owner exchange",
+      "packing"
+    ]
+  },
+  "scope_status": "changed",
+  "actual_scope": "Bounded paired-replica vacancy concentration on the strongest comparable pending witness identified during the donor-requested live frontier run.",
+  "scope_change_reason": "The explicit donor objective is any genuine strict comparable kappa improvement. PR2857 superseded the first reproduced PR2853 result during the session. The remaining fixed-inventory cap justified one bounded two-copy transfer, not a large new packing campaign.",
+  "bottleneck_link": "A single rank-nine idle child per T37 witness; two interleaved copies expose a legal width-seven transfer with complete delta H2+H16-2H9.",
+  "budget_minutes": 60,
+  "stop_rule": "Stop after complete strict admission and packaging, or on the session limit; preserve negative results and inherited blockers.",
+  "outcome": "completed",
+  "evidence": "Complete strict release PASS_RELEASE, independent chronological allocation and directed integer exact moment checks, source/owner/endpoint rejections. Source-bound current native outputs freshly generated in the pinned baseline replay; older predecessors explicitly reused. Repository-wide pre-existing failures disclosed.",
+  "author": "Research prepared for the requesting user",
+  "ai_assistance": "Substantial OpenAI Codex research, code, exact arithmetic and separate checker implementations; no independent human review claimed.",
+  "open_questions": [
+    {
+      "question": "Can a priced multi-role transfer realize more of the remaining PR2857 fixed-inventory relaxation gap?",
+      "why_it_matters": "Same-call pair exchanges are exhausted in the recorded census; the remaining relaxation gap is only a few parts in 1e9 of kappa.",
+      "first_step": "Inspect the exact tight patterns, actual residual bins and chronological windows; screen a concrete transfer before full admission.",
+      "blocked_by": "No feasible additional chronological witness has been established."
+    },
+    {
+      "question": "Can one retained all-size hosting or precision implication be proved independently?",
+      "why_it_matters": "Finite certificate success leaves the complete asymptotic theorem conditional.",
+      "first_step": "Choose one explicit source-access, compiler or structured-boundary stability obligation from PROOF.md and pin its exact source statement.",
+      "blocked_by": "Outside this finite construction session; small-matrix checks are not a uniform proof."
+    }
+  ]
+}
diff --git a/research/shared-kernel-pair-concentration/VERIFY.json b/research/shared-kernel-pair-concentration/VERIFY.json
new file mode 100644
index 0000000000..527011f248
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/VERIFY.json
@@ -0,0 +1,18 @@
+{
+  "schema_version": 1,
+  "status": "ready",
+  "python": "3.12",
+  "requirements": [],
+  "inputs": [],
+  "commands": [
+    {
+      "argv": [
+        "{python}",
+        "-B",
+        "{package}/verify.py"
+      ],
+      "timeout_seconds": 180,
+      "checks": "Pin source inputs; regenerate full paired allocation; independently verify all roles and source chronology, exact rational moment and strict baseline gain; reject meaningful source/owner/endpoint corruptions."
+    }
+  ]
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/ACTUAL-CONTROLS.json b/research/shared-kernel-pair-concentration/evidence/ACTUAL-CONTROLS.json
new file mode 100644
index 0000000000..84edaa32aa
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/ACTUAL-CONTROLS.json
@@ -0,0 +1,11 @@
+{
+  "admission": 119,
+  "bit": 12,
+  "owner": 8,
+  "geometry": 6,
+  "outer_strict_rows": 63,
+  "outer_rejections": 17,
+  "independent_new_owner_rejections": 4,
+  "independent_new_moment_rejections": 2,
+  "controller": 25
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-PR2853-release.json b/research/shared-kernel-pair-concentration/evidence/baseline-PR2853-release.json
new file mode 100644
index 0000000000..b901bd9eba
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-PR2853-release.json
@@ -0,0 +1,7 @@
+{
+  "status": "PASS_RELEASE",
+  "kappa_decimal": "0.0017193776586975866590473384172607721814008956451425009430412460057503404071040423905924370921614016936349599996575798051733752076399828661071424528133116204108665576478204661464919617598343585484524702974017289809640608310940007596504547313171417642290767559750850327036443763958949276701315614084182582550782294614926854166678633518165095574636737913611722939423541165512669948579876694862940820794322681604047035649250603372674813493877135736770522694109132099158577487850859689383618416103013619426863008011594203958829773923918309467835785404794536680317802530438714723754082219296741326678063354545691266197656204485046940007194603764227886842657612702577257578902524058571682295826925682659917730305714815492526014996524819730258810160527078502095826534892562388431748401788169450709875893003253797487136842479124101169429105650760396697579174626680372202297456465619874841336521809586652402780111990386170172268373381842093293788010598379355684853890605248212741574284011514597757649218351744131074209720903563888742546518188979893906923159239618928523556755972597200527787486209886115453356488096913360689147838372739437326267972125792191920918825536672424513817139955549084830633129444135653843199862948309240531966991187940149380228286528014102762776155575447803552367005005534517354452699818957501259721372120542828957754277842675408852526958902205491479144856936386554518686702861962651880585424919584495474934784892039256289208222943383941527092570568397219339705279712429705426951822294004077902292782618818113902694452450291459939846428719161657151417208049935288685647694598005341935498511152918946247839959268670317549572412477693151973835249041678167828816827686753069808718673844160892815836102376757675036671018117066778433539739956663244138849798929700922384646175178750362230036206095408201215314251989510461803596671705632898242900785593975006517640755013867661549498301431681610793069670853314385776720226983596686726441370877445087824720595253572015639265264941101671404840359960081380843733908048006019122154575405156576095586845977194320757564357586250358409962743428564662035542609645007957479195198614633133624526616981357915749249122668331971690422289899472621447353255713838757067555955951769384517017145131540398127612264007701902090486661652880678411039240152421254959123182586150102956220415049232456104551435853722705332378116189133196894624473164964161901278464988044812290830287125207271322696356586817309654257541649542793451050763742999612659361815742594876874365619721197108394736060040665311340944580538964981258346873524367079294647209815778430967907073900857586430360872971473933612881754758496436326352000702257338896725815583758704393752256248604713672679221076879476083069636687621530504181022342124580618983319715908394692370795173629167220944795079202047435677777747836298580119166304268329679299693147333849102451075930795429135156954198334432354022675041138889869128019798693289176932374813976966998045997730255650851999384815082333308542575305739689999999999999999999998999999999999999999999999",
+  "manifest_sha256": "44ed6a457e1d1ba24726f35db86dc9e551072dd9331a8fed3ad3f0efa33ff0be",
+  "proof": "Supplier: the package's own unchanged `verify.py` (retained PR1297 provider and parent admission, owner reconstruction, parent lift, strict T74 admission, geometry controls): `PASS_T74_EXACT_FILL_COMPLETE_FINITE_ADMISSION`, native reuse none (fresh replays); its complex endpoint 171937765869758665904733841726... brackets the ledger's b = 171937765869758665904733841726077218140089564514250094304124600575034040710404239059243709216140169363495999965757980517337520763998286610714245281331162041086655764782046614649196175983435854845247029740172898096406083109400075965045473131714176422907675597508503270364437639589492767013156140841825825507822946149268541666786335181650955746367379136117229394235411655126699485798766948629408207943226816040470356492506033726748134938771357367705226941091320991585774878508596893836184161030136194268630080115942039588297739239183094678357854047945366803178025304387147237540822192967413266780633545456912661976562044850469400071946037642278868426576127025772575789025240585716822958269256826599177303057148154925260149965248197302588101605270785020958265348925623884317484017881694507098758930032537974871368424791241011694291056507603966975791746266803722022974564656198748413365218095866524027801119903861701722683733818420932937880105983793556848538906052482127415742840115145977576492183517441310742097209035638887425465181889798939069231592396189285235567559725972005277874862098861154533564880969133606891478383727394373262679721257921919209188255366724245138171399555490848306331294441356538431998629483092405319669911879401493802282865280141027627761555754478035523670050055345173544526998189575012597213721205428289577542778426754088525269589022054914791448569363865545186867028619626518805854249195844954749347848920392562892082229433839415270925705683972193397052797124297054269518222940040779022927826188181139026944524502914599398464287191616571514172080499352886856476945980053419354985111529189462478399592686703175495724124776931519738352490416781678288168276867530698087186738441608928158361023767576750366710181170667784335397399566632441388497989297009223846461751787503622300362060954082012153142519895104618035966717056328982429007855939750065176407550138676615494983014316816107930696708533143857767202269835966867264413708774450878247205952535720156392652649411016714048403599600813808437339080480060191221545754051565760955868459771943207575643575862503584099627434285646620355426096450079574791951986146331336245266169813579157492491226683319716904222898994726214473532557138387570675559559517693845170171451315403981276122640077019020904866616528806784110392401524212549591231825861501029562204150492324561045514358537227053323781161891331968946244731649641619012784649880448122908302871252072713226963565868173096542575416495427934510507637429996126593618157425948768743656197211971083947360600406653113409445805389649812583468735243670792946472098157784309679070739008575864303608729714739336128817547584964363263520007022573388967258155837587043937522562486047136726792210768794760830696366876215305041810223421245806189833197159083946923707951736291672209447950792020474356777777478362985801191663042683296792996931473338491024510759307954291351569541983344323540226750411388898691280197986932891769323748139769669980459977302556508519993848150823333085425753057396899999999999999999999999999999999999999999999999999999999999999999999999999999999/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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Outer (PR1673 capped phase-cell fusion): regenerated exact ledger (63 strict inequalities: the 62 retained rows plus the explicit main-binding row gaussian_above_main, the fixed-grid maximum kappa = C - 1/F - B asserted, 17 rejecting controls incl. the old g-factor union row, the old linear and old-theta chirp guards, the old 2*beta tag test, epsilon at 1 or at the r0 slack and beta outside its window, larger endpoint rejected by the native moment), independent balance derivation, the exact union-schedule simulation, the (retained, not used for kappa) structured-boundary displacement-rank check, the gauge-free identity/symbol/circuit checks, PR1786's finite prime/underflow controls and 19 exact evidence replays all pass. Conditional kappa 0.0017193776586975866590473384172607721814008956451425009430412460057503404071040423905924370921614016936349599996575798051733752076399828661071424528133116204108665576478204661464919617598343585484524702974017289809640608310940007596504547313171417642290767559750850327036443763958949276701315614084182582550782294614926854166678633518165095574636737913611722939423541165512669948579876694862940820794322681604047035649250603372674813493877135736770522694109132099158577487850859689383618416103013619426863008011594203958829773923918309467835785404794536680317802530438714723754082219296741326678063354545691266197656204485046940007194603764227886842657612702577257578902524058571682295826925682659917730305714815492526014996524819730258810160527078502095826534892562388431748401788169450709875893003253797487136842479124101169429105650760396697579174626680372202297456465619874841336521809586652402780111990386170172268373381842093293788010598379355684853890605248212741574284011514597757649218351744131074209720903563888742546518188979893906923159239618928523556755972597200527787486209886115453356488096913360689147838372739437326267972125792191920918825536672424513817139955549084830633129444135653843199862948309240531966991187940149380228286528014102762776155575447803552367005005534517354452699818957501259721372120542828957754277842675408852526958902205491479144856936386554518686702861962651880585424919584495474934784892039256289208222943383941527092570568397219339705279712429705426951822294004077902292782618818113902694452450291459939846428719161657151417208049935288685647694598005341935498511152918946247839959268670317549572412477693151973835249041678167828816827686753069808718673844160892815836102376757675036671018117066778433539739956663244138849798929700922384646175178750362230036206095408201215314251989510461803596671705632898242900785593975006517640755013867661549498301431681610793069670853314385776720226983596686726441370877445087824720595253572015639265264941101671404840359960081380843733908048006019122154575405156576095586845977194320757564357586250358409962743428564662035542609645007957479195198614633133624526616981357915749249122668331971690422289899472621447353255713838757067555955951769384517017145131540398127612264007701902090486661652880678411039240152421254959123182586150102956220415049232456104551435853722705332378116189133196894624473164964161901278464988044812290830287125207271322696356586817309654257541649542793451050763742999612659361815742594876874365619721197108394736060040665311340944580538964981258346873524367079294647209815778430967907073900857586430360872971473933612881754758496436326352000702257338896725815583758704393752256248604713672679221076879476083069636687621530504181022342124580618983319715908394692370795173629167220944795079202047435677777747836298580119166304268329679299693147333849102451075930795429135156954198334432354022675041138889869128019798693289176932374813976966998045997730255650851999384815082333308542575305739689999999999999999999998999999999999999999999999 (union schedule outer/UNION-SCHEDULE.md; explicit Strassen boundary tau=45/16 (the structured boundary of outer/STRUCTURED-BOUNDARY.md is not used); gauge-free interiors outer/GAUGEFREE-INTERIORS.md; fine source-prime padding PR1786 at the free point epsilon=1-(1025/1024)e-3080, outer/FINE-PADDING-COMPOSITION.md; fixed-grid maximum of PR2180/PR2161 (dataisfire), outer/PROOF-GRID-MAX.md; exact-integer coarse exponential PR2168/PR2184 (dataisfire) at the one 3000-digit rejection call).",
+  "seconds": 838.88
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/RESULT.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/RESULT.json
new file mode 100644
index 0000000000..b0688d1495
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/RESULT.json
@@ -0,0 +1,129 @@
+{
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+  "derived_source_manifest_sha256": "54dc42f25c1d8b85adcf593c4bf6c0f83f7351388af857812790b8a0b4c3d869",
+  "fresh_current_native_chains": 2,
+  "gain": "1438120379902596153/1000000000000000000000000",
+  "generated_package_manifest_sha256": "62d0e878a08a13cba7dfd2421083ea3f30cea45e04b850a4a7032e5146c38e92",
+  "input_sha256": {
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/DISPATCH.json": "5513481a70c83767b5836b15fb7ff204d2a8f8fca83c6bcaee90a20b3d1ec6c4",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/FILL.json.gz": "82218aaaf08825bd4a3cca676815c7e9c00d06d0da123b1c5ad234c8c91cb501",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/ORDER.json": "84f030a59dde4fa4635988ef0931ebae66964b3a202df79d38247fbe8a5592dc",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/admit_shared_replica.py": "c36c482e5df550daf1e0f0da8ed71eb00e12ac41df8de973583f4db9d98f586f",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/build_overlay.py": "4c83a251a03045144608456e6b3bdbcced9255ce7c2d89f7039e766972100666",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/evidence/retained/NATIVE-RECEIPT.json": "a56d2fe28812e93c5526564ef77f7e5e8d1cbb111efeb6c3b0f53c9ec01ca2bc",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/prepare_shared_native.py": "9d86bf49f6aec1d4f671a5d060815e97cb470151221a29fba736e91f06c74b07",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/review_four_groups.py": "5b323e50fb5a10ac088472b3e085b54d7d2ae3a29f8552ff44b788a984eb97d1",
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+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/sources/PR2848-CLAIM.json": "aceb1394b3e8f3abcc9b1a0dc82756ab937ffbefc2f37305a229a00ccc5137e9",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/sources/PR2853-OUTER-CLAIM.json": "eb3260be191774b931cff6e562978a2af27bbc6ff666ca8c1d387a2b18dc86fa",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/blocknorm_certificate.py": "e5bfbad8e8e6cb4206f7ba92d333780f423918d8f217b474302346169e991f92",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/lift_parent.py": "9a1edd7d4ab4a2f2ac8d15b42b7e40f93653d65026bac59e4c1ce80b486bd60e",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/reconstruct_replica.py": "5472811c24aef3852dc7e189dff5060076a6c0b25bfde928da50dcfe9b5bdc15",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/replica_parent.py": "48bdbf28f59d80edb266803ec61bf5e22e8fb5e5a0e2b88004b6039147589bd4",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/words/WORD-base.json.gz": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/words/WORD-extra.json.gz": "bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546"
+  },
+  "kappa": "17200966286848326009719999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "kappa_decimal": "0.0017200966286848326009719999999999999999999998999999999999999999999999",
+  "native_receipt_sha256": "abfcf708140df4cd91b6c81a4f7610bf128eb81baf6e5c97e9b90bf625b9b978",
+  "release_receipt_sha256": "e1399852cdbb3d6e14c58cc4234ae40788016a6e22b2770da07bc30a05a7d7f7",
+  "reused_retained_native_chains": 2,
+  "reused_retained_parent": true,
+  "scope": "Conditional finite supplier and modern outer release; unchanged inherited all-size/compiler/hosting/precision/tape/analytic obligations remain. Two changed providers run fresh; retained provider/parent proof explicitly reused by full-tree hashes.",
+  "secondary_comparison": {
+    "approx_gain": 7.189699872459419e-07,
+    "claim_sha256": "eb3260be191774b931cff6e562978a2af27bbc6ff666ca8c1d387a2b18dc86fa",
+    "field": "kappa_rational",
+    "gain": 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+    "head": "d01045dfb67428679618027dff552f1d032fa999",
+    "pr": 2853
+  },
+  "seconds": 498.9445424859996,
+  "source_derivation_sha256": "da6024f182a95a5b39cfbc24638aff14a104c2e7cf3037aa5840ef4fc6395eb7",
+  "source_manifest_sha256": "c8ec4d1b7be08d2ad30730a07392ad9cb6d0222f2c35bef43c9a80a39b16e41f",
+  "stages": [
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/build_overlay.py",
+        "--source",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/pr2833",
+        "--generator",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/shared_kernel.py",
+        "--review",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/review_four_groups.py",
+        "--candidate-dir",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/words",
+        "--out",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source"
+      ],
+      "exit_code": 0,
+      "log_sha256": "f2bbb6462b3f5bb8a6415bb33c0c35355353b13343ddb90961660f7473caa5a2",
+      "seconds": 1.7231188490000022,
+      "stage": "derive-source"
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/prepare_shared_native.py",
+        "--source",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source",
+        "--retained-cache",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/retained-cache",
+        "--retained-receipt",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/evidence/retained/NATIVE-RECEIPT.json",
+        "--out",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native",
+        "--jobs",
+        "2"
+      ],
+      "exit_code": 0,
+      "log_sha256": "57a95a5df95aa0574b48d59d71a6e5e84d017172e51b8627d8713c52a7134206",
+      "seconds": 78.8386267030005,
+      "stage": "fresh-current-native"
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/admit_shared_replica.py",
+        "--source",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source",
+        "--fill",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/FILL.json.gz",
+        "--order",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/ORDER.json",
+        "--dispatch",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/DISPATCH.json",
+        "--native-cache",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache",
+        "--native-receipt",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/NATIVE-RECEIPT.json",
+        "--work",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate",
+        "--replica-helper-dir",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839",
+        "--reconstructor",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/reconstruct_replica.py",
+        "--blocknorm-checker",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/blocknorm_certificate.py",
+        "--comparison-claim",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/sources/PR2848-CLAIM.json",
+        "--source-profile",
+        "shared-four",
+        "--comparison-profile",
+        "pr2848",
+        "--jobs",
+        "2"
+      ],
+      "exit_code": 0,
+      "log_sha256": "96af884c6eeec6a581d6e60dcb5985a97e6e6870469b5afc117f554ed209ce50",
+      "seconds": 418.20768154399957,
+      "stage": "complete-admission"
+    }
+  ],
+  "status": "PASS_SHARED_KERNEL_PORTABLE_COMPLETE_REPLAY",
+  "wrapper_sha256": "7fc4cd1277f42ba0a25a1eae72c6290878fefd5bab7053f4e548c15d95d914c5"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/STAGES.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/STAGES.json
new file mode 100644
index 0000000000..b887ebdfd2
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/STAGES.json
@@ -0,0 +1,83 @@
+[
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/build_overlay.py",
+      "--source",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/pr2833",
+      "--generator",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/shared_kernel.py",
+      "--review",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/review_four_groups.py",
+      "--candidate-dir",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/words",
+      "--out",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source"
+    ],
+    "exit_code": 0,
+    "log_sha256": "f2bbb6462b3f5bb8a6415bb33c0c35355353b13343ddb90961660f7473caa5a2",
+    "seconds": 1.7231188490000022,
+    "stage": "derive-source"
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/prepare_shared_native.py",
+      "--source",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source",
+      "--retained-cache",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/retained-cache",
+      "--retained-receipt",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/evidence/retained/NATIVE-RECEIPT.json",
+      "--out",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native",
+      "--jobs",
+      "2"
+    ],
+    "exit_code": 0,
+    "log_sha256": "57a95a5df95aa0574b48d59d71a6e5e84d017172e51b8627d8713c52a7134206",
+    "seconds": 78.8386267030005,
+    "stage": "fresh-current-native"
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/admit_shared_replica.py",
+      "--source",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source",
+      "--fill",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/FILL.json.gz",
+      "--order",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/ORDER.json",
+      "--dispatch",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/DISPATCH.json",
+      "--native-cache",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache",
+      "--native-receipt",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/NATIVE-RECEIPT.json",
+      "--work",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate",
+      "--replica-helper-dir",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839",
+      "--reconstructor",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/reconstruct_replica.py",
+      "--blocknorm-checker",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/blocknorm_certificate.py",
+      "--comparison-claim",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/sources/PR2848-CLAIM.json",
+      "--source-profile",
+      "shared-four",
+      "--comparison-profile",
+      "pr2848",
+      "--jobs",
+      "2"
+    ],
+    "exit_code": 0,
+    "log_sha256": "96af884c6eeec6a581d6e60dcb5985a97e6e6870469b5afc117f554ed209ce50",
+    "seconds": 418.20768154399957,
+    "stage": "complete-admission"
+  }
+]
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/RESULT.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/RESULT.json
new file mode 100644
index 0000000000..def1b6bac1
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/RESULT.json
@@ -0,0 +1,383 @@
+{
+  "actual_expected_helpers": 408,
+  "comparison_claim_sha256": "aceb1394b3e8f3abcc9b1a0dc82756ab937ffbefc2f37305a229a00ccc5137e9",
+  "comparison_head": "c50d12e4720cd1fef2b5a65e337e37de9731879a",
+  "comparison_kappa": "17186585083049300048189999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "comparison_pr": 2848,
+  "complex_lower": "430024157171208150243/250000000000000000000000",
+  "dispatch_sha256": "5513481a70c83767b5836b15fb7ff204d2a8f8fca83c6bcaee90a20b3d1ec6c4",
+  "external_input_sha256": {
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/DISPATCH.json": "5513481a70c83767b5836b15fb7ff204d2a8f8fca83c6bcaee90a20b3d1ec6c4",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/FILL.json.gz": "82218aaaf08825bd4a3cca676815c7e9c00d06d0da123b1c5ad234c8c91cb501",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/ORDER.json": "84f030a59dde4fa4635988ef0931ebae66964b3a202df79d38247fbe8a5592dc",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/sources/PR2848-CLAIM.json": "aceb1394b3e8f3abcc9b1a0dc82756ab937ffbefc2f37305a229a00ccc5137e9",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/blocknorm_certificate.py": "e5bfbad8e8e6cb4206f7ba92d333780f423918d8f217b474302346169e991f92",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/lift_parent.py": "9a1edd7d4ab4a2f2ac8d15b42b7e40f93653d65026bac59e4c1ce80b486bd60e",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/reconstruct_replica.py": "5472811c24aef3852dc7e189dff5060076a6c0b25bfde928da50dcfe9b5bdc15",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/replica_parent.py": "48bdbf28f59d80edb266803ec61bf5e22e8fb5e5a0e2b88004b6039147589bd4"
+  },
+  "fill_sha256": "82218aaaf08825bd4a3cca676815c7e9c00d06d0da123b1c5ad234c8c91cb501",
+  "gain": "1438120379902596153/1000000000000000000000000",
+  "kappa": "17200966286848326009719999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "kappa_decimal": "0.0017200966286848326009719999999999999999999998999999999999999999999999",
+  "native_receipt_sha256": "abfcf708140df4cd91b6c81a4f7610bf128eb81baf6e5c97e9b90bf625b9b978",
+  "order_sha256": "84f030a59dde4fa4635988ef0931ebae66964b3a202df79d38247fbe8a5592dc",
+  "package_manifest_sha256": "62d0e878a08a13cba7dfd2421083ea3f30cea45e04b850a4a7032e5146c38e92",
+  "patches": [
+    {
+      "after_sha256": "52f8b4cec2dab69cbe590e1fd0f7a68e1b35de5a540bd22fd2adfce07a92b46b",
+      "before_sha256": "faf283eb4edd2e6a1ccb40b3cb3ba30ae54338eaf5ea0a10d84d11d7939502af",
+      "path": "new/rebind.py",
+      "replacements": [
+        [
+          "physical=spec['expected']['live'] + 8 + R + 2)",
+          "physical=spec['expected']['live'] + 8 + R + 2 + max(len(rd(d / 'CANONICAL-WORD.json.gz').get('zero_buffers', [])) for d in locs.values()))"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "99bef04f24a99088e5c0c9b8f6bbc8386669d8315b8f572d6bbfb932c5d51145",
+      "before_sha256": "7edb4732b34e5814b27650a55c938626cb50d68f06397744dd4fe451437e90e0",
+      "path": "geometry_controls.py",
+      "replacements": [
+        [
+          " i['complete_invocation_sweeps']=i['bridge_sweeps']=333",
+          " i['complete_invocation_sweeps']-=1;i['bridge_sweeps']-=1"
+        ],
+        [
+          " o,i=copy.deepcopy(owner),copy.deepcopy(invoice);fn(o,i);oh=digest(o);i['owner_audit_sha256']=oh",
+          " o,i=copy.deepcopy(owner),copy.deepcopy(invoice);fn(o,i);assert (o,i)!=(owner,invoice), 'geometry mutant must change actual receipts';oh=digest(o);i['owner_audit_sha256']=oh"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "6cfefe80c02a6c0f243f50ca9e146e1ab1440b84a033d8a71d42be5a5fa27f6b",
+      "before_sha256": "c43680a2da390f79925547a5ee1919d8a76637cccf98e2c8164b6f667fbc3183",
+      "path": "verify_release.py",
+      "replacements": [
+        [
+          "Fraction(1, 10 ** 3046) - Fraction(1, 10 ** 3022)",
+          "Fraction(1, 10 ** (spec['outer_refinement']['endpoint_digits'] + 46)) - Fraction(1, 10 ** (spec['outer_refinement']['endpoint_digits'] + 22))"
+        ],
+        [
+          "epsilon=1-(1025/1024)e-3080",
+          "epsilon=1-(1025/1024)e-{spec['outer_refinement']['endpoint_digits']+80}"
+        ],
+        [
+          "at the one 3000-digit rejection call",
+          "at the one {spec['outer_refinement']['endpoint_digits']}-digit rejection call"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "1dd56009986eb14dd6603c9193c7ad71dd45c7d005bf71c9cd3f916e66f54d98",
+      "before_sha256": "9e12909c73d3b3a31a45d801ae76c034510d6306400412e474df79bc4f1dc67e",
+      "path": "outer/check_ledger.py",
+      "replacements": [
+        [
+          "assert (m,W)==(73,66304)",
+          "T=spec['geometry']['replicas']\nassert type(T) is int and T>0\nassert m==73 and W==896*T and W==BJ['live']"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "ebaf637f1f818dac9c0fce0ee3f18df300873105818cea29a8ae9e8b737b5c7d",
+      "before_sha256": "08ca58abff11bdfba721dc56ab8acf06ec1b7c48a8699a0955cf35324680aca7",
+      "path": "code/witness.py",
+      "replacements": [
+        [
+          "   with open(os.environ['WITNESS_RECORD'],'a')as f:f.write(json.dumps([key,got],default=str)+chr(10))",
+          "   import time as _wr_time\n   _wr_path=Path(os.environ['WITNESS_RECORD'])\n   _wr_lock=_wr_path.with_name(_wr_path.name+'.append.lock')\n   _wr_deadline=_wr_time.monotonic()+60\n   _wr_fd=None\n   while _wr_fd is None:\n    try:_wr_fd=os.open(_wr_lock,os.O_CREAT|os.O_EXCL|os.O_WRONLY)\n    except FileExistsError:\n     if _wr_time.monotonic()>=_wr_deadline:raise TimeoutError('discovery record lock timeout; existing lock preserved')\n     _wr_time.sleep(.005)\n   try:\n    with _wr_path.open('a',encoding='utf-8',newline='\\n')as _wr_out:\n     _wr_out.write(json.dumps([key,got],default=str)+chr(10))\n     _wr_out.flush()\n   finally:\n    os.close(_wr_fd)\n    _wr_lock.unlink()"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "114a80b70c8c4819f10adf88aefc1571b18337e5da92bcff2ca3aa001650b83c",
+      "before_sha256": "1591a3eed02d3532e46183543bd2ddc7129c079a5fd70f1e6b4d9bc897153e92",
+      "path": "verify.py",
+      "replacements": [
+        [
+          "run('lift-parent',P/'lift_parent.py','--owners',work/'rebuilt-owners','--out',work/'rebuilt-parent')",
+          "run('lift-parent',P/'lift_parent.py','--package',P,'--owners',work/'rebuilt-owners','--out',work/'rebuilt-parent')"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "0d8cc021d2401d047aaec79060ec2ea28ba06f12eca8dbf4c60c78bb31975c4e",
+      "before_sha256": "ebaf637f1f818dac9c0fce0ee3f18df300873105818cea29a8ae9e8b737b5c7d",
+      "path": "code/witness.py",
+      "replacements": [
+        [
+          "PAYLOAD==1<<(192+(GEO['dimension']+1)//2+2*CALLS+4).bit_length()",
+          "PAYLOAD==1<<(128+(GEO['dimension']+1)//2+18+1330+1+4).bit_length()"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "c5106e0d7a97382677fa228fbade989262347968a0e54acfcf6712aa37e02f47",
+      "before_sha256": "bb213d0af12218ff7c9c572717e522d8bbeeb2856b87a253f4a7f44e0fd71f15",
+      "path": "code/invoice_allcold.py",
+      "replacements": [
+        [
+          "    required_prefix=localbits+input_l2_bits+call_count+bridge_sweeps+4",
+          "    from blocknorm_certificate import certify\n    blocknorm=certify(template, {pid:base/'providers'/pid for pid in template['local_providers']})\n    assert blocknorm['status'] == 'PASS_TENSOR_BLOCK_NORM_CERTIFICATE'\n    assert localbits <= 128, 'actual native scalar/Horner prefix exceeds charged local reserve'\n    required_prefix=localbits+input_l2_bits+blocknorm['max_active_depth']+blocknorm['stock_l2_bits']+1+4"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "0d522b09c7fe6a5e62fe80c28f3eefe733557a82d77c6212e5d4b91ffb7e3421",
+      "before_sha256": "02502a217fe8c9e10229075b50745518beac512c48db20e64c3e06514a4da5b5",
+      "path": "independent_core.py",
+      "replacements": [
+        [
+          "    payload = 1 << (192 + (M+1)//2 + 2*len(c['order']) + 4).bit_length()",
+          "    require(localbits <= 128, 'measured native prefix exceeds local reserve')\n    payload = 1 << (128 + (M+1)//2 + 18 + 1330 + 1 + 4).bit_length()"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "d598a2ac1e2e8eaee14a8c285e0277a7ae44ca6a15bd2b5cfc67fb40844fb387",
+      "before_sha256": "c5106e0d7a97382677fa228fbade989262347968a0e54acfcf6712aa37e02f47",
+      "path": "code/invoice_allcold.py",
+      "replacements": [
+        [
+          "        complete_invocation_sweeps=call_count,bridge_sweeps=bridge_sweeps,row_prefix_extra=2*payload,",
+          "        complete_invocation_sweeps=call_count,bridge_sweeps=bridge_sweeps,row_prefix_extra=2*payload,blocknorm=blocknorm,"
+        ],
+        [
+          "        primitive_arithmetic_margin_bits=4,controller_audit_sha256=",
+          "        tensor_block_norm=blocknorm,partial_cover_margin_bits=1,physical_stock_l2_bits=blocknorm['stock_l2_bits'],primitive_arithmetic_margin_bits=4,controller_audit_sha256="
+        ],
+        [
+          "Sum every actual invocation and bridge sweep and take the maximum local scalar/Horner prefix over both orientations of the fixed provider.",
+          "All invocations and bridge sweeps remain charged. Bound completed-boundary energy by at most eighteen active steps per owner replica, using exact tensor-isomorphic whole-family helper unitaries. Add the full group-indexed physical-stock sup-to-l2 factor and one partial-cover margin, then the maximum local scalar/Horner prefix."
+        ]
+      ]
+    },
+    {
+      "after_sha256": "e051aaa166e01263780d5ae03699690670b597fed6593af4c37a7e978825eb85",
+      "before_sha256": "0d522b09c7fe6a5e62fe80c28f3eefe733557a82d77c6212e5d4b91ffb7e3421",
+      "path": "independent_core.py",
+      "replacements": [
+        [
+          "    prefix = localbits + (M + 1) // 2 + len(c['order']) + c['bridges'] + 4",
+          "    bn=c['blocknorm']\n    require(bn['status']=='PASS_TENSOR_BLOCK_NORM_CERTIFICATE' and bn['max_active_depth']==18 and bn['stock_l2_bits']<=1330, 'independent tensor block certificate')\n    prefix = localbits + (M + 1) // 2 + bn['max_active_depth'] + bn['stock_l2_bits'] + 1 + 4"
+        ],
+        [
+          "prefix_formula=dict(local_scalar=localbits, input_l2=(M + 1) // 2, invocations=len(c['order']), bridges=c['bridges'], margin=4)",
+          "prefix_formula=dict(local_scalar=localbits, input_l2=(M + 1) // 2, invocations=len(c['order']), bridges=c['bridges'], active_block_depth=18,stock_l2=bn['stock_l2_bits'],partial_cover=1,margin=4),blocknorm=bn"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "393323f150d0bb686419804d51cf43d0f58450d2a1e7929725acdd26fdbb3640",
+      "before_sha256": "2286f00e462ff28abbb3f396095463482a1e063213b9526a7225275980c77eaf",
+      "path": "audit_mixed.py",
+      "replacements": [
+        [
+          "pending=A.check_pending_axes(ctx);receipt=A.check_roles(ctx,roles)",
+          "import blocknorm_certificate as BN;ctx['blocknorm']=BN.certify_context(ctx,roles,dirs,source_parent=parent);pending=A.check_pending_axes(ctx);receipt=A.check_roles(ctx,roles)"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "4e7b5ddd11b23c92ab26bc0c80884ed64a2d45e9247b5f52bc03f27fa83dbee0",
+      "before_sha256": "f25e1e870df5d5a16a1e367b3df8843cb01644ab4b75895d7939af81e4fcb833",
+      "path": "code/assemble.py",
+      "replacements": [
+        [
+          " assert invoice['global_prefix_bits']==max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())+37+CALLS+CALLS+4",
+          " bn=invoice['blocknorm']\n assert bn['status']=='PASS_TENSOR_BLOCK_NORM_CERTIFICATE' and bn['replicas']==REPLICAS\n assert bn['max_active_depth']==bn['boundary_depth_bits']==18 and bn['active_calls_per_block']==bn['bridges_per_block']==9\n assert bn['block_width_families']==896 and bn['physical_families']==invoice['physical'] and bn['live_families']==invoice['live']\n assert bn['partial_cover_bits']==1 and bn['input_l2_bits']==37 and bn['local_reserve_bits']==128 and bn['retained_payload_bits']==PAYLOAD\n localbits=max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())\n assert bn['local_actual_prefix_bits']==localbits and localbits<=128\n assert invoice['global_prefix_bits']==bn['actual_prefix_bits']==localbits+37+18+bn['stock_l2_bits']+1+4\n assert bn['required_reserve_bits']==128+37+18+bn['stock_l2_bits']+1+4<PAYLOAD\n expected_endpoint=dict(all_arbitrary_columns=632,helper_to_data_response_zero=True,centres_first_clear_and_terminal_zero=8,zero_buffers_allocated_and_cleared=72,coefficient_work_contract='unchanged audited clear-before-and-after Horner macro')\n assert bn['endpoint_replay']=={pid:{o:expected_endpoint for o in ('forward','backward')} for pid in invoice['providers']}"
+        ],
+        [
+          " stock=group*invoice['physical'];streamed_mass=group*owner['rank_mass']",
+          " stock=group*invoice['physical'];streamed_mass=group*owner['rank_mass']\n assert bn['physical_stock_bits']==stock.bit_length() and bn['stock_l2_bits']==(stock.bit_length()+1)//2<=1330"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "b7a6a7dbca02aec52d7807ed3104362b0fab1014d2f624b5fe638a3f30f65133",
+      "before_sha256": "d7675ff0b0994b29541d37eaa3010c5f39bb1447700c9f8e750522bf8c951f56",
+      "path": "code/assembly_controls.py",
+      "replacements": [
+        [
+          "        i['global_prefix_bits'] = 1 + 37 + CALLS + CALLS + 4",
+          "        i['global_prefix_bits'] = 1 + 37 + 18 + i['blocknorm']['stock_l2_bits'] + 1 + 4"
+        ],
+        [
+          "        ('wrong_global_prefix_sum', lambda o, i: i.__setitem__('global_prefix_bits', 224)),",
+          "        ('wrong_global_prefix_sum', lambda o, i: i.__setitem__('global_prefix_bits', 224)),\n        ('missing_blocknorm', lambda o,i:i.pop('blocknorm')),\n        ('understated_active_depth',lambda o,i:i['blocknorm'].__setitem__('max_active_depth',17)),\n        ('understated_full_stock_norm',lambda o,i:i['blocknorm'].__setitem__('stock_l2_bits',10)),\n        ('missing_partial_cover_margin',lambda o,i:i['blocknorm'].__setitem__('partial_cover_bits',0)),\n        ('forged_helper_response',lambda o,i:i['blocknorm']['endpoint_replay'][next(iter(i['providers']))]['forward'].__setitem__('helper_to_data_response_zero',False)),"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "9612cc95bfa2a36a9d9cbdcedc557f28f52e83f20f113ab21d0d54cf9c190be2",
+      "before_sha256": "1d965b7a329b98008fcc67e73d03dcf6e75f0f33c2858a39f1182bb3d0ed0ea1",
+      "path": "freeze_spec.py",
+      "replacements": [
+        [
+          "spec['expected']['assembly_controls_rejected'] = 32 + sum(",
+          "spec['expected']['assembly_controls_rejected'] = 37 + sum("
+        ]
+      ]
+    },
+    {
+      "after_sha256": "cda0f3a63c5c92c0ff45f7f3a200567d7931fd421836e72ea3b8534f6ee24dcc",
+      "before_sha256": "3ec4330ede0db3c6daa453b0366817be9435c85c8c3213a0c35c442c96c1a955",
+      "path": "replay.py",
+      "replacements": [
+        [
+          "len(rd(work/'ADMISSION-CONTROLS.json')['rejected_controls'])==114",
+          "len(rd(work/'ADMISSION-CONTROLS.json')['rejected_controls'])==119"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "55db009f9ecdff75876984f39de9b75055c6b6f7db06e51424c22085cde44993",
+      "before_sha256": "114a80b70c8c4819f10adf88aefc1571b18337e5da92bcff2ca3aa001650b83c",
+      "path": "verify.py",
+      "replacements": [
+        [
+          "['replay.py','freeze_spec.py','audit_mixed.py','independent_core.py','geometry_controls.py','audit_fast.py']",
+          "['replay.py','freeze_spec.py','audit_mixed.py','independent_core.py','geometry_controls.py','audit_fast.py','blocknorm_certificate.py']"
+        ],
+        [
+          "controls=dict(admission=114,bit=12,controller=15,independent_owner=8,geometry=6)",
+          "controls=dict(admission=119,bit=12,controller=15,independent_owner=8,geometry=6)"
+        ]
+      ]
+    }
+  ],
+  "profile": {
+    "1": 805860,
+    "2": 213786,
+    "3": 91775,
+    "4": 42624,
+    "48": 13379,
+    "5": 13098,
+    "8": 2664,
+    "9": 1
+  },
+  "release_receipt_sha256": "e1399852cdbb3d6e14c58cc4234ae40788016a6e22b2770da07bc30a05a7d7f7",
+  "replicas": 37,
+  "scope": "Conditional finite construction and modern outer arithmetic. Exact inherited theorem obligations remain. Both native providers explicitly reused from authenticated fresh five-stage runs.",
+  "source_commit": "shared-four-kernel-pr2833",
+  "source_file_count": 547,
+  "source_manifest_sha256": "54dc42f25c1d8b85adcf593c4bf6c0f83f7351388af857812790b8a0b4c3d869",
+  "source_profile": "shared-four",
+  "source_upstream_head": "e9307b48d7d1b690939935ecef0f8e524e6d92f4",
+  "stages": [
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package/reconstruct.py",
+        "--out",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/owners"
+      ],
+      "exit_code": 0,
+      "log_sha256": "c428a9572a1f42f227c5d7f1bf9660bab5c2384466536043640504c46aadb6b6",
+      "name": "owners",
+      "script_sha256": "5472811c24aef3852dc7e189dff5060076a6c0b25bfde928da50dcfe9b5bdc15",
+      "seconds": 2.9420228680000946
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package/lift_parent.py",
+        "--package",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package",
+        "--owners",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/owners",
+        "--out",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/parent-data"
+      ],
+      "exit_code": 0,
+      "log_sha256": "ea74ad55229acb8d6979bf7307e2875049dbb18bc4a9309719cb7011cc36dcec",
+      "name": "parent-lift",
+      "script_sha256": "9a1edd7d4ab4a2f2ac8d15b42b7e40f93653d65026bac59e4c1ce80b486bd60e",
+      "seconds": 7.237580461000107
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package/new/rebind.py",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546/local",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/rebound"
+      ],
+      "exit_code": 0,
+      "log_sha256": "0b1693d2c13addcf8b2e3004887ca35bbf20cba5e4f3497f38643740fc6fe7a7",
+      "name": "rebind",
+      "script_sha256": "52f8b4cec2dab69cbe590e1fd0f7a68e1b35de5a540bd22fd2adfce07a92b46b",
+      "seconds": 0.5642027780004355
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/packing74/replay.py",
+        "--data",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/packing74/candidate",
+        "--work",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/discovery",
+        "--local",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local",
+        "--discover"
+      ],
+      "exit_code": 0,
+      "log_sha256": "2a3d3dd0eba4b8c4ebdcdec46ccf239db633ed0ef584066508d44ad5c855928f",
+      "name": "discovery",
+      "script_sha256": "cda0f3a63c5c92c0ff45f7f3a200567d7931fd421836e72ea3b8534f6ee24dcc",
+      "seconds": 59.33829278999929
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package/outer/check_ledger.py"
+      ],
+      "exit_code": 0,
+      "log_sha256": "5f160f2b35c61257aa5215401e98acff3caeea433117aa3c96f552abe19b9a40",
+      "name": "outer-check_ledger.py",
+      "script_sha256": "1dd56009986eb14dd6603c9193c7ad71dd45c7d005bf71c9cd3f916e66f54d98",
+      "seconds": 0.07150766999984626
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package/outer/independent_check.py"
+      ],
+      "exit_code": 0,
+      "log_sha256": "15a707f5b4193f3314b6cd6e2933ed24c26253e48ed371c5a3b12ade36ca85de",
+      "name": "outer-independent_check.py",
+      "script_sha256": "a5a0361539ec7cae9eb6c0371f857919335a1720040f22af291aa3e34fc864c7",
+      "seconds": 0.030807905000074243
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package/verify_release.py",
+        "--main",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier",
+        "--work",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/release",
+        "--native-cache",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache",
+        "--jobs",
+        "2"
+      ],
+      "exit_code": 0,
+      "log_sha256": "e980a17f9cd3ea9669474df93714a80a0d3a573426641efb379dba0d1915e6cc",
+      "name": "release",
+      "script_sha256": "6cfefe80c02a6c0f243f50ca9e146e1ab1440b84a033d8a71d42be5a5fa27f6b",
+      "seconds": 346.9733598109997
+    }
+  ],
+  "status": "PASS_REPLICA_ORDER_FILL_DERIVATIVE_COMPLETE_RELEASE"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/RUNTIME-PATCHES.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/RUNTIME-PATCHES.json
new file mode 100644
index 0000000000..cac62dec9b
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/RUNTIME-PATCHES.json
@@ -0,0 +1,225 @@
+[
+  {
+    "after_sha256": "52f8b4cec2dab69cbe590e1fd0f7a68e1b35de5a540bd22fd2adfce07a92b46b",
+    "before_sha256": "faf283eb4edd2e6a1ccb40b3cb3ba30ae54338eaf5ea0a10d84d11d7939502af",
+    "path": "new/rebind.py",
+    "replacements": [
+      [
+        "physical=spec['expected']['live'] + 8 + R + 2)",
+        "physical=spec['expected']['live'] + 8 + R + 2 + max(len(rd(d / 'CANONICAL-WORD.json.gz').get('zero_buffers', [])) for d in locs.values()))"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "99bef04f24a99088e5c0c9b8f6bbc8386669d8315b8f572d6bbfb932c5d51145",
+    "before_sha256": "7edb4732b34e5814b27650a55c938626cb50d68f06397744dd4fe451437e90e0",
+    "path": "geometry_controls.py",
+    "replacements": [
+      [
+        " i['complete_invocation_sweeps']=i['bridge_sweeps']=333",
+        " i['complete_invocation_sweeps']-=1;i['bridge_sweeps']-=1"
+      ],
+      [
+        " o,i=copy.deepcopy(owner),copy.deepcopy(invoice);fn(o,i);oh=digest(o);i['owner_audit_sha256']=oh",
+        " o,i=copy.deepcopy(owner),copy.deepcopy(invoice);fn(o,i);assert (o,i)!=(owner,invoice), 'geometry mutant must change actual receipts';oh=digest(o);i['owner_audit_sha256']=oh"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "6cfefe80c02a6c0f243f50ca9e146e1ab1440b84a033d8a71d42be5a5fa27f6b",
+    "before_sha256": "c43680a2da390f79925547a5ee1919d8a76637cccf98e2c8164b6f667fbc3183",
+    "path": "verify_release.py",
+    "replacements": [
+      [
+        "Fraction(1, 10 ** 3046) - Fraction(1, 10 ** 3022)",
+        "Fraction(1, 10 ** (spec['outer_refinement']['endpoint_digits'] + 46)) - Fraction(1, 10 ** (spec['outer_refinement']['endpoint_digits'] + 22))"
+      ],
+      [
+        "epsilon=1-(1025/1024)e-3080",
+        "epsilon=1-(1025/1024)e-{spec['outer_refinement']['endpoint_digits']+80}"
+      ],
+      [
+        "at the one 3000-digit rejection call",
+        "at the one {spec['outer_refinement']['endpoint_digits']}-digit rejection call"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "1dd56009986eb14dd6603c9193c7ad71dd45c7d005bf71c9cd3f916e66f54d98",
+    "before_sha256": "9e12909c73d3b3a31a45d801ae76c034510d6306400412e474df79bc4f1dc67e",
+    "path": "outer/check_ledger.py",
+    "replacements": [
+      [
+        "assert (m,W)==(73,66304)",
+        "T=spec['geometry']['replicas']\nassert type(T) is int and T>0\nassert m==73 and W==896*T and W==BJ['live']"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "ebaf637f1f818dac9c0fce0ee3f18df300873105818cea29a8ae9e8b737b5c7d",
+    "before_sha256": "08ca58abff11bdfba721dc56ab8acf06ec1b7c48a8699a0955cf35324680aca7",
+    "path": "code/witness.py",
+    "replacements": [
+      [
+        "   with open(os.environ['WITNESS_RECORD'],'a')as f:f.write(json.dumps([key,got],default=str)+chr(10))",
+        "   import time as _wr_time\n   _wr_path=Path(os.environ['WITNESS_RECORD'])\n   _wr_lock=_wr_path.with_name(_wr_path.name+'.append.lock')\n   _wr_deadline=_wr_time.monotonic()+60\n   _wr_fd=None\n   while _wr_fd is None:\n    try:_wr_fd=os.open(_wr_lock,os.O_CREAT|os.O_EXCL|os.O_WRONLY)\n    except FileExistsError:\n     if _wr_time.monotonic()>=_wr_deadline:raise TimeoutError('discovery record lock timeout; existing lock preserved')\n     _wr_time.sleep(.005)\n   try:\n    with _wr_path.open('a',encoding='utf-8',newline='\\n')as _wr_out:\n     _wr_out.write(json.dumps([key,got],default=str)+chr(10))\n     _wr_out.flush()\n   finally:\n    os.close(_wr_fd)\n    _wr_lock.unlink()"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "114a80b70c8c4819f10adf88aefc1571b18337e5da92bcff2ca3aa001650b83c",
+    "before_sha256": "1591a3eed02d3532e46183543bd2ddc7129c079a5fd70f1e6b4d9bc897153e92",
+    "path": "verify.py",
+    "replacements": [
+      [
+        "run('lift-parent',P/'lift_parent.py','--owners',work/'rebuilt-owners','--out',work/'rebuilt-parent')",
+        "run('lift-parent',P/'lift_parent.py','--package',P,'--owners',work/'rebuilt-owners','--out',work/'rebuilt-parent')"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "0d8cc021d2401d047aaec79060ec2ea28ba06f12eca8dbf4c60c78bb31975c4e",
+    "before_sha256": "ebaf637f1f818dac9c0fce0ee3f18df300873105818cea29a8ae9e8b737b5c7d",
+    "path": "code/witness.py",
+    "replacements": [
+      [
+        "PAYLOAD==1<<(192+(GEO['dimension']+1)//2+2*CALLS+4).bit_length()",
+        "PAYLOAD==1<<(128+(GEO['dimension']+1)//2+18+1330+1+4).bit_length()"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "c5106e0d7a97382677fa228fbade989262347968a0e54acfcf6712aa37e02f47",
+    "before_sha256": "bb213d0af12218ff7c9c572717e522d8bbeeb2856b87a253f4a7f44e0fd71f15",
+    "path": "code/invoice_allcold.py",
+    "replacements": [
+      [
+        "    required_prefix=localbits+input_l2_bits+call_count+bridge_sweeps+4",
+        "    from blocknorm_certificate import certify\n    blocknorm=certify(template, {pid:base/'providers'/pid for pid in template['local_providers']})\n    assert blocknorm['status'] == 'PASS_TENSOR_BLOCK_NORM_CERTIFICATE'\n    assert localbits <= 128, 'actual native scalar/Horner prefix exceeds charged local reserve'\n    required_prefix=localbits+input_l2_bits+blocknorm['max_active_depth']+blocknorm['stock_l2_bits']+1+4"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "0d522b09c7fe6a5e62fe80c28f3eefe733557a82d77c6212e5d4b91ffb7e3421",
+    "before_sha256": "02502a217fe8c9e10229075b50745518beac512c48db20e64c3e06514a4da5b5",
+    "path": "independent_core.py",
+    "replacements": [
+      [
+        "    payload = 1 << (192 + (M+1)//2 + 2*len(c['order']) + 4).bit_length()",
+        "    require(localbits <= 128, 'measured native prefix exceeds local reserve')\n    payload = 1 << (128 + (M+1)//2 + 18 + 1330 + 1 + 4).bit_length()"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "d598a2ac1e2e8eaee14a8c285e0277a7ae44ca6a15bd2b5cfc67fb40844fb387",
+    "before_sha256": "c5106e0d7a97382677fa228fbade989262347968a0e54acfcf6712aa37e02f47",
+    "path": "code/invoice_allcold.py",
+    "replacements": [
+      [
+        "        complete_invocation_sweeps=call_count,bridge_sweeps=bridge_sweeps,row_prefix_extra=2*payload,",
+        "        complete_invocation_sweeps=call_count,bridge_sweeps=bridge_sweeps,row_prefix_extra=2*payload,blocknorm=blocknorm,"
+      ],
+      [
+        "        primitive_arithmetic_margin_bits=4,controller_audit_sha256=",
+        "        tensor_block_norm=blocknorm,partial_cover_margin_bits=1,physical_stock_l2_bits=blocknorm['stock_l2_bits'],primitive_arithmetic_margin_bits=4,controller_audit_sha256="
+      ],
+      [
+        "Sum every actual invocation and bridge sweep and take the maximum local scalar/Horner prefix over both orientations of the fixed provider.",
+        "All invocations and bridge sweeps remain charged. Bound completed-boundary energy by at most eighteen active steps per owner replica, using exact tensor-isomorphic whole-family helper unitaries. Add the full group-indexed physical-stock sup-to-l2 factor and one partial-cover margin, then the maximum local scalar/Horner prefix."
+      ]
+    ]
+  },
+  {
+    "after_sha256": "e051aaa166e01263780d5ae03699690670b597fed6593af4c37a7e978825eb85",
+    "before_sha256": "0d522b09c7fe6a5e62fe80c28f3eefe733557a82d77c6212e5d4b91ffb7e3421",
+    "path": "independent_core.py",
+    "replacements": [
+      [
+        "    prefix = localbits + (M + 1) // 2 + len(c['order']) + c['bridges'] + 4",
+        "    bn=c['blocknorm']\n    require(bn['status']=='PASS_TENSOR_BLOCK_NORM_CERTIFICATE' and bn['max_active_depth']==18 and bn['stock_l2_bits']<=1330, 'independent tensor block certificate')\n    prefix = localbits + (M + 1) // 2 + bn['max_active_depth'] + bn['stock_l2_bits'] + 1 + 4"
+      ],
+      [
+        "prefix_formula=dict(local_scalar=localbits, input_l2=(M + 1) // 2, invocations=len(c['order']), bridges=c['bridges'], margin=4)",
+        "prefix_formula=dict(local_scalar=localbits, input_l2=(M + 1) // 2, invocations=len(c['order']), bridges=c['bridges'], active_block_depth=18,stock_l2=bn['stock_l2_bits'],partial_cover=1,margin=4),blocknorm=bn"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "393323f150d0bb686419804d51cf43d0f58450d2a1e7929725acdd26fdbb3640",
+    "before_sha256": "2286f00e462ff28abbb3f396095463482a1e063213b9526a7225275980c77eaf",
+    "path": "audit_mixed.py",
+    "replacements": [
+      [
+        "pending=A.check_pending_axes(ctx);receipt=A.check_roles(ctx,roles)",
+        "import blocknorm_certificate as BN;ctx['blocknorm']=BN.certify_context(ctx,roles,dirs,source_parent=parent);pending=A.check_pending_axes(ctx);receipt=A.check_roles(ctx,roles)"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "4e7b5ddd11b23c92ab26bc0c80884ed64a2d45e9247b5f52bc03f27fa83dbee0",
+    "before_sha256": "f25e1e870df5d5a16a1e367b3df8843cb01644ab4b75895d7939af81e4fcb833",
+    "path": "code/assemble.py",
+    "replacements": [
+      [
+        " assert invoice['global_prefix_bits']==max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())+37+CALLS+CALLS+4",
+        " bn=invoice['blocknorm']\n assert bn['status']=='PASS_TENSOR_BLOCK_NORM_CERTIFICATE' and bn['replicas']==REPLICAS\n assert bn['max_active_depth']==bn['boundary_depth_bits']==18 and bn['active_calls_per_block']==bn['bridges_per_block']==9\n assert bn['block_width_families']==896 and bn['physical_families']==invoice['physical'] and bn['live_families']==invoice['live']\n assert bn['partial_cover_bits']==1 and bn['input_l2_bits']==37 and bn['local_reserve_bits']==128 and bn['retained_payload_bits']==PAYLOAD\n localbits=max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())\n assert bn['local_actual_prefix_bits']==localbits and localbits<=128\n assert invoice['global_prefix_bits']==bn['actual_prefix_bits']==localbits+37+18+bn['stock_l2_bits']+1+4\n assert bn['required_reserve_bits']==128+37+18+bn['stock_l2_bits']+1+4<PAYLOAD\n expected_endpoint=dict(all_arbitrary_columns=632,helper_to_data_response_zero=True,centres_first_clear_and_terminal_zero=8,zero_buffers_allocated_and_cleared=72,coefficient_work_contract='unchanged audited clear-before-and-after Horner macro')\n assert bn['endpoint_replay']=={pid:{o:expected_endpoint for o in ('forward','backward')} for pid in invoice['providers']}"
+      ],
+      [
+        " stock=group*invoice['physical'];streamed_mass=group*owner['rank_mass']",
+        " stock=group*invoice['physical'];streamed_mass=group*owner['rank_mass']\n assert bn['physical_stock_bits']==stock.bit_length() and bn['stock_l2_bits']==(stock.bit_length()+1)//2<=1330"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "b7a6a7dbca02aec52d7807ed3104362b0fab1014d2f624b5fe638a3f30f65133",
+    "before_sha256": "d7675ff0b0994b29541d37eaa3010c5f39bb1447700c9f8e750522bf8c951f56",
+    "path": "code/assembly_controls.py",
+    "replacements": [
+      [
+        "        i['global_prefix_bits'] = 1 + 37 + CALLS + CALLS + 4",
+        "        i['global_prefix_bits'] = 1 + 37 + 18 + i['blocknorm']['stock_l2_bits'] + 1 + 4"
+      ],
+      [
+        "        ('wrong_global_prefix_sum', lambda o, i: i.__setitem__('global_prefix_bits', 224)),",
+        "        ('wrong_global_prefix_sum', lambda o, i: i.__setitem__('global_prefix_bits', 224)),\n        ('missing_blocknorm', lambda o,i:i.pop('blocknorm')),\n        ('understated_active_depth',lambda o,i:i['blocknorm'].__setitem__('max_active_depth',17)),\n        ('understated_full_stock_norm',lambda o,i:i['blocknorm'].__setitem__('stock_l2_bits',10)),\n        ('missing_partial_cover_margin',lambda o,i:i['blocknorm'].__setitem__('partial_cover_bits',0)),\n        ('forged_helper_response',lambda o,i:i['blocknorm']['endpoint_replay'][next(iter(i['providers']))]['forward'].__setitem__('helper_to_data_response_zero',False)),"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "9612cc95bfa2a36a9d9cbdcedc557f28f52e83f20f113ab21d0d54cf9c190be2",
+    "before_sha256": "1d965b7a329b98008fcc67e73d03dcf6e75f0f33c2858a39f1182bb3d0ed0ea1",
+    "path": "freeze_spec.py",
+    "replacements": [
+      [
+        "spec['expected']['assembly_controls_rejected'] = 32 + sum(",
+        "spec['expected']['assembly_controls_rejected'] = 37 + sum("
+      ]
+    ]
+  },
+  {
+    "after_sha256": "cda0f3a63c5c92c0ff45f7f3a200567d7931fd421836e72ea3b8534f6ee24dcc",
+    "before_sha256": "3ec4330ede0db3c6daa453b0366817be9435c85c8c3213a0c35c442c96c1a955",
+    "path": "replay.py",
+    "replacements": [
+      [
+        "len(rd(work/'ADMISSION-CONTROLS.json')['rejected_controls'])==114",
+        "len(rd(work/'ADMISSION-CONTROLS.json')['rejected_controls'])==119"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "55db009f9ecdff75876984f39de9b75055c6b6f7db06e51424c22085cde44993",
+    "before_sha256": "114a80b70c8c4819f10adf88aefc1571b18337e5da92bcff2ca3aa001650b83c",
+    "path": "verify.py",
+    "replacements": [
+      [
+        "['replay.py','freeze_spec.py','audit_mixed.py','independent_core.py','geometry_controls.py','audit_fast.py']",
+        "['replay.py','freeze_spec.py','audit_mixed.py','independent_core.py','geometry_controls.py','audit_fast.py','blocknorm_certificate.py']"
+      ],
+      [
+        "controls=dict(admission=114,bit=12,controller=15,independent_owner=8,geometry=6)",
+        "controls=dict(admission=119,bit=12,controller=15,independent_owner=8,geometry=6)"
+      ]
+    ]
+  }
+]
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/STAGES.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/STAGES.json
new file mode 100644
index 0000000000..d3f73520e6
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/STAGES.json
@@ -0,0 +1,113 @@
+[
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package/reconstruct.py",
+      "--out",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/owners"
+    ],
+    "exit_code": 0,
+    "log_sha256": "c428a9572a1f42f227c5d7f1bf9660bab5c2384466536043640504c46aadb6b6",
+    "name": "owners",
+    "script_sha256": "5472811c24aef3852dc7e189dff5060076a6c0b25bfde928da50dcfe9b5bdc15",
+    "seconds": 2.9420228680000946
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package/lift_parent.py",
+      "--package",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package",
+      "--owners",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/owners",
+      "--out",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/parent-data"
+    ],
+    "exit_code": 0,
+    "log_sha256": "ea74ad55229acb8d6979bf7307e2875049dbb18bc4a9309719cb7011cc36dcec",
+    "name": "parent-lift",
+    "script_sha256": "9a1edd7d4ab4a2f2ac8d15b42b7e40f93653d65026bac59e4c1ce80b486bd60e",
+    "seconds": 7.237580461000107
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package/new/rebind.py",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546/local",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/rebound"
+    ],
+    "exit_code": 0,
+    "log_sha256": "0b1693d2c13addcf8b2e3004887ca35bbf20cba5e4f3497f38643740fc6fe7a7",
+    "name": "rebind",
+    "script_sha256": "52f8b4cec2dab69cbe590e1fd0f7a68e1b35de5a540bd22fd2adfce07a92b46b",
+    "seconds": 0.5642027780004355
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/packing74/replay.py",
+      "--data",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/packing74/candidate",
+      "--work",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/discovery",
+      "--local",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local",
+      "--discover"
+    ],
+    "exit_code": 0,
+    "log_sha256": "2a3d3dd0eba4b8c4ebdcdec46ccf239db633ed0ef584066508d44ad5c855928f",
+    "name": "discovery",
+    "script_sha256": "cda0f3a63c5c92c0ff45f7f3a200567d7931fd421836e72ea3b8534f6ee24dcc",
+    "seconds": 59.33829278999929
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package/outer/check_ledger.py"
+    ],
+    "exit_code": 0,
+    "log_sha256": "5f160f2b35c61257aa5215401e98acff3caeea433117aa3c96f552abe19b9a40",
+    "name": "outer-check_ledger.py",
+    "script_sha256": "1dd56009986eb14dd6603c9193c7ad71dd45c7d005bf71c9cd3f916e66f54d98",
+    "seconds": 0.07150766999984626
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package/outer/independent_check.py"
+    ],
+    "exit_code": 0,
+    "log_sha256": "15a707f5b4193f3314b6cd6e2933ed24c26253e48ed371c5a3b12ade36ca85de",
+    "name": "outer-independent_check.py",
+    "script_sha256": "a5a0361539ec7cae9eb6c0371f857919335a1720040f22af291aa3e34fc864c7",
+    "seconds": 0.030807905000074243
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/package/verify_release.py",
+      "--main",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier",
+      "--work",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/release",
+      "--native-cache",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache",
+      "--jobs",
+      "2"
+    ],
+    "exit_code": 0,
+    "log_sha256": "e980a17f9cd3ea9669474df93714a80a0d3a573426641efb379dba0d1915e6cc",
+    "name": "release",
+    "script_sha256": "6cfefe80c02a6c0f243f50ca9e146e1ab1440b84a033d8a71d42be5a5fa27f6b",
+    "seconds": 346.9733598109997
+  }
+]
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/ASSEMBLY.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/ASSEMBLY.json
new file mode 100644
index 0000000000..2be7d9314a
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/ASSEMBLY.json
@@ -0,0 +1,516 @@
+{
+  "status": "PASS_GAUGE44_NATIVE_EXACT_GLOBAL_ASSEMBLY",
+  "kappa": "1717142976839401/1000000000000000000",
+  "kappa_decimal": "0.001717142976839401",
+  "complex_lower": "430024157171208150243/250000000000000000000000",
+  "complex_decimal": "0.001720096628684832600972",
+  "bit_lower": "1733427039589844234749/1000000000000000000000000",
+  "bit_decimal": "0.001733427039589844234749",
+  "binding": "complex",
+  "gain_over_pr635_percent": "2.43452998336297871400123200330871578255878721093671724746974569599949156751075831111856639725544620598532019606495879292123426198379690583226806941624029321230323119173995595555119443028187341562978585939705923101632799886755998666803474009731942673557156080909548928396261674438076943994559371985673998797755880578704310707550704431826738624611642172342902878164486734053966046761143841718942197434170748337099136684213209909870524380242776621758084051903718276895538787000828129195625224471305226354551971588043586225212972051040702348031888213597426149889606897455285564154365303572503031945104338326639500614985202834777545303707519795289954081248841573081846594343007826349652229908226670563902913632789455452326285920940462141907829241982280906443864793588619100547595821636754942598981285647606890880537804114937744808533872820072440654803164264882717555324951667097216822191024516100694648391490588221185953985410515808469356616656181947446442256390285601508225702079837416127507060848021285616131040604640171950973635390821812053958850031308797600590933244046942680086478813933543078023485590378354208693861386108860072117236785661980742582924097020747804301459372122969723504704294808668237610329184750528990327826788941161823773468267084907479328290214534879885049586866129136531250544934380455266692106315708475836050539122124276732352263926526399964416398226936422648688624952283161006899967236703785931381417963971659184964771237659101088318500113162290143703435934352937306367998512257636792309622965403590957501740621765103497521621972836726670878277210795495029704187282062273692294765713134859328180354816382785081578161475230402018442305574899258429762589885707979725344597452641808607426721594620941881577781811684774436797378034268261307168416863430983473303963922881315418103704346271423248504123339146494678402879497898681998772711356303932755786020188466508099913297491201866205082678911952555846714058391678645180488731480969710900597321028351016813730990810061916983898075664409967403571597589938360259074279755245503611597334694353975415593339610916647859761581938994554410380885423093045062033091940462537138377701338496571134738607585191439198685675331333642607694904963476801531404127920143256675433650433872112428804668603655337263950286155721570454013235187911386834297338433117404610415391660058758234103942756790529705117000939668235723623161247440245633715985048288821042453436817319870178915671390601243011835351429859568669834575961452715677239003122482526859084815223834942762137062674677516789450144016248091069604941795921742127314476361755356750543469532899118024429259565318664065854272269940271286267147748745153855048271417090525582135917004786619584774339784255370768288847923033020608783381147460087655320480921113420135731550877297200683660490703485921984680988407527101422977195626770976029116486689458728025947323209152268714352691634381741760057254565442969005124466871326953308484364469581322666501871642274954269673341785655677405873029823591065360635854341632154507487598713935545835562052488098085391018924480891141005596923283327102369984306916818790396196257168806",
+  "complex_profile": {
+    "1": 805860,
+    "2": 213786,
+    "3": 91775,
+    "4": 42624,
+    "5": 13098,
+    "8": 2664,
+    "9": 1,
+    "48": 13379
+  },
+  "provider_counts": {
+    "extra": 208,
+    "gauge44": 125
+  },
+  "surcharge_model": {
+    "complex": false,
+    "bit": true
+  },
+  "conservative_complex_lower": "430024156435308457423/250000000000000000000000",
+  "conservative_complex_decimal": "0.001720096625741233829692",
+  "conservative_kappa": "1717142973905903/1000000000000000000",
+  "conservative_kappa_decimal": "0.001717142973905903",
+  "conservative_moments": [
+    {
+      "side": "conservative_complex",
+      "surcharge": true,
+      "endpoint": "430024156435308457423/250000000000000000000000",
+      "accept": true,
+      "mercator": [
+        "-5769718263920293805819185512194446088666589/6739986666787659948666753771754907668409286105635143120275902562304",
+        "-11539436527840587611638371024388892177333177/13479973333575319897333507543509815336818572211270286240551805124608"
+      ],
+      "base_two": [
+        "-1712086885410203032161/2000000000000000000000000000000000000000000000",
+        "-428021221352550758033/500000000000000000000000000000000000000000000"
+      ]
+    },
+    {
+      "side": "conservative_complex",
+      "surcharge": true,
+      "endpoint": "1720096625741233829693/1000000000000000000000000",
+      "accept": false,
+      "mercator": [
+        "53845152795020092573864110410408572054225279/26959946667150639794667015087019630673637144422540572481103610249216",
+        "53845152795020092573864110410408572054225281/26959946667150639794667015087019630673637144422540572481103610249216"
+      ],
+      "base_two": [
+        "19972275573309335555929/10000000000000000000000000000000000000000000000",
+        "798891422932373422243/400000000000000000000000000000000000000000000"
+      ]
+    }
+  ],
+  "conservative_bootstrap": [
+    {
+      "step": 0,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "9261552acb3c1ebc2615ceac44f6d53042aeb52d3b70c3787b8f30ec2f73587f",
+      "gap_numerator_sha256": "e61ca922c5ab20f14c6c7a702be22c15cc72dffb30083eaa4bb62b1fe1cb64a9",
+      "log2C_bound_sha256": "1a1cf797fabe7f95836fabeca626907c77b3e6c9aff7c2290b396a238c69362e",
+      "cutoff_log2_power_of_two_exponent": 45,
+      "carry_bits_bit_length": 36
+    },
+    {
+      "step": 1,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "61608daa9ddd429cc674d93ebf6e9f91ef8f1ca960fd9aadf4c7d3649348948c",
+      "gap_numerator_sha256": "c0f8148b1dca7bf195aa4eb8f9c9efbcffe2e791b6184846c910e6f8df91801a",
+      "log2C_bound_sha256": "4b4ab69e55a7c15ed318d51b63b23ebee61cb952e7289bc86230bea67e431355",
+      "cutoff_log2_power_of_two_exponent": 66,
+      "carry_bits_bit_length": 48
+    },
+    {
+      "step": 2,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "e1c6990af91383661d6e094dcb724e240fb1fe95251492f66400310e5d2091c7",
+      "gap_numerator_sha256": "23bbd2a8730d712996c6ad57f26c1107499a5f97df2f8cb0520fc6b78f197288",
+      "log2C_bound_sha256": "a1d761f89ebf69ae9c40ac0d6d12876e8924ad2a790bf8625f971f315914e6e3",
+      "cutoff_log2_power_of_two_exponent": 87,
+      "carry_bits_bit_length": 60
+    },
+    {
+      "step": 3,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "c3cb5e2cc24b550e0df922d92ea99787096a67a29222d3130e80783f20cd92ed",
+      "gap_numerator_sha256": "e59d93192eaf3657422b820adfb91f0a5843fc3cc72aa52e3afc2e7cd91c2333",
+      "log2C_bound_sha256": "e6d93cff8ecf5890fac60a18c1a720e7e9134c86851c06b051a541c918fb5cc8",
+      "cutoff_log2_power_of_two_exponent": 108,
+      "carry_bits_bit_length": 72
+    },
+    {
+      "step": 4,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "459e84282c3a0b6e69a6b79de6afa8eb419f19a4e5819e58c58459fd9ab0f54f",
+      "gap_numerator_sha256": "049919cf612a089b4f74d43f993ff7ad483ecfe93e95bf9b327476aa88ea6f71",
+      "log2C_bound_sha256": "88da83d96bf0e01aecae5d06e359b29a5388e942f4ce48aa65e54b72ab1c285c",
+      "cutoff_log2_power_of_two_exponent": 130,
+      "carry_bits_bit_length": 85
+    },
+    {
+      "step": 5,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "6695c2768d61c324d57fed6423a8d1bb540413c46cf7e8761c776da640ea42c6",
+      "gap_numerator_sha256": "d5e4439886c59d474081970767c1ed8ee6e58c0f12658053beb0ebad0712ebad",
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+        4,
+        5,
+        6,
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+      ],
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+  },
+  "conservative_controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "model_controls": [
+    "native_complex_endpoint_rejected_with_old_surcharge",
+    "omitting_bit_surcharge_would_fail_next_endpoint_rejection"
+  ],
+  "native_correction_gain": "2.933498E-12",
+  "template_sha256": "dfdc4fcd8c13b8413a9eb988df138d48c82902f5f353b1ecace701b668b1b77c",
+  "input_sha256": {
+    "owner_audit": "32e9afb0c2fc0e03cbf583a7db1d570e3d64565b183db65ff389c8c2c96a9a4a",
+    "fresh_invoice": "1902e674f2dc2d80f7d525f347b3ec0bbaccea70c28de27ac5dafcd275b4fd78",
+    "package:inputs/PR589-EXPECTED.json": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4",
+    "engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482",
+    "engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098",
+    "engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c"
+  },
+  "bit_supplier": {
+    "pr": 589,
+    "repository": "CrocSwap/integer-mult-bounds",
+    "commit": "a5afc8c6169ea61ba7c51dfd3cade02cc7b13b46",
+    "merged_as": "b3eb785ac5b4b1ca2beea0f80db078a505626a90",
+    "path": "research/e8-bit-p111-tuned/tune/EXPECTED.json",
+    "git_blob_sha1": "e293ddc557742637f9f679f083a1a282d87b1b13",
+    "word": {
+      "v": 111,
+      "decoder_constant": 63,
+      "copy_ranks": [
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+        7,
+        7,
+        7
+      ]
+    },
+    "derived_deficit": 10272,
+    "deficit_formula": "T(2Kv-L*cst), L=9 T=32 K=4 M=64",
+    "replay_scope": "Cited unchanged supplier; this assembly reprices its full profile and does not rebuild its bit circuit."
+  },
+  "moments": [
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+      ],
+      "base_two": [
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+        "-3197378653350863173989/2000000000000000000000000000000000000000000000"
+      ]
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+      ]
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+        "-157061/62500000000000000000000000000"
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+    },
+    {
+      "step": 7,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "9ca5652738ad26c4322f0de608dfe801387ba750861ee11d20b0abe928ecf2c8",
+      "gap_numerator_sha256": "a0760082df2ec49226b0457fad8ceac7e25545f6be07750d84b68cf5d272d506",
+      "log2C_bound_sha256": "eb8d6d67e13ff59a9f9155be3f0dd54b14f67384e524c1b026ff935c695c0a52",
+      "cutoff_log2_power_of_two_exponent": 194,
+      "carry_bits_bit_length": 121
+    },
+    {
+      "step": 8,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "58e0ca17267e6537cad827358804a73f0d914e725017967bf592e305f0bcbcd6",
+      "gap_numerator_sha256": "3c80aaa1ff946d31364d9cd042f40122678da3566908452ad5256a0213c6887c",
+      "log2C_bound_sha256": "7d84813a7fe07c97d83a70409757800fc40d4d4bcd4e64ca7d82e1c563264078",
+      "cutoff_log2_power_of_two_exponent": 215,
+      "carry_bits_bit_length": 133
+    },
+    {
+      "step": 9,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "de65cc0561431a831e1fe3f8e55e7dcc9c7868b545d3918c64a59210e1a3ddd2",
+      "gap_numerator_sha256": "3d2d898382c6b4cef9a628a07ec703cb618199bd8b1a94e419319efea5814a25",
+      "log2C_bound_sha256": "c15e2c62ff4e3dff10e4c531239c08c84a22803ad3c72dedb71c68e40b6843b4",
+      "cutoff_log2_power_of_two_exponent": 237,
+      "carry_bits_bit_length": 146
+    },
+    {
+      "step": 10,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "77e91ba8550c3022d6c3dff3061780d7514570bab9c0d810fd86f2ce67a110a7",
+      "gap_numerator_sha256": "bc5e8d76e12fe9de9ddeddfa30bb77a59d55e725568a63fef7b6925e03f6d1b1",
+      "log2C_bound_sha256": "316b1114386350a4e6820b60adf751df0b73a67f2bdbeb2bb36d4640df607a5d",
+      "cutoff_log2_power_of_two_exponent": 259,
+      "carry_bits_bit_length": 158
+    },
+    {
+      "step": 11,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "0eb3f36a90e74d3908ba17860a331bb1e0e41e5896e32e4521034f683b88a3eb",
+      "gap_numerator_sha256": "855312af72bdedd92cf332eb5ab275540a41ce7c90717d2bc1a640011d53ecb6",
+      "log2C_bound_sha256": "cc5617d1340e76012b7e40f7f4593bfb031db2c170f3128fa2d999ccb16395cb",
+      "cutoff_log2_power_of_two_exponent": 280,
+      "carry_bits_bit_length": 170
+    },
+    {
+      "control": "uncarried_cutoffs_fail_carry_rule",
+      "stages_checked": [
+        2,
+        3,
+        4,
+        5,
+        6,
+        7
+      ],
+      "all_rejected": true
+    }
+  ],
+  "outer": {
+    "bit_positive": "40222784627043983958650831917426123782788511221/23384026197294446691258957323460528314494920687616",
+    "complex_above_bit": "379127708857711940901787918915207147/1393796574908163946345982392040522594123776000000000000000000000000",
+    "complex_below_one_over32": "7382475842828791849757/250000000000000000000000",
+    "beta_positive": "1/10000000000000000000000000000",
+    "beta_below_one": "9999999999999999999999999999/10000000000000000000000000000",
+    "leaf_saving_above_bit": "5192355435360669574203934549699274970390852575066513563/51922968585348276285304963292200960000000000000000000000000000000000000000000000000000",
+    "q_positive": "201113923135219919793254159546907834286898572146349168082573876217211488779/116920130986472233456294786617302641572474603438080000000000000000000000000000",
+    "q_below_internal": "40222784627043983958650831917426123782788511221/116920130986472233456294786617302641572474603438080000000000000000000000000000",
+    "q_below_leaf": "3094370939074559478209499684851603991369160554489835181777747989/6968982874540819731729911960202612970618880000000000000000000000000000000000000000000000000000",
+    "c_positive": "201113923135219919793254162469911108948704408553718833515139915529076574731/116920130986472233456294786617302641572474603438080000000000000000000000000000",
+    "c_below_one": "116719017063337013536501532454832730463525899029526281166484860084470923425269/116920130986472233456294786617302641572474603438080000000000000000000000000000",
+    "q_below_reservations": "1/40000000000000000000000000000",
+    "lambda_above_tau": "40222784627043983958650831917426123782788511221/233840261972944466912589573234605283144949206876160000000000000000000000000000",
+    "lambda_above_sigma": "103829859257953448941536138935735283682416031221/233840261972944466912589573234605283144949206876160000000000000000000000000000",
+    "lambda_above_internal": "40222784627043983958650831917426123782788511221/233840261972944466912589573234605283144949206876160000000000000000000000000000",
+    "lambda_prime_above_lambda": "40222784627043983958650831917426123782788511221/233840261972944466912589573234605283144949206876160000000000000000000000000000",
+    "compact_leaf": "3094370939074559478209499684851603991369160554489835181777747989/6968982874540819731729911960202612970618880000000000000000000000000000000000000000000000000000",
+    "compact_reservations": "1/40000000000000000000000000000",
+    "lambda_prime_below_one": "201113923135219919793254159546907834286898572146349168082573876217211488779/116920130986472233456294786617302641572474603438080000000000000000000000000000",
+    "epsilon_positive": "116920130986472233456294786605610628473827380092450521338269735842752539656192/117121244909607453376088040776849549406761502010226349168082573876217211488779",
+    "epsilon_below_one": "201113923135219919793254171238920932934121917775827829812838033464671832587/117121244909607453376088040776849549406761502010226349168082573876217211488779",
+    "guard_width": "201113923135219919793254171238920932934121917775827829812838033464671832587/117121244909607453376088040776849549406761502010226349168082573876217211488779",
+    "K_geometry": "87891212162989395012014344125446892288304656987113718833515139915529076574731/1171212449096074533760880407768495494067615020102263491680825738762172114887790000000000000000000000000000",
+    "K_dominates_log": "2011139231352199197932541624497997166351824165743934172681488046342061338756281166484860084470923425269/1171212449096074533760880407768495494067615020102263491680825738762172114887790000000000000000000000000000",
+    "record_suffix": "201113923135219919793254171238920932934121917775827829812838033464671832587/117121244909607453376088040776849549406761502010226349168082573876217211488779",
+    "phase_local": "16089113850817593583460333581992429725122300045978185608177493270412244596733650831917426123782788511221/9369699592768596270087043262147963952540920160818107933446605910097376919102320000000000000000000000000000",
+    "phase_boundary": "3217822770163518716692066622701490017338497308325204500155859128673247311165650831917426123782788511221/1873939918553719254017408652429592790508184032163621586689321182019475383820464000000000000000000000000000",
+    "gamma_sublinear": "1/20000000000000000000000000000",
+    "cell_above_band": "2338402619729444669125895731995091324566940148472922385988545167448289291113613650831917426123782788511221/4684849796384298135043521631073981976270460080409053966723302955048688459551160000000000000000000000000000",
+    "prime_interval_packing": "201113923135219919793254171238920932934121917775827829812838033464671832587/117121244909607453376088040776849549406761502010226349168082573876217211488779",
+    "alpha_positive": "4022278462704398395865083307657173749074984979428515819407211262531934641513650831917426123782788511221/2342424898192149067521760815536990988135230040204526983361651477524344229775580000000000000000000000000000",
+    "alpha_below_one": "2338402619729444669125895732229333814386155055225098467542244266261812295134066349168082573876217211488779/2342424898192149067521760815536990988135230040204526983361651477524344229775580000000000000000000000000000",
+    "alpha_below_one_fourth": "581583946085332868484575120576590573284732525071703230021005658118554122802381349168082573876217211488779/2342424898192149067521760815536990988135230040204526983361651477524344229775580000000000000000000000000000",
+    "delta_positive": "1/80000000000000000000000000000",
+    "delta_below_one_eighth": "9999999999999999999999999999/80000000000000000000000000000",
+    "short_record_fallback": "2729352463369514493329374212195241117627101274225550686152127796738018094940737180167981126902966911436949615502726442515029113/2738766259225999549772662751761936969203660592387979141751402184127619159940593968232886663988011548506410363567606597748260864",
+    "small_field_exposure": "1/10000000000000000000000000000",
+    "artificial_boundary": "65603986263230991484192763169086225077149993239277085882841817061579096686353879047504247721628651634466337/9369699592768596270087043262147963952540920160818107933446605910097376919102320000000000000000000000000000",
+    "literal_scalar_guard": "1",
+    "row_product_gap": "23971789/25",
+    "balanced_prefix_above_kappa": "36212887699690010468245408149070172762619855590627086673834466033792803418621/117121244909607453376088040776849549406761502010226349168082573876217211488779000000000000000000",
+    "coordinate_movement_above_kappa": "263474548840559558540027257052068855416672694655397394861/89202980794122492566142873090593446023921664000000000000000000",
+    "compact_phase_layer_above_kappa": "362128876879778859772846628114613686849349006499509364728118311169845460309992788511221/1171212449096074533760880407768495494067615020102263491680825738762172114887790000000000000000000000000000",
+    "bulk_exposure_above_kappa": "263474548840559558540027257052068855416672694655397394861/89202980794122492566142873090593446023921664000000000000000000",
+    "Gaussian_arithmetic_above_kappa": "579406203077918922582319077009034723425068140043271884771125107372602280821718788511221/1873939918553719254017408652429592790508184032163621586689321182019475383820464000000000000000000000000000",
+    "scalar_work_above_kappa": "2897031015858079592550025198549525780232738897843405431896530933535341699613462788511221/9369699592768596270087043262147963952540920160818107933446605910097376919102320000000000000000000000000000",
+    "dimension_above_kappa": "116719017063337013572714420134061718009138666323744866271076753399914954497439466033792803418621/117121244909607453376088040776849549406761502010226349168082573876217211488779000000000000000000"
+  },
+  "controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "scope": "Conditional R480 seven-slot k8 construction with a source-bound replica count. The owner map attains the fixed-inventory bin bound. The full conservative invoice, native moment correction, PR589 bit surcharge and 47 outer inequalities are checked. Local admission and all-size/compiler, mutable-source, whole-call hosting, precision/tape, exact-recovery, analytic-transfer and bit H1-H5 assumptions remain."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/INDEPENDENT.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/INDEPENDENT.json
new file mode 100644
index 0000000000..b1eb85126a
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/INDEPENDENT.json
@@ -0,0 +1,211 @@
+{
+  "status": "PASS_INDEPENDENT_VARIABLE_T_LITERAL_WINDOWS_CHARTS_PREFIX_ROW",
+  "roles": 135864,
+  "calls": 333,
+  "source_events_per_replica": 30,
+  "expanded_replica_events": 1110,
+  "bridge_events": 333,
+  "literal_windows": 666,
+  "checked_whole_helper_widths": 135864,
+  "checked_busy_family_windows": 135864,
+  "orthogonal_port_bases": 112,
+  "actual_73_axis_charts": 6457,
+  "checked_slice_prefixes": 74592,
+  "local_profiles": {
+    "gauge44": {
+      "1": 2394,
+      "2": 642,
+      "4": 128,
+      "8": 8,
+      "3": 266,
+      "5": 26
+    },
+    "extra": {
+      "1": 2394,
+      "2": 642,
+      "4": 128,
+      "8": 8,
+      "3": 266,
+      "5": 26
+    }
+  },
+  "width_inventories": {
+    "gauge44": {
+      "9": 234,
+      "4": 26,
+      "8": 84,
+      "7": 62,
+      "5": 2
+    },
+    "extra": {
+      "9": 234,
+      "4": 26,
+      "8": 84,
+      "7": 62,
+      "5": 2
+    }
+  },
+  "idle": {
+    "1": 8658,
+    "3": 3197,
+    "5": 4440,
+    "9": 1,
+    "48": 13379
+  },
+  "profile": {
+    "1": 805860,
+    "2": 213786,
+    "3": 91775,
+    "4": 42624,
+    "5": 13098,
+    "8": 2664,
+    "9": 1,
+    "48": 13379
+  },
+  "live": 33152,
+  "physical": 33642,
+  "rank_mass": 2408256,
+  "deficit": 11840,
+  "namespace": {
+    "data": [
+      0,
+      33152
+    ],
+    "centres": [
+      33152,
+      33160
+    ],
+    "tableau": [
+      33160,
+      33568
+    ],
+    "zero_buffers": [
+      33568,
+      33640
+    ],
+    "coefficient": [
+      33640,
+      33642
+    ]
+  },
+  "local_prefix_bits": 70,
+  "local_prefix_from_native_receipt": true,
+  "local_profile_recounted": true,
+  "prefix_formula": {
+    "local_scalar": 70,
+    "input_l2": 37,
+    "invocations": 333,
+    "bridges": 333,
+    "active_block_depth": 18,
+    "stock_l2": 1322,
+    "partial_cover": 1,
+    "margin": 4
+  },
+  "blocknorm": {
+    "status": "PASS_TENSOR_BLOCK_NORM_CERTIFICATE",
+    "replicas": 37,
+    "physical_families": 33642,
+    "live_families": 33152,
+    "max_active_depth": 18,
+    "boundary_depth_bits": 18,
+    "stock_l2_bits": 1322,
+    "stocknorm_bits": 1322,
+    "physical_stock_bits": 2643,
+    "partial_cover_bits": 1,
+    "local_actual_prefix_bits": 70,
+    "local_reserve_bits": 128,
+    "input_l2_bits": 37,
+    "actual_prefix_bits": 1452,
+    "required_reserve_bits": 1510,
+    "retained_payload_bits": 2048,
+    "foreign_helper_roles_checked": 125185,
+    "endpoint_replay": {
+      "gauge44": {
+        "forward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        },
+        "backward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        }
+      },
+      "extra": {
+        "forward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        },
+        "backward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        }
+      }
+    },
+    "scope": "Pre-emission finite premises only. Caller must retain exact source projection, actual phase/primitive audits, check_roles windows/charts and complete release."
+  },
+  "prefix_bits": 1452,
+  "charged_prefix_bits": 2048,
+  "physical_stock_bits": 2643,
+  "physical_row_coefficient": 19543,
+  "row_limit": 20161,
+  "scope": "Finite role/window/chart and inherited prefix/row obligations. Requires separately admitted local supplier and emitted controller, complete finite invoice, exact moments and outer assembly; no all-size theorem is asserted.",
+  "controls_rejected": [
+    {
+      "name": "private_namespace_collision",
+      "reason": "private-namespace collision"
+    },
+    {
+      "name": "copy_replica_alias",
+      "reason": "role invocation time"
+    },
+    {
+      "name": "missing_whole_helper",
+      "reason": "complete helper role count"
+    },
+    {
+      "name": "split_whole_helper",
+      "reason": "complete helper role count"
+    },
+    {
+      "name": "truncated_helper_width",
+      "reason": "whole-helper residual width"
+    },
+    {
+      "name": "cross_idle_boundary",
+      "reason": "strict bridge-aware idle window"
+    },
+    {
+      "name": "cross_child_pending_axis_alias",
+      "reason": "overlapping pending children on one family"
+    },
+    {
+      "name": "wrong_provider_at_changed_call",
+      "reason": "whole-helper residual width"
+    }
+  ],
+  "disjoint_pending_child_axis_checks": 2016,
+  "provider_counts": {
+    "extra": 208,
+    "gauge44": 125
+  },
+  "input_sha256": {
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/packing74/candidate/PLAN.json": "7cce2b30d090164bae6f4c50cc7de10ff2766668b131eb751403c257799c34fc",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/packing74/candidate/DISPATCH.json": "5513481a70c83767b5836b15fb7ff204d2a8f8fca83c6bcaee90a20b3d1ec6c4",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/packing74/candidate/OWNERS.json.gz": "8b3461dfb0491b849ba6205c1328ebdf329b29fdf13f83fd817893e556f5568f",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/demotions1148-round43/baseline-replay/parent/t16/global8/base/split-centres/GLOBAL-TEMPLATE.json.gz": "ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local/CANONICAL-WORD.json.gz": "3c6499ee5d98c3c7ba3aecc321f94cdda1d06a3e2e169c7fc3e3644958ab53dd",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/packing74/native-extra/local/CANONICAL-WORD.json.gz": "20b343ff9f7e98111ab1318bb460d2988901500b48dbec211790efcd4ce7354d"
+  }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/RESULT.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/RESULT.json
new file mode 100644
index 0000000000..c7fc2383f6
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/RESULT.json
@@ -0,0 +1,261 @@
+{
+  "status": "DISCOVERY",
+  "kappa": "1717142976839401/1000000000000000000",
+  "kappa_decimal": "0.001717142976839401",
+  "steps": [
+    {
+      "name": "bind",
+      "seconds": 0.8741893540000092,
+      "exit_code": 0,
+      "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+    },
+    {
+      "name": "emit",
+      "seconds": 13.803387392999866,
+      "exit_code": 0,
+      "log_sha256": "0ff807a863044d012e87b15cea9f924bcfd6f37e81346c3fe9d835b51f72efa9"
+    },
+    {
+      "name": "audit",
+      "seconds": 35.839059726000414,
+      "exit_code": 0,
+      "log_sha256": "91134fa12a80c25733217ec17aa04fef1f59914719ad3209319b05da14d7f8d8"
+    },
+    {
+      "name": "invoice",
+      "seconds": 3.101735379999809,
+      "exit_code": 0,
+      "log_sha256": "a264c44dc692e071d8064806dbfd6eb2fc136428b79b1bec70430b8477c59aa5"
+    },
+    {
+      "name": "assembly",
+      "seconds": 0.5690444369993202,
+      "exit_code": 0,
+      "log_sha256": "5896c397dae627a2e9e994b5abccb30b30b34b343a9a84ae07e0b4435751075e"
+    },
+    {
+      "name": "freeze",
+      "seconds": 0.043255292999674566,
+      "exit_code": 0,
+      "log_sha256": "0bf474825f4fb17864445c924dc78d6ad6458d2245f6aa299899a2f2319b48c4"
+    },
+    {
+      "name": "independent",
+      "seconds": 5.043838341000082,
+      "exit_code": 0,
+      "log_sha256": "d2c176fb1b9778e4fb8b98b6272d5f713d676ea3fed84da20213eca036bb58fe"
+    }
+  ],
+  "independent": {
+    "status": "PASS_INDEPENDENT_VARIABLE_T_LITERAL_WINDOWS_CHARTS_PREFIX_ROW",
+    "roles": 135864,
+    "calls": 333,
+    "source_events_per_replica": 30,
+    "expanded_replica_events": 1110,
+    "bridge_events": 333,
+    "literal_windows": 666,
+    "checked_whole_helper_widths": 135864,
+    "checked_busy_family_windows": 135864,
+    "orthogonal_port_bases": 112,
+    "actual_73_axis_charts": 6457,
+    "checked_slice_prefixes": 74592,
+    "local_profiles": {
+      "gauge44": {
+        "1": 2394,
+        "2": 642,
+        "4": 128,
+        "8": 8,
+        "3": 266,
+        "5": 26
+      },
+      "extra": {
+        "1": 2394,
+        "2": 642,
+        "4": 128,
+        "8": 8,
+        "3": 266,
+        "5": 26
+      }
+    },
+    "width_inventories": {
+      "gauge44": {
+        "9": 234,
+        "4": 26,
+        "8": 84,
+        "7": 62,
+        "5": 2
+      },
+      "extra": {
+        "9": 234,
+        "4": 26,
+        "8": 84,
+        "7": 62,
+        "5": 2
+      }
+    },
+    "idle": {
+      "1": 8658,
+      "3": 3197,
+      "5": 4440,
+      "9": 1,
+      "48": 13379
+    },
+    "profile": {
+      "1": 805860,
+      "2": 213786,
+      "3": 91775,
+      "4": 42624,
+      "5": 13098,
+      "8": 2664,
+      "9": 1,
+      "48": 13379
+    },
+    "live": 33152,
+    "physical": 33642,
+    "rank_mass": 2408256,
+    "deficit": 11840,
+    "namespace": {
+      "data": [
+        0,
+        33152
+      ],
+      "centres": [
+        33152,
+        33160
+      ],
+      "tableau": [
+        33160,
+        33568
+      ],
+      "zero_buffers": [
+        33568,
+        33640
+      ],
+      "coefficient": [
+        33640,
+        33642
+      ]
+    },
+    "local_prefix_bits": 70,
+    "local_prefix_from_native_receipt": true,
+    "local_profile_recounted": true,
+    "prefix_formula": {
+      "local_scalar": 70,
+      "input_l2": 37,
+      "invocations": 333,
+      "bridges": 333,
+      "active_block_depth": 18,
+      "stock_l2": 1322,
+      "partial_cover": 1,
+      "margin": 4
+    },
+    "blocknorm": {
+      "status": "PASS_TENSOR_BLOCK_NORM_CERTIFICATE",
+      "replicas": 37,
+      "physical_families": 33642,
+      "live_families": 33152,
+      "max_active_depth": 18,
+      "boundary_depth_bits": 18,
+      "stock_l2_bits": 1322,
+      "stocknorm_bits": 1322,
+      "physical_stock_bits": 2643,
+      "partial_cover_bits": 1,
+      "local_actual_prefix_bits": 70,
+      "local_reserve_bits": 128,
+      "input_l2_bits": 37,
+      "actual_prefix_bits": 1452,
+      "required_reserve_bits": 1510,
+      "retained_payload_bits": 2048,
+      "foreign_helper_roles_checked": 125185,
+      "endpoint_replay": {
+        "gauge44": {
+          "forward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          },
+          "backward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          }
+        },
+        "extra": {
+          "forward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          },
+          "backward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          }
+        }
+      },
+      "scope": "Pre-emission finite premises only. Caller must retain exact source projection, actual phase/primitive audits, check_roles windows/charts and complete release."
+    },
+    "prefix_bits": 1452,
+    "charged_prefix_bits": 2048,
+    "physical_stock_bits": 2643,
+    "physical_row_coefficient": 19543,
+    "row_limit": 20161,
+    "scope": "Finite role/window/chart and inherited prefix/row obligations. Requires separately admitted local supplier and emitted controller, complete finite invoice, exact moments and outer assembly; no all-size theorem is asserted.",
+    "controls_rejected": [
+      {
+        "name": "private_namespace_collision",
+        "reason": "private-namespace collision"
+      },
+      {
+        "name": "copy_replica_alias",
+        "reason": "role invocation time"
+      },
+      {
+        "name": "missing_whole_helper",
+        "reason": "complete helper role count"
+      },
+      {
+        "name": "split_whole_helper",
+        "reason": "complete helper role count"
+      },
+      {
+        "name": "truncated_helper_width",
+        "reason": "whole-helper residual width"
+      },
+      {
+        "name": "cross_idle_boundary",
+        "reason": "strict bridge-aware idle window"
+      },
+      {
+        "name": "cross_child_pending_axis_alias",
+        "reason": "overlapping pending children on one family"
+      },
+      {
+        "name": "wrong_provider_at_changed_call",
+        "reason": "whole-helper residual width"
+      }
+    ],
+    "disjoint_pending_child_axis_checks": 2016,
+    "provider_counts": {
+      "extra": 208,
+      "gauge44": 125
+    },
+    "input_sha256": {
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/packing74/candidate/PLAN.json": "7cce2b30d090164bae6f4c50cc7de10ff2766668b131eb751403c257799c34fc",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/packing74/candidate/DISPATCH.json": "5513481a70c83767b5836b15fb7ff204d2a8f8fca83c6bcaee90a20b3d1ec6c4",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/packing74/candidate/OWNERS.json.gz": "8b3461dfb0491b849ba6205c1328ebdf329b29fdf13f83fd817893e556f5568f",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/demotions1148-round43/baseline-replay/parent/t16/global8/base/split-centres/GLOBAL-TEMPLATE.json.gz": "ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local/CANONICAL-WORD.json.gz": "3c6499ee5d98c3c7ba3aecc321f94cdda1d06a3e2e169c7fc3e3644958ab53dd",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/layout/packing74/native-extra/local/CANONICAL-WORD.json.gz": "20b343ff9f7e98111ab1318bb460d2988901500b48dbec211790efcd4ce7354d"
+    }
+  },
+  "scope": "Conditional finite construction only; unchanged exact-head PR1297 native providers explicitly reused; all inherited theorem obligations retained."
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/STAGES.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/STAGES.json
new file mode 100644
index 0000000000..f6326231f8
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/STAGES.json
@@ -0,0 +1,44 @@
+[
+  {
+    "name": "bind",
+    "seconds": 0.8741893540000092,
+    "exit_code": 0,
+    "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+  },
+  {
+    "name": "emit",
+    "seconds": 13.803387392999866,
+    "exit_code": 0,
+    "log_sha256": "0ff807a863044d012e87b15cea9f924bcfd6f37e81346c3fe9d835b51f72efa9"
+  },
+  {
+    "name": "audit",
+    "seconds": 35.839059726000414,
+    "exit_code": 0,
+    "log_sha256": "91134fa12a80c25733217ec17aa04fef1f59914719ad3209319b05da14d7f8d8"
+  },
+  {
+    "name": "invoice",
+    "seconds": 3.101735379999809,
+    "exit_code": 0,
+    "log_sha256": "a264c44dc692e071d8064806dbfd6eb2fc136428b79b1bec70430b8477c59aa5"
+  },
+  {
+    "name": "assembly",
+    "seconds": 0.5690444369993202,
+    "exit_code": 0,
+    "log_sha256": "5896c397dae627a2e9e994b5abccb30b30b34b343a9a84ae07e0b4435751075e"
+  },
+  {
+    "name": "freeze",
+    "seconds": 0.043255292999674566,
+    "exit_code": 0,
+    "log_sha256": "0bf474825f4fb17864445c924dc78d6ad6458d2245f6aa299899a2f2319b48c4"
+  },
+  {
+    "name": "independent",
+    "seconds": 5.043838341000082,
+    "exit_code": 0,
+    "log_sha256": "d2c176fb1b9778e4fb8b98b6272d5f713d676ea3fed84da20213eca036bb58fe"
+  }
+]
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/split-centres/CLIFFORD-RECIPES.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/split-centres/CLIFFORD-RECIPES.json
new file mode 100644
index 0000000000..526192f505
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/split-centres/CLIFFORD-RECIPES.json
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+    "wrapper_on_a_target_register",
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+}
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new file mode 100644
index 0000000000..c2e057a3ab
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+}
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new file mode 100644
index 0000000000..2b019f86cd
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new file mode 100644
index 0000000000..5efe2efe55
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+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/split-centres/WRAPPER-CHECKS.json
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diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json
new file mode 100644
index 0000000000..d9a4f84211
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json
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diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/runtime/construction/leaver/PIVOT-SWAP-k8.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/runtime/construction/leaver/PIVOT-SWAP-k8.json
new file mode 100644
index 0000000000..7a8edeb1e4
--- /dev/null
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diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/runtime/data/SPEC.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/discovery/runtime/data/SPEC.json
new file mode 100644
index 0000000000..2ff4bcae2c
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diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/RELEASE-RECEIPT.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/RELEASE-RECEIPT.json
new file mode 100644
index 0000000000..964f32a2e8
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/RELEASE-RECEIPT.json
@@ -0,0 +1,7 @@
+{
+  "status": "PASS_RELEASE",
+  "kappa_decimal": "0.0017200966286848326009719999999999999999999998999999999999999999999999",
+  "manifest_sha256": "62d0e878a08a13cba7dfd2421083ea3f30cea45e04b850a4a7032e5146c38e92",
+  "proof": "Supplier: the package's own unchanged `verify.py` (retained PR1297 provider and parent admission, owner reconstruction, parent lift, strict T74 admission, geometry controls): `PASS_T74_EXACT_FILL_COMPLETE_FINITE_ADMISSION`, native reuse {'base': 'e8e6e78ff7422275c38324499e1f33fb2ecd30de9503aef2b8f1ee80d8c4df8e', 'extra': '7b0e9fbda32749aabc7e156d9fe09bceb0624a178628fe69e5dfea783462f905'}; its complex endpoint 430024157171208150243/25000000... brackets the ledger's b = 172009662868483260097199999999999999999999999999999999999999999999999999999999999999999999999999999999/100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000. Outer (PR1673 capped phase-cell fusion): regenerated exact ledger (63 strict inequalities: the 62 retained rows plus the explicit main-binding row gaussian_above_main, the fixed-grid maximum kappa = C - 1/F - B asserted, 17 rejecting controls incl. the old g-factor union row, the old linear and old-theta chirp guards, the old 2*beta tag test, epsilon at 1 or at the r0 slack and beta outside its window, larger endpoint rejected by the native moment), independent balance derivation, the exact union-schedule simulation, the (retained, not used for kappa) structured-boundary displacement-rank check, the gauge-free identity/symbol/circuit checks, PR1786's finite prime/underflow controls and 19 exact evidence replays all pass. Conditional kappa 0.0017200966286848326009719999999999999999999998999999999999999999999999 (union schedule outer/UNION-SCHEDULE.md; explicit Strassen boundary tau=45/16 (the structured boundary of outer/STRUCTURED-BOUNDARY.md is not used); gauge-free interiors outer/GAUGEFREE-INTERIORS.md; fine source-prime padding PR1786 at the free point epsilon=1-(1025/1024)e-104, outer/FINE-PADDING-COMPOSITION.md; fixed-grid maximum of PR2180/PR2161 (dataisfire), outer/PROOF-GRID-MAX.md; exact-integer coarse exponential PR2168/PR2184 (dataisfire) at the one 24-digit rejection call).",
+  "seconds": 346.93
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/CLAIM.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/CLAIM.json
new file mode 100644
index 0000000000..35cc04f325
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/CLAIM.json
@@ -0,0 +1,18 @@
+{
+  "baseline_head": "c50d12e4720cd1fef2b5a65e337e37de9731879a",
+  "baseline_kappa": "17186585083049300048189999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "baseline_pr": 2848,
+  "headline_kappa_source": "outer/OUTER-CLAIM.json",
+  "kappa": "1717142976839401/1000000000000000000",
+  "kappa_decimal": "0.001717142976839401",
+  "kappa_layers": "CLAIM.json kappa / kappa_decimal is the supplier-only kappa: the strict supplier assembly under its own (older) outer witness, new/SPEC.json expected.kappa. The headline conditional kappa of this package is the outer ledger kappa in outer/OUTER-CLAIM.json (= outer/LEDGER.json), obtained by re-evaluating the same supplier endpoint under the fine-prime-padding outer at the fixed-grid maximum; it is the number compared with the baseline.",
+  "outer_refinement": {
+    "bootstrap_steps": 12,
+    "endpoint_digits": 24,
+    "grid_digits": 18,
+    "margin_digits": 28
+  },
+  "scope": "Conditional finite construction only. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape, exact recovery, analytic transfer, PR559 recurrence correction and PR589 bit H1-H5 assumptions remain. No unconditional theorem, full Lean certification, or global packing claim.",
+  "status": "CONDITIONAL_CANDIDATE_EXPECTED_BY_REPLAY",
+  "verification": "Candidate discovered from literal fill; full original verification must pass separately."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/fine-padding.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/fine-padding.json
new file mode 100644
index 0000000000..4e864c8828
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/fine-padding.json
@@ -0,0 +1,203 @@
+{
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+    "core_power": 128,
+    "halo_power": 48,
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+    "norm_power": 10,
+    "radius_power": 43,
+    "scale_power": 20
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+        "prime_outside_requested_interval": true
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+      "source_to_target_ratio": "46222689294071883672743047238354215767573938196401/46768052394588893382517914646921056628989841375232",
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+        "non_dyadic_target": true,
+        "prime_outside_requested_interval": true
+      },
+      "source_to_target_ratio": "46759548266497182457841548208502175273411449196703/46768052394588893382517914646921056628989841375232",
+      "targets": [
+        134217728,
+        134217728,
+        134217728,
+        268435456,
+        268435456,
+        268435456
+      ],
+      "theta": [
+        "4081/134213647",
+        "4045/134213683",
+        "4029/134213699",
+        "8177/268427279",
+        "8175/268427281",
+        "8153/268427303"
+      ]
+    },
+    {
+      "p": 256,
+      "primes": [
+        134216729,
+        134216737,
+        134216759,
+        268433441,
+        268433443,
+        268433447
+      ],
+      "rejected_controls": {
+        "duplicate_source_prime": true,
+        "dyadic_number_used_as_prime": true,
+        "non_dyadic_target": true,
+        "prime_outside_requested_interval": true
+      },
+      "source_to_target_ratio": "46765969578481191371425264924637371972109227966027/46768052394588893382517914646921056628989841375232",
+      "targets": [
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+        268435456,
+        268435456,
+        268435456
+      ],
+      "theta": [
+        "999/134216729",
+        "991/134216737",
+        "969/134216759",
+        "2015/268433441",
+        "2013/268433443",
+        "2009/268433447"
+      ]
+    }
+  ],
+  "prime_witness_count": 30,
+  "scope": "Finite arithmetic fixtures and failure witnesses only. The cited prime theorem, analytic conditioning and circuit/halo lemmas remain written mathematical inputs; no finite cutoff or full multiplication implementation is verified here.",
+  "status": "PASS_FINE_PADDING_FINITE_CONTROLS",
+  "strassen_power_gap": 1951441519231,
+  "weight_underflow_control": {
+    "a_lower": "27",
+    "a_upper": "198/7",
+    "alpha": 3,
+    "negative_log_weight_lower": "134152199/9708",
+    "old_precision_rounds_weight_to_zero": true,
+    "online_precision": 4096,
+    "p": 32,
+    "relative_error_exponent_margin": "15225192371/101934",
+    "setup_precision": 331776,
+    "source_prime": 134152199,
+    "target": 134217728,
+    "theta": "65529/134152199"
+  }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/new/SPEC.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/new/SPEC.json
new file mode 100644
index 0000000000..2ff4bcae2c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/new/SPEC.json
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diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/B.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/B.json
new file mode 100644
index 0000000000..d4344196aa
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/B.json
@@ -0,0 +1,15 @@
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+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/INDEPENDENT.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/INDEPENDENT.json
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index 0000000000..f44bf253bb
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/INDEPENDENT.json
@@ -0,0 +1,43 @@
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+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/LEDGER.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/LEDGER.json
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+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/LEDGER.json
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+          "decimal": "-0.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993994140625"
+        }
+      },
+      "matrix_below_strassen": {
+        "strassen_integer_power_gap": {
+          "rational": "-423",
+          "decimal": "-423"
+        }
+      },
+      "halo_too_short": {
+        "halo_covers_generic_inverse_radius": {
+          "rational": "-3",
+          "decimal": "-3"
+        }
+      },
+      "core_too_small": {
+        "microbox_halo_volume": {
+          "rational": "-4095999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999877/4096000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+          "decimal": "-0.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999969970703125"
+        },
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+          "decimal": "-3.0017200966286848326009719999999999999999999998999999999999999999999998999999999999999999999999999999999599609375"
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+      },
+      "group_equals_dimension": {
+        "group_below_dimension": {
+          "rational": "0",
+          "decimal": "0"
+        },
+        "group_key_fits_record": {
+          "rational": "0",
+          "decimal": "0"
+        },
+        "membership_arithmetic_fits_record": {
+          "rational": "-41/4096000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+          "decimal": "-1.0009765625E-104"
+        }
+      },
+      "epsilon_equals_one": {
+        "epsilon_below_one": {
+          "rational": "0",
+          "decimal": "0"
+        },
+        "global_gamma_power_slack": {
+          "rational": "-1/100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+          "decimal": "-1E-104"
+        },
+        "actual_logarithmic_gamma_guard": {
+          "rational": "0",
+          "decimal": "0"
+        },
+        "source_axis_superpolynomial": {
+          "rational": "0",
+          "decimal": "0"
+        },
+        "gaussian_above_main": {
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+          "decimal": "-5.16532923164634789842666015624999999999999999999999999999999999999999999999999999999999999999999999993994140625E-107"
+        }
+      },
+      "epsilon_not_above_r0_slack": {
+        "global_gamma_power_slack": {
+          "rational": "0",
+          "decimal": "0"
+        }
+      },
+      "beta_below_gaussian_window": {
+        "gaussian_above_main": {
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+      "beta_above_membership_window": {
+        "membership_arithmetic_fits_record": {
+          "rational": "0",
+          "decimal": "0"
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+      }
+    }
+  },
+  "pr1673_kappa": {
+    "rational": "1677160151714381/1000000000000000000",
+    "decimal": "0.001677160151714381"
+  },
+  "improvement_over_pr1673": {
+    "rational": "429364769704516009719999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+    "decimal": "0.0000429364769704516009719999999999999999999998999999999999999999999999"
+  },
+  "source_sha256": {
+    "new/SPEC.json": "53719400107d610c19bdd887fb881a1d723d995af9375c8af7337f387b105d88",
+    "CLAIM.json": "1c101dc2d56d4424c5c7972b87186665469efdefb3680def14df7b0f8fbdb04b"
+  }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/OUTER-CLAIM.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/OUTER-CLAIM.json
new file mode 100644
index 0000000000..d1b1745ad1
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/outer-tmp/outer/OUTER-CLAIM.json
@@ -0,0 +1,13 @@
+{
+  "b": "certified complex_lower - 1e-104 (outer/B.json)",
+  "baseline_head": "c50d12e4720cd1fef2b5a65e337e37de9731879a",
+  "baseline_kappa": "17186585083049300048189999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "branch": "fine source-prime padding (PR1786, chafreaky; Trudgian's prime theorem; vendor/pr1786) with the gauge-free interiors (PR1758), the radix-distributed union schedule with per-visit tag work and the explicit Strassen boundary (tau=45/16); epsilon=1-1.0009765625e-3080 is a free parameter (outer/FINE-PADDING-COMPOSITION.md): kappa = C - 1/F - B, the fixed-grid maximum (epsilon q is 1.70e-3083 below q); the structured boundary of the previous package is not used; omega_C<=9/4 not used; recertified endpoint: the supplier native endpoint is certified to 1e-3000 (accept at the endpoint, reject at endpoint + 1e-3000, repaired fine engines in integer fixed point), and all free slacks are 1e-3080 or below",
+  "fixed_grid_maximum": "kappa=C-10^-70-10^-46 exactly; same fixed-grid-maximum proof at precision24.",
+  "gain": "1438120379902596153/1000000000000000000000000",
+  "kappa": "0.0017200966286848326009719999999999999999999998999999999999999999999999",
+  "kappa_rational": "17200966286848326009719999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "outer": "PR1673 capped phase-cell fusion (Vlado Vojdanovski)",
+  "retuned_slacks": "Endpoint precision24; free gaps follow outer/check_ledger.py from the frozen SPEC.",
+  "supplier": "PR1661 T74 pivot-566 stack with PR2226 anticipatory dirty borrowing, the PR2312 width exchange, frame refit and kernels, the PR2322 handoffs, the PR2435/PR2447 entrance raise, the PR2436 lifted-target aliases, and the PR2530 (zxv) eight source-partner aliases with an owner fill evacuated by the PR2559 (philippeVV) method; this package: six pre-life hostings (cold hosts 273, 275, 289, 291, 305, 321 host helpers 482, 483, 494, 495, 507, 519), a one-gate frame refit with the retired-lender alias 653<-563, and a new exact owner fill"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/AUDIT-LOCAL-566-base.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/AUDIT-LOCAL-566-base.json
new file mode 100644
index 0000000000..f8903ebbbf
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/AUDIT-LOCAL-566-base.json
@@ -0,0 +1,137 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_FORWARD_AND_DUAL_ENDPOINT_FRAMES_ENTRANCES_CONES",
+  "input_file": "gauge44-word-566.json.gz",
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+    "parent_file_sha256": "66d3c3c70983224650643a0a05a21ac6c6959f84d0f4528650601016f5a76844",
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+    "ordered_frame_bases_match": true,
+    "all_ports_match": true,
+    "transported_centers": [
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+        16,
+        8,
+        5,
+        3
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+        20,
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+      [
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+        18,
+        8,
+        4,
+        1
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+      [
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+        128,
+        65,
+        33,
+        17,
+        9,
+        5,
+        3
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+      [
+        256,
+        128,
+        65,
+        33,
+        16,
+        8,
+        4,
+        2
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+      [
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+  "local_profile": {
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+    "8": 114,
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+  "checked_columns": 704,
+  "elapsed_seconds": 0.8440822700003991,
+  "scope": "Exact rational full scalar map in both orientations; all literal native frame chains, center levels, dyadic units, entrance-zero response, wrapper exclusion and final helper row/column cones. No global owner admission or exponent repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/AUDIT-LOCAL-566-extra.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/AUDIT-LOCAL-566-extra.json
new file mode 100644
index 0000000000..e849845887
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/AUDIT-LOCAL-566-extra.json
@@ -0,0 +1,137 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_FORWARD_AND_DUAL_ENDPOINT_FRAMES_ENTRANCES_CONES",
+  "input_file": "extra-word-566.json.gz",
+  "content_sha256": "848815627392ea8995577fb2023077f461405231fcaf934aad6b9e5a8a0da4eb",
+  "compressed_sha256": "cd417b904408c221d9840d08faff8af040cc4207f9804284f2f5375d21298a62",
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+    "ordered_frame_bases_match": true,
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+    "transported_centers": [
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+      81,
+      11,
+      9
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+        256,
+        128,
+        64,
+        34,
+        16,
+        10,
+        4,
+        1
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+      [
+        256,
+        128,
+        64,
+        32,
+        16,
+        8,
+        5,
+        3
+      ],
+      [
+        256,
+        128,
+        64,
+        32,
+        17,
+        9,
+        4,
+        2
+      ],
+      [
+        256,
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+        36,
+        20,
+        8,
+        2,
+        1
+      ],
+      [
+        256,
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+        66,
+        32,
+        18,
+        8,
+        4,
+        1
+      ],
+      [
+        256,
+        128,
+        65,
+        33,
+        17,
+        9,
+        5,
+        3
+      ],
+      [
+        256,
+        128,
+        65,
+        33,
+        16,
+        8,
+        4,
+        2
+      ],
+      [
+        256,
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+        68,
+        32,
+        16,
+        12,
+        2,
+        1
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+  "lowends": 78,
+  "coldends": 48,
+  "compensation_gates": 7208,
+  "local_profile": {
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+    "3": 420,
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+    "8": 114,
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+  "checked_columns": 704,
+  "elapsed_seconds": 0.829709585999808,
+  "scope": "Exact rational full scalar map in both orientations; all literal native frame chains, center levels, dyadic units, entrance-zero response, wrapper exclusion and final helper row/column cones. No global owner admission or exponent repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/GEOMETRY-CONTROLS.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/GEOMETRY-CONTROLS.json
new file mode 100644
index 0000000000..9f71586085
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/GEOMETRY-CONTROLS.json
@@ -0,0 +1,29 @@
+{
+  "status": "PASS_T74_GEOMETRY_AND_CHARGE_CONTROLS",
+  "rejected": [
+    {
+      "name": "old_prefix",
+      "reason": "strict arithmetic invariant"
+    },
+    {
+      "name": "old_call_count",
+      "reason": "strict arithmetic invariant"
+    },
+    {
+      "name": "old_parent_idle",
+      "reason": "strict arithmetic invariant"
+    },
+    {
+      "name": "old_stock",
+      "reason": "strict arithmetic invariant"
+    },
+    {
+      "name": "missing_call",
+      "reason": "strict arithmetic invariant"
+    },
+    {
+      "name": "low_row",
+      "reason": "strict arithmetic invariant"
+    }
+  ]
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/LEMMAG-LABELS.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/LEMMAG-LABELS.json
new file mode 100644
index 0000000000..2d92a56ccf
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/LEMMAG-LABELS.json
@@ -0,0 +1,180 @@
+{
+ "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458": {
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+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/RESULT.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/RESULT.json
new file mode 100644
index 0000000000..ac850ccfea
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/RESULT.json
@@ -0,0 +1,104 @@
+{
+  "status": "PASS_T74_EXACT_FILL_COMPLETE_FINITE_ADMISSION",
+  "kappa": "1717142976839401/1000000000000000000",
+  "kappa_decimal": "0.001717142976839401",
+  "manifest_sha256": "62d0e878a08a13cba7dfd2421083ea3f30cea45e04b850a4a7032e5146c38e92",
+  "native_reuse": {
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+    "extra": true
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+  "provider_verification": "PASS_GLOBAL_MIXED_X54_FUSIONS_NATIVE_AND_STRICT_ADMISSION",
+  "roles": 135864,
+  "prefix_bits": 1452,
+  "charged_prefix_bits": 2048,
+  "physical_row_coefficient": 19543,
+  "row_limit": 20161,
+  "controls": {
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+    "bit": 12,
+    "controller": 15,
+    "independent_owner": 8,
+    "geometry": 6
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+  "stages": [
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+      "seconds": 2.406256043999747,
+      "log_sha256": "ea6df7be568d6461ac54e0d56754797de0f70f2f1ecc335114791445b75795d3"
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+      "reused_receipt": "e0eefc96567fbb45e19e6de0ca295381dbe0e686c08ddc783639b065c7c791d4",
+      "exit_code": 0,
+      "seconds": 0.49025722199985466
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+    {
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+      "seconds": 4.441041525999935,
+      "log_sha256": "c428a9572a1f42f227c5d7f1bf9660bab5c2384466536043640504c46aadb6b6"
+    },
+    {
+      "name": "rebuild-words-566",
+      "exit_code": 0,
+      "seconds": 4.651493745999687,
+      "log_sha256": "dcbcbeda80423df29ef008bfac58409378f1fd0a3b9b23fc31ab9f03659dd86f"
+    },
+    {
+      "name": "lift-parent",
+      "exit_code": 0,
+      "seconds": 7.739422734999607,
+      "log_sha256": "ea74ad55229acb8d6979bf7307e2875049dbb18bc4a9309719cb7011cc36dcec"
+    },
+    {
+      "name": "rebuild-borrow-words",
+      "exit_code": 0,
+      "seconds": 235.0570173649994,
+      "log_sha256": "b082260b7d87cc4040fc25c2472b9150a1bb1bf719e45c8f2e09c7fc06611688"
+    },
+    {
+      "name": "shared-kernel-independent-review",
+      "exit_code": 0,
+      "seconds": 13.01546547900034,
+      "log_sha256": "3dc6eb8940cf8a4b993f80129c98b6c4846ad346ccf773a78af225cff3339cc3"
+    },
+    {
+      "name": "audit-local-566-base",
+      "exit_code": 0,
+      "seconds": 0.9861478139991959,
+      "log_sha256": "e7e62ac0397b9273c91d0ae13a47bc37985e8abc2cf217b1cf83299fe3bc14b9"
+    },
+    {
+      "name": "audit-local-566-extra",
+      "exit_code": 0,
+      "seconds": 0.9734199180002179,
+      "log_sha256": "2522c4f4bd3a3046c4163fae04fae4687bd2aa2773457985cbb7ed9b65566dea"
+    },
+    {
+      "name": "rebind-566",
+      "exit_code": 0,
+      "seconds": 0.6533850650002933,
+      "log_sha256": "0b1693d2c13addcf8b2e3004887ca35bbf20cba5e4f3497f38643740fc6fe7a7"
+    },
+    {
+      "name": "lemmag-labels",
+      "exit_code": 0,
+      "seconds": 27.903758081999513,
+      "log_sha256": "91fafdc76824e278546bb51465cf84d60a3513df3f2e8ab9854919c416cd3469"
+    },
+    {
+      "name": "strict-t74",
+      "exit_code": 0,
+      "seconds": 57.2484088909996,
+      "log_sha256": "d0964f1b24a731ee8e1a12fe3819ccf1d0fabb043c66baa004b880d2bf5cff8d"
+    },
+    {
+      "name": "geometry-controls",
+      "exit_code": 0,
+      "seconds": 1.0031089410003915,
+      "log_sha256": "0a3ecf05cfa2bebb61fffd2fbb4b244c03d742069e2705d02512699bbf4b01f9"
+    }
+  ],
+  "scope": "Conditional finite construction only. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape, exact recovery, analytic transfer, PR559 recurrence correction and PR589 bit H1-H5 assumptions remain. No unconditional theorem, full Lean certification, or global packing claim."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/STAGES.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/STAGES.json
new file mode 100644
index 0000000000..fd02a53b29
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/STAGES.json
@@ -0,0 +1,80 @@
+[
+  {
+    "name": "fine-engine-oracle",
+    "exit_code": 0,
+    "seconds": 2.406256043999747,
+    "log_sha256": "ea6df7be568d6461ac54e0d56754797de0f70f2f1ecc335114791445b75795d3"
+  },
+  {
+    "name": "retained-provider-and-parent-admission",
+    "reused_receipt": "e0eefc96567fbb45e19e6de0ca295381dbe0e686c08ddc783639b065c7c791d4",
+    "exit_code": 0,
+    "seconds": 0.49025722199985466
+  },
+  {
+    "name": "reconstruct-owners",
+    "exit_code": 0,
+    "seconds": 4.441041525999935,
+    "log_sha256": "c428a9572a1f42f227c5d7f1bf9660bab5c2384466536043640504c46aadb6b6"
+  },
+  {
+    "name": "rebuild-words-566",
+    "exit_code": 0,
+    "seconds": 4.651493745999687,
+    "log_sha256": "dcbcbeda80423df29ef008bfac58409378f1fd0a3b9b23fc31ab9f03659dd86f"
+  },
+  {
+    "name": "lift-parent",
+    "exit_code": 0,
+    "seconds": 7.739422734999607,
+    "log_sha256": "ea74ad55229acb8d6979bf7307e2875049dbb18bc4a9309719cb7011cc36dcec"
+  },
+  {
+    "name": "rebuild-borrow-words",
+    "exit_code": 0,
+    "seconds": 235.0570173649994,
+    "log_sha256": "b082260b7d87cc4040fc25c2472b9150a1bb1bf719e45c8f2e09c7fc06611688"
+  },
+  {
+    "name": "shared-kernel-independent-review",
+    "exit_code": 0,
+    "seconds": 13.01546547900034,
+    "log_sha256": "3dc6eb8940cf8a4b993f80129c98b6c4846ad346ccf773a78af225cff3339cc3"
+  },
+  {
+    "name": "audit-local-566-base",
+    "exit_code": 0,
+    "seconds": 0.9861478139991959,
+    "log_sha256": "e7e62ac0397b9273c91d0ae13a47bc37985e8abc2cf217b1cf83299fe3bc14b9"
+  },
+  {
+    "name": "audit-local-566-extra",
+    "exit_code": 0,
+    "seconds": 0.9734199180002179,
+    "log_sha256": "2522c4f4bd3a3046c4163fae04fae4687bd2aa2773457985cbb7ed9b65566dea"
+  },
+  {
+    "name": "rebind-566",
+    "exit_code": 0,
+    "seconds": 0.6533850650002933,
+    "log_sha256": "0b1693d2c13addcf8b2e3004887ca35bbf20cba5e4f3497f38643740fc6fe7a7"
+  },
+  {
+    "name": "lemmag-labels",
+    "exit_code": 0,
+    "seconds": 27.903758081999513,
+    "log_sha256": "91fafdc76824e278546bb51465cf84d60a3513df3f2e8ab9854919c416cd3469"
+  },
+  {
+    "name": "strict-t74",
+    "exit_code": 0,
+    "seconds": 57.2484088909996,
+    "log_sha256": "d0964f1b24a731ee8e1a12fe3819ccf1d0fabb043c66baa004b880d2bf5cff8d"
+  },
+  {
+    "name": "geometry-controls",
+    "exit_code": 0,
+    "seconds": 1.0031089410003915,
+    "log_sha256": "0a3ecf05cfa2bebb61fffd2fbb4b244c03d742069e2705d02512699bbf4b01f9"
+  }
+]
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/ALIAS-ENUMERATION-43base.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/ALIAS-ENUMERATION-43base.json
new file mode 100644
index 0000000000..2b0e560edc
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/ALIAS-ENUMERATION-43base.json
@@ -0,0 +1,35 @@
+{
+ "prelife_refit_state": {
+  "counts": {
+   "h_used_in_A_or_early": 328,
+   "lender_not_retired": 39207,
+   "dim_too_big": 4751,
+   "endL": 156,
+   "pair": 1
+  },
+  "pairs": [
+   {
+    "h": 653,
+    "L": 563,
+    "p1": 1065,
+    "d": 5,
+    "s": 5,
+    "f1": 5,
+    "width": 4,
+    "dprof": {
+     "4": -1
+    }
+   }
+  ]
+ },
+ "shipped": {
+  "counts": {
+   "h_used_in_A_or_early": 328,
+   "lender_not_retired": 38795,
+   "dim_too_big": 4587,
+   "endL": 130
+  },
+  "pairs": 0
+ },
+ "note": "counts: h_used_in_A_or_early = helpers first used before B (needs the prelude/lifted-target mechanism); the other counts are (h,L) pairs failing that condition"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/ALIAS-ENUMERATION-43extra.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/ALIAS-ENUMERATION-43extra.json
new file mode 100644
index 0000000000..2b0e560edc
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/ALIAS-ENUMERATION-43extra.json
@@ -0,0 +1,35 @@
+{
+ "prelife_refit_state": {
+  "counts": {
+   "h_used_in_A_or_early": 328,
+   "lender_not_retired": 39207,
+   "dim_too_big": 4751,
+   "endL": 156,
+   "pair": 1
+  },
+  "pairs": [
+   {
+    "h": 653,
+    "L": 563,
+    "p1": 1065,
+    "d": 5,
+    "s": 5,
+    "f1": 5,
+    "width": 4,
+    "dprof": {
+     "4": -1
+    }
+   }
+  ]
+ },
+ "shipped": {
+  "counts": {
+   "h_used_in_A_or_early": 328,
+   "lender_not_retired": 38795,
+   "dim_too_big": 4587,
+   "endL": 130
+  },
+  "pairs": 0
+ },
+ "note": "counts: h_used_in_A_or_early = helpers first used before B (needs the prelude/lifted-target mechanism); the other counts are (h,L) pairs failing that condition"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43base-pinned.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43base-pinned.json
new file mode 100644
index 0000000000..b496f2cbf4
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43base-pinned.json
@@ -0,0 +1,43 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "w0.json.gz",
+  "content_sha256": "0c3f353c53a8572d0a1a85bbe87e114475ff5ec6c4aeced09025de97b70d6611",
+  "compressed_sha256": "05b8123209200b9743617247a49c5bad97da5ececba66afe4c1aaaf18086d68e",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 42,
+  "independent_inputs": 662,
+  "warps": 42,
+  "corrections": 0,
+  "restored_cold": 78,
+  "zero_buffers": 78,
+  "entering": 150,
+  "local_profile": {
+    "1": 2353,
+    "2": 500,
+    "3": 416,
+    "4": 128,
+    "5": 42,
+    "8": 8
+  },
+  "local_mass": 5387,
+  "width_inventory": {
+    "4": 37,
+    "5": 9,
+    "7": 38,
+    "8": 114,
+    "9": 240
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": {
+    "base_sha256": "65c6d17ffee2eacf27bff438f37fc549c9ed0c909cbc7a52976cc75cf2d15b91",
+    "sections_match_minus_removed": true
+  },
+  "checked_columns": 662,
+  "elapsed_seconds": 1.3243629669996153,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43base-prekernel.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43base-prekernel.json
new file mode 100644
index 0000000000..346e9c58b2
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43base-prekernel.json
@@ -0,0 +1,40 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "w12.json.gz",
+  "content_sha256": "f1e88aaee178d0d4b124917b4025d29db28787d7ee7758d6e4846abc4da55d86",
+  "compressed_sha256": "198e0baaa078355f496dd9bb9fb679f5ca79d2ec307b6d91e0f5ff750d02ec21",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 72,
+  "independent_inputs": 632,
+  "warps": 72,
+  "corrections": 36,
+  "restored_cold": 72,
+  "zero_buffers": 72,
+  "entering": 128,
+  "local_profile": {
+    "1": 2382,
+    "2": 650,
+    "3": 266,
+    "4": 128,
+    "5": 26,
+    "8": 8
+  },
+  "local_mass": 5186,
+  "width_inventory": {
+    "4": 26,
+    "5": 2,
+    "7": 62,
+    "8": 80,
+    "9": 238
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": null,
+  "checked_columns": 632,
+  "elapsed_seconds": 0.673374177000369,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43base.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43base.json
new file mode 100644
index 0000000000..001816c097
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43base.json
@@ -0,0 +1,40 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "BORROW-WORD-43base.json.gz",
+  "content_sha256": "fd073806137fdd0b2e74f7075c7079304797227011c30147341328b928a8840c",
+  "compressed_sha256": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 72,
+  "independent_inputs": 632,
+  "warps": 72,
+  "corrections": 36,
+  "restored_cold": 72,
+  "zero_buffers": 72,
+  "entering": 132,
+  "local_profile": {
+    "1": 2394,
+    "2": 642,
+    "3": 266,
+    "4": 128,
+    "5": 26,
+    "8": 8
+  },
+  "local_mass": 5182,
+  "width_inventory": {
+    "4": 26,
+    "5": 2,
+    "7": 62,
+    "8": 84,
+    "9": 234
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": null,
+  "checked_columns": 632,
+  "elapsed_seconds": 0.68395830999998,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43extra-pinned.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43extra-pinned.json
new file mode 100644
index 0000000000..04731b5449
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43extra-pinned.json
@@ -0,0 +1,43 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "w0.json.gz",
+  "content_sha256": "94ffb6abe121b37a1c58eae7a7527b90ad5b56e227ef277f819f1f710605d9cb",
+  "compressed_sha256": "ea59b4a776a976ffc6b4e71b3e03a9a12ee57302cd42a6183bb3d648a6901963",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 42,
+  "independent_inputs": 662,
+  "warps": 42,
+  "corrections": 0,
+  "restored_cold": 78,
+  "zero_buffers": 78,
+  "entering": 150,
+  "local_profile": {
+    "1": 2341,
+    "2": 508,
+    "3": 420,
+    "4": 124,
+    "5": 42,
+    "8": 8
+  },
+  "local_mass": 5387,
+  "width_inventory": {
+    "4": 37,
+    "5": 9,
+    "7": 38,
+    "8": 114,
+    "9": 240
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": {
+    "base_sha256": "d7e48dcbafa236a2e1e41f7958244211506f7c7630fe6a2d43d2bdf17b7ae015",
+    "sections_match_minus_removed": true
+  },
+  "checked_columns": 662,
+  "elapsed_seconds": 1.4179707349994715,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43extra-prekernel.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43extra-prekernel.json
new file mode 100644
index 0000000000..d1a739991d
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43extra-prekernel.json
@@ -0,0 +1,40 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "w12.json.gz",
+  "content_sha256": "0abed7f7cd4cc5d6bf186fdcb64be87a6011e3da7c8dad2fc37cb80eb45b326f",
+  "compressed_sha256": "de23a688c1017623c0800879015f0b4cf45aa66fb0225751b82654dc0c9e3e23",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 72,
+  "independent_inputs": 632,
+  "warps": 72,
+  "corrections": 36,
+  "restored_cold": 72,
+  "zero_buffers": 72,
+  "entering": 128,
+  "local_profile": {
+    "1": 2382,
+    "2": 650,
+    "3": 266,
+    "4": 128,
+    "5": 26,
+    "8": 8
+  },
+  "local_mass": 5186,
+  "width_inventory": {
+    "4": 26,
+    "5": 2,
+    "7": 62,
+    "8": 80,
+    "9": 238
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": null,
+  "checked_columns": 632,
+  "elapsed_seconds": 0.7115724059995046,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43extra.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43extra.json
new file mode 100644
index 0000000000..e1cde0f120
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/AUDIT-43extra.json
@@ -0,0 +1,40 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "BORROW-WORD-43extra.json.gz",
+  "content_sha256": "d61a8077a8bb60b5e36b742fca6c04df21a701b09ef432600ec62462caaa8f6d",
+  "compressed_sha256": "bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 72,
+  "independent_inputs": 632,
+  "warps": 72,
+  "corrections": 36,
+  "restored_cold": 72,
+  "zero_buffers": 72,
+  "entering": 132,
+  "local_profile": {
+    "1": 2394,
+    "2": 642,
+    "3": 266,
+    "4": 128,
+    "5": 26,
+    "8": 8
+  },
+  "local_mass": 5182,
+  "width_inventory": {
+    "4": 26,
+    "5": 2,
+    "7": 62,
+    "8": 84,
+    "9": 234
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": null,
+  "checked_columns": 632,
+  "elapsed_seconds": 0.7624126549999346,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-43base.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-43base.json
new file mode 100644
index 0000000000..b625208c66
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-43base.json
@@ -0,0 +1,124 @@
+{
+ "all_controls_rejected_for_expected_reason": true,
+ "controls": [
+  {
+   "control": "unmutated",
+   "rejected": false,
+   "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD"
+  },
+  {
+   "control": "wrong G (invertible, G(from)!=to)",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "non-invertible G",
+   "rejected": true,
+   "reason": "G not invertible",
+   "expected_reason_match": true
+  },
+  {
+   "control": "non-invertible G (zero column)",
+   "rejected": true,
+   "reason": "G not invertible",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame mismatch (from frame differs from current)",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame mismatch (consistent G, from frame differs from lender current frame)",
+   "rejected": true,
+   "reason": "warp frame mismatch (1, 243, (261, 133, 85, 45), (260, 133, 85, 45))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame mismatch (warp moved to a position where the lender frame differs)",
+   "rejected": true,
+   "reason": "frame not monotone (243, (261, 133, 85, 45), (320, 192, 45, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "missing inverse warp in cleanup",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "all inverse warps missing",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "algebra without inverse warps does not restore inputs",
+   "failed_inputs": 140,
+   "rejected": true
+  },
+  {
+   "control": "dim(from)!=dim(to)",
+   "rejected": true,
+   "reason": "dim(from)!=dim(to)",
+   "expected_reason_match": true
+  },
+  {
+   "control": "inverse warp not at FULL",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "cleanup uses real restored input instead of private buffer",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "restoration gate dropped (derived cleanup)",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2353, 2: 498, 3: 416, 4: 129, 5: 42, 8: 8}",
+   "expected_reason_match": true
+  },
+  {
+   "control": "false cold-restoration claim (register not restored)",
+   "rejected": true,
+   "reason": "frame not monotone (472, (256, 131, 64, 34, 17, 8, 4), (1,))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "restoration gate dropped",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "gate on removed helper",
+   "rejected": true,
+   "reason": "register out of range or removed helper referenced",
+   "expected_reason_match": true
+  },
+  {
+   "control": "wrong claimed profile",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2353, 2: 500, 3: 416, 4: 128, 5: 42, 8: 8}",
+   "expected_reason_match": true
+  },
+  {
+   "control": "wrong claimed width inventory",
+   "rejected": true,
+   "reason": "width inventory mismatch {4: 37, 5: 9, 7: 38, 8: 114, 9: 240}",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame chain not monotone",
+   "rejected": true,
+   "reason": "frame not monotone (114, (45,), ())",
+   "expected_reason_match": true
+  }
+ ],
+ "seconds": 4197.682841991
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-43extra.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-43extra.json
new file mode 100644
index 0000000000..17a8555613
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-43extra.json
@@ -0,0 +1,124 @@
+{
+ "all_controls_rejected_for_expected_reason": true,
+ "controls": [
+  {
+   "control": "unmutated",
+   "rejected": false,
+   "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD"
+  },
+  {
+   "control": "wrong G (invertible, G(from)!=to)",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "non-invertible G",
+   "rejected": true,
+   "reason": "G not invertible",
+   "expected_reason_match": true
+  },
+  {
+   "control": "non-invertible G (zero column)",
+   "rejected": true,
+   "reason": "G not invertible",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame mismatch (from frame differs from current)",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame mismatch (consistent G, from frame differs from lender current frame)",
+   "rejected": true,
+   "reason": "warp frame mismatch (1, 243, (261, 133, 85, 45), (260, 133, 85, 45))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame mismatch (warp moved to a position where the lender frame differs)",
+   "rejected": true,
+   "reason": "frame not monotone (243, (261, 133, 85, 45), (320, 192, 45, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "missing inverse warp in cleanup",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "all inverse warps missing",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "algebra without inverse warps does not restore inputs",
+   "failed_inputs": 140,
+   "rejected": true
+  },
+  {
+   "control": "dim(from)!=dim(to)",
+   "rejected": true,
+   "reason": "dim(from)!=dim(to)",
+   "expected_reason_match": true
+  },
+  {
+   "control": "inverse warp not at FULL",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "cleanup uses real restored input instead of private buffer",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "restoration gate dropped (derived cleanup)",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2341, 2: 506, 3: 420, 4: 125, 5: 42, 8: 8}",
+   "expected_reason_match": true
+  },
+  {
+   "control": "false cold-restoration claim (register not restored)",
+   "rejected": true,
+   "reason": "frame not monotone (472, (256, 131, 64, 34, 17, 8, 4), (1,))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "restoration gate dropped",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "gate on removed helper",
+   "rejected": true,
+   "reason": "register out of range or removed helper referenced",
+   "expected_reason_match": true
+  },
+  {
+   "control": "wrong claimed profile",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2341, 2: 508, 3: 420, 4: 124, 5: 42, 8: 8}",
+   "expected_reason_match": true
+  },
+  {
+   "control": "wrong claimed width inventory",
+   "rejected": true,
+   "reason": "width inventory mismatch {4: 37, 5: 9, 7: 38, 8: 114, 9: 240}",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame chain not monotone",
+   "rejected": true,
+   "reason": "frame not monotone (114, (45,), ())",
+   "expected_reason_match": true
+  }
+ ],
+ "seconds": 4330.69641807
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-ALIAS1-43base.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-ALIAS1-43base.json
new file mode 100644
index 0000000000..0ee12770ae
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-ALIAS1-43base.json
@@ -0,0 +1,40 @@
+{
+ "all_rejected": true,
+ "controls": {
+  "653<-563 borrowed read sign flipped": {
+   "rejected": true,
+   "reason": "target map failed 75",
+   "real_reason": true
+  },
+  "653<-563 borrowed read doubled": {
+   "rejected": true,
+   "reason": "target map failed 75",
+   "real_reason": true
+  },
+  "653<-563 borrowed write sign flipped": {
+   "rejected": true,
+   "reason": "target map failed 82",
+   "real_reason": true
+  },
+  "653<-563 warp dropped": {
+   "rejected": true,
+   "reason": "frame not monotone (563, (259, 148, 66, 36, 9), (288, 160, 75, 25, 7))",
+   "real_reason": true
+  },
+  "653<-563 G wrong": {
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "real_reason": true
+  },
+  "653<-563 warp before lender retirement": {
+   "rejected": true,
+   "reason": "warp frame mismatch (65, 563, (75,), (259, 148, 66, 36, 9))",
+   "real_reason": true
+  },
+  "653 kept with an entrance frame": {
+   "rejected": true,
+   "reason": "start_extra/helper_final must name remaining helpers",
+   "real_reason": true
+  }
+ }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-ALIAS1-43extra.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-ALIAS1-43extra.json
new file mode 100644
index 0000000000..0ee12770ae
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-ALIAS1-43extra.json
@@ -0,0 +1,40 @@
+{
+ "all_rejected": true,
+ "controls": {
+  "653<-563 borrowed read sign flipped": {
+   "rejected": true,
+   "reason": "target map failed 75",
+   "real_reason": true
+  },
+  "653<-563 borrowed read doubled": {
+   "rejected": true,
+   "reason": "target map failed 75",
+   "real_reason": true
+  },
+  "653<-563 borrowed write sign flipped": {
+   "rejected": true,
+   "reason": "target map failed 82",
+   "real_reason": true
+  },
+  "653<-563 warp dropped": {
+   "rejected": true,
+   "reason": "frame not monotone (563, (259, 148, 66, 36, 9), (288, 160, 75, 25, 7))",
+   "real_reason": true
+  },
+  "653<-563 G wrong": {
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "real_reason": true
+  },
+  "653<-563 warp before lender retirement": {
+   "rejected": true,
+   "reason": "warp frame mismatch (65, 563, (75,), (259, 148, 66, 36, 9))",
+   "real_reason": true
+  },
+  "653 kept with an entrance frame": {
+   "rejected": true,
+   "reason": "start_extra/helper_final must name remaining helpers",
+   "real_reason": true
+  }
+ }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-KERNEL-43base.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-KERNEL-43base.json
new file mode 100644
index 0000000000..578da2dedb
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-KERNEL-43base.json
@@ -0,0 +1,13 @@
+{
+  "kernel_sign_flipped": true,
+  "kernel_read_dropped": true,
+  "kernel_coefficient_doubled": true,
+  "kernel_read_moved_to_neighbour_register": true,
+  "alias8_sign_flipped": true,
+  "alias8_coefficient_doubled": true,
+  "alias8_warp_dropped": true,
+  "entrance_start_frame_dropped": true,
+  "entrance_start_frame_widened": true,
+  "handoff_sign_flipped": true,
+  "handoff_coefficient_doubled": true
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-KERNEL-43extra.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-KERNEL-43extra.json
new file mode 100644
index 0000000000..578da2dedb
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-KERNEL-43extra.json
@@ -0,0 +1,13 @@
+{
+  "kernel_sign_flipped": true,
+  "kernel_read_dropped": true,
+  "kernel_coefficient_doubled": true,
+  "kernel_read_moved_to_neighbour_register": true,
+  "alias8_sign_flipped": true,
+  "alias8_coefficient_doubled": true,
+  "alias8_warp_dropped": true,
+  "entrance_start_frame_dropped": true,
+  "entrance_start_frame_widened": true,
+  "handoff_sign_flipped": true,
+  "handoff_coefficient_doubled": true
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43base.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43base.json
new file mode 100644
index 0000000000..2dc770e490
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43base.json
@@ -0,0 +1,129 @@
+{
+ "all_rejected": true,
+ "controls": [
+  {
+   "control": "unmutated",
+   "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD"
+  },
+  {
+   "control": "prelude correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "prelude correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "prelude correction targets swapped",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "prelude return warp dropped",
+   "rejected": true,
+   "reason": "frame not monotone (83, (45,), (382,))"
+  },
+  {
+   "control": "prelude forward warp dropped",
+   "rejected": true,
+   "reason": "frame not monotone (83, (382,), (45,))"
+  },
+  {
+   "control": "all prelude corrections of target 135 dropped",
+   "rejected": true,
+   "reason": "target map failed 23"
+  },
+  {
+   "control": "prelude target scale at a different line",
+   "rejected": true,
+   "reason": "frame not monotone (126, (31,), (45,))"
+  },
+  {
+   "control": "prelude warp uses another operator id",
+   "rejected": true,
+   "reason": "prelude warp operator/lender"
+  },
+  {
+   "control": "prelude warp lands on a different line",
+   "rejected": true,
+   "reason": "G(from)!=to"
+  },
+  {
+   "control": "prelude unmarked",
+   "rejected": true,
+   "reason": "warp item after the prelude"
+  },
+  {
+   "control": "lifted target level missing",
+   "rejected": true,
+   "reason": "target centre levels"
+  },
+  {
+   "control": "new warp from-frame wrong",
+   "rejected": true,
+   "reason": "G(from)!=to"
+  },
+  {
+   "control": "new warp G wrong",
+   "rejected": true,
+   "reason": "G(from)!=to"
+  },
+  {
+   "control": "source restoration gate dropped (cleanup re-derived)",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "rewritten source gate dropped (cleanup re-derived)",
+   "rejected": true,
+   "reason": "target map failed 23"
+  },
+  {
+   "control": "rewritten source gate sign flipped (cleanup re-derived)",
+   "rejected": true,
+   "reason": "target map failed 23"
+  },
+  {
+   "control": "raised buffer entrance dropped 474",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 647, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "raised buffer entrance widened 474",
+   "rejected": true,
+   "reason": "frame not monotone (474, (256, 128, 64, 32, 16, 8, 4, 2, 1), (82, 42))"
+  },
+  {
+   "control": "raised buffer entrance dropped 522",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 647, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "raised buffer entrance widened 522",
+   "rejected": true,
+   "reason": "frame not monotone (522, (256, 128, 64, 32, 16, 8, 4, 2, 1), (82, 7))"
+  },
+  {
+   "control": "raised buffer entrance dropped 534",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 647, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "raised buffer entrance widened 534",
+   "rejected": true,
+   "reason": "frame not monotone (534, (256, 128, 64, 32, 16, 8, 4, 2, 1), (120, 7))"
+  },
+  {
+   "control": "wrong claimed profile",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 646, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "wrong claimed width inventory",
+   "rejected": true,
+   "reason": "width inventory mismatch {4: 26, 5: 9, 7: 62, 8: 78, 9: 240}"
+  }
+ ]
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43extra.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43extra.json
new file mode 100644
index 0000000000..2dc770e490
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43extra.json
@@ -0,0 +1,129 @@
+{
+ "all_rejected": true,
+ "controls": [
+  {
+   "control": "unmutated",
+   "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD"
+  },
+  {
+   "control": "prelude correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "prelude correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "prelude correction targets swapped",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "prelude return warp dropped",
+   "rejected": true,
+   "reason": "frame not monotone (83, (45,), (382,))"
+  },
+  {
+   "control": "prelude forward warp dropped",
+   "rejected": true,
+   "reason": "frame not monotone (83, (382,), (45,))"
+  },
+  {
+   "control": "all prelude corrections of target 135 dropped",
+   "rejected": true,
+   "reason": "target map failed 23"
+  },
+  {
+   "control": "prelude target scale at a different line",
+   "rejected": true,
+   "reason": "frame not monotone (126, (31,), (45,))"
+  },
+  {
+   "control": "prelude warp uses another operator id",
+   "rejected": true,
+   "reason": "prelude warp operator/lender"
+  },
+  {
+   "control": "prelude warp lands on a different line",
+   "rejected": true,
+   "reason": "G(from)!=to"
+  },
+  {
+   "control": "prelude unmarked",
+   "rejected": true,
+   "reason": "warp item after the prelude"
+  },
+  {
+   "control": "lifted target level missing",
+   "rejected": true,
+   "reason": "target centre levels"
+  },
+  {
+   "control": "new warp from-frame wrong",
+   "rejected": true,
+   "reason": "G(from)!=to"
+  },
+  {
+   "control": "new warp G wrong",
+   "rejected": true,
+   "reason": "G(from)!=to"
+  },
+  {
+   "control": "source restoration gate dropped (cleanup re-derived)",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "rewritten source gate dropped (cleanup re-derived)",
+   "rejected": true,
+   "reason": "target map failed 23"
+  },
+  {
+   "control": "rewritten source gate sign flipped (cleanup re-derived)",
+   "rejected": true,
+   "reason": "target map failed 23"
+  },
+  {
+   "control": "raised buffer entrance dropped 474",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 647, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "raised buffer entrance widened 474",
+   "rejected": true,
+   "reason": "frame not monotone (474, (256, 128, 64, 32, 16, 8, 4, 2, 1), (82, 42))"
+  },
+  {
+   "control": "raised buffer entrance dropped 522",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 647, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "raised buffer entrance widened 522",
+   "rejected": true,
+   "reason": "frame not monotone (522, (256, 128, 64, 32, 16, 8, 4, 2, 1), (82, 7))"
+  },
+  {
+   "control": "raised buffer entrance dropped 534",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 647, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "raised buffer entrance widened 534",
+   "rejected": true,
+   "reason": "frame not monotone (534, (256, 128, 64, 32, 16, 8, 4, 2, 1), (120, 7))"
+  },
+  {
+   "control": "wrong claimed profile",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 646, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "wrong claimed width inventory",
+   "rejected": true,
+   "reason": "width inventory mismatch {4: 26, 5: 9, 7: 62, 8: 78, 9: 240}"
+  }
+ ]
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-PRELIFE-43base.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-PRELIFE-43base.json
new file mode 100644
index 0000000000..eda31239d1
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-PRELIFE-43base.json
@@ -0,0 +1,477 @@
+{
+ "all_rejected_for_expected_reason": true,
+ "controls": [
+  {
+   "control": "unmutated",
+   "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD"
+  },
+  {
+   "control": "482<-273: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction read through neighbouring host 275 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (273, (80, 48, 2, 1), (388, 81, 48, 3))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (273, (388, 75, 41, 26), (388, 81, 48, 3))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (273, (388, 75, 41, 26), (388, 81, 48, 3))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (273, (256, 129, 64, 33, 17, 9, 5, 3), (388, 75, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction read through neighbouring host 289 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 9",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (275, (72, 40, 26, 1), (391, 72, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (275, (388, 75, 41, 26), (391, 72, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (275, (388, 75, 41, 26), (391, 72, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (275, (256, 130, 64, 32, 18, 8, 4, 1), (388, 75, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction read through neighbouring host 291 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (289, (136, 76, 50, 1), (273, 136, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (289, (273, 145, 85, 51), (273, 136, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (289, (273, 145, 85, 51), (273, 136, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (289, (256, 132, 64, 32, 16, 12, 2, 1), (273, 145, 85, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction read through neighbouring host 305 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (291, (144, 76, 50, 1), (264, 145, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (291, (273, 145, 85, 51), (264, 145, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (291, (273, 145, 85, 51), (264, 145, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (291, (256, 129, 64, 33, 16, 8, 4, 2), (273, 145, 85, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction read through neighbouring host 321 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (305, (76, 44, 30, 1), (391, 76, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (305, (385, 74, 44, 30), (391, 76, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (305, (385, 74, 44, 30), (391, 76, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (305, (256, 130, 64, 32, 18, 8, 4, 1), (385, 74, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction read through neighbouring host 273 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 9",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (321, (138, 96, 30, 1), (288, 138, 97, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (321, (266, 138, 75, 30), (288, 138, 97, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (321, (266, 138, 75, 30), (288, 138, 97, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (321, (256, 132, 64, 32, 16, 12, 2, 1), (266, 138, 75, 30))",
+   "expected_reason_match": true
+  }
+ ]
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-PRELIFE-43extra.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-PRELIFE-43extra.json
new file mode 100644
index 0000000000..eda31239d1
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/borrow-receipts/CONTROLS-PRELIFE-43extra.json
@@ -0,0 +1,477 @@
+{
+ "all_rejected_for_expected_reason": true,
+ "controls": [
+  {
+   "control": "unmutated",
+   "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD"
+  },
+  {
+   "control": "482<-273: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction read through neighbouring host 275 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (273, (80, 48, 2, 1), (388, 81, 48, 3))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (273, (388, 75, 41, 26), (388, 81, 48, 3))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (273, (388, 75, 41, 26), (388, 81, 48, 3))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (273, (256, 129, 64, 33, 17, 9, 5, 3), (388, 75, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction read through neighbouring host 289 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 9",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (275, (72, 40, 26, 1), (391, 72, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (275, (388, 75, 41, 26), (391, 72, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (275, (388, 75, 41, 26), (391, 72, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (275, (256, 130, 64, 32, 18, 8, 4, 1), (388, 75, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction read through neighbouring host 291 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (289, (136, 76, 50, 1), (273, 136, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (289, (273, 145, 85, 51), (273, 136, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (289, (273, 145, 85, 51), (273, 136, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (289, (256, 132, 64, 32, 16, 12, 2, 1), (273, 145, 85, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction read through neighbouring host 305 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (291, (144, 76, 50, 1), (264, 145, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (291, (273, 145, 85, 51), (264, 145, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (291, (273, 145, 85, 51), (264, 145, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (291, (256, 129, 64, 33, 16, 8, 4, 2), (273, 145, 85, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction read through neighbouring host 321 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (305, (76, 44, 30, 1), (391, 76, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (305, (385, 74, 44, 30), (391, 76, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (305, (385, 74, 44, 30), (391, 76, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (305, (256, 130, 64, 32, 18, 8, 4, 1), (385, 74, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction read through neighbouring host 273 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 9",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (321, (138, 96, 30, 1), (288, 138, 97, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (321, (266, 138, 75, 30), (288, 138, 97, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (321, (266, 138, 75, 30), (288, 138, 97, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (321, (256, 132, 64, 32, 16, 12, 2, 1), (266, 138, 75, 30))",
+   "expected_reason_match": true
+  }
+ ]
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/FOUR-GROUP-INDEPENDENT-REVIEW.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/FOUR-GROUP-INDEPENDENT-REVIEW.json
new file mode 100644
index 0000000000..d58ef36aaa
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/FOUR-GROUP-INDEPENDENT-REVIEW.json
@@ -0,0 +1,543 @@
+{
+  "status": "PASS_INDEPENDENT_FOUR_GROUP_REVIEW",
+  "variants": {
+    "base": {
+      "source_sha256": "dda9878455b3a3bec64ca16b1ac7789bbf5ffb603d5713b8df8644485e85b1b7",
+      "candidate_sha256": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458",
+      "positive_audit": {
+        "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+        "checked_columns": 632,
+        "orientations": {
+          "forward": "PASS",
+          "dual": "PASS"
+        },
+        "receipt_sha256": "82dfc660314dbdd337ca8c4892ad275311b903383ef606adfee34aa1ef290b59"
+      },
+      "inserted_A_gates": 20,
+      "compensation_removed": 28,
+      "compensation_added": 28,
+      "groups": [
+        {
+          "helpers": [
+            478,
+            479,
+            490,
+            491
+          ],
+          "source_A_positions": {
+            "478": 1303,
+            "479": 1304,
+            "490": 1315,
+            "491": 1316
+          },
+          "partners": {
+            "478": 526,
+            "479": 527,
+            "490": 538,
+            "491": 539
+          },
+          "raw_dirt_map": {
+            "479": "d479+d478",
+            "490": "d490-d478",
+            "491": "d491+d490-d478"
+          },
+          "target_support": [
+            127,
+            154,
+            165,
+            217
+          ],
+          "operand_support": [
+            478,
+            479,
+            490,
+            491,
+            526,
+            527,
+            538,
+            539
+          ]
+        },
+        {
+          "helpers": [
+            460,
+            461,
+            468,
+            469
+          ],
+          "source_A_positions": {
+            "460": 1327,
+            "461": 1328,
+            "468": 1307,
+            "469": 1308
+          },
+          "partners": {
+            "460": 522,
+            "461": 523,
+            "468": 536,
+            "469": 537
+          },
+          "raw_dirt_map": {
+            "461": "d461+d460",
+            "468": "d468-d460",
+            "469": "d469+d468-d460"
+          },
+          "target_support": [
+            115,
+            120,
+            138,
+            178,
+            179,
+            192,
+            200,
+            207
+          ],
+          "operand_support": [
+            460,
+            461,
+            468,
+            469,
+            522,
+            523,
+            536,
+            537
+          ]
+        },
+        {
+          "helpers": [
+            462,
+            463,
+            470,
+            471
+          ],
+          "source_A_positions": {
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+            "463": 1326,
+            "470": 1301,
+            "471": 1302
+          },
+          "partners": {
+            "462": 534,
+            "463": 535,
+            "470": 524,
+            "471": 525
+          },
+          "raw_dirt_map": {
+            "463": "d463+d462",
+            "470": "d470-d462",
+            "471": "d471+d470-d462"
+          },
+          "target_support": [
+            116,
+            117,
+            176,
+            177,
+            180,
+            181,
+            208,
+            209
+          ],
+          "operand_support": [
+            462,
+            463,
+            470,
+            471,
+            524,
+            525,
+            534,
+            535
+          ]
+        },
+        {
+          "helpers": [
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+            481,
+            492,
+            493
+          ],
+          "source_A_positions": {
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+            "481": 1310,
+            "492": 1319,
+            "493": 1320
+          },
+          "partners": {
+            "480": 540,
+            "481": 541,
+            "492": 528,
+            "493": 529
+          },
+          "raw_dirt_map": {
+            "481": "d481+d480",
+            "492": "d492-d480",
+            "493": "d493+d492-d480"
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+          "target_support": [
+            125,
+            128,
+            155,
+            156,
+            163,
+            190,
+            193,
+            199
+          ],
+          "operand_support": [
+            480,
+            481,
+            492,
+            493,
+            528,
+            529,
+            540,
+            541
+          ]
+        }
+      ],
+      "all_four_operand_and_target_supports_disjoint": true,
+      "all_other_sections_unchanged": true,
+      "controls": [
+        {
+          "name": "wrong_kernel_sign",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 3"
+        },
+        {
+          "name": "drop_primary_A_injection",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 14"
+        },
+        {
+          "name": "missing_raw_dirt_reconstruction",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 14"
+        },
+        {
+          "name": "missing_compensation_regeneration",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 3"
+        },
+        {
+          "name": "wrong_compensation_sign",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 14"
+        },
+        {
+          "name": "wrong_start_extra",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "frame",
+          "frames_profile_pass": false,
+          "rejected_for": "RuntimeError: frame not monotone (478, (75,), (25,))"
+        },
+        {
+          "name": "suppressed_compensation_without_transport",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 3"
+        },
+        {
+          "name": "stale_cleanup",
+          "cleanup_rederived": false,
+          "expected_failure_kind": "cleanup",
+          "frames_profile_pass": false,
+          "rejected_for": "RuntimeError: explicit cleanup differs from derived inverse-reverse at FULL"
+        }
+      ]
+    },
+    "extra": {
+      "source_sha256": "bbe6bcba59e45e827a8e932ee4b23650d56ed4a0b8e0875c14f23c36b9e47eac",
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+        "orientations": {
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+          "dual": "PASS"
+        },
+        "receipt_sha256": "52b579b58588a2b359eb918a07c961af183da4c34fb5b5f947251867b2d12143"
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+      "compensation_added": 28,
+      "groups": [
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+            479,
+            490,
+            491
+          ],
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+            "491": 1316
+          },
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+            "479": 527,
+            "490": 538,
+            "491": 539
+          },
+          "raw_dirt_map": {
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+            "490": "d490-d478",
+            "491": "d491+d490-d478"
+          },
+          "target_support": [
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+            154,
+            165,
+            217
+          ],
+          "operand_support": [
+            478,
+            479,
+            490,
+            491,
+            526,
+            527,
+            538,
+            539
+          ]
+        },
+        {
+          "helpers": [
+            460,
+            461,
+            468,
+            469
+          ],
+          "source_A_positions": {
+            "460": 1327,
+            "461": 1328,
+            "468": 1307,
+            "469": 1308
+          },
+          "partners": {
+            "460": 522,
+            "461": 523,
+            "468": 536,
+            "469": 537
+          },
+          "raw_dirt_map": {
+            "461": "d461+d460",
+            "468": "d468-d460",
+            "469": "d469+d468-d460"
+          },
+          "target_support": [
+            115,
+            120,
+            138,
+            178,
+            179,
+            192,
+            200,
+            207
+          ],
+          "operand_support": [
+            460,
+            461,
+            468,
+            469,
+            522,
+            523,
+            536,
+            537
+          ]
+        },
+        {
+          "helpers": [
+            462,
+            463,
+            470,
+            471
+          ],
+          "source_A_positions": {
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+            "463": 1326,
+            "470": 1301,
+            "471": 1302
+          },
+          "partners": {
+            "462": 534,
+            "463": 535,
+            "470": 524,
+            "471": 525
+          },
+          "raw_dirt_map": {
+            "463": "d463+d462",
+            "470": "d470-d462",
+            "471": "d471+d470-d462"
+          },
+          "target_support": [
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+            117,
+            176,
+            177,
+            180,
+            181,
+            208,
+            209
+          ],
+          "operand_support": [
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+            524,
+            525,
+            534,
+            535
+          ]
+        },
+        {
+          "helpers": [
+            480,
+            481,
+            492,
+            493
+          ],
+          "source_A_positions": {
+            "480": 1309,
+            "481": 1310,
+            "492": 1319,
+            "493": 1320
+          },
+          "partners": {
+            "480": 540,
+            "481": 541,
+            "492": 528,
+            "493": 529
+          },
+          "raw_dirt_map": {
+            "481": "d481+d480",
+            "492": "d492-d480",
+            "493": "d493+d492-d480"
+          },
+          "target_support": [
+            125,
+            128,
+            155,
+            156,
+            163,
+            190,
+            193,
+            199
+          ],
+          "operand_support": [
+            480,
+            481,
+            492,
+            493,
+            528,
+            529,
+            540,
+            541
+          ]
+        }
+      ],
+      "all_four_operand_and_target_supports_disjoint": true,
+      "all_other_sections_unchanged": true,
+      "controls": [
+        {
+          "name": "wrong_kernel_sign",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 3"
+        },
+        {
+          "name": "drop_primary_A_injection",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 14"
+        },
+        {
+          "name": "missing_raw_dirt_reconstruction",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 14"
+        },
+        {
+          "name": "missing_compensation_regeneration",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 3"
+        },
+        {
+          "name": "wrong_compensation_sign",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 14"
+        },
+        {
+          "name": "wrong_start_extra",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "frame",
+          "frames_profile_pass": false,
+          "rejected_for": "RuntimeError: frame not monotone (478, (75,), (25,))"
+        },
+        {
+          "name": "suppressed_compensation_without_transport",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 3"
+        },
+        {
+          "name": "stale_cleanup",
+          "cleanup_rederived": false,
+          "expected_failure_kind": "cleanup",
+          "frames_profile_pass": false,
+          "rejected_for": "RuntimeError: explicit cleanup differs from derived inverse-reverse at FULL"
+        }
+      ]
+    }
+  },
+  "source_authentication": {
+    "pins": {
+      "source_base": "dda9878455b3a3bec64ca16b1ac7789bbf5ffb603d5713b8df8644485e85b1b7",
+      "source_extra": "bbe6bcba59e45e827a8e932ee4b23650d56ed4a0b8e0875c14f23c36b9e47eac",
+      "word_patch": "9b3287f189c4f29c1a8bdb1ba01fdcfe14a57d87b50fa4f2f646fb2346ab01ce",
+      "audit_local": "a38940094f7d19cd6376aafdd4734fa68eabc9aff4c98c3c4a3e9540328b1c90"
+    },
+    "before": {
+      "source_base": "dda9878455b3a3bec64ca16b1ac7789bbf5ffb603d5713b8df8644485e85b1b7",
+      "source_extra": "bbe6bcba59e45e827a8e932ee4b23650d56ed4a0b8e0875c14f23c36b9e47eac",
+      "word_patch": "9b3287f189c4f29c1a8bdb1ba01fdcfe14a57d87b50fa4f2f646fb2346ab01ce",
+      "audit_local": "a38940094f7d19cd6376aafdd4734fa68eabc9aff4c98c3c4a3e9540328b1c90",
+      "candidate_base": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458",
+      "candidate_extra": "bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546"
+    },
+    "after": {
+      "source_base": "dda9878455b3a3bec64ca16b1ac7789bbf5ffb603d5713b8df8644485e85b1b7",
+      "source_extra": "bbe6bcba59e45e827a8e932ee4b23650d56ed4a0b8e0875c14f23c36b9e47eac",
+      "word_patch": "9b3287f189c4f29c1a8bdb1ba01fdcfe14a57d87b50fa4f2f646fb2346ab01ce",
+      "audit_local": "a38940094f7d19cd6376aafdd4734fa68eabc9aff4c98c3c4a3e9540328b1c90",
+      "candidate_base": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458",
+      "candidate_extra": "bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546"
+    },
+    "all_protected_files_unchanged": true,
+    "source_tree_before_sha256": "d4206d5b136526dbbedc1d3dabcae27e3c960fda8713491b3acdc7f89157adc6",
+    "source_tree_after_sha256": "d4206d5b136526dbbedc1d3dabcae27e3c960fda8713491b3acdc7f89157adc6",
+    "source_tree_files": 87,
+    "source_tree_unchanged": true,
+    "reviewer_sha256": "5b323e50fb5a10ac088472b3e085b54d7d2ae3a29f8552ff44b788a984eb97d1"
+  }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-base.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-base.json
new file mode 100644
index 0000000000..aae758a950
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-base.json
@@ -0,0 +1,40 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "BORROW-WORD-43base.json.gz",
+  "content_sha256": "fd073806137fdd0b2e74f7075c7079304797227011c30147341328b928a8840c",
+  "compressed_sha256": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 72,
+  "independent_inputs": 632,
+  "warps": 72,
+  "corrections": 36,
+  "restored_cold": 72,
+  "zero_buffers": 72,
+  "entering": 132,
+  "local_profile": {
+    "1": 2394,
+    "2": 642,
+    "3": 266,
+    "4": 128,
+    "5": 26,
+    "8": 8
+  },
+  "local_mass": 5182,
+  "width_inventory": {
+    "4": 26,
+    "5": 2,
+    "7": 62,
+    "8": 84,
+    "9": 234
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": null,
+  "checked_columns": 632,
+  "elapsed_seconds": 0.7178068560006068,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-extra.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-extra.json
new file mode 100644
index 0000000000..d8d8330b23
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-extra.json
@@ -0,0 +1,40 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "BORROW-WORD-43extra.json.gz",
+  "content_sha256": "d61a8077a8bb60b5e36b742fca6c04df21a701b09ef432600ec62462caaa8f6d",
+  "compressed_sha256": "bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 72,
+  "independent_inputs": 632,
+  "warps": 72,
+  "corrections": 36,
+  "restored_cold": 72,
+  "zero_buffers": 72,
+  "entering": 132,
+  "local_profile": {
+    "1": 2394,
+    "2": 642,
+    "3": 266,
+    "4": 128,
+    "5": 26,
+    "8": 8
+  },
+  "local_mass": 5182,
+  "width_inventory": {
+    "4": 26,
+    "5": 2,
+    "7": 62,
+    "8": 84,
+    "9": 234
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": null,
+  "checked_columns": 632,
+  "elapsed_seconds": 0.7269703500005562,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/ADMISSION-CONTROLS.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/ADMISSION-CONTROLS.json
new file mode 100644
index 0000000000..340a330ace
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/ADMISSION-CONTROLS.json
@@ -0,0 +1,152 @@
+{
+  "status": "PASS_EXACT_MIXED_048_ALLCOLD_NATIVE_ASSEMBLY_ADMISSION_NEGATIVE_CONTROLS",
+  "valid_receipt_kappa": "1717142976839401/1000000000000000000",
+  "input_sha256": {
+    "owner_audit": "32e9afb0c2fc0e03cbf583a7db1d570e3d64565b183db65ff389c8c2c96a9a4a",
+    "fresh_invoice": "1902e674f2dc2d80f7d525f347b3ec0bbaccea70c28de27ac5dafcd275b4fd78",
+    "package:inputs/PR589-EXPECTED.json": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4",
+    "engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482",
+    "engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098",
+    "engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c"
+  },
+  "assembler_sha256": "4e7b5ddd11b23c92ab26bc0c80884ed64a2d45e9247b5f52bc03f27fa83dbee0",
+  "rejected_controls": [
+    "empty_certification_maps",
+    "failed_invoice_status",
+    "nonboolean_precision_check",
+    "wrong_owner_role_count",
+    "understated_physical_stock",
+    "changed_profile_same_rank_mass",
+    "insufficient_finite_C0",
+    "missing_finite_check",
+    "wrong_reflected_orientation_selfconsistent_totals",
+    "missing_selected_call",
+    "wrong_selected_primitive_sum",
+    "wrong_selected_coefficient_work_sum",
+    "unpaid_wrapper_factors",
+    "wrong_global_compiler",
+    "wrong_global_adapter_maximum",
+    "understated_exact_prefix_and_global_sum",
+    "wrong_global_prefix_sum",
+    "missing_blocknorm",
+    "understated_active_depth",
+    "understated_full_stock_norm",
+    "missing_partial_cover_margin",
+    "forged_helper_response",
+    "wrong_row_prefix_reserve",
+    "wrong_parent_geometry_charge",
+    "wrong_rebased_geometry_charge",
+    "wrong_complete_pervertex_envelope",
+    "wrong_prior_added_complete_invoice",
+    "wrong_finite_router_bits",
+    "wrong_finite_literal_bits",
+    "wrong_finite_physical_stock_bits",
+    "wrong_finite_row_coefficient",
+    "reordered_complete_calls",
+    "understated_explicit_idle_remainders",
+    "understated_actual_chart_types",
+    "wrong_cross_replica_role_count",
+    "old_no_cold_wrapper_counts_selfconsistent",
+    "extra:missing_provider",
+    "extra:missing_backward_orientation",
+    "extra:unpaid_scalar_primitive",
+    "extra:wrong_local_artifact_binding",
+    "extra:false_dirty_restoration",
+    "extra:wrong_declared_provider_count",
+    "extra:wrong_local_compiler",
+    "extra:wrong_local_adapter_charge",
+    "extra:wrong_local_primitive_bound",
+    "extra:forged_provider_and_call_program_hash",
+    "extra:provider_at_wrong_call",
+    "extra:stale_partner_program_consistent_call_hashes",
+    "extra:stale_partner_profile_consistent_child_total",
+    "extra:relocated_against_partner_same_counts",
+    "extra:compensating_false_profiles_with_gauge44",
+    "extra:synchronized_forged_source_recipe_hash",
+    "extra:synchronized_forged_phase_review_semantics",
+    "extra:width_order_swap_4_5",
+    "extra:width_inventory_shift_4_5",
+    "extra:width_order_swap_4_7",
+    "extra:width_inventory_shift_4_7",
+    "extra:width_order_swap_4_8",
+    "extra:width_inventory_shift_4_8",
+    "extra:width_order_swap_4_9",
+    "extra:width_inventory_shift_4_9",
+    "extra:width_order_swap_5_7",
+    "extra:width_inventory_shift_5_7",
+    "extra:width_order_swap_5_8",
+    "extra:width_inventory_shift_5_8",
+    "extra:width_order_swap_5_9",
+    "extra:width_inventory_shift_5_9",
+    "extra:width_order_swap_7_8",
+    "extra:width_inventory_shift_7_8",
+    "extra:width_order_swap_7_9",
+    "extra:width_inventory_shift_7_9",
+    "extra:width_order_swap_8_9",
+    "extra:width_inventory_shift_8_9",
+    "extra:cold_helper_width_swap_278",
+    "extra:cold_helper_width_swap_281",
+    "extra:cold_helper_width_swap_284",
+    "extra:cold_helper_width_swap_289",
+    "gauge44:missing_provider",
+    "gauge44:missing_backward_orientation",
+    "gauge44:unpaid_scalar_primitive",
+    "gauge44:wrong_local_artifact_binding",
+    "gauge44:false_dirty_restoration",
+    "gauge44:wrong_declared_provider_count",
+    "gauge44:wrong_local_compiler",
+    "gauge44:wrong_local_adapter_charge",
+    "gauge44:wrong_local_primitive_bound",
+    "gauge44:forged_provider_and_call_program_hash",
+    "gauge44:provider_at_wrong_call",
+    "gauge44:stale_partner_program_consistent_call_hashes",
+    "gauge44:stale_partner_profile_consistent_child_total",
+    "gauge44:relocated_against_partner_same_counts",
+    "gauge44:compensating_false_profiles_with_extra",
+    "gauge44:synchronized_forged_source_recipe_hash",
+    "gauge44:synchronized_forged_phase_review_semantics",
+    "gauge44:width_order_swap_4_5",
+    "gauge44:width_inventory_shift_4_5",
+    "gauge44:width_order_swap_4_7",
+    "gauge44:width_inventory_shift_4_7",
+    "gauge44:width_order_swap_4_8",
+    "gauge44:width_inventory_shift_4_8",
+    "gauge44:width_order_swap_4_9",
+    "gauge44:width_inventory_shift_4_9",
+    "gauge44:width_order_swap_5_7",
+    "gauge44:width_inventory_shift_5_7",
+    "gauge44:width_order_swap_5_8",
+    "gauge44:width_inventory_shift_5_8",
+    "gauge44:width_order_swap_5_9",
+    "gauge44:width_inventory_shift_5_9",
+    "gauge44:width_order_swap_7_8",
+    "gauge44:width_inventory_shift_7_8",
+    "gauge44:width_order_swap_7_9",
+    "gauge44:width_inventory_shift_7_9",
+    "gauge44:width_order_swap_8_9",
+    "gauge44:width_inventory_shift_8_9",
+    "gauge44:cold_helper_width_swap_278",
+    "gauge44:cold_helper_width_swap_281",
+    "gauge44:cold_helper_width_swap_284",
+    "gauge44:cold_helper_width_swap_289",
+    "wrong_owner_receipt_hash"
+  ],
+  "discovery_accepted_controls": [],
+  "exact_outer_controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "conservative_outer_controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "recurrence_model_controls": [
+    "native_complex_endpoint_rejected_with_old_surcharge",
+    "omitting_bit_surcharge_would_fail_next_endpoint_rejection"
+  ],
+  "scope": "Complete receipt schema; ordered widths and both reflected providers; exact program, work and paid-profile binding; independently recounted compiler, conservative envelope and finite inequalities. Does not replace fresh physical replay."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/ASSEMBLY.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/ASSEMBLY.json
new file mode 100644
index 0000000000..2be7d9314a
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/ASSEMBLY.json
@@ -0,0 +1,516 @@
+{
+  "status": "PASS_GAUGE44_NATIVE_EXACT_GLOBAL_ASSEMBLY",
+  "kappa": "1717142976839401/1000000000000000000",
+  "kappa_decimal": "0.001717142976839401",
+  "complex_lower": "430024157171208150243/250000000000000000000000",
+  "complex_decimal": "0.001720096628684832600972",
+  "bit_lower": "1733427039589844234749/1000000000000000000000000",
+  "bit_decimal": "0.001733427039589844234749",
+  "binding": "complex",
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+  "model_controls": [
+    "native_complex_endpoint_rejected_with_old_surcharge",
+    "omitting_bit_surcharge_would_fail_next_endpoint_rejection"
+  ],
+  "native_correction_gain": "2.933498E-12",
+  "template_sha256": "dfdc4fcd8c13b8413a9eb988df138d48c82902f5f353b1ecace701b668b1b77c",
+  "input_sha256": {
+    "owner_audit": "32e9afb0c2fc0e03cbf583a7db1d570e3d64565b183db65ff389c8c2c96a9a4a",
+    "fresh_invoice": "1902e674f2dc2d80f7d525f347b3ec0bbaccea70c28de27ac5dafcd275b4fd78",
+    "package:inputs/PR589-EXPECTED.json": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4",
+    "engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482",
+    "engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098",
+    "engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c"
+  },
+  "bit_supplier": {
+    "pr": 589,
+    "repository": "CrocSwap/integer-mult-bounds",
+    "commit": "a5afc8c6169ea61ba7c51dfd3cade02cc7b13b46",
+    "merged_as": "b3eb785ac5b4b1ca2beea0f80db078a505626a90",
+    "path": "research/e8-bit-p111-tuned/tune/EXPECTED.json",
+    "git_blob_sha1": "e293ddc557742637f9f679f083a1a282d87b1b13",
+    "word": {
+      "v": 111,
+      "decoder_constant": 63,
+      "copy_ranks": [
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7
+      ]
+    },
+    "derived_deficit": 10272,
+    "deficit_formula": "T(2Kv-L*cst), L=9 T=32 K=4 M=64",
+    "replay_scope": "Cited unchanged supplier; this assembly reprices its full profile and does not rebuild its bit circuit."
+  },
+  "moments": [
+    {
+      "side": "bit",
+      "surcharge": true,
+      "endpoint": "1733427039589844234749/1000000000000000000000000",
+      "accept": true,
+      "mercator": [
+        "-43100600330766044577088869872467188970742291/26959946667150639794667015087019630673637144422540572481103610249216",
+        "-43100600330766044577088869872467188970742289/26959946667150639794667015087019630673637144422540572481103610249216"
+      ],
+      "base_two": [
+        "-799345163337715793503/500000000000000000000000000000000000000000000",
+        "-3197378653350863173989/2000000000000000000000000000000000000000000000"
+      ]
+    },
+    {
+      "side": "bit",
+      "surcharge": true,
+      "endpoint": "6933708158359376939/4000000000000000000000",
+      "accept": false,
+      "mercator": [
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+        "5625733726418952328758833371341421518429637/3369993333393829974333376885877453834204643052817571560137951281152"
+      ],
+      "base_two": [
+        "8346798366759439729359/5000000000000000000000000000000000000000000000",
+        "16693606733518879458833/10000000000000000000000000000000000000000000000"
+      ]
+    },
+    {
+      "side": "complex",
+      "surcharge": false,
+      "endpoint": "430024157171208150243/250000000000000000000000",
+      "accept": true,
+      "mercator": [
+        "-33874851326767807868783257166386515308485767/13479973333575319897333507543509815336818572211270286240551805124608",
+        "-16937425663383903934391628583193257654242883/6739986666787659948666753771754907668409286105635143120275902562304"
+      ],
+      "base_two": [
+        "-2512977/1000000000000000000000000000000",
+        "-157061/62500000000000000000000000000"
+      ]
+    },
+    {
+      "side": "complex",
+      "surcharge": false,
+      "endpoint": "1720096628684832600973/1000000000000000000000000",
+      "accept": false,
+      "mercator": [
+        "9174323197029279978553736329873571507314391/26959946667150639794667015087019630673637144422540572481103610249216",
+        "9174323197029279978553736329873571507314393/26959946667150639794667015087019630673637144422540572481103610249216"
+      ],
+      "base_two": [
+        "170147/500000000000000000000000000000",
+        "68059/200000000000000000000000000000"
+      ]
+    }
+  ],
+  "bootstrap": [
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+      "exponent_numerator_sha256": "e58c3fc376125b6545b6c85959e2d7fb0fbff56c3422df898ce023282a4bca5d",
+      "gap_numerator_sha256": "3ca919d6cb9863e5ca8e9062fe1734e9622e6debe33260148e05398f5011a61d",
+      "log2C_bound_sha256": "1a1cf797fabe7f95836fabeca626907c77b3e6c9aff7c2290b396a238c69362e",
+      "cutoff_log2_power_of_two_exponent": 45,
+      "carry_bits_bit_length": 36
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+      "grid_bits": 164,
+      "exponent_numerator_sha256": "728063770913403e41bf1c6e06bebf29aac253ae5e154c4ffb27fa37f28f2998",
+      "gap_numerator_sha256": "66e37fee15b2e1a12982d44f336876c377a5d66a68fa8410358beead9b348835",
+      "log2C_bound_sha256": "29351b499db0b0d305fed251a9c30a09211e015bd3c8a4b9a939795ccb57a735",
+      "cutoff_log2_power_of_two_exponent": 66,
+      "carry_bits_bit_length": 48
+    },
+    {
+      "step": 2,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "9f35aa2d0e1a73974d566f1ab7d07ffe238a89306f5fc23a0e04b4d9657ccdb1",
+      "gap_numerator_sha256": "0db6e28de21002facb10c24a0085c0b600be1d71b9c10fdc6e599abe47371290",
+      "log2C_bound_sha256": "23159461278da3021d20575205f16abfeec8bede8ae3ccb53d8576f54a303ad4",
+      "cutoff_log2_power_of_two_exponent": 87,
+      "carry_bits_bit_length": 60
+    },
+    {
+      "step": 3,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "5e479da869fa4e93f1123afae195685c2fe5f07d7b34f4515e804833a29f29b9",
+      "gap_numerator_sha256": "acc77394c08c7007e42e879c83b3bcf551279b1a5ac8fb3d2e25dd970ab7cfb4",
+      "log2C_bound_sha256": "662177039e51c4741c31c605e0f92439b35d3ff6ed92f24458463ed0d7624365",
+      "cutoff_log2_power_of_two_exponent": 108,
+      "carry_bits_bit_length": 72
+    },
+    {
+      "step": 4,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "ac2d0d4dcac14dab81dc43b63cade67645e3415045e2f5f04f63965c42225f38",
+      "gap_numerator_sha256": "2020fb277df82b861df2a5016dfbea6fed31fd7e8b511bf13ef9817740edf593",
+      "log2C_bound_sha256": "8cf996b5f8e35020eac9a7cf616aaeea98c4edc99dd919a839a34d44929d696f",
+      "cutoff_log2_power_of_two_exponent": 130,
+      "carry_bits_bit_length": 85
+    },
+    {
+      "step": 5,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "1dab6ea5e6c474126e340a0e752312a432fbc41d1bb792a36e4371f40e4f1e01",
+      "gap_numerator_sha256": "cdcc9cecc849812ad27b8fc46f8da8ca22f580e9decfbaf197b702a41e7d0662",
+      "log2C_bound_sha256": "dce96b93a1582bd605db8f5ac547c5f18bbfe812eb9c00ffc4ff860ac14095cc",
+      "cutoff_log2_power_of_two_exponent": 152,
+      "carry_bits_bit_length": 97
+    },
+    {
+      "step": 6,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "18cfc143be56002cbfd338aa44d156004d11b26512dafbbe17e16fb9ba39c88c",
+      "gap_numerator_sha256": "95d6764ba07ec2130acd11ccdbfda17fb8f7a78463659b84ad627d342d36d84f",
+      "log2C_bound_sha256": "9cb5c4e87ed813cb4aad60f689b9d103ac731a640b7b8bb19320f27a6efabf1b",
+      "cutoff_log2_power_of_two_exponent": 173,
+      "carry_bits_bit_length": 109
+    },
+    {
+      "step": 7,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "9ca5652738ad26c4322f0de608dfe801387ba750861ee11d20b0abe928ecf2c8",
+      "gap_numerator_sha256": "a0760082df2ec49226b0457fad8ceac7e25545f6be07750d84b68cf5d272d506",
+      "log2C_bound_sha256": "eb8d6d67e13ff59a9f9155be3f0dd54b14f67384e524c1b026ff935c695c0a52",
+      "cutoff_log2_power_of_two_exponent": 194,
+      "carry_bits_bit_length": 121
+    },
+    {
+      "step": 8,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "58e0ca17267e6537cad827358804a73f0d914e725017967bf592e305f0bcbcd6",
+      "gap_numerator_sha256": "3c80aaa1ff946d31364d9cd042f40122678da3566908452ad5256a0213c6887c",
+      "log2C_bound_sha256": "7d84813a7fe07c97d83a70409757800fc40d4d4bcd4e64ca7d82e1c563264078",
+      "cutoff_log2_power_of_two_exponent": 215,
+      "carry_bits_bit_length": 133
+    },
+    {
+      "step": 9,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "de65cc0561431a831e1fe3f8e55e7dcc9c7868b545d3918c64a59210e1a3ddd2",
+      "gap_numerator_sha256": "3d2d898382c6b4cef9a628a07ec703cb618199bd8b1a94e419319efea5814a25",
+      "log2C_bound_sha256": "c15e2c62ff4e3dff10e4c531239c08c84a22803ad3c72dedb71c68e40b6843b4",
+      "cutoff_log2_power_of_two_exponent": 237,
+      "carry_bits_bit_length": 146
+    },
+    {
+      "step": 10,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "77e91ba8550c3022d6c3dff3061780d7514570bab9c0d810fd86f2ce67a110a7",
+      "gap_numerator_sha256": "bc5e8d76e12fe9de9ddeddfa30bb77a59d55e725568a63fef7b6925e03f6d1b1",
+      "log2C_bound_sha256": "316b1114386350a4e6820b60adf751df0b73a67f2bdbeb2bb36d4640df607a5d",
+      "cutoff_log2_power_of_two_exponent": 259,
+      "carry_bits_bit_length": 158
+    },
+    {
+      "step": 11,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "0eb3f36a90e74d3908ba17860a331bb1e0e41e5896e32e4521034f683b88a3eb",
+      "gap_numerator_sha256": "855312af72bdedd92cf332eb5ab275540a41ce7c90717d2bc1a640011d53ecb6",
+      "log2C_bound_sha256": "cc5617d1340e76012b7e40f7f4593bfb031db2c170f3128fa2d999ccb16395cb",
+      "cutoff_log2_power_of_two_exponent": 280,
+      "carry_bits_bit_length": 170
+    },
+    {
+      "control": "uncarried_cutoffs_fail_carry_rule",
+      "stages_checked": [
+        2,
+        3,
+        4,
+        5,
+        6,
+        7
+      ],
+      "all_rejected": true
+    }
+  ],
+  "outer": {
+    "bit_positive": "40222784627043983958650831917426123782788511221/23384026197294446691258957323460528314494920687616",
+    "complex_above_bit": "379127708857711940901787918915207147/1393796574908163946345982392040522594123776000000000000000000000000",
+    "complex_below_one_over32": "7382475842828791849757/250000000000000000000000",
+    "beta_positive": "1/10000000000000000000000000000",
+    "beta_below_one": "9999999999999999999999999999/10000000000000000000000000000",
+    "leaf_saving_above_bit": "5192355435360669574203934549699274970390852575066513563/51922968585348276285304963292200960000000000000000000000000000000000000000000000000000",
+    "q_positive": "201113923135219919793254159546907834286898572146349168082573876217211488779/116920130986472233456294786617302641572474603438080000000000000000000000000000",
+    "q_below_internal": "40222784627043983958650831917426123782788511221/116920130986472233456294786617302641572474603438080000000000000000000000000000",
+    "q_below_leaf": "3094370939074559478209499684851603991369160554489835181777747989/6968982874540819731729911960202612970618880000000000000000000000000000000000000000000000000000",
+    "c_positive": "201113923135219919793254162469911108948704408553718833515139915529076574731/116920130986472233456294786617302641572474603438080000000000000000000000000000",
+    "c_below_one": "116719017063337013536501532454832730463525899029526281166484860084470923425269/116920130986472233456294786617302641572474603438080000000000000000000000000000",
+    "q_below_reservations": "1/40000000000000000000000000000",
+    "lambda_above_tau": "40222784627043983958650831917426123782788511221/233840261972944466912589573234605283144949206876160000000000000000000000000000",
+    "lambda_above_sigma": "103829859257953448941536138935735283682416031221/233840261972944466912589573234605283144949206876160000000000000000000000000000",
+    "lambda_above_internal": "40222784627043983958650831917426123782788511221/233840261972944466912589573234605283144949206876160000000000000000000000000000",
+    "lambda_prime_above_lambda": "40222784627043983958650831917426123782788511221/233840261972944466912589573234605283144949206876160000000000000000000000000000",
+    "compact_leaf": "3094370939074559478209499684851603991369160554489835181777747989/6968982874540819731729911960202612970618880000000000000000000000000000000000000000000000000000",
+    "compact_reservations": "1/40000000000000000000000000000",
+    "lambda_prime_below_one": "201113923135219919793254159546907834286898572146349168082573876217211488779/116920130986472233456294786617302641572474603438080000000000000000000000000000",
+    "epsilon_positive": "116920130986472233456294786605610628473827380092450521338269735842752539656192/117121244909607453376088040776849549406761502010226349168082573876217211488779",
+    "epsilon_below_one": "201113923135219919793254171238920932934121917775827829812838033464671832587/117121244909607453376088040776849549406761502010226349168082573876217211488779",
+    "guard_width": "201113923135219919793254171238920932934121917775827829812838033464671832587/117121244909607453376088040776849549406761502010226349168082573876217211488779",
+    "K_geometry": "87891212162989395012014344125446892288304656987113718833515139915529076574731/1171212449096074533760880407768495494067615020102263491680825738762172114887790000000000000000000000000000",
+    "K_dominates_log": "2011139231352199197932541624497997166351824165743934172681488046342061338756281166484860084470923425269/1171212449096074533760880407768495494067615020102263491680825738762172114887790000000000000000000000000000",
+    "record_suffix": "201113923135219919793254171238920932934121917775827829812838033464671832587/117121244909607453376088040776849549406761502010226349168082573876217211488779",
+    "phase_local": "16089113850817593583460333581992429725122300045978185608177493270412244596733650831917426123782788511221/9369699592768596270087043262147963952540920160818107933446605910097376919102320000000000000000000000000000",
+    "phase_boundary": "3217822770163518716692066622701490017338497308325204500155859128673247311165650831917426123782788511221/1873939918553719254017408652429592790508184032163621586689321182019475383820464000000000000000000000000000",
+    "gamma_sublinear": "1/20000000000000000000000000000",
+    "cell_above_band": "2338402619729444669125895731995091324566940148472922385988545167448289291113613650831917426123782788511221/4684849796384298135043521631073981976270460080409053966723302955048688459551160000000000000000000000000000",
+    "prime_interval_packing": "201113923135219919793254171238920932934121917775827829812838033464671832587/117121244909607453376088040776849549406761502010226349168082573876217211488779",
+    "alpha_positive": "4022278462704398395865083307657173749074984979428515819407211262531934641513650831917426123782788511221/2342424898192149067521760815536990988135230040204526983361651477524344229775580000000000000000000000000000",
+    "alpha_below_one": "2338402619729444669125895732229333814386155055225098467542244266261812295134066349168082573876217211488779/2342424898192149067521760815536990988135230040204526983361651477524344229775580000000000000000000000000000",
+    "alpha_below_one_fourth": "581583946085332868484575120576590573284732525071703230021005658118554122802381349168082573876217211488779/2342424898192149067521760815536990988135230040204526983361651477524344229775580000000000000000000000000000",
+    "delta_positive": "1/80000000000000000000000000000",
+    "delta_below_one_eighth": "9999999999999999999999999999/80000000000000000000000000000",
+    "short_record_fallback": "2729352463369514493329374212195241117627101274225550686152127796738018094940737180167981126902966911436949615502726442515029113/2738766259225999549772662751761936969203660592387979141751402184127619159940593968232886663988011548506410363567606597748260864",
+    "small_field_exposure": "1/10000000000000000000000000000",
+    "artificial_boundary": "65603986263230991484192763169086225077149993239277085882841817061579096686353879047504247721628651634466337/9369699592768596270087043262147963952540920160818107933446605910097376919102320000000000000000000000000000",
+    "literal_scalar_guard": "1",
+    "row_product_gap": "23971789/25",
+    "balanced_prefix_above_kappa": "36212887699690010468245408149070172762619855590627086673834466033792803418621/117121244909607453376088040776849549406761502010226349168082573876217211488779000000000000000000",
+    "coordinate_movement_above_kappa": "263474548840559558540027257052068855416672694655397394861/89202980794122492566142873090593446023921664000000000000000000",
+    "compact_phase_layer_above_kappa": "362128876879778859772846628114613686849349006499509364728118311169845460309992788511221/1171212449096074533760880407768495494067615020102263491680825738762172114887790000000000000000000000000000",
+    "bulk_exposure_above_kappa": "263474548840559558540027257052068855416672694655397394861/89202980794122492566142873090593446023921664000000000000000000",
+    "Gaussian_arithmetic_above_kappa": "579406203077918922582319077009034723425068140043271884771125107372602280821718788511221/1873939918553719254017408652429592790508184032163621586689321182019475383820464000000000000000000000000000",
+    "scalar_work_above_kappa": "2897031015858079592550025198549525780232738897843405431896530933535341699613462788511221/9369699592768596270087043262147963952540920160818107933446605910097376919102320000000000000000000000000000",
+    "dimension_above_kappa": "116719017063337013572714420134061718009138666323744866271076753399914954497439466033792803418621/117121244909607453376088040776849549406761502010226349168082573876217211488779000000000000000000"
+  },
+  "controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "scope": "Conditional R480 seven-slot k8 construction with a source-bound replica count. The owner map attains the fixed-inventory bin bound. The full conservative invoice, native moment correction, PR589 bit surcharge and 47 outer inequalities are checked. Local admission and all-size/compiler, mutable-source, whole-call hosting, precision/tape, exact-recovery, analytic-transfer and bit H1-H5 assumptions remain."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/BIT-CONTROLS.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/BIT-CONTROLS.json
new file mode 100644
index 0000000000..140997a21a
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/BIT-CONTROLS.json
@@ -0,0 +1,49 @@
+{
+  "status": "PASS_PR589_BIT_SUPPLIER_DERIVED_DEFICIT_NEGATIVE_CONTROLS",
+  "kappa": "0.001717142976839401",
+  "bit_lower": "1733427039589844234749/1000000000000000000000000",
+  "bit_decimal": "0.001733427039589844234749",
+  "binding": "complex",
+  "bit_supplier": {
+    "pr": 589,
+    "repository": "CrocSwap/integer-mult-bounds",
+    "commit": "a5afc8c6169ea61ba7c51dfd3cade02cc7b13b46",
+    "merged_as": "b3eb785ac5b4b1ca2beea0f80db078a505626a90",
+    "path": "research/e8-bit-p111-tuned/tune/EXPECTED.json",
+    "git_blob_sha1": "e293ddc557742637f9f679f083a1a282d87b1b13",
+    "word": {
+      "v": 111,
+      "decoder_constant": 63,
+      "copy_ranks": [
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7
+      ]
+    },
+    "derived_deficit": 10272,
+    "deficit_formula": "T(2Kv-L*cst), L=9 T=32 K=4 M=64",
+    "replay_scope": "Cited unchanged supplier; this assembly reprices its full profile and does not rebuild its bit circuit."
+  },
+  "derived_deficit": 10272,
+  "rejected_controls": [
+    "revert_hardcoded_9984",
+    "ports_112",
+    "decoder_constant_64_copy_ranks_unchanged",
+    "decoder_constant_64_with_one_copy_rank_8",
+    "eight_retained_totals",
+    "live_minus_one",
+    "profile_rank_mass_plus_one",
+    "profile_rank_mass_receipt_mismatch",
+    "bit_lower_next_grid",
+    "not_nine_stage_record",
+    "tampered_bytes_next_grid",
+    "pr543_file_under_pr589_pin"
+  ],
+  "assembler_sha256": "4e7b5ddd11b23c92ab26bc0c80884ed64a2d45e9247b5f52bc03f27fa83dbee0"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/INDEPENDENT.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/INDEPENDENT.json
new file mode 100644
index 0000000000..aa7152d242
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/INDEPENDENT.json
@@ -0,0 +1,211 @@
+{
+  "status": "PASS_INDEPENDENT_VARIABLE_T_LITERAL_WINDOWS_CHARTS_PREFIX_ROW",
+  "roles": 135864,
+  "calls": 333,
+  "source_events_per_replica": 30,
+  "expanded_replica_events": 1110,
+  "bridge_events": 333,
+  "literal_windows": 666,
+  "checked_whole_helper_widths": 135864,
+  "checked_busy_family_windows": 135864,
+  "orthogonal_port_bases": 112,
+  "actual_73_axis_charts": 6457,
+  "checked_slice_prefixes": 74592,
+  "local_profiles": {
+    "gauge44": {
+      "1": 2394,
+      "2": 642,
+      "4": 128,
+      "8": 8,
+      "3": 266,
+      "5": 26
+    },
+    "extra": {
+      "1": 2394,
+      "2": 642,
+      "4": 128,
+      "8": 8,
+      "3": 266,
+      "5": 26
+    }
+  },
+  "width_inventories": {
+    "gauge44": {
+      "9": 234,
+      "4": 26,
+      "8": 84,
+      "7": 62,
+      "5": 2
+    },
+    "extra": {
+      "9": 234,
+      "4": 26,
+      "8": 84,
+      "7": 62,
+      "5": 2
+    }
+  },
+  "idle": {
+    "1": 8658,
+    "3": 3197,
+    "5": 4440,
+    "9": 1,
+    "48": 13379
+  },
+  "profile": {
+    "1": 805860,
+    "2": 213786,
+    "3": 91775,
+    "4": 42624,
+    "5": 13098,
+    "8": 2664,
+    "9": 1,
+    "48": 13379
+  },
+  "live": 33152,
+  "physical": 33642,
+  "rank_mass": 2408256,
+  "deficit": 11840,
+  "namespace": {
+    "data": [
+      0,
+      33152
+    ],
+    "centres": [
+      33152,
+      33160
+    ],
+    "tableau": [
+      33160,
+      33568
+    ],
+    "zero_buffers": [
+      33568,
+      33640
+    ],
+    "coefficient": [
+      33640,
+      33642
+    ]
+  },
+  "local_prefix_bits": 70,
+  "local_prefix_from_native_receipt": true,
+  "local_profile_recounted": true,
+  "prefix_formula": {
+    "local_scalar": 70,
+    "input_l2": 37,
+    "invocations": 333,
+    "bridges": 333,
+    "active_block_depth": 18,
+    "stock_l2": 1322,
+    "partial_cover": 1,
+    "margin": 4
+  },
+  "blocknorm": {
+    "status": "PASS_TENSOR_BLOCK_NORM_CERTIFICATE",
+    "replicas": 37,
+    "physical_families": 33642,
+    "live_families": 33152,
+    "max_active_depth": 18,
+    "boundary_depth_bits": 18,
+    "stock_l2_bits": 1322,
+    "stocknorm_bits": 1322,
+    "physical_stock_bits": 2643,
+    "partial_cover_bits": 1,
+    "local_actual_prefix_bits": 70,
+    "local_reserve_bits": 128,
+    "input_l2_bits": 37,
+    "actual_prefix_bits": 1452,
+    "required_reserve_bits": 1510,
+    "retained_payload_bits": 2048,
+    "foreign_helper_roles_checked": 125185,
+    "endpoint_replay": {
+      "gauge44": {
+        "forward": {
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+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        },
+        "backward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        }
+      },
+      "extra": {
+        "forward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        },
+        "backward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        }
+      }
+    },
+    "scope": "Pre-emission finite premises only. Caller must retain exact source projection, actual phase/primitive audits, check_roles windows/charts and complete release."
+  },
+  "prefix_bits": 1452,
+  "charged_prefix_bits": 2048,
+  "physical_stock_bits": 2643,
+  "physical_row_coefficient": 19543,
+  "row_limit": 20161,
+  "scope": "Finite role/window/chart and inherited prefix/row obligations. Requires separately admitted local supplier and emitted controller, complete finite invoice, exact moments and outer assembly; no all-size theorem is asserted.",
+  "controls_rejected": [
+    {
+      "name": "private_namespace_collision",
+      "reason": "private-namespace collision"
+    },
+    {
+      "name": "copy_replica_alias",
+      "reason": "role invocation time"
+    },
+    {
+      "name": "missing_whole_helper",
+      "reason": "complete helper role count"
+    },
+    {
+      "name": "split_whole_helper",
+      "reason": "complete helper role count"
+    },
+    {
+      "name": "truncated_helper_width",
+      "reason": "whole-helper residual width"
+    },
+    {
+      "name": "cross_idle_boundary",
+      "reason": "strict bridge-aware idle window"
+    },
+    {
+      "name": "cross_child_pending_axis_alias",
+      "reason": "overlapping pending children on one family"
+    },
+    {
+      "name": "wrong_provider_at_changed_call",
+      "reason": "whole-helper residual width"
+    }
+  ],
+  "disjoint_pending_child_axis_checks": 2016,
+  "provider_counts": {
+    "extra": 208,
+    "gauge44": 125
+  },
+  "input_sha256": {
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/release/verify/parent/layout/packing74/candidate/PLAN.json": "7cce2b30d090164bae6f4c50cc7de10ff2766668b131eb751403c257799c34fc",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/release/verify/parent/layout/packing74/candidate/DISPATCH.json": "5513481a70c83767b5836b15fb7ff204d2a8f8fca83c6bcaee90a20b3d1ec6c4",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/release/verify/parent/layout/packing74/candidate/OWNERS.json.gz": "8b3461dfb0491b849ba6205c1328ebdf329b29fdf13f83fd817893e556f5568f",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/release/verify/parent/layout/demotions1148-round43/baseline-replay/parent/t16/global8/base/split-centres/GLOBAL-TEMPLATE.json.gz": "ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local/CANONICAL-WORD.json.gz": "3c6499ee5d98c3c7ba3aecc321f94cdda1d06a3e2e169c7fc3e3644958ab53dd",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/release/verify/parent/layout/packing74/native-extra/local/CANONICAL-WORD.json.gz": "20b343ff9f7e98111ab1318bb460d2988901500b48dbec211790efcd4ce7354d"
+  }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/RESULT.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/RESULT.json
new file mode 100644
index 0000000000..44c3b69ff2
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/RESULT.json
@@ -0,0 +1,267 @@
+{
+  "status": "PASS_STRICT_MIXED_T74_EXACT_FILL",
+  "kappa": "1717142976839401/1000000000000000000",
+  "kappa_decimal": "0.001717142976839401",
+  "steps": [
+    {
+      "name": "bind",
+      "seconds": 0.6296734520001337,
+      "exit_code": 0,
+      "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+    },
+    {
+      "name": "emit",
+      "seconds": 11.037326530999962,
+      "exit_code": 0,
+      "log_sha256": "0ff807a863044d012e87b15cea9f924bcfd6f37e81346c3fe9d835b51f72efa9"
+    },
+    {
+      "name": "audit",
+      "seconds": 28.204283129999567,
+      "exit_code": 0,
+      "log_sha256": "91134fa12a80c25733217ec17aa04fef1f59914719ad3209319b05da14d7f8d8"
+    },
+    {
+      "name": "invoice",
+      "seconds": 5.491765757000394,
+      "exit_code": 0,
+      "log_sha256": "a264c44dc692e071d8064806dbfd6eb2fc136428b79b1bec70430b8477c59aa5"
+    },
+    {
+      "name": "assembly",
+      "seconds": 0.6176223029997345,
+      "exit_code": 0,
+      "log_sha256": "5896c397dae627a2e9e994b5abccb30b30b34b343a9a84ae07e0b4435751075e"
+    },
+    {
+      "name": "admission",
+      "seconds": 1.6018816260002495,
+      "exit_code": 0,
+      "log_sha256": "ed18dce7229c1bdb4a487dad40c1f457e49127f6c92ad3f9ddc1978471e96996"
+    },
+    {
+      "name": "bit",
+      "seconds": 0.9556325899993681,
+      "exit_code": 0,
+      "log_sha256": "d54d260bf95bd8ae4ab8846314082b93b2e3d8f427eb35376691f2ce543a6b67"
+    },
+    {
+      "name": "independent",
+      "seconds": 8.5134017270002,
+      "exit_code": 0,
+      "log_sha256": "d2c176fb1b9778e4fb8b98b6272d5f713d676ea3fed84da20213eca036bb58fe"
+    }
+  ],
+  "independent": {
+    "status": "PASS_INDEPENDENT_VARIABLE_T_LITERAL_WINDOWS_CHARTS_PREFIX_ROW",
+    "roles": 135864,
+    "calls": 333,
+    "source_events_per_replica": 30,
+    "expanded_replica_events": 1110,
+    "bridge_events": 333,
+    "literal_windows": 666,
+    "checked_whole_helper_widths": 135864,
+    "checked_busy_family_windows": 135864,
+    "orthogonal_port_bases": 112,
+    "actual_73_axis_charts": 6457,
+    "checked_slice_prefixes": 74592,
+    "local_profiles": {
+      "gauge44": {
+        "1": 2394,
+        "2": 642,
+        "4": 128,
+        "8": 8,
+        "3": 266,
+        "5": 26
+      },
+      "extra": {
+        "1": 2394,
+        "2": 642,
+        "4": 128,
+        "8": 8,
+        "3": 266,
+        "5": 26
+      }
+    },
+    "width_inventories": {
+      "gauge44": {
+        "9": 234,
+        "4": 26,
+        "8": 84,
+        "7": 62,
+        "5": 2
+      },
+      "extra": {
+        "9": 234,
+        "4": 26,
+        "8": 84,
+        "7": 62,
+        "5": 2
+      }
+    },
+    "idle": {
+      "1": 8658,
+      "3": 3197,
+      "5": 4440,
+      "9": 1,
+      "48": 13379
+    },
+    "profile": {
+      "1": 805860,
+      "2": 213786,
+      "3": 91775,
+      "4": 42624,
+      "5": 13098,
+      "8": 2664,
+      "9": 1,
+      "48": 13379
+    },
+    "live": 33152,
+    "physical": 33642,
+    "rank_mass": 2408256,
+    "deficit": 11840,
+    "namespace": {
+      "data": [
+        0,
+        33152
+      ],
+      "centres": [
+        33152,
+        33160
+      ],
+      "tableau": [
+        33160,
+        33568
+      ],
+      "zero_buffers": [
+        33568,
+        33640
+      ],
+      "coefficient": [
+        33640,
+        33642
+      ]
+    },
+    "local_prefix_bits": 70,
+    "local_prefix_from_native_receipt": true,
+    "local_profile_recounted": true,
+    "prefix_formula": {
+      "local_scalar": 70,
+      "input_l2": 37,
+      "invocations": 333,
+      "bridges": 333,
+      "active_block_depth": 18,
+      "stock_l2": 1322,
+      "partial_cover": 1,
+      "margin": 4
+    },
+    "blocknorm": {
+      "status": "PASS_TENSOR_BLOCK_NORM_CERTIFICATE",
+      "replicas": 37,
+      "physical_families": 33642,
+      "live_families": 33152,
+      "max_active_depth": 18,
+      "boundary_depth_bits": 18,
+      "stock_l2_bits": 1322,
+      "stocknorm_bits": 1322,
+      "physical_stock_bits": 2643,
+      "partial_cover_bits": 1,
+      "local_actual_prefix_bits": 70,
+      "local_reserve_bits": 128,
+      "input_l2_bits": 37,
+      "actual_prefix_bits": 1452,
+      "required_reserve_bits": 1510,
+      "retained_payload_bits": 2048,
+      "foreign_helper_roles_checked": 125185,
+      "endpoint_replay": {
+        "gauge44": {
+          "forward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          },
+          "backward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          }
+        },
+        "extra": {
+          "forward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          },
+          "backward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          }
+        }
+      },
+      "scope": "Pre-emission finite premises only. Caller must retain exact source projection, actual phase/primitive audits, check_roles windows/charts and complete release."
+    },
+    "prefix_bits": 1452,
+    "charged_prefix_bits": 2048,
+    "physical_stock_bits": 2643,
+    "physical_row_coefficient": 19543,
+    "row_limit": 20161,
+    "scope": "Finite role/window/chart and inherited prefix/row obligations. Requires separately admitted local supplier and emitted controller, complete finite invoice, exact moments and outer assembly; no all-size theorem is asserted.",
+    "controls_rejected": [
+      {
+        "name": "private_namespace_collision",
+        "reason": "private-namespace collision"
+      },
+      {
+        "name": "copy_replica_alias",
+        "reason": "role invocation time"
+      },
+      {
+        "name": "missing_whole_helper",
+        "reason": "complete helper role count"
+      },
+      {
+        "name": "split_whole_helper",
+        "reason": "complete helper role count"
+      },
+      {
+        "name": "truncated_helper_width",
+        "reason": "whole-helper residual width"
+      },
+      {
+        "name": "cross_idle_boundary",
+        "reason": "strict bridge-aware idle window"
+      },
+      {
+        "name": "cross_child_pending_axis_alias",
+        "reason": "overlapping pending children on one family"
+      },
+      {
+        "name": "wrong_provider_at_changed_call",
+        "reason": "whole-helper residual width"
+      }
+    ],
+    "disjoint_pending_child_axis_checks": 2016,
+    "provider_counts": {
+      "extra": 208,
+      "gauge44": 125
+    },
+    "input_sha256": {
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/release/verify/parent/layout/packing74/candidate/PLAN.json": "7cce2b30d090164bae6f4c50cc7de10ff2766668b131eb751403c257799c34fc",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/release/verify/parent/layout/packing74/candidate/DISPATCH.json": "5513481a70c83767b5836b15fb7ff204d2a8f8fca83c6bcaee90a20b3d1ec6c4",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/release/verify/parent/layout/packing74/candidate/OWNERS.json.gz": "8b3461dfb0491b849ba6205c1328ebdf329b29fdf13f83fd817893e556f5568f",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/release/verify/parent/layout/demotions1148-round43/baseline-replay/parent/t16/global8/base/split-centres/GLOBAL-TEMPLATE.json.gz": "ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local/CANONICAL-WORD.json.gz": "3c6499ee5d98c3c7ba3aecc321f94cdda1d06a3e2e169c7fc3e3644958ab53dd",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/candidate/release/verify/parent/layout/packing74/native-extra/local/CANONICAL-WORD.json.gz": "20b343ff9f7e98111ab1318bb460d2988901500b48dbec211790efcd4ce7354d"
+    }
+  },
+  "scope": "Conditional finite construction only; unchanged exact-head PR1297 native providers explicitly reused; all inherited theorem obligations retained."
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/STAGES.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/STAGES.json
new file mode 100644
index 0000000000..f659870f6e
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/STAGES.json
@@ -0,0 +1,50 @@
+[
+  {
+    "name": "bind",
+    "seconds": 0.6296734520001337,
+    "exit_code": 0,
+    "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+  },
+  {
+    "name": "emit",
+    "seconds": 11.037326530999962,
+    "exit_code": 0,
+    "log_sha256": "0ff807a863044d012e87b15cea9f924bcfd6f37e81346c3fe9d835b51f72efa9"
+  },
+  {
+    "name": "audit",
+    "seconds": 28.204283129999567,
+    "exit_code": 0,
+    "log_sha256": "91134fa12a80c25733217ec17aa04fef1f59914719ad3209319b05da14d7f8d8"
+  },
+  {
+    "name": "invoice",
+    "seconds": 5.491765757000394,
+    "exit_code": 0,
+    "log_sha256": "a264c44dc692e071d8064806dbfd6eb2fc136428b79b1bec70430b8477c59aa5"
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diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/parent/complex-global/base/split-centres/CLIFFORD-RECIPES.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/parent/complex-global/base/split-centres/CLIFFORD-RECIPES.json
new file mode 100644
index 0000000000..526192f505
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/parent/complex-global/base/split-centres/CLIFFORD-RECIPES.json
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+  "negative_controls_rejected": [
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+    "wrong_child_rank",
+    "missing_pre_wrapper",
+    "missing_post_wrapper",
+    "wrapper_with_wrong_frame",
+    "wrapper_in_wrong_phase",
+    "wrapper_on_a_data_register",
+    "wrapper_on_a_target_register",
+    "wrapper_on_a_centre_register"
+  ],
+  "scope": "Literal forward and inverse-transpose replay on every arbitrary data/helper column, physical frame incidence, ordered paid wrappers, cleared private work and prefix coefficients. Global hosting and outer exponent are separate."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/parent/complex-global/base/split-centres/INDEPENDENT-REPLAY.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/parent/complex-global/base/split-centres/INDEPENDENT-REPLAY.json
new file mode 100644
index 0000000000..c2e057a3ab
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/parent/complex-global/base/split-centres/INDEPENDENT-REPLAY.json
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+{
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+      "prefix_bits_upper": 37,
+      "charged_payload_bits": 192,
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+    "backward": {
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+      "prefix_l1_upper": "1044730572396",
+      "prefix_bits_upper": 40,
+      "charged_payload_bits": 192,
+      "private_work_erased": true
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+    "wrong_child_rank",
+    "missing_pre_wrapper",
+    "missing_post_wrapper",
+    "wrapper_with_wrong_frame",
+    "wrapper_in_wrong_phase",
+    "wrapper_on_a_data_register",
+    "wrapper_on_a_target_register",
+    "wrapper_on_a_centre_register"
+  ],
+  "scope": "Literal forward and inverse-transpose replay on every arbitrary data/helper column, physical frame incidence, ordered paid wrappers, cleared private work and prefix coefficients. Global hosting and outer exponent are separate."
+}
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new file mode 100644
index 0000000000..ba436009d7
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/parent/complex-global/base/split-centres/INTEGRATION.json
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new file mode 100644
index 0000000000..2b019f86cd
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diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/parent/complex-global/base/split-centres/RESIDUAL-ADAPTERS.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/parent/complex-global/base/split-centres/RESIDUAL-ADAPTERS.json
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index 0000000000..2a81814dca
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new file mode 100644
index 0000000000..089f202be8
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new file mode 100644
index 0000000000..5efe2efe55
--- /dev/null
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diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json
new file mode 100644
index 0000000000..d9a4f84211
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json
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diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/runtime/construction/leaver/PIVOT-SWAP-k8.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/runtime/construction/leaver/PIVOT-SWAP-k8.json
new file mode 100644
index 0000000000..7a8edeb1e4
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/runtime/construction/leaver/PIVOT-SWAP-k8.json
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diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/runtime/data/SPEC.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/candidate/release/verify/strict/runtime/data/SPEC.json
new file mode 100644
index 0000000000..2ff4bcae2c
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diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/native/ENVIRONMENT.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/native/ENVIRONMENT.json
new file mode 100644
index 0000000000..f626dc3972
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/native/ENVIRONMENT.json
@@ -0,0 +1,13 @@
+{
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+    "numpy": "2.4.5",
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+  "executable": "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+  "python": "3.12.14"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/native/NATIVE-RECEIPT.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/native/NATIVE-RECEIPT.json
new file mode 100644
index 0000000000..5baad2d7d3
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/native/NATIVE-RECEIPT.json
@@ -0,0 +1,113 @@
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+  "reused_retained_parent": true,
+  "source_commit": "shared-four-kernel-pr2833",
+  "status": "PASS_COMPOSED_FRESH_NATIVE_PROVIDERS_AND_AUTHENTICATED_CACHE"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/native/RESULT.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/native/RESULT.json
new file mode 100644
index 0000000000..c494dca9bd
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/native/RESULT.json
@@ -0,0 +1,41 @@
+{
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+  "native_receipt_sha256": "abfcf708140df4cd91b6c81a4f7610bf128eb81baf6e5c97e9b90bf625b9b978",
+  "preparer_sha256": "9d86bf49f6aec1d4f671a5d060815e97cb470151221a29fba736e91f06c74b07",
+  "scope": "Fresh changed base/extra native chains; two unchanged retained native chains and16-stage parent admission explicitly reused by exact full-tree receipts. No owner/controller/outer admission yet.",
+  "seconds": 78.34286020300033,
+  "source_manifest_sha256": "54dc42f25c1d8b85adcf593c4bf6c0f83f7351388af857812790b8a0b4c3d869",
+  "stages": [
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+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source/new/fastnative/run_native.py",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source/new/borrow/words/BORROW-WORD-43base.json.gz",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/fresh-base"
+      ],
+      "exit_code": 0,
+      "log_sha256": "b29f66f4963a51232b109dda54dd3da2a26ec681a449cc84d7c2c4fb651c4e32",
+      "name": "fresh-current-base",
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+      "seconds": 78.22679489800021
+    },
+    {
+      "command": [
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+        "-B",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source/new/fastnative/run_native.py",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source/new/borrow/words/BORROW-WORD-43extra.json.gz",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/fresh-extra"
+      ],
+      "exit_code": 0,
+      "log_sha256": "d1e2835281ea5519202b44b082f01ec020b48b442354a940e49f9a778b21c833",
+      "name": "fresh-current-extra",
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+      "seconds": 67.77239033000023
+    }
+  ],
+  "status": "PASS_TWO_FRESH_SHARED_KERNEL_NATIVE_CHAINS_AUTHENTICATED_PARENT_REUSE"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/native/STAGES.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/native/STAGES.json
new file mode 100644
index 0000000000..3976d0ec24
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/native/STAGES.json
@@ -0,0 +1,32 @@
+[
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source/new/fastnative/run_native.py",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source/new/borrow/words/BORROW-WORD-43base.json.gz",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/fresh-base"
+    ],
+    "exit_code": 0,
+    "log_sha256": "b29f66f4963a51232b109dda54dd3da2a26ec681a449cc84d7c2c4fb651c4e32",
+    "name": "fresh-current-base",
+    "result_sha256": "1c3e4acfb6d718084b668fa546447d991657ecee5be2dd277736d3cc688eded1",
+    "script_sha256": "a7bfe110fe5098f6ef8bde3c43ecf15e8d1e06149abf7321a4c945383dcc2627",
+    "seconds": 78.22679489800021
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source/new/fastnative/run_native.py",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/source/new/borrow/words/BORROW-WORD-43extra.json.gz",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/fresh-extra"
+    ],
+    "exit_code": 0,
+    "log_sha256": "d1e2835281ea5519202b44b082f01ec020b48b442354a940e49f9a778b21c833",
+    "name": "fresh-current-extra",
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+    "seconds": 67.77239033000023
+  }
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diff --git a/research/shared-kernel-pair-concentration/evidence/baseline-pinned/source-DERIVATION.json b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/source-DERIVATION.json
new file mode 100644
index 0000000000..458221c714
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/baseline-pinned/source-DERIVATION.json
@@ -0,0 +1,764 @@
+{
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+  "changes": {
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+      "before_sha256": "3666edf67d61b01336e58166ec9edebd72902cc37a2da693b05691ab2a387cda"
+    },
+    "new/borrow/inputs/PR2833-WORD-base.json.gz": {
+      "after_sha256": "dda9878455b3a3bec64ca16b1ac7789bbf5ffb603d5713b8df8644485e85b1b7",
+      "before_sha256": null
+    },
+    "new/borrow/inputs/PR2833-WORD-extra.json.gz": {
+      "after_sha256": "bbe6bcba59e45e827a8e932ee4b23650d56ed4a0b8e0875c14f23c36b9e47eac",
+      "before_sha256": null
+    },
+    "new/borrow/inputs/shared_kernel_43base.json": {
+      "after_sha256": "d06f52975d4d48523177fd3010f9b6d36094636b3d31b90c492404a9c21ef6e3",
+      "before_sha256": null
+    },
+    "new/borrow/inputs/shared_kernel_43extra.json": {
+      "after_sha256": "79a3d0309ee1154f778f05592ac09f51db64286828456f8c1fca22c1c8b05af2",
+      "before_sha256": null
+    },
+    "new/borrow/shared_kernel.py": {
+      "after_sha256": "b3241527e6c136dc4b54975ef401c49d452bd6159fb99030accaf095c8fbd3ed",
+      "before_sha256": null
+    },
+    "new/borrow/shared_kernel_review.py": {
+      "after_sha256": "5b323e50fb5a10ac088472b3e085b54d7d2ae3a29f8552ff44b788a984eb97d1",
+      "before_sha256": null
+    },
+    "new/borrow/words/BORROW-WORD-43base.json.gz": {
+      "after_sha256": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458",
+      "before_sha256": "dda9878455b3a3bec64ca16b1ac7789bbf5ffb603d5713b8df8644485e85b1b7"
+    },
+    "new/borrow/words/BORROW-WORD-43extra.json.gz": {
+      "after_sha256": "bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546",
+      "before_sha256": "bbe6bcba59e45e827a8e932ee4b23650d56ed4a0b8e0875c14f23c36b9e47eac"
+    },
+    "new/rebuild_borrow.py": {
+      "after_sha256": "97bd36b840501dd125d4d660750b8b7bc6550bba0150b7d2851c8a41668a8a6d",
+      "before_sha256": "a65079e5ea9553a150879898b5ab9cecb01c1be19247c20461c97211988c1ef3"
+    },
+    "verify.py": {
+      "after_sha256": "1591a3eed02d3532e46183543bd2ddc7129c079a5fd70f1e6b4d9bc897153e92",
+      "before_sha256": "c52149ed10c0cae4950c92cef0edc38f382c5cc74cf66c5eeeebb7191b4bc0a0"
+    }
+  },
+  "derived_manifest_sha256": "54dc42f25c1d8b85adcf593c4bf6c0f83f7351388af857812790b8a0b4c3d869",
+  "patches": [
+    {
+      "after_sha256": "97bd36b840501dd125d4d660750b8b7bc6550bba0150b7d2851c8a41668a8a6d",
+      "before_sha256": "a65079e5ea9553a150879898b5ab9cecb01c1be19247c20461c97211988c1ef3",
+      "new": "    # Four disjoint staged compensation kernels, after the complete pinned\n    # PR2833 derivation. Every previous state stays in the audit chain.\n    sf_=D/'inputs'/f'shared_kernel_43{wt}.json'\n    if sf_.exists():\n        import shared_kernel\n        shared_patch=json.loads(sf_.read_text());previous_shared=chain[-1]\n        canonical=lambda z:hashlib.sha256(json.dumps(z,sort_keys=True,separators=(',',':')).encode()).hexdigest()\n        assert shared_patch['groups']==[478,460,462,480]\n        assert canonical(previous_shared)==shared_patch['source_canonical_sha256']\n        shared_word,shared_ledger=shared_kernel.apply(previous_shared,shared_patch['groups'])\n        assert canonical(shared_word)==shared_patch['candidate_canonical_sha256']\n        assert json.loads(json.dumps(shared_ledger))==shared_patch['ledger']\n        assert set(k_ for k_ in previous_shared if previous_shared[k_]!=shared_word[k_])=={'A','compensation','start_extra','report','cleanup'}\n        stripped_shared=json.loads(json.dumps(shared_word));stripped_shared['A']=stripped_shared['A'][stripped_shared['prelude_events']:]\n        assert shared_word['cleanup']==word_patch.derive_cleanup(stripped_shared,word_patch.restored_of(shared_word))\n        chain.append(shared_word);steps.append('shared-four-kernel')\n    final=json.loads(gzip.decompress(shipped.read_bytes()))",
+      "old": "    final=json.loads(gzip.decompress(shipped.read_bytes()))",
+      "path": "new/rebuild_borrow.py"
+    },
+    {
+      "after_sha256": "1591a3eed02d3532e46183543bd2ddc7129c079a5fd70f1e6b4d9bc897153e92",
+      "before_sha256": "c52149ed10c0cae4950c92cef0edc38f382c5cc74cf66c5eeeebb7191b4bc0a0",
+      "new": "run('rebuild-borrow-words',P/'new/rebuild_borrow.py')\nrun('shared-kernel-independent-review',P/'new/borrow/shared_kernel_review.py','--source-dir',P/'new/borrow','--source-base',P/'new/borrow/inputs/PR2833-WORD-base.json.gz','--source-extra',P/'new/borrow/inputs/PR2833-WORD-extra.json.gz','--candidate-base',P/'new/borrow/words/BORROW-WORD-43base.json.gz','--candidate-extra',P/'new/borrow/words/BORROW-WORD-43extra.json.gz','--out-dir',work/'shared-kernel-independent-review')",
+      "old": "run('rebuild-borrow-words',P/'new/rebuild_borrow.py')",
+      "path": "verify.py"
+    }
+  ],
+  "scope": "Exact source overlay construction only. Full native and owner/controller/outer admission remain separate; all inherited validators are retained and an independent kernel review is added.",
+  "source_file_count": 547,
+  "status": "PASS_SOURCE_BOUND_FOUR_KERNEL_OVERLAY_DERIVATION",
+  "upstream_manifest_sha256": "c8ec4d1b7be08d2ad30730a07392ad9cb6d0222f2c35bef43c9a80a39b16e41f",
+  "words": {
+    "base": {
+      "candidate_canonical_sha256": "c0af0ef7ee6282e91f046d027983b35eaed7ebcb46489134d47e07724cf664bc",
+      "candidate_word_sha256": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458",
+      "generator_sha256": "b3241527e6c136dc4b54975ef401c49d452bd6159fb99030accaf095c8fbd3ed",
+      "groups": [
+        478,
+        460,
+        462,
+        480
+      ],
+      "ledger": {
+        "chosen": [
+          478,
+          460,
+          462,
+          480
+        ],
+        "delta": {
+          "1": 12,
+          "2": -8
+        },
+        "groups": [
+          {
+            "compensation_added": 4,
+            "compensation_removed": 4,
+            "entry": [
+              25
+            ],
+            "group": [
+              478,
+              479,
+              490,
+              491
+            ],
+            "new_width": 8,
+            "raised": 478,
+            "source_width": 9
+          },
+          {
+            "compensation_added": 8,
+            "compensation_removed": 8,
+            "entry": [
+              7
+            ],
+            "group": [
+              460,
+              461,
+              468,
+              469
+            ],
+            "new_width": 8,
+            "raised": 460,
+            "source_width": 9
+          },
+          {
+            "compensation_added": 8,
+            "compensation_removed": 8,
+            "entry": [
+              7
+            ],
+            "group": [
+              462,
+              463,
+              470,
+              471
+            ],
+            "new_width": 8,
+            "raised": 462,
+            "source_width": 9
+          },
+          {
+            "compensation_added": 8,
+            "compensation_removed": 8,
+            "entry": [
+              25
+            ],
+            "group": [
+              480,
+              481,
+              492,
+              493
+            ],
+            "new_width": 8,
+            "raised": 480,
+            "source_width": 9
+          }
+        ],
+        "insertions": {
+          "1301": [
+            [
+              "add",
+              470,
+              462,
+              -1,
+              1,
+              [
+                7
+              ]
+            ]
+          ],
+          "1303": [
+            [
+              "add",
+              490,
+              478,
+              -1,
+              1,
+              [
+                25
+              ]
+            ],
+            [
+              "add",
+              471,
+              470,
+              1,
+              1,
+              [
+                75,
+                7
+              ]
+            ],
+            [
+              "add",
+              471,
+              524,
+              -1,
+              2,
+              [
+                75,
+                7
+              ]
+            ]
+          ],
+          "1305": [
+            [
+              "add",
+              479,
+              478,
+              1,
+              1,
+              [
+                75,
+                25
+              ]
+            ],
+            [
+              "add",
+              479,
+              526,
+              1,
+              1,
+              [
+                75,
+                25
+              ]
+            ]
+          ],
+          "1307": [
+            [
+              "add",
+              468,
+              460,
+              -1,
+              1,
+              [
+                7
+              ]
+            ]
+          ],
+          "1309": [
+            [
+              "add",
+              469,
+              468,
+              1,
+              1,
+              [
+                97,
+                7
+              ]
+            ],
+            [
+              "add",
+              469,
+              536,
+              -1,
+              2,
+              [
+                97,
+                7
+              ]
+            ],
+            [
+              "add",
+              492,
+              480,
+              -1,
+              1,
+              [
+                25
+              ]
+            ]
+          ],
+          "1311": [
+            [
+              "add",
+              481,
+              480,
+              1,
+              1,
+              [
+                97,
+                25
+              ]
+            ],
+            [
+              "add",
+              481,
+              540,
+              1,
+              1,
+              [
+                97,
+                25
+              ]
+            ]
+          ],
+          "1317": [
+            [
+              "add",
+              491,
+              490,
+              1,
+              1,
+              [
+                102,
+                25
+              ]
+            ],
+            [
+              "add",
+              491,
+              538,
+              1,
+              1,
+              [
+                102,
+                25
+              ]
+            ]
+          ],
+          "1321": [
+            [
+              "add",
+              493,
+              492,
+              1,
+              1,
+              [
+                76,
+                25
+              ]
+            ],
+            [
+              "add",
+              493,
+              528,
+              1,
+              1,
+              [
+                76,
+                25
+              ]
+            ]
+          ],
+          "1327": [
+            [
+              "add",
+              463,
+              462,
+              1,
+              1,
+              [
+                120,
+                7
+              ]
+            ],
+            [
+              "add",
+              463,
+              534,
+              -1,
+              2,
+              [
+                120,
+                7
+              ]
+            ]
+          ],
+          "1329": [
+            [
+              "add",
+              461,
+              460,
+              1,
+              1,
+              [
+                82,
+                7
+              ]
+            ],
+            [
+              "add",
+              461,
+              522,
+              -1,
+              2,
+              [
+                82,
+                7
+              ]
+            ]
+          ]
+        },
+        "local_profile": {
+          "1": 2394,
+          "2": 642,
+          "3": 266,
+          "4": 128,
+          "5": 26,
+          "8": 8
+        },
+        "source_canonical_sha256": "aaf1d752501a30fdf7305be9515617698d0b4753411844d28f005aab1b67f3df",
+        "variant": "base",
+        "width_inventory": {
+          "4": 26,
+          "5": 2,
+          "7": 62,
+          "8": 84,
+          "9": 234
+        }
+      },
+      "source_canonical_sha256": "aaf1d752501a30fdf7305be9515617698d0b4753411844d28f005aab1b67f3df",
+      "source_word_sha256": "dda9878455b3a3bec64ca16b1ac7789bbf5ffb603d5713b8df8644485e85b1b7"
+    },
+    "extra": {
+      "candidate_canonical_sha256": "61b20fbe78fdcbca0cde0597befcc254017ee206dad0724c576672aca690c66f",
+      "candidate_word_sha256": "bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546",
+      "generator_sha256": "b3241527e6c136dc4b54975ef401c49d452bd6159fb99030accaf095c8fbd3ed",
+      "groups": [
+        478,
+        460,
+        462,
+        480
+      ],
+      "ledger": {
+        "chosen": [
+          478,
+          460,
+          462,
+          480
+        ],
+        "delta": {
+          "1": 12,
+          "2": -8
+        },
+        "groups": [
+          {
+            "compensation_added": 4,
+            "compensation_removed": 4,
+            "entry": [
+              25
+            ],
+            "group": [
+              478,
+              479,
+              490,
+              491
+            ],
+            "new_width": 8,
+            "raised": 478,
+            "source_width": 9
+          },
+          {
+            "compensation_added": 8,
+            "compensation_removed": 8,
+            "entry": [
+              7
+            ],
+            "group": [
+              460,
+              461,
+              468,
+              469
+            ],
+            "new_width": 8,
+            "raised": 460,
+            "source_width": 9
+          },
+          {
+            "compensation_added": 8,
+            "compensation_removed": 8,
+            "entry": [
+              7
+            ],
+            "group": [
+              462,
+              463,
+              470,
+              471
+            ],
+            "new_width": 8,
+            "raised": 462,
+            "source_width": 9
+          },
+          {
+            "compensation_added": 8,
+            "compensation_removed": 8,
+            "entry": [
+              25
+            ],
+            "group": [
+              480,
+              481,
+              492,
+              493
+            ],
+            "new_width": 8,
+            "raised": 480,
+            "source_width": 9
+          }
+        ],
+        "insertions": {
+          "1301": [
+            [
+              "add",
+              470,
+              462,
+              -1,
+              1,
+              [
+                7
+              ]
+            ]
+          ],
+          "1303": [
+            [
+              "add",
+              490,
+              478,
+              -1,
+              1,
+              [
+                25
+              ]
+            ],
+            [
+              "add",
+              471,
+              470,
+              1,
+              1,
+              [
+                75,
+                7
+              ]
+            ],
+            [
+              "add",
+              471,
+              524,
+              -1,
+              2,
+              [
+                75,
+                7
+              ]
+            ]
+          ],
+          "1305": [
+            [
+              "add",
+              479,
+              478,
+              1,
+              1,
+              [
+                75,
+                25
+              ]
+            ],
+            [
+              "add",
+              479,
+              526,
+              1,
+              1,
+              [
+                75,
+                25
+              ]
+            ]
+          ],
+          "1307": [
+            [
+              "add",
+              468,
+              460,
+              -1,
+              1,
+              [
+                7
+              ]
+            ]
+          ],
+          "1309": [
+            [
+              "add",
+              469,
+              468,
+              1,
+              1,
+              [
+                97,
+                7
+              ]
+            ],
+            [
+              "add",
+              469,
+              536,
+              -1,
+              2,
+              [
+                97,
+                7
+              ]
+            ],
+            [
+              "add",
+              492,
+              480,
+              -1,
+              1,
+              [
+                25
+              ]
+            ]
+          ],
+          "1311": [
+            [
+              "add",
+              481,
+              480,
+              1,
+              1,
+              [
+                97,
+                25
+              ]
+            ],
+            [
+              "add",
+              481,
+              540,
+              1,
+              1,
+              [
+                97,
+                25
+              ]
+            ]
+          ],
+          "1317": [
+            [
+              "add",
+              491,
+              490,
+              1,
+              1,
+              [
+                102,
+                25
+              ]
+            ],
+            [
+              "add",
+              491,
+              538,
+              1,
+              1,
+              [
+                102,
+                25
+              ]
+            ]
+          ],
+          "1321": [
+            [
+              "add",
+              493,
+              492,
+              1,
+              1,
+              [
+                76,
+                25
+              ]
+            ],
+            [
+              "add",
+              493,
+              528,
+              1,
+              1,
+              [
+                76,
+                25
+              ]
+            ]
+          ],
+          "1327": [
+            [
+              "add",
+              463,
+              462,
+              1,
+              1,
+              [
+                120,
+                7
+              ]
+            ],
+            [
+              "add",
+              463,
+              534,
+              -1,
+              2,
+              [
+                120,
+                7
+              ]
+            ]
+          ],
+          "1329": [
+            [
+              "add",
+              461,
+              460,
+              1,
+              1,
+              [
+                82,
+                7
+              ]
+            ],
+            [
+              "add",
+              461,
+              522,
+              -1,
+              2,
+              [
+                82,
+                7
+              ]
+            ]
+          ]
+        },
+        "local_profile": {
+          "1": 2394,
+          "2": 642,
+          "3": 266,
+          "4": 128,
+          "5": 26,
+          "8": 8
+        },
+        "source_canonical_sha256": "1b02e1ea0214b45071f9d93ad074cc392fd7e59f6fb83a7c4e8cd99c36150a3c",
+        "variant": "extra",
+        "width_inventory": {
+          "4": 26,
+          "5": 2,
+          "7": 62,
+          "8": 84,
+          "9": 234
+        }
+      },
+      "source_canonical_sha256": "1b02e1ea0214b45071f9d93ad074cc392fd7e59f6fb83a7c4e8cd99c36150a3c",
+      "source_word_sha256": "bbe6bcba59e45e827a8e932ee4b23650d56ed4a0b8e0875c14f23c36b9e47eac"
+    }
+  }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/RESULT.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/RESULT.json
new file mode 100644
index 0000000000..ecd04d27da
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/RESULT.json
@@ -0,0 +1,383 @@
+{
+  "actual_expected_helpers": 408,
+  "comparison_claim_sha256": "aceb1394b3e8f3abcc9b1a0dc82756ab937ffbefc2f37305a229a00ccc5137e9",
+  "comparison_head": "c50d12e4720cd1fef2b5a65e337e37de9731879a",
+  "comparison_kappa": "17186585083049300048189999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "comparison_pr": 2848,
+  "complex_lower": "86004870116989085803/50000000000000000000000",
+  "dispatch_sha256": "a2ade66687d1ad6b788a79dd8bb31a128bda9d02b4583e82d347e8892e9a148d",
+  "external_input_sha256": {
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/sources/PR2848-CLAIM.json": "aceb1394b3e8f3abcc9b1a0dc82756ab937ffbefc2f37305a229a00ccc5137e9",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/blocknorm_certificate.py": "e5bfbad8e8e6cb4206f7ba92d333780f423918d8f217b474302346169e991f92",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/lift_parent.py": "9a1edd7d4ab4a2f2ac8d15b42b7e40f93653d65026bac59e4c1ce80b486bd60e",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/reconstruct_replica.py": "5472811c24aef3852dc7e189dff5060076a6c0b25bfde928da50dcfe9b5bdc15",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/research/shared-kernel-repacking/vendor/pr2839/replica_parent.py": "48bdbf28f59d80edb266803ec61bf5e22e8fb5e5a0e2b88004b6039147589bd4",
+    "/workspace/scratch/bc9e58970b2a/pair-candidate/DISPATCH.json": "a2ade66687d1ad6b788a79dd8bb31a128bda9d02b4583e82d347e8892e9a148d",
+    "/workspace/scratch/bc9e58970b2a/pair-candidate/FILL.json.gz": "1c79800e68c35c35aade277f54da8dda54c843e40376171c597e1ee675925840",
+    "/workspace/scratch/bc9e58970b2a/pair-candidate/ORDER.json": "1dcbeb826512d864ba5b4bc740d6125980d4b2edec834206c07348485d159e96"
+  },
+  "fill_sha256": "1c79800e68c35c35aade277f54da8dda54c843e40376171c597e1ee675925840",
+  "gain": "1438894034851711241/1000000000000000000000000",
+  "kappa": "17200974023397817160599999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "kappa_decimal": "0.0017200974023397817160599999999999999999999998999999999999999999999999",
+  "native_receipt_sha256": "abfcf708140df4cd91b6c81a4f7610bf128eb81baf6e5c97e9b90bf625b9b978",
+  "order_sha256": "1dcbeb826512d864ba5b4bc740d6125980d4b2edec834206c07348485d159e96",
+  "package_manifest_sha256": "34ef9abf9ef04ccaaf79dbd84b964bb704a448b95629ffd2a8200f709c8b0505",
+  "patches": [
+    {
+      "after_sha256": "52f8b4cec2dab69cbe590e1fd0f7a68e1b35de5a540bd22fd2adfce07a92b46b",
+      "before_sha256": "faf283eb4edd2e6a1ccb40b3cb3ba30ae54338eaf5ea0a10d84d11d7939502af",
+      "path": "new/rebind.py",
+      "replacements": [
+        [
+          "physical=spec['expected']['live'] + 8 + R + 2)",
+          "physical=spec['expected']['live'] + 8 + R + 2 + max(len(rd(d / 'CANONICAL-WORD.json.gz').get('zero_buffers', [])) for d in locs.values()))"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "99bef04f24a99088e5c0c9b8f6bbc8386669d8315b8f572d6bbfb932c5d51145",
+      "before_sha256": "7edb4732b34e5814b27650a55c938626cb50d68f06397744dd4fe451437e90e0",
+      "path": "geometry_controls.py",
+      "replacements": [
+        [
+          " i['complete_invocation_sweeps']=i['bridge_sweeps']=333",
+          " i['complete_invocation_sweeps']-=1;i['bridge_sweeps']-=1"
+        ],
+        [
+          " o,i=copy.deepcopy(owner),copy.deepcopy(invoice);fn(o,i);oh=digest(o);i['owner_audit_sha256']=oh",
+          " o,i=copy.deepcopy(owner),copy.deepcopy(invoice);fn(o,i);assert (o,i)!=(owner,invoice), 'geometry mutant must change actual receipts';oh=digest(o);i['owner_audit_sha256']=oh"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "6cfefe80c02a6c0f243f50ca9e146e1ab1440b84a033d8a71d42be5a5fa27f6b",
+      "before_sha256": "c43680a2da390f79925547a5ee1919d8a76637cccf98e2c8164b6f667fbc3183",
+      "path": "verify_release.py",
+      "replacements": [
+        [
+          "Fraction(1, 10 ** 3046) - Fraction(1, 10 ** 3022)",
+          "Fraction(1, 10 ** (spec['outer_refinement']['endpoint_digits'] + 46)) - Fraction(1, 10 ** (spec['outer_refinement']['endpoint_digits'] + 22))"
+        ],
+        [
+          "epsilon=1-(1025/1024)e-3080",
+          "epsilon=1-(1025/1024)e-{spec['outer_refinement']['endpoint_digits']+80}"
+        ],
+        [
+          "at the one 3000-digit rejection call",
+          "at the one {spec['outer_refinement']['endpoint_digits']}-digit rejection call"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "1dd56009986eb14dd6603c9193c7ad71dd45c7d005bf71c9cd3f916e66f54d98",
+      "before_sha256": "9e12909c73d3b3a31a45d801ae76c034510d6306400412e474df79bc4f1dc67e",
+      "path": "outer/check_ledger.py",
+      "replacements": [
+        [
+          "assert (m,W)==(73,66304)",
+          "T=spec['geometry']['replicas']\nassert type(T) is int and T>0\nassert m==73 and W==896*T and W==BJ['live']"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "ebaf637f1f818dac9c0fce0ee3f18df300873105818cea29a8ae9e8b737b5c7d",
+      "before_sha256": "08ca58abff11bdfba721dc56ab8acf06ec1b7c48a8699a0955cf35324680aca7",
+      "path": "code/witness.py",
+      "replacements": [
+        [
+          "   with open(os.environ['WITNESS_RECORD'],'a')as f:f.write(json.dumps([key,got],default=str)+chr(10))",
+          "   import time as _wr_time\n   _wr_path=Path(os.environ['WITNESS_RECORD'])\n   _wr_lock=_wr_path.with_name(_wr_path.name+'.append.lock')\n   _wr_deadline=_wr_time.monotonic()+60\n   _wr_fd=None\n   while _wr_fd is None:\n    try:_wr_fd=os.open(_wr_lock,os.O_CREAT|os.O_EXCL|os.O_WRONLY)\n    except FileExistsError:\n     if _wr_time.monotonic()>=_wr_deadline:raise TimeoutError('discovery record lock timeout; existing lock preserved')\n     _wr_time.sleep(.005)\n   try:\n    with _wr_path.open('a',encoding='utf-8',newline='\\n')as _wr_out:\n     _wr_out.write(json.dumps([key,got],default=str)+chr(10))\n     _wr_out.flush()\n   finally:\n    os.close(_wr_fd)\n    _wr_lock.unlink()"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "114a80b70c8c4819f10adf88aefc1571b18337e5da92bcff2ca3aa001650b83c",
+      "before_sha256": "1591a3eed02d3532e46183543bd2ddc7129c079a5fd70f1e6b4d9bc897153e92",
+      "path": "verify.py",
+      "replacements": [
+        [
+          "run('lift-parent',P/'lift_parent.py','--owners',work/'rebuilt-owners','--out',work/'rebuilt-parent')",
+          "run('lift-parent',P/'lift_parent.py','--package',P,'--owners',work/'rebuilt-owners','--out',work/'rebuilt-parent')"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "0d8cc021d2401d047aaec79060ec2ea28ba06f12eca8dbf4c60c78bb31975c4e",
+      "before_sha256": "ebaf637f1f818dac9c0fce0ee3f18df300873105818cea29a8ae9e8b737b5c7d",
+      "path": "code/witness.py",
+      "replacements": [
+        [
+          "PAYLOAD==1<<(192+(GEO['dimension']+1)//2+2*CALLS+4).bit_length()",
+          "PAYLOAD==1<<(128+(GEO['dimension']+1)//2+18+1330+1+4).bit_length()"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "c5106e0d7a97382677fa228fbade989262347968a0e54acfcf6712aa37e02f47",
+      "before_sha256": "bb213d0af12218ff7c9c572717e522d8bbeeb2856b87a253f4a7f44e0fd71f15",
+      "path": "code/invoice_allcold.py",
+      "replacements": [
+        [
+          "    required_prefix=localbits+input_l2_bits+call_count+bridge_sweeps+4",
+          "    from blocknorm_certificate import certify\n    blocknorm=certify(template, {pid:base/'providers'/pid for pid in template['local_providers']})\n    assert blocknorm['status'] == 'PASS_TENSOR_BLOCK_NORM_CERTIFICATE'\n    assert localbits <= 128, 'actual native scalar/Horner prefix exceeds charged local reserve'\n    required_prefix=localbits+input_l2_bits+blocknorm['max_active_depth']+blocknorm['stock_l2_bits']+1+4"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "0d522b09c7fe6a5e62fe80c28f3eefe733557a82d77c6212e5d4b91ffb7e3421",
+      "before_sha256": "02502a217fe8c9e10229075b50745518beac512c48db20e64c3e06514a4da5b5",
+      "path": "independent_core.py",
+      "replacements": [
+        [
+          "    payload = 1 << (192 + (M+1)//2 + 2*len(c['order']) + 4).bit_length()",
+          "    require(localbits <= 128, 'measured native prefix exceeds local reserve')\n    payload = 1 << (128 + (M+1)//2 + 18 + 1330 + 1 + 4).bit_length()"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "d598a2ac1e2e8eaee14a8c285e0277a7ae44ca6a15bd2b5cfc67fb40844fb387",
+      "before_sha256": "c5106e0d7a97382677fa228fbade989262347968a0e54acfcf6712aa37e02f47",
+      "path": "code/invoice_allcold.py",
+      "replacements": [
+        [
+          "        complete_invocation_sweeps=call_count,bridge_sweeps=bridge_sweeps,row_prefix_extra=2*payload,",
+          "        complete_invocation_sweeps=call_count,bridge_sweeps=bridge_sweeps,row_prefix_extra=2*payload,blocknorm=blocknorm,"
+        ],
+        [
+          "        primitive_arithmetic_margin_bits=4,controller_audit_sha256=",
+          "        tensor_block_norm=blocknorm,partial_cover_margin_bits=1,physical_stock_l2_bits=blocknorm['stock_l2_bits'],primitive_arithmetic_margin_bits=4,controller_audit_sha256="
+        ],
+        [
+          "Sum every actual invocation and bridge sweep and take the maximum local scalar/Horner prefix over both orientations of the fixed provider.",
+          "All invocations and bridge sweeps remain charged. Bound completed-boundary energy by at most eighteen active steps per owner replica, using exact tensor-isomorphic whole-family helper unitaries. Add the full group-indexed physical-stock sup-to-l2 factor and one partial-cover margin, then the maximum local scalar/Horner prefix."
+        ]
+      ]
+    },
+    {
+      "after_sha256": "e051aaa166e01263780d5ae03699690670b597fed6593af4c37a7e978825eb85",
+      "before_sha256": "0d522b09c7fe6a5e62fe80c28f3eefe733557a82d77c6212e5d4b91ffb7e3421",
+      "path": "independent_core.py",
+      "replacements": [
+        [
+          "    prefix = localbits + (M + 1) // 2 + len(c['order']) + c['bridges'] + 4",
+          "    bn=c['blocknorm']\n    require(bn['status']=='PASS_TENSOR_BLOCK_NORM_CERTIFICATE' and bn['max_active_depth']==18 and bn['stock_l2_bits']<=1330, 'independent tensor block certificate')\n    prefix = localbits + (M + 1) // 2 + bn['max_active_depth'] + bn['stock_l2_bits'] + 1 + 4"
+        ],
+        [
+          "prefix_formula=dict(local_scalar=localbits, input_l2=(M + 1) // 2, invocations=len(c['order']), bridges=c['bridges'], margin=4)",
+          "prefix_formula=dict(local_scalar=localbits, input_l2=(M + 1) // 2, invocations=len(c['order']), bridges=c['bridges'], active_block_depth=18,stock_l2=bn['stock_l2_bits'],partial_cover=1,margin=4),blocknorm=bn"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "393323f150d0bb686419804d51cf43d0f58450d2a1e7929725acdd26fdbb3640",
+      "before_sha256": "2286f00e462ff28abbb3f396095463482a1e063213b9526a7225275980c77eaf",
+      "path": "audit_mixed.py",
+      "replacements": [
+        [
+          "pending=A.check_pending_axes(ctx);receipt=A.check_roles(ctx,roles)",
+          "import blocknorm_certificate as BN;ctx['blocknorm']=BN.certify_context(ctx,roles,dirs,source_parent=parent);pending=A.check_pending_axes(ctx);receipt=A.check_roles(ctx,roles)"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "4e7b5ddd11b23c92ab26bc0c80884ed64a2d45e9247b5f52bc03f27fa83dbee0",
+      "before_sha256": "f25e1e870df5d5a16a1e367b3df8843cb01644ab4b75895d7939af81e4fcb833",
+      "path": "code/assemble.py",
+      "replacements": [
+        [
+          " assert invoice['global_prefix_bits']==max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())+37+CALLS+CALLS+4",
+          " bn=invoice['blocknorm']\n assert bn['status']=='PASS_TENSOR_BLOCK_NORM_CERTIFICATE' and bn['replicas']==REPLICAS\n assert bn['max_active_depth']==bn['boundary_depth_bits']==18 and bn['active_calls_per_block']==bn['bridges_per_block']==9\n assert bn['block_width_families']==896 and bn['physical_families']==invoice['physical'] and bn['live_families']==invoice['live']\n assert bn['partial_cover_bits']==1 and bn['input_l2_bits']==37 and bn['local_reserve_bits']==128 and bn['retained_payload_bits']==PAYLOAD\n localbits=max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())\n assert bn['local_actual_prefix_bits']==localbits and localbits<=128\n assert invoice['global_prefix_bits']==bn['actual_prefix_bits']==localbits+37+18+bn['stock_l2_bits']+1+4\n assert bn['required_reserve_bits']==128+37+18+bn['stock_l2_bits']+1+4<PAYLOAD\n expected_endpoint=dict(all_arbitrary_columns=632,helper_to_data_response_zero=True,centres_first_clear_and_terminal_zero=8,zero_buffers_allocated_and_cleared=72,coefficient_work_contract='unchanged audited clear-before-and-after Horner macro')\n assert bn['endpoint_replay']=={pid:{o:expected_endpoint for o in ('forward','backward')} for pid in invoice['providers']}"
+        ],
+        [
+          " stock=group*invoice['physical'];streamed_mass=group*owner['rank_mass']",
+          " stock=group*invoice['physical'];streamed_mass=group*owner['rank_mass']\n assert bn['physical_stock_bits']==stock.bit_length() and bn['stock_l2_bits']==(stock.bit_length()+1)//2<=1330"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "b7a6a7dbca02aec52d7807ed3104362b0fab1014d2f624b5fe638a3f30f65133",
+      "before_sha256": "d7675ff0b0994b29541d37eaa3010c5f39bb1447700c9f8e750522bf8c951f56",
+      "path": "code/assembly_controls.py",
+      "replacements": [
+        [
+          "        i['global_prefix_bits'] = 1 + 37 + CALLS + CALLS + 4",
+          "        i['global_prefix_bits'] = 1 + 37 + 18 + i['blocknorm']['stock_l2_bits'] + 1 + 4"
+        ],
+        [
+          "        ('wrong_global_prefix_sum', lambda o, i: i.__setitem__('global_prefix_bits', 224)),",
+          "        ('wrong_global_prefix_sum', lambda o, i: i.__setitem__('global_prefix_bits', 224)),\n        ('missing_blocknorm', lambda o,i:i.pop('blocknorm')),\n        ('understated_active_depth',lambda o,i:i['blocknorm'].__setitem__('max_active_depth',17)),\n        ('understated_full_stock_norm',lambda o,i:i['blocknorm'].__setitem__('stock_l2_bits',10)),\n        ('missing_partial_cover_margin',lambda o,i:i['blocknorm'].__setitem__('partial_cover_bits',0)),\n        ('forged_helper_response',lambda o,i:i['blocknorm']['endpoint_replay'][next(iter(i['providers']))]['forward'].__setitem__('helper_to_data_response_zero',False)),"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "9612cc95bfa2a36a9d9cbdcedc557f28f52e83f20f113ab21d0d54cf9c190be2",
+      "before_sha256": "1d965b7a329b98008fcc67e73d03dcf6e75f0f33c2858a39f1182bb3d0ed0ea1",
+      "path": "freeze_spec.py",
+      "replacements": [
+        [
+          "spec['expected']['assembly_controls_rejected'] = 32 + sum(",
+          "spec['expected']['assembly_controls_rejected'] = 37 + sum("
+        ]
+      ]
+    },
+    {
+      "after_sha256": "cda0f3a63c5c92c0ff45f7f3a200567d7931fd421836e72ea3b8534f6ee24dcc",
+      "before_sha256": "3ec4330ede0db3c6daa453b0366817be9435c85c8c3213a0c35c442c96c1a955",
+      "path": "replay.py",
+      "replacements": [
+        [
+          "len(rd(work/'ADMISSION-CONTROLS.json')['rejected_controls'])==114",
+          "len(rd(work/'ADMISSION-CONTROLS.json')['rejected_controls'])==119"
+        ]
+      ]
+    },
+    {
+      "after_sha256": "55db009f9ecdff75876984f39de9b75055c6b6f7db06e51424c22085cde44993",
+      "before_sha256": "114a80b70c8c4819f10adf88aefc1571b18337e5da92bcff2ca3aa001650b83c",
+      "path": "verify.py",
+      "replacements": [
+        [
+          "['replay.py','freeze_spec.py','audit_mixed.py','independent_core.py','geometry_controls.py','audit_fast.py']",
+          "['replay.py','freeze_spec.py','audit_mixed.py','independent_core.py','geometry_controls.py','audit_fast.py','blocknorm_certificate.py']"
+        ],
+        [
+          "controls=dict(admission=114,bit=12,controller=15,independent_owner=8,geometry=6)",
+          "controls=dict(admission=119,bit=12,controller=15,independent_owner=8,geometry=6)"
+        ]
+      ]
+    }
+  ],
+  "profile": {
+    "1": 1611720,
+    "16": 1,
+    "2": 427573,
+    "3": 183550,
+    "4": 85248,
+    "48": 26758,
+    "5": 26196,
+    "8": 5328
+  },
+  "release_receipt_sha256": "b0bd7d115bf2753f786870887bc14a2a3f42459761412f350a4802efa336ba71",
+  "replicas": 74,
+  "scope": "Conditional finite construction and modern outer arithmetic. Exact inherited theorem obligations remain. Both native providers explicitly reused from authenticated fresh five-stage runs.",
+  "source_commit": "shared-four-kernel-pr2833",
+  "source_file_count": 547,
+  "source_manifest_sha256": "54dc42f25c1d8b85adcf593c4bf6c0f83f7351388af857812790b8a0b4c3d869",
+  "source_profile": "shared-four",
+  "source_upstream_head": "e9307b48d7d1b690939935ecef0f8e524e6d92f4",
+  "stages": [
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/package/reconstruct.py",
+        "--out",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/owners"
+      ],
+      "exit_code": 0,
+      "log_sha256": "f5ce15f525b3ab88f106aea3a19f2d17b8e652cd93a36edfc38a8c1bc660752a",
+      "name": "owners",
+      "script_sha256": "5472811c24aef3852dc7e189dff5060076a6c0b25bfde928da50dcfe9b5bdc15",
+      "seconds": 5.306561270000202
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/package/lift_parent.py",
+        "--package",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/package",
+        "--owners",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/owners",
+        "--out",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/parent-data"
+      ],
+      "exit_code": 0,
+      "log_sha256": "7b6249a123ca39fae7b7a6339dd9e8ae8777b081f4336418f2cc101704b70644",
+      "name": "parent-lift",
+      "script_sha256": "9a1edd7d4ab4a2f2ac8d15b42b7e40f93653d65026bac59e4c1ce80b486bd60e",
+      "seconds": 12.887588180999956
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/package/new/rebind.py",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/package",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546/local",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/rebound"
+      ],
+      "exit_code": 0,
+      "log_sha256": "af1f74e461bf7a97fc1a1160996622ad7ccfb5247bd0d4ba6f7f8f7509ea59e7",
+      "name": "rebind",
+      "script_sha256": "52f8b4cec2dab69cbe590e1fd0f7a68e1b35de5a540bd22fd2adfce07a92b46b",
+      "seconds": 0.9551140359999408
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/layout/packing74/replay.py",
+        "--data",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/layout/packing74/candidate",
+        "--work",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/discovery",
+        "--local",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local",
+        "--discover"
+      ],
+      "exit_code": 0,
+      "log_sha256": "b9eee8456840134be120e850a1b740ddd1ddcf4a412538334c666ce656f7427a",
+      "name": "discovery",
+      "script_sha256": "cda0f3a63c5c92c0ff45f7f3a200567d7931fd421836e72ea3b8534f6ee24dcc",
+      "seconds": 119.93582193300062
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/package/outer/check_ledger.py"
+      ],
+      "exit_code": 0,
+      "log_sha256": "841de2e40540b7726625e87ae31f127f874cb952f7eeb348ab3c219068b88ad9",
+      "name": "outer-check_ledger.py",
+      "script_sha256": "1dd56009986eb14dd6603c9193c7ad71dd45c7d005bf71c9cd3f916e66f54d98",
+      "seconds": 0.0741117919997123
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/package/outer/independent_check.py"
+      ],
+      "exit_code": 0,
+      "log_sha256": "a4f202e82e79aafaa6f65adf270aab65ea8ce5530002e7866d9b7ee2ef34fb4e",
+      "name": "outer-independent_check.py",
+      "script_sha256": "a5a0361539ec7cae9eb6c0371f857919335a1720040f22af291aa3e34fc864c7",
+      "seconds": 0.030468384000414517
+    },
+    {
+      "command": [
+        "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+        "-B",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/package/verify_release.py",
+        "--main",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier",
+        "--work",
+        "/workspace/scratch/bc9e58970b2a/pair-admission/release",
+        "--native-cache",
+        "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache",
+        "--jobs",
+        "2"
+      ],
+      "exit_code": 0,
+      "log_sha256": "b8c1f13bb79e1c866d7e66c4f0d91bbb49adfe7cbcea33d5cae2dff9c1f59aa6",
+      "name": "release",
+      "script_sha256": "6cfefe80c02a6c0f243f50ca9e146e1ab1440b84a033d8a71d42be5a5fa27f6b",
+      "seconds": 353.6596332910003
+    }
+  ],
+  "status": "PASS_REPLICA_ORDER_FILL_DERIVATIVE_COMPLETE_RELEASE"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/RUNTIME-PATCHES.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/RUNTIME-PATCHES.json
new file mode 100644
index 0000000000..cac62dec9b
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/RUNTIME-PATCHES.json
@@ -0,0 +1,225 @@
+[
+  {
+    "after_sha256": "52f8b4cec2dab69cbe590e1fd0f7a68e1b35de5a540bd22fd2adfce07a92b46b",
+    "before_sha256": "faf283eb4edd2e6a1ccb40b3cb3ba30ae54338eaf5ea0a10d84d11d7939502af",
+    "path": "new/rebind.py",
+    "replacements": [
+      [
+        "physical=spec['expected']['live'] + 8 + R + 2)",
+        "physical=spec['expected']['live'] + 8 + R + 2 + max(len(rd(d / 'CANONICAL-WORD.json.gz').get('zero_buffers', [])) for d in locs.values()))"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "99bef04f24a99088e5c0c9b8f6bbc8386669d8315b8f572d6bbfb932c5d51145",
+    "before_sha256": "7edb4732b34e5814b27650a55c938626cb50d68f06397744dd4fe451437e90e0",
+    "path": "geometry_controls.py",
+    "replacements": [
+      [
+        " i['complete_invocation_sweeps']=i['bridge_sweeps']=333",
+        " i['complete_invocation_sweeps']-=1;i['bridge_sweeps']-=1"
+      ],
+      [
+        " o,i=copy.deepcopy(owner),copy.deepcopy(invoice);fn(o,i);oh=digest(o);i['owner_audit_sha256']=oh",
+        " o,i=copy.deepcopy(owner),copy.deepcopy(invoice);fn(o,i);assert (o,i)!=(owner,invoice), 'geometry mutant must change actual receipts';oh=digest(o);i['owner_audit_sha256']=oh"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "6cfefe80c02a6c0f243f50ca9e146e1ab1440b84a033d8a71d42be5a5fa27f6b",
+    "before_sha256": "c43680a2da390f79925547a5ee1919d8a76637cccf98e2c8164b6f667fbc3183",
+    "path": "verify_release.py",
+    "replacements": [
+      [
+        "Fraction(1, 10 ** 3046) - Fraction(1, 10 ** 3022)",
+        "Fraction(1, 10 ** (spec['outer_refinement']['endpoint_digits'] + 46)) - Fraction(1, 10 ** (spec['outer_refinement']['endpoint_digits'] + 22))"
+      ],
+      [
+        "epsilon=1-(1025/1024)e-3080",
+        "epsilon=1-(1025/1024)e-{spec['outer_refinement']['endpoint_digits']+80}"
+      ],
+      [
+        "at the one 3000-digit rejection call",
+        "at the one {spec['outer_refinement']['endpoint_digits']}-digit rejection call"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "1dd56009986eb14dd6603c9193c7ad71dd45c7d005bf71c9cd3f916e66f54d98",
+    "before_sha256": "9e12909c73d3b3a31a45d801ae76c034510d6306400412e474df79bc4f1dc67e",
+    "path": "outer/check_ledger.py",
+    "replacements": [
+      [
+        "assert (m,W)==(73,66304)",
+        "T=spec['geometry']['replicas']\nassert type(T) is int and T>0\nassert m==73 and W==896*T and W==BJ['live']"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "ebaf637f1f818dac9c0fce0ee3f18df300873105818cea29a8ae9e8b737b5c7d",
+    "before_sha256": "08ca58abff11bdfba721dc56ab8acf06ec1b7c48a8699a0955cf35324680aca7",
+    "path": "code/witness.py",
+    "replacements": [
+      [
+        "   with open(os.environ['WITNESS_RECORD'],'a')as f:f.write(json.dumps([key,got],default=str)+chr(10))",
+        "   import time as _wr_time\n   _wr_path=Path(os.environ['WITNESS_RECORD'])\n   _wr_lock=_wr_path.with_name(_wr_path.name+'.append.lock')\n   _wr_deadline=_wr_time.monotonic()+60\n   _wr_fd=None\n   while _wr_fd is None:\n    try:_wr_fd=os.open(_wr_lock,os.O_CREAT|os.O_EXCL|os.O_WRONLY)\n    except FileExistsError:\n     if _wr_time.monotonic()>=_wr_deadline:raise TimeoutError('discovery record lock timeout; existing lock preserved')\n     _wr_time.sleep(.005)\n   try:\n    with _wr_path.open('a',encoding='utf-8',newline='\\n')as _wr_out:\n     _wr_out.write(json.dumps([key,got],default=str)+chr(10))\n     _wr_out.flush()\n   finally:\n    os.close(_wr_fd)\n    _wr_lock.unlink()"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "114a80b70c8c4819f10adf88aefc1571b18337e5da92bcff2ca3aa001650b83c",
+    "before_sha256": "1591a3eed02d3532e46183543bd2ddc7129c079a5fd70f1e6b4d9bc897153e92",
+    "path": "verify.py",
+    "replacements": [
+      [
+        "run('lift-parent',P/'lift_parent.py','--owners',work/'rebuilt-owners','--out',work/'rebuilt-parent')",
+        "run('lift-parent',P/'lift_parent.py','--package',P,'--owners',work/'rebuilt-owners','--out',work/'rebuilt-parent')"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "0d8cc021d2401d047aaec79060ec2ea28ba06f12eca8dbf4c60c78bb31975c4e",
+    "before_sha256": "ebaf637f1f818dac9c0fce0ee3f18df300873105818cea29a8ae9e8b737b5c7d",
+    "path": "code/witness.py",
+    "replacements": [
+      [
+        "PAYLOAD==1<<(192+(GEO['dimension']+1)//2+2*CALLS+4).bit_length()",
+        "PAYLOAD==1<<(128+(GEO['dimension']+1)//2+18+1330+1+4).bit_length()"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "c5106e0d7a97382677fa228fbade989262347968a0e54acfcf6712aa37e02f47",
+    "before_sha256": "bb213d0af12218ff7c9c572717e522d8bbeeb2856b87a253f4a7f44e0fd71f15",
+    "path": "code/invoice_allcold.py",
+    "replacements": [
+      [
+        "    required_prefix=localbits+input_l2_bits+call_count+bridge_sweeps+4",
+        "    from blocknorm_certificate import certify\n    blocknorm=certify(template, {pid:base/'providers'/pid for pid in template['local_providers']})\n    assert blocknorm['status'] == 'PASS_TENSOR_BLOCK_NORM_CERTIFICATE'\n    assert localbits <= 128, 'actual native scalar/Horner prefix exceeds charged local reserve'\n    required_prefix=localbits+input_l2_bits+blocknorm['max_active_depth']+blocknorm['stock_l2_bits']+1+4"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "0d522b09c7fe6a5e62fe80c28f3eefe733557a82d77c6212e5d4b91ffb7e3421",
+    "before_sha256": "02502a217fe8c9e10229075b50745518beac512c48db20e64c3e06514a4da5b5",
+    "path": "independent_core.py",
+    "replacements": [
+      [
+        "    payload = 1 << (192 + (M+1)//2 + 2*len(c['order']) + 4).bit_length()",
+        "    require(localbits <= 128, 'measured native prefix exceeds local reserve')\n    payload = 1 << (128 + (M+1)//2 + 18 + 1330 + 1 + 4).bit_length()"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "d598a2ac1e2e8eaee14a8c285e0277a7ae44ca6a15bd2b5cfc67fb40844fb387",
+    "before_sha256": "c5106e0d7a97382677fa228fbade989262347968a0e54acfcf6712aa37e02f47",
+    "path": "code/invoice_allcold.py",
+    "replacements": [
+      [
+        "        complete_invocation_sweeps=call_count,bridge_sweeps=bridge_sweeps,row_prefix_extra=2*payload,",
+        "        complete_invocation_sweeps=call_count,bridge_sweeps=bridge_sweeps,row_prefix_extra=2*payload,blocknorm=blocknorm,"
+      ],
+      [
+        "        primitive_arithmetic_margin_bits=4,controller_audit_sha256=",
+        "        tensor_block_norm=blocknorm,partial_cover_margin_bits=1,physical_stock_l2_bits=blocknorm['stock_l2_bits'],primitive_arithmetic_margin_bits=4,controller_audit_sha256="
+      ],
+      [
+        "Sum every actual invocation and bridge sweep and take the maximum local scalar/Horner prefix over both orientations of the fixed provider.",
+        "All invocations and bridge sweeps remain charged. Bound completed-boundary energy by at most eighteen active steps per owner replica, using exact tensor-isomorphic whole-family helper unitaries. Add the full group-indexed physical-stock sup-to-l2 factor and one partial-cover margin, then the maximum local scalar/Horner prefix."
+      ]
+    ]
+  },
+  {
+    "after_sha256": "e051aaa166e01263780d5ae03699690670b597fed6593af4c37a7e978825eb85",
+    "before_sha256": "0d522b09c7fe6a5e62fe80c28f3eefe733557a82d77c6212e5d4b91ffb7e3421",
+    "path": "independent_core.py",
+    "replacements": [
+      [
+        "    prefix = localbits + (M + 1) // 2 + len(c['order']) + c['bridges'] + 4",
+        "    bn=c['blocknorm']\n    require(bn['status']=='PASS_TENSOR_BLOCK_NORM_CERTIFICATE' and bn['max_active_depth']==18 and bn['stock_l2_bits']<=1330, 'independent tensor block certificate')\n    prefix = localbits + (M + 1) // 2 + bn['max_active_depth'] + bn['stock_l2_bits'] + 1 + 4"
+      ],
+      [
+        "prefix_formula=dict(local_scalar=localbits, input_l2=(M + 1) // 2, invocations=len(c['order']), bridges=c['bridges'], margin=4)",
+        "prefix_formula=dict(local_scalar=localbits, input_l2=(M + 1) // 2, invocations=len(c['order']), bridges=c['bridges'], active_block_depth=18,stock_l2=bn['stock_l2_bits'],partial_cover=1,margin=4),blocknorm=bn"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "393323f150d0bb686419804d51cf43d0f58450d2a1e7929725acdd26fdbb3640",
+    "before_sha256": "2286f00e462ff28abbb3f396095463482a1e063213b9526a7225275980c77eaf",
+    "path": "audit_mixed.py",
+    "replacements": [
+      [
+        "pending=A.check_pending_axes(ctx);receipt=A.check_roles(ctx,roles)",
+        "import blocknorm_certificate as BN;ctx['blocknorm']=BN.certify_context(ctx,roles,dirs,source_parent=parent);pending=A.check_pending_axes(ctx);receipt=A.check_roles(ctx,roles)"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "4e7b5ddd11b23c92ab26bc0c80884ed64a2d45e9247b5f52bc03f27fa83dbee0",
+    "before_sha256": "f25e1e870df5d5a16a1e367b3df8843cb01644ab4b75895d7939af81e4fcb833",
+    "path": "code/assemble.py",
+    "replacements": [
+      [
+        " assert invoice['global_prefix_bits']==max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())+37+CALLS+CALLS+4",
+        " bn=invoice['blocknorm']\n assert bn['status']=='PASS_TENSOR_BLOCK_NORM_CERTIFICATE' and bn['replicas']==REPLICAS\n assert bn['max_active_depth']==bn['boundary_depth_bits']==18 and bn['active_calls_per_block']==bn['bridges_per_block']==9\n assert bn['block_width_families']==896 and bn['physical_families']==invoice['physical'] and bn['live_families']==invoice['live']\n assert bn['partial_cover_bits']==1 and bn['input_l2_bits']==37 and bn['local_reserve_bits']==128 and bn['retained_payload_bits']==PAYLOAD\n localbits=max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())\n assert bn['local_actual_prefix_bits']==localbits and localbits<=128\n assert invoice['global_prefix_bits']==bn['actual_prefix_bits']==localbits+37+18+bn['stock_l2_bits']+1+4\n assert bn['required_reserve_bits']==128+37+18+bn['stock_l2_bits']+1+4<PAYLOAD\n expected_endpoint=dict(all_arbitrary_columns=632,helper_to_data_response_zero=True,centres_first_clear_and_terminal_zero=8,zero_buffers_allocated_and_cleared=72,coefficient_work_contract='unchanged audited clear-before-and-after Horner macro')\n assert bn['endpoint_replay']=={pid:{o:expected_endpoint for o in ('forward','backward')} for pid in invoice['providers']}"
+      ],
+      [
+        " stock=group*invoice['physical'];streamed_mass=group*owner['rank_mass']",
+        " stock=group*invoice['physical'];streamed_mass=group*owner['rank_mass']\n assert bn['physical_stock_bits']==stock.bit_length() and bn['stock_l2_bits']==(stock.bit_length()+1)//2<=1330"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "b7a6a7dbca02aec52d7807ed3104362b0fab1014d2f624b5fe638a3f30f65133",
+    "before_sha256": "d7675ff0b0994b29541d37eaa3010c5f39bb1447700c9f8e750522bf8c951f56",
+    "path": "code/assembly_controls.py",
+    "replacements": [
+      [
+        "        i['global_prefix_bits'] = 1 + 37 + CALLS + CALLS + 4",
+        "        i['global_prefix_bits'] = 1 + 37 + 18 + i['blocknorm']['stock_l2_bits'] + 1 + 4"
+      ],
+      [
+        "        ('wrong_global_prefix_sum', lambda o, i: i.__setitem__('global_prefix_bits', 224)),",
+        "        ('wrong_global_prefix_sum', lambda o, i: i.__setitem__('global_prefix_bits', 224)),\n        ('missing_blocknorm', lambda o,i:i.pop('blocknorm')),\n        ('understated_active_depth',lambda o,i:i['blocknorm'].__setitem__('max_active_depth',17)),\n        ('understated_full_stock_norm',lambda o,i:i['blocknorm'].__setitem__('stock_l2_bits',10)),\n        ('missing_partial_cover_margin',lambda o,i:i['blocknorm'].__setitem__('partial_cover_bits',0)),\n        ('forged_helper_response',lambda o,i:i['blocknorm']['endpoint_replay'][next(iter(i['providers']))]['forward'].__setitem__('helper_to_data_response_zero',False)),"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "9612cc95bfa2a36a9d9cbdcedc557f28f52e83f20f113ab21d0d54cf9c190be2",
+    "before_sha256": "1d965b7a329b98008fcc67e73d03dcf6e75f0f33c2858a39f1182bb3d0ed0ea1",
+    "path": "freeze_spec.py",
+    "replacements": [
+      [
+        "spec['expected']['assembly_controls_rejected'] = 32 + sum(",
+        "spec['expected']['assembly_controls_rejected'] = 37 + sum("
+      ]
+    ]
+  },
+  {
+    "after_sha256": "cda0f3a63c5c92c0ff45f7f3a200567d7931fd421836e72ea3b8534f6ee24dcc",
+    "before_sha256": "3ec4330ede0db3c6daa453b0366817be9435c85c8c3213a0c35c442c96c1a955",
+    "path": "replay.py",
+    "replacements": [
+      [
+        "len(rd(work/'ADMISSION-CONTROLS.json')['rejected_controls'])==114",
+        "len(rd(work/'ADMISSION-CONTROLS.json')['rejected_controls'])==119"
+      ]
+    ]
+  },
+  {
+    "after_sha256": "55db009f9ecdff75876984f39de9b75055c6b6f7db06e51424c22085cde44993",
+    "before_sha256": "114a80b70c8c4819f10adf88aefc1571b18337e5da92bcff2ca3aa001650b83c",
+    "path": "verify.py",
+    "replacements": [
+      [
+        "['replay.py','freeze_spec.py','audit_mixed.py','independent_core.py','geometry_controls.py','audit_fast.py']",
+        "['replay.py','freeze_spec.py','audit_mixed.py','independent_core.py','geometry_controls.py','audit_fast.py','blocknorm_certificate.py']"
+      ],
+      [
+        "controls=dict(admission=114,bit=12,controller=15,independent_owner=8,geometry=6)",
+        "controls=dict(admission=119,bit=12,controller=15,independent_owner=8,geometry=6)"
+      ]
+    ]
+  }
+]
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/STAGES.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/STAGES.json
new file mode 100644
index 0000000000..411a18dbfd
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/STAGES.json
@@ -0,0 +1,113 @@
+[
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/package/reconstruct.py",
+      "--out",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/owners"
+    ],
+    "exit_code": 0,
+    "log_sha256": "f5ce15f525b3ab88f106aea3a19f2d17b8e652cd93a36edfc38a8c1bc660752a",
+    "name": "owners",
+    "script_sha256": "5472811c24aef3852dc7e189dff5060076a6c0b25bfde928da50dcfe9b5bdc15",
+    "seconds": 5.306561270000202
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/package/lift_parent.py",
+      "--package",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/package",
+      "--owners",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/owners",
+      "--out",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/parent-data"
+    ],
+    "exit_code": 0,
+    "log_sha256": "7b6249a123ca39fae7b7a6339dd9e8ae8777b081f4336418f2cc101704b70644",
+    "name": "parent-lift",
+    "script_sha256": "9a1edd7d4ab4a2f2ac8d15b42b7e40f93653d65026bac59e4c1ce80b486bd60e",
+    "seconds": 12.887588180999956
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/package/new/rebind.py",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/package",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546/local",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/rebound"
+    ],
+    "exit_code": 0,
+    "log_sha256": "af1f74e461bf7a97fc1a1160996622ad7ccfb5247bd0d4ba6f7f8f7509ea59e7",
+    "name": "rebind",
+    "script_sha256": "52f8b4cec2dab69cbe590e1fd0f7a68e1b35de5a540bd22fd2adfce07a92b46b",
+    "seconds": 0.9551140359999408
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/layout/packing74/replay.py",
+      "--data",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/layout/packing74/candidate",
+      "--work",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/discovery",
+      "--local",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local",
+      "--discover"
+    ],
+    "exit_code": 0,
+    "log_sha256": "b9eee8456840134be120e850a1b740ddd1ddcf4a412538334c666ce656f7427a",
+    "name": "discovery",
+    "script_sha256": "cda0f3a63c5c92c0ff45f7f3a200567d7931fd421836e72ea3b8534f6ee24dcc",
+    "seconds": 119.93582193300062
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/package/outer/check_ledger.py"
+    ],
+    "exit_code": 0,
+    "log_sha256": "841de2e40540b7726625e87ae31f127f874cb952f7eeb348ab3c219068b88ad9",
+    "name": "outer-check_ledger.py",
+    "script_sha256": "1dd56009986eb14dd6603c9193c7ad71dd45c7d005bf71c9cd3f916e66f54d98",
+    "seconds": 0.0741117919997123
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/package/outer/independent_check.py"
+    ],
+    "exit_code": 0,
+    "log_sha256": "a4f202e82e79aafaa6f65adf270aab65ea8ce5530002e7866d9b7ee2ef34fb4e",
+    "name": "outer-independent_check.py",
+    "script_sha256": "a5a0361539ec7cae9eb6c0371f857919335a1720040f22af291aa3e34fc864c7",
+    "seconds": 0.030468384000414517
+  },
+  {
+    "command": [
+      "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+      "-B",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/package/verify_release.py",
+      "--main",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier",
+      "--work",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/release",
+      "--native-cache",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache",
+      "--jobs",
+      "2"
+    ],
+    "exit_code": 0,
+    "log_sha256": "b8c1f13bb79e1c866d7e66c4f0d91bbb49adfe7cbcea33d5cae2dff9c1f59aa6",
+    "name": "release",
+    "script_sha256": "6cfefe80c02a6c0f243f50ca9e146e1ab1440b84a033d8a71d42be5a5fa27f6b",
+    "seconds": 353.6596332910003
+  }
+]
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/ASSEMBLY.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/ASSEMBLY.json
new file mode 100644
index 0000000000..894af822a6
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/ASSEMBLY.json
@@ -0,0 +1,516 @@
+{
+  "status": "PASS_GAUGE44_NATIVE_EXACT_GLOBAL_ASSEMBLY",
+  "kappa": "858571873919839/500000000000000000",
+  "kappa_decimal": "0.001717143747839678",
+  "complex_lower": "86004870116989085803/50000000000000000000000",
+  "complex_decimal": "0.00172009740233978171606",
+  "bit_lower": "1733427039589844234749/1000000000000000000000000",
+  "bit_decimal": "0.001733427039589844234749",
+  "binding": "complex",
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+        5,
+        6,
+        7
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+    "lambda_above_internal": "1005570066234458997244021154515200765495395037/5846006549323611672814739330865132078623730171904000000000000000000000000000",
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+    "alpha_positive": "100557006623445899724402118349384099555483865176269136570691590240714669024244021154515200765495395037/58560622499859562627871795424082729461462152042795119576909695984690092099260000000000000000000000000000",
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+  },
+  "conservative_controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "model_controls": [
+    "native_complex_endpoint_rejected_with_old_surcharge",
+    "omitting_bit_surcharge_would_fail_next_endpoint_rejection"
+  ],
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+  "template_sha256": "9804d837fb43174e02dd0c73cb8f25dc3d0a1b447ccce31ff1d3afdfc35a1cf7",
+  "input_sha256": {
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+    "fresh_invoice": "a847e6e9abda6ccb361d16f8593c22cdc8a222e117c13bff67131464de143793",
+    "package:inputs/PR589-EXPECTED.json": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4",
+    "engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482",
+    "engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098",
+    "engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c"
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+    "repository": "CrocSwap/integer-mult-bounds",
+    "commit": "a5afc8c6169ea61ba7c51dfd3cade02cc7b13b46",
+    "merged_as": "b3eb785ac5b4b1ca2beea0f80db078a505626a90",
+    "path": "research/e8-bit-p111-tuned/tune/EXPECTED.json",
+    "git_blob_sha1": "e293ddc557742637f9f679f083a1a282d87b1b13",
+    "word": {
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+      "decoder_constant": 63,
+      "copy_ranks": [
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+        7,
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+    },
+    "derived_deficit": 10272,
+    "deficit_formula": "T(2Kv-L*cst), L=9 T=32 K=4 M=64",
+    "replay_scope": "Cited unchanged supplier; this assembly reprices its full profile and does not rebuild its bit circuit."
+  },
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+        6,
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+    "literal_scalar_guard": "1",
+    "row_product_gap": "23971789/25",
+    "balanced_prefix_above_kappa": "81344561754153978813621155302985105373386065995201126755297917787636355497/118304287878851809459552161895319699649512313225527908351696144670048323588500000000000000000",
+    "coordinate_movement_above_kappa": "263474785645225255427426476569119598997327304614178656433/89202980794122492566142873090593446023921664000000000000000000",
+    "compact_phase_layer_above_kappa": "1626891234846471000514719487140597783677081920604997908654902539049334820599903352823/2366085757577036189191043237906393992990246264510558167033922893400966471770000000000000000000000000000",
+    "bulk_exposure_above_kappa": "263474785645225255427426476569119598997327304614178656433/89202980794122492566142873090593446023921664000000000000000000",
+    "Gaussian_arithmetic_above_kappa": "2603025975896318746278173350776419048157714712547411429718477552500971086563903352823/3785737212123257902705669180650230388784394023216893067254276629441546354832000000000000000000000000000",
+    "scalar_work_above_kappa": "13015129880428028034421681229558512535951131159933155654396611029318424590179903352823/18928686060616289513528345903251151943921970116084465336271383147207731774160000000000000000000000000000",
+    "dimension_above_kappa": "117897996942304217806226312193401205373861125092508755280820700805460964088397917787636355497/118304287878851809459552161895319699649512313225527908351696144670048323588500000000000000000"
+  },
+  "controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "scope": "Conditional R480 seven-slot k8 construction with a source-bound replica count. The owner map attains the fixed-inventory bin bound. The full conservative invoice, native moment correction, PR589 bit surcharge and 47 outer inequalities are checked. Local admission and all-size/compiler, mutable-source, whole-call hosting, precision/tape, exact-recovery, analytic-transfer and bit H1-H5 assumptions remain."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/INDEPENDENT.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/INDEPENDENT.json
new file mode 100644
index 0000000000..287b36457b
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/INDEPENDENT.json
@@ -0,0 +1,212 @@
+{
+  "status": "PASS_INDEPENDENT_VARIABLE_T_LITERAL_WINDOWS_CHARTS_PREFIX_ROW",
+  "roles": 271728,
+  "calls": 666,
+  "source_events_per_replica": 30,
+  "expanded_replica_events": 2220,
+  "bridge_events": 666,
+  "literal_windows": 1332,
+  "checked_whole_helper_widths": 271728,
+  "checked_busy_family_windows": 271728,
+  "orthogonal_port_bases": 112,
+  "actual_73_axis_charts": 6458,
+  "checked_slice_prefixes": 149184,
+  "local_profiles": {
+    "gauge44": {
+      "1": 2394,
+      "2": 642,
+      "4": 128,
+      "8": 8,
+      "3": 266,
+      "5": 26
+    },
+    "extra": {
+      "1": 2394,
+      "2": 642,
+      "4": 128,
+      "8": 8,
+      "3": 266,
+      "5": 26
+    }
+  },
+  "width_inventories": {
+    "gauge44": {
+      "9": 234,
+      "4": 26,
+      "8": 84,
+      "7": 62,
+      "5": 2
+    },
+    "extra": {
+      "9": 234,
+      "4": 26,
+      "8": 84,
+      "7": 62,
+      "5": 2
+    }
+  },
+  "idle": {
+    "1": 17316,
+    "2": 1,
+    "3": 6394,
+    "5": 8880,
+    "16": 1,
+    "48": 26758
+  },
+  "profile": {
+    "1": 1611720,
+    "2": 427573,
+    "3": 183550,
+    "4": 85248,
+    "5": 26196,
+    "8": 5328,
+    "16": 1,
+    "48": 26758
+  },
+  "live": 66304,
+  "physical": 66794,
+  "rank_mass": 4816512,
+  "deficit": 23680,
+  "namespace": {
+    "data": [
+      0,
+      66304
+    ],
+    "centres": [
+      66304,
+      66312
+    ],
+    "tableau": [
+      66312,
+      66720
+    ],
+    "zero_buffers": [
+      66720,
+      66792
+    ],
+    "coefficient": [
+      66792,
+      66794
+    ]
+  },
+  "local_prefix_bits": 70,
+  "local_prefix_from_native_receipt": true,
+  "local_profile_recounted": true,
+  "prefix_formula": {
+    "local_scalar": 70,
+    "input_l2": 37,
+    "invocations": 666,
+    "bridges": 666,
+    "active_block_depth": 18,
+    "stock_l2": 1322,
+    "partial_cover": 1,
+    "margin": 4
+  },
+  "blocknorm": {
+    "status": "PASS_TENSOR_BLOCK_NORM_CERTIFICATE",
+    "replicas": 74,
+    "physical_families": 66794,
+    "live_families": 66304,
+    "max_active_depth": 18,
+    "boundary_depth_bits": 18,
+    "stock_l2_bits": 1322,
+    "stocknorm_bits": 1322,
+    "physical_stock_bits": 2644,
+    "partial_cover_bits": 1,
+    "local_actual_prefix_bits": 70,
+    "local_reserve_bits": 128,
+    "input_l2_bits": 37,
+    "actual_prefix_bits": 1452,
+    "required_reserve_bits": 1510,
+    "retained_payload_bits": 2048,
+    "foreign_helper_roles_checked": 250370,
+    "endpoint_replay": {
+      "gauge44": {
+        "forward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        },
+        "backward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        }
+      },
+      "extra": {
+        "forward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        },
+        "backward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        }
+      }
+    },
+    "scope": "Pre-emission finite premises only. Caller must retain exact source projection, actual phase/primitive audits, check_roles windows/charts and complete release."
+  },
+  "prefix_bits": 1452,
+  "charged_prefix_bits": 2048,
+  "physical_stock_bits": 2644,
+  "physical_row_coefficient": 19545,
+  "row_limit": 20161,
+  "scope": "Finite role/window/chart and inherited prefix/row obligations. Requires separately admitted local supplier and emitted controller, complete finite invoice, exact moments and outer assembly; no all-size theorem is asserted.",
+  "controls_rejected": [
+    {
+      "name": "private_namespace_collision",
+      "reason": "private-namespace collision"
+    },
+    {
+      "name": "copy_replica_alias",
+      "reason": "role invocation time"
+    },
+    {
+      "name": "missing_whole_helper",
+      "reason": "complete helper role count"
+    },
+    {
+      "name": "split_whole_helper",
+      "reason": "complete helper role count"
+    },
+    {
+      "name": "truncated_helper_width",
+      "reason": "whole-helper residual width"
+    },
+    {
+      "name": "cross_idle_boundary",
+      "reason": "strict bridge-aware idle window"
+    },
+    {
+      "name": "cross_child_pending_axis_alias",
+      "reason": "overlapping pending children on one family"
+    },
+    {
+      "name": "wrong_provider_at_changed_call",
+      "reason": "whole-helper residual width"
+    }
+  ],
+  "disjoint_pending_child_axis_checks": 2016,
+  "provider_counts": {
+    "extra": 416,
+    "gauge44": 250
+  },
+  "input_sha256": {
+    "/workspace/scratch/bc9e58970b2a/pair-admission/layout/packing74/candidate/PLAN.json": "b322579eb05881adf0b502528f82d69d53a55df7bb64946a504ffcd4f5dc6b5b",
+    "/workspace/scratch/bc9e58970b2a/pair-admission/layout/packing74/candidate/DISPATCH.json": "65e435bd68e97243c003677271b88485a29d4d0fae2dff1354100404a145e74c",
+    "/workspace/scratch/bc9e58970b2a/pair-admission/layout/packing74/candidate/OWNERS.json.gz": "e6bcc70369187a061225511460f6ac7378a3348acf83d7b8f2847ad55488bfe9",
+    "/workspace/scratch/bc9e58970b2a/pair-admission/layout/demotions1148-round43/baseline-replay/parent/t16/global8/base/split-centres/GLOBAL-TEMPLATE.json.gz": "ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local/CANONICAL-WORD.json.gz": "3c6499ee5d98c3c7ba3aecc321f94cdda1d06a3e2e169c7fc3e3644958ab53dd",
+    "/workspace/scratch/bc9e58970b2a/pair-admission/layout/packing74/native-extra/local/CANONICAL-WORD.json.gz": "20b343ff9f7e98111ab1318bb460d2988901500b48dbec211790efcd4ce7354d"
+  }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/RESULT.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/RESULT.json
new file mode 100644
index 0000000000..24598166f6
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/RESULT.json
@@ -0,0 +1,262 @@
+{
+  "status": "DISCOVERY",
+  "kappa": "858571873919839/500000000000000000",
+  "kappa_decimal": "0.001717143747839678",
+  "steps": [
+    {
+      "name": "bind",
+      "seconds": 1.2054775710003014,
+      "exit_code": 0,
+      "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+    },
+    {
+      "name": "emit",
+      "seconds": 24.205414757000653,
+      "exit_code": 0,
+      "log_sha256": "a72b4d2987db76241b319321a47193cc1e9e8ea2d159e248abbedb99ffdcb9e1"
+    },
+    {
+      "name": "audit",
+      "seconds": 83.29173096299928,
+      "exit_code": 0,
+      "log_sha256": "1639ed5c2dfb6400d22f82c405ba53c0dffc85308d190d9792f55cb41b60de07"
+    },
+    {
+      "name": "invoice",
+      "seconds": 4.2619282089999615,
+      "exit_code": 0,
+      "log_sha256": "3baf980268f9ed8cfb1f465e71ca2cdc8f04b8b6cd9fb3f51575a61c5e467561"
+    },
+    {
+      "name": "assembly",
+      "seconds": 0.6609403339998607,
+      "exit_code": 0,
+      "log_sha256": "bc338da251d6fd3e5e4557856af672c42d7eaecf43e8ebae2cda0e12ac81a34d"
+    },
+    {
+      "name": "freeze",
+      "seconds": 0.044724392999341944,
+      "exit_code": 0,
+      "log_sha256": "88ef7d69f9fa233fd6dc056ac230873381deda17e13d66900eb61a114d77cf30"
+    },
+    {
+      "name": "independent",
+      "seconds": 6.153106939999816,
+      "exit_code": 0,
+      "log_sha256": "d2c176fb1b9778e4fb8b98b6272d5f713d676ea3fed84da20213eca036bb58fe"
+    }
+  ],
+  "independent": {
+    "status": "PASS_INDEPENDENT_VARIABLE_T_LITERAL_WINDOWS_CHARTS_PREFIX_ROW",
+    "roles": 271728,
+    "calls": 666,
+    "source_events_per_replica": 30,
+    "expanded_replica_events": 2220,
+    "bridge_events": 666,
+    "literal_windows": 1332,
+    "checked_whole_helper_widths": 271728,
+    "checked_busy_family_windows": 271728,
+    "orthogonal_port_bases": 112,
+    "actual_73_axis_charts": 6458,
+    "checked_slice_prefixes": 149184,
+    "local_profiles": {
+      "gauge44": {
+        "1": 2394,
+        "2": 642,
+        "4": 128,
+        "8": 8,
+        "3": 266,
+        "5": 26
+      },
+      "extra": {
+        "1": 2394,
+        "2": 642,
+        "4": 128,
+        "8": 8,
+        "3": 266,
+        "5": 26
+      }
+    },
+    "width_inventories": {
+      "gauge44": {
+        "9": 234,
+        "4": 26,
+        "8": 84,
+        "7": 62,
+        "5": 2
+      },
+      "extra": {
+        "9": 234,
+        "4": 26,
+        "8": 84,
+        "7": 62,
+        "5": 2
+      }
+    },
+    "idle": {
+      "1": 17316,
+      "2": 1,
+      "3": 6394,
+      "5": 8880,
+      "16": 1,
+      "48": 26758
+    },
+    "profile": {
+      "1": 1611720,
+      "2": 427573,
+      "3": 183550,
+      "4": 85248,
+      "5": 26196,
+      "8": 5328,
+      "16": 1,
+      "48": 26758
+    },
+    "live": 66304,
+    "physical": 66794,
+    "rank_mass": 4816512,
+    "deficit": 23680,
+    "namespace": {
+      "data": [
+        0,
+        66304
+      ],
+      "centres": [
+        66304,
+        66312
+      ],
+      "tableau": [
+        66312,
+        66720
+      ],
+      "zero_buffers": [
+        66720,
+        66792
+      ],
+      "coefficient": [
+        66792,
+        66794
+      ]
+    },
+    "local_prefix_bits": 70,
+    "local_prefix_from_native_receipt": true,
+    "local_profile_recounted": true,
+    "prefix_formula": {
+      "local_scalar": 70,
+      "input_l2": 37,
+      "invocations": 666,
+      "bridges": 666,
+      "active_block_depth": 18,
+      "stock_l2": 1322,
+      "partial_cover": 1,
+      "margin": 4
+    },
+    "blocknorm": {
+      "status": "PASS_TENSOR_BLOCK_NORM_CERTIFICATE",
+      "replicas": 74,
+      "physical_families": 66794,
+      "live_families": 66304,
+      "max_active_depth": 18,
+      "boundary_depth_bits": 18,
+      "stock_l2_bits": 1322,
+      "stocknorm_bits": 1322,
+      "physical_stock_bits": 2644,
+      "partial_cover_bits": 1,
+      "local_actual_prefix_bits": 70,
+      "local_reserve_bits": 128,
+      "input_l2_bits": 37,
+      "actual_prefix_bits": 1452,
+      "required_reserve_bits": 1510,
+      "retained_payload_bits": 2048,
+      "foreign_helper_roles_checked": 250370,
+      "endpoint_replay": {
+        "gauge44": {
+          "forward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          },
+          "backward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          }
+        },
+        "extra": {
+          "forward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          },
+          "backward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          }
+        }
+      },
+      "scope": "Pre-emission finite premises only. Caller must retain exact source projection, actual phase/primitive audits, check_roles windows/charts and complete release."
+    },
+    "prefix_bits": 1452,
+    "charged_prefix_bits": 2048,
+    "physical_stock_bits": 2644,
+    "physical_row_coefficient": 19545,
+    "row_limit": 20161,
+    "scope": "Finite role/window/chart and inherited prefix/row obligations. Requires separately admitted local supplier and emitted controller, complete finite invoice, exact moments and outer assembly; no all-size theorem is asserted.",
+    "controls_rejected": [
+      {
+        "name": "private_namespace_collision",
+        "reason": "private-namespace collision"
+      },
+      {
+        "name": "copy_replica_alias",
+        "reason": "role invocation time"
+      },
+      {
+        "name": "missing_whole_helper",
+        "reason": "complete helper role count"
+      },
+      {
+        "name": "split_whole_helper",
+        "reason": "complete helper role count"
+      },
+      {
+        "name": "truncated_helper_width",
+        "reason": "whole-helper residual width"
+      },
+      {
+        "name": "cross_idle_boundary",
+        "reason": "strict bridge-aware idle window"
+      },
+      {
+        "name": "cross_child_pending_axis_alias",
+        "reason": "overlapping pending children on one family"
+      },
+      {
+        "name": "wrong_provider_at_changed_call",
+        "reason": "whole-helper residual width"
+      }
+    ],
+    "disjoint_pending_child_axis_checks": 2016,
+    "provider_counts": {
+      "extra": 416,
+      "gauge44": 250
+    },
+    "input_sha256": {
+      "/workspace/scratch/bc9e58970b2a/pair-admission/layout/packing74/candidate/PLAN.json": "b322579eb05881adf0b502528f82d69d53a55df7bb64946a504ffcd4f5dc6b5b",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/layout/packing74/candidate/DISPATCH.json": "65e435bd68e97243c003677271b88485a29d4d0fae2dff1354100404a145e74c",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/layout/packing74/candidate/OWNERS.json.gz": "e6bcc70369187a061225511460f6ac7378a3348acf83d7b8f2847ad55488bfe9",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/layout/demotions1148-round43/baseline-replay/parent/t16/global8/base/split-centres/GLOBAL-TEMPLATE.json.gz": "ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local/CANONICAL-WORD.json.gz": "3c6499ee5d98c3c7ba3aecc321f94cdda1d06a3e2e169c7fc3e3644958ab53dd",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/layout/packing74/native-extra/local/CANONICAL-WORD.json.gz": "20b343ff9f7e98111ab1318bb460d2988901500b48dbec211790efcd4ce7354d"
+    }
+  },
+  "scope": "Conditional finite construction only; unchanged exact-head PR1297 native providers explicitly reused; all inherited theorem obligations retained."
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/STAGES.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/STAGES.json
new file mode 100644
index 0000000000..cd811b2ee7
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/STAGES.json
@@ -0,0 +1,44 @@
+[
+  {
+    "name": "bind",
+    "seconds": 1.2054775710003014,
+    "exit_code": 0,
+    "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+  },
+  {
+    "name": "emit",
+    "seconds": 24.205414757000653,
+    "exit_code": 0,
+    "log_sha256": "a72b4d2987db76241b319321a47193cc1e9e8ea2d159e248abbedb99ffdcb9e1"
+  },
+  {
+    "name": "audit",
+    "seconds": 83.29173096299928,
+    "exit_code": 0,
+    "log_sha256": "1639ed5c2dfb6400d22f82c405ba53c0dffc85308d190d9792f55cb41b60de07"
+  },
+  {
+    "name": "invoice",
+    "seconds": 4.2619282089999615,
+    "exit_code": 0,
+    "log_sha256": "3baf980268f9ed8cfb1f465e71ca2cdc8f04b8b6cd9fb3f51575a61c5e467561"
+  },
+  {
+    "name": "assembly",
+    "seconds": 0.6609403339998607,
+    "exit_code": 0,
+    "log_sha256": "bc338da251d6fd3e5e4557856af672c42d7eaecf43e8ebae2cda0e12ac81a34d"
+  },
+  {
+    "name": "freeze",
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/split-centres/CLIFFORD-RECIPES.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/split-centres/CLIFFORD-RECIPES.json
new file mode 100644
index 0000000000..526192f505
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/split-centres/CLIFFORD-RECIPES.json
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/split-centres/CLIFFORD-REVIEW.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/split-centres/CLIFFORD-REVIEW.json
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+    "wrong_child_rank",
+    "missing_pre_wrapper",
+    "missing_post_wrapper",
+    "wrapper_with_wrong_frame",
+    "wrapper_in_wrong_phase",
+    "wrapper_on_a_data_register",
+    "wrapper_on_a_target_register",
+    "wrapper_on_a_centre_register"
+  ],
+  "scope": "Literal forward and inverse-transpose replay on every arbitrary data/helper column, physical frame incidence, ordered paid wrappers, cleared private work and prefix coefficients. Global hosting and outer exponent are separate."
+}
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new file mode 100644
index 0000000000..c2e057a3ab
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+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/split-centres/INDEPENDENT-REPLAY.json
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+{
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+      "prefix_l1_upper": "1044730572396",
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+      "charged_payload_bits": 192,
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+    "missing_post_wrapper",
+    "wrapper_with_wrong_frame",
+    "wrapper_in_wrong_phase",
+    "wrapper_on_a_data_register",
+    "wrapper_on_a_target_register",
+    "wrapper_on_a_centre_register"
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+  "scope": "Literal forward and inverse-transpose replay on every arbitrary data/helper column, physical frame incidence, ordered paid wrappers, cleared private work and prefix coefficients. Global hosting and outer exponent are separate."
+}
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new file mode 100644
index 0000000000..ba436009d7
--- /dev/null
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new file mode 100644
index 0000000000..2b019f86cd
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+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/split-centres/LOCAL-CHECKS.json
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/split-centres/RESIDUAL-ADAPTERS.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/split-centres/RESIDUAL-ADAPTERS.json
new file mode 100644
index 0000000000..2a81814dca
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/split-centres/WRAPPER-CHECKS.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/split-centres/WRAPPER-CHECKS.json
new file mode 100644
index 0000000000..5efe2efe55
--- /dev/null
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json
new file mode 100644
index 0000000000..d9a4f84211
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json
@@ -0,0 +1 @@
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/runtime/construction/leaver/PIVOT-SWAP-k8.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/runtime/construction/leaver/PIVOT-SWAP-k8.json
new file mode 100644
index 0000000000..7a8edeb1e4
--- /dev/null
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/runtime/data/SPEC.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/discovery/runtime/data/SPEC.json
new file mode 100644
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/RELEASE-RECEIPT.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/RELEASE-RECEIPT.json
new file mode 100644
index 0000000000..2460e4846c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/RELEASE-RECEIPT.json
@@ -0,0 +1,7 @@
+{
+  "status": "PASS_RELEASE",
+  "kappa_decimal": "0.0017200974023397817160599999999999999999999998999999999999999999999999",
+  "manifest_sha256": "34ef9abf9ef04ccaaf79dbd84b964bb704a448b95629ffd2a8200f709c8b0505",
+  "proof": "Supplier: the package's own unchanged `verify.py` (retained PR1297 provider and parent admission, owner reconstruction, parent lift, strict T74 admission, geometry controls): `PASS_T74_EXACT_FILL_COMPLETE_FINITE_ADMISSION`, native reuse {'base': 'e8e6e78ff7422275c38324499e1f33fb2ecd30de9503aef2b8f1ee80d8c4df8e', 'extra': '7b0e9fbda32749aabc7e156d9fe09bceb0624a178628fe69e5dfea783462f905'}; its complex endpoint 86004870116989085803/500000000... brackets the ledger's b = 172009740233978171605999999999999999999999999999999999999999999999999999999999999999999999999999999999/100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000. Outer (PR1673 capped phase-cell fusion): regenerated exact ledger (63 strict inequalities: the 62 retained rows plus the explicit main-binding row gaussian_above_main, the fixed-grid maximum kappa = C - 1/F - B asserted, 17 rejecting controls incl. the old g-factor union row, the old linear and old-theta chirp guards, the old 2*beta tag test, epsilon at 1 or at the r0 slack and beta outside its window, larger endpoint rejected by the native moment), independent balance derivation, the exact union-schedule simulation, the (retained, not used for kappa) structured-boundary displacement-rank check, the gauge-free identity/symbol/circuit checks, PR1786's finite prime/underflow controls and 19 exact evidence replays all pass. Conditional kappa 0.0017200974023397817160599999999999999999999998999999999999999999999999 (union schedule outer/UNION-SCHEDULE.md; explicit Strassen boundary tau=45/16 (the structured boundary of outer/STRUCTURED-BOUNDARY.md is not used); gauge-free interiors outer/GAUGEFREE-INTERIORS.md; fine source-prime padding PR1786 at the free point epsilon=1-(1025/1024)e-104, outer/FINE-PADDING-COMPOSITION.md; fixed-grid maximum of PR2180/PR2161 (dataisfire), outer/PROOF-GRID-MAX.md; exact-integer coarse exponential PR2168/PR2184 (dataisfire) at the one 24-digit rejection call).",
+  "seconds": 353.61
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/CLAIM.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/CLAIM.json
new file mode 100644
index 0000000000..576df917a7
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/CLAIM.json
@@ -0,0 +1,18 @@
+{
+  "baseline_head": "c50d12e4720cd1fef2b5a65e337e37de9731879a",
+  "baseline_kappa": "17186585083049300048189999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "baseline_pr": 2848,
+  "headline_kappa_source": "outer/OUTER-CLAIM.json",
+  "kappa": "858571873919839/500000000000000000",
+  "kappa_decimal": "0.001717143747839678",
+  "kappa_layers": "CLAIM.json kappa / kappa_decimal is the supplier-only kappa: the strict supplier assembly under its own (older) outer witness, new/SPEC.json expected.kappa. The headline conditional kappa of this package is the outer ledger kappa in outer/OUTER-CLAIM.json (= outer/LEDGER.json), obtained by re-evaluating the same supplier endpoint under the fine-prime-padding outer at the fixed-grid maximum; it is the number compared with the baseline.",
+  "outer_refinement": {
+    "bootstrap_steps": 12,
+    "endpoint_digits": 24,
+    "grid_digits": 18,
+    "margin_digits": 28
+  },
+  "scope": "Conditional finite construction only. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape, exact recovery, analytic transfer, PR559 recurrence correction and PR589 bit H1-H5 assumptions remain. No unconditional theorem, full Lean certification, or global packing claim.",
+  "status": "CONDITIONAL_CANDIDATE_EXPECTED_BY_REPLAY",
+  "verification": "Candidate discovered from literal fill; full original verification must pass separately."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/fine-padding.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/fine-padding.json
new file mode 100644
index 0000000000..4e864c8828
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/fine-padding.json
@@ -0,0 +1,203 @@
+{
+  "generic_locality": {
+    "contraction_gap_power": 40,
+    "core_power": 128,
+    "halo_power": 48,
+    "inverse_power": 10,
+    "iteration_power": 42,
+    "norm_power": 10,
+    "radius_power": 43,
+    "scale_power": 20
+  },
+  "primality_method": "Deterministic trial division through integer square root",
+  "prime_fixtures": [
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+        "dyadic_number_used_as_prime": true,
+        "non_dyadic_target": true,
+        "prime_outside_requested_interval": true
+      },
+      "source_to_target_ratio": "46222689294071883672743047238354215767573938196401/46768052394588893382517914646921056628989841375232",
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+        "262129/133955599",
+        "262125/133955603",
+        "524283/267911173",
+        "524259/267911197",
+        "524217/267911239"
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+        "non_dyadic_target": true,
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+      "rejected_controls": {
+        "duplicate_source_prime": true,
+        "dyadic_number_used_as_prime": true,
+        "non_dyadic_target": true,
+        "prime_outside_requested_interval": true
+      },
+      "source_to_target_ratio": "46733838327730162546048476197820517390950039245807/46768052394588893382517914646921056628989841375232",
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+      "theta": [
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+        "16357/134201371",
+        "32759/268402697",
+        "32753/268402703",
+        "32745/268402711"
+      ]
+    },
+    {
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+      "rejected_controls": {
+        "duplicate_source_prime": true,
+        "dyadic_number_used_as_prime": true,
+        "non_dyadic_target": true,
+        "prime_outside_requested_interval": true
+      },
+      "source_to_target_ratio": "46759548266497182457841548208502175273411449196703/46768052394588893382517914646921056628989841375232",
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+      "theta": [
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+        "4045/134213683",
+        "4029/134213699",
+        "8177/268427279",
+        "8175/268427281",
+        "8153/268427303"
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+    },
+    {
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+      "primes": [
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+      ],
+      "rejected_controls": {
+        "duplicate_source_prime": true,
+        "dyadic_number_used_as_prime": true,
+        "non_dyadic_target": true,
+        "prime_outside_requested_interval": true
+      },
+      "source_to_target_ratio": "46765969578481191371425264924637371972109227966027/46768052394588893382517914646921056628989841375232",
+      "targets": [
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+        "969/134216759",
+        "2015/268433441",
+        "2013/268433443",
+        "2009/268433447"
+      ]
+    }
+  ],
+  "prime_witness_count": 30,
+  "scope": "Finite arithmetic fixtures and failure witnesses only. The cited prime theorem, analytic conditioning and circuit/halo lemmas remain written mathematical inputs; no finite cutoff or full multiplication implementation is verified here.",
+  "status": "PASS_FINE_PADDING_FINITE_CONTROLS",
+  "strassen_power_gap": 1951441519231,
+  "weight_underflow_control": {
+    "a_lower": "27",
+    "a_upper": "198/7",
+    "alpha": 3,
+    "negative_log_weight_lower": "134152199/9708",
+    "old_precision_rounds_weight_to_zero": true,
+    "online_precision": 4096,
+    "p": 32,
+    "relative_error_exponent_margin": "15225192371/101934",
+    "setup_precision": 331776,
+    "source_prime": 134152199,
+    "target": 134217728,
+    "theta": "65529/134152199"
+  }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/new/SPEC.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/new/SPEC.json
new file mode 100644
index 0000000000..d9476c7165
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/new/SPEC.json
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/outer/B.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/outer/B.json
new file mode 100644
index 0000000000..1cdde09692
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/outer/B.json
@@ -0,0 +1,15 @@
+{
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+  "b_above_endpoint": "1720097402339781716061/1000000000000000000000000",
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+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/outer/INDEPENDENT.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/outer/INDEPENDENT.json
new file mode 100644
index 0000000000..2b816a87a0
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/outer/INDEPENDENT.json
@@ -0,0 +1,43 @@
+{
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+  "scope": "Independent balance derivation and margin comparisons for this package's supplier endpoint; the supplier native admission is bound by verify_release.py; inherited all-size assumptions remain."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/outer/LEDGER.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/outer/LEDGER.json
new file mode 100644
index 0000000000..3100768874
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/outer/LEDGER.json
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+{
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+  "scope": "Conditional fine-prime padding composition. Fresh native admission is required by verify.py. The cited prime theorem, written gauge-free theorem and inherited all-size interfaces are not proved by this arithmetic. No independent human review is claimed.",
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+  "pr1673_kappa": {
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+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/outer/OUTER-CLAIM.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/outer/OUTER-CLAIM.json
new file mode 100644
index 0000000000..fa7403c02c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/outer-tmp/outer/OUTER-CLAIM.json
@@ -0,0 +1,13 @@
+{
+  "b": "certified complex_lower - 1e-104 (outer/B.json)",
+  "baseline_head": "c50d12e4720cd1fef2b5a65e337e37de9731879a",
+  "baseline_kappa": "17186585083049300048189999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "branch": "fine source-prime padding (PR1786, chafreaky; Trudgian's prime theorem; vendor/pr1786) with the gauge-free interiors (PR1758), the radix-distributed union schedule with per-visit tag work and the explicit Strassen boundary (tau=45/16); epsilon=1-1.0009765625e-3080 is a free parameter (outer/FINE-PADDING-COMPOSITION.md): kappa = C - 1/F - B, the fixed-grid maximum (epsilon q is 1.70e-3083 below q); the structured boundary of the previous package is not used; omega_C<=9/4 not used; recertified endpoint: the supplier native endpoint is certified to 1e-3000 (accept at the endpoint, reject at endpoint + 1e-3000, repaired fine engines in integer fixed point), and all free slacks are 1e-3080 or below",
+  "fixed_grid_maximum": "kappa=C-10^-70-10^-46 exactly; same fixed-grid-maximum proof at precision24.",
+  "gain": "1438894034851711241/1000000000000000000000000",
+  "kappa": "0.0017200974023397817160599999999999999999999998999999999999999999999999",
+  "kappa_rational": "17200974023397817160599999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "outer": "PR1673 capped phase-cell fusion (Vlado Vojdanovski)",
+  "retuned_slacks": "Endpoint precision24; free gaps follow outer/check_ledger.py from the frozen SPEC.",
+  "supplier": "PR1661 T74 pivot-566 stack with PR2226 anticipatory dirty borrowing, the PR2312 width exchange, frame refit and kernels, the PR2322 handoffs, the PR2435/PR2447 entrance raise, the PR2436 lifted-target aliases, and the PR2530 (zxv) eight source-partner aliases with an owner fill evacuated by the PR2559 (philippeVV) method; this package: six pre-life hostings (cold hosts 273, 275, 289, 291, 305, 321 host helpers 482, 483, 494, 495, 507, 519), a one-gate frame refit with the retired-lender alias 653<-563, and a new exact owner fill"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/AUDIT-LOCAL-566-base.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/AUDIT-LOCAL-566-base.json
new file mode 100644
index 0000000000..458e2ee113
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/AUDIT-LOCAL-566-base.json
@@ -0,0 +1,137 @@
+{
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/AUDIT-LOCAL-566-extra.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/AUDIT-LOCAL-566-extra.json
new file mode 100644
index 0000000000..9170dbfb9c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/AUDIT-LOCAL-566-extra.json
@@ -0,0 +1,137 @@
+{
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+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/GEOMETRY-CONTROLS.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/GEOMETRY-CONTROLS.json
new file mode 100644
index 0000000000..9f71586085
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/GEOMETRY-CONTROLS.json
@@ -0,0 +1,29 @@
+{
+  "status": "PASS_T74_GEOMETRY_AND_CHARGE_CONTROLS",
+  "rejected": [
+    {
+      "name": "old_prefix",
+      "reason": "strict arithmetic invariant"
+    },
+    {
+      "name": "old_call_count",
+      "reason": "strict arithmetic invariant"
+    },
+    {
+      "name": "old_parent_idle",
+      "reason": "strict arithmetic invariant"
+    },
+    {
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+      "reason": "strict arithmetic invariant"
+    },
+    {
+      "name": "missing_call",
+      "reason": "strict arithmetic invariant"
+    },
+    {
+      "name": "low_row",
+      "reason": "strict arithmetic invariant"
+    }
+  ]
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/LEMMAG-LABELS.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/LEMMAG-LABELS.json
new file mode 100644
index 0000000000..2d92a56ccf
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/LEMMAG-LABELS.json
@@ -0,0 +1,180 @@
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+    "label_permissive": 113,
+    "label_strict": 113,
+    "rejected": true
+   }
+  },
+  "v": 112
+ }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/RESULT.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/RESULT.json
new file mode 100644
index 0000000000..f1e243eb4e
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/RESULT.json
@@ -0,0 +1,104 @@
+{
+  "status": "PASS_T74_EXACT_FILL_COMPLETE_FINITE_ADMISSION",
+  "kappa": "858571873919839/500000000000000000",
+  "kappa_decimal": "0.001717143747839678",
+  "manifest_sha256": "34ef9abf9ef04ccaaf79dbd84b964bb704a448b95629ffd2a8200f709c8b0505",
+  "native_reuse": {
+    "base": true,
+    "extra": true
+  },
+  "provider_verification": "PASS_GLOBAL_MIXED_X54_FUSIONS_NATIVE_AND_STRICT_ADMISSION",
+  "roles": 271728,
+  "prefix_bits": 1452,
+  "charged_prefix_bits": 2048,
+  "physical_row_coefficient": 19545,
+  "row_limit": 20161,
+  "controls": {
+    "admission": 119,
+    "bit": 12,
+    "controller": 15,
+    "independent_owner": 8,
+    "geometry": 6
+  },
+  "stages": [
+    {
+      "name": "fine-engine-oracle",
+      "exit_code": 0,
+      "seconds": 1.9877849599997717,
+      "log_sha256": "ea6df7be568d6461ac54e0d56754797de0f70f2f1ecc335114791445b75795d3"
+    },
+    {
+      "name": "retained-provider-and-parent-admission",
+      "reused_receipt": "e0eefc96567fbb45e19e6de0ca295381dbe0e686c08ddc783639b065c7c791d4",
+      "exit_code": 0,
+      "seconds": 0.6318849909994242
+    },
+    {
+      "name": "rebuild-words-566",
+      "exit_code": 0,
+      "seconds": 2.5810858619997816,
+      "log_sha256": "dcbcbeda80423df29ef008bfac58409378f1fd0a3b9b23fc31ab9f03659dd86f"
+    },
+    {
+      "name": "reconstruct-owners",
+      "exit_code": 0,
+      "seconds": 5.371537922000243,
+      "log_sha256": "f5ce15f525b3ab88f106aea3a19f2d17b8e652cd93a36edfc38a8c1bc660752a"
+    },
+    {
+      "name": "lift-parent",
+      "exit_code": 0,
+      "seconds": 14.81470691100003,
+      "log_sha256": "7b6249a123ca39fae7b7a6339dd9e8ae8777b081f4336418f2cc101704b70644"
+    },
+    {
+      "name": "rebuild-borrow-words",
+      "exit_code": 0,
+      "seconds": 206.32794992299932,
+      "log_sha256": "7d62ee8072164c2f334b5a7abd20fb6bf57722a4eda27c8ed8c1cb52a121040f"
+    },
+    {
+      "name": "shared-kernel-independent-review",
+      "exit_code": 0,
+      "seconds": 12.752779354999802,
+      "log_sha256": "3dc6eb8940cf8a4b993f80129c98b6c4846ad346ccf773a78af225cff3339cc3"
+    },
+    {
+      "name": "audit-local-566-base",
+      "exit_code": 0,
+      "seconds": 0.9725770220002232,
+      "log_sha256": "67a482e0dfadf741bed29eadad6772d9cdd6a14bf3c00b4e230d7b9b458b23ec"
+    },
+    {
+      "name": "audit-local-566-extra",
+      "exit_code": 0,
+      "seconds": 0.9916621379998105,
+      "log_sha256": "945934b17050b76b184df51525b11eb023a66565b0983869f578296ba9085b16"
+    },
+    {
+      "name": "rebind-566",
+      "exit_code": 0,
+      "seconds": 1.029900928000643,
+      "log_sha256": "af1f74e461bf7a97fc1a1160996622ad7ccfb5247bd0d4ba6f7f8f7509ea59e7"
+    },
+    {
+      "name": "lemmag-labels",
+      "exit_code": 0,
+      "seconds": 27.613752436999675,
+      "log_sha256": "91fafdc76824e278546bb51465cf84d60a3513df3f2e8ab9854919c416cd3469"
+    },
+    {
+      "name": "strict-t74",
+      "exit_code": 0,
+      "seconds": 95.43230133999987,
+      "log_sha256": "05becea12e7e00e26beac125ba350a1217b8e811e11ef57d63625eb27cd770a0"
+    },
+    {
+      "name": "geometry-controls",
+      "exit_code": 0,
+      "seconds": 0.6820722709999245,
+      "log_sha256": "0a3ecf05cfa2bebb61fffd2fbb4b244c03d742069e2705d02512699bbf4b01f9"
+    }
+  ],
+  "scope": "Conditional finite construction only. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape, exact recovery, analytic transfer, PR559 recurrence correction and PR589 bit H1-H5 assumptions remain. No unconditional theorem, full Lean certification, or global packing claim."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/STAGES.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/STAGES.json
new file mode 100644
index 0000000000..c37d790e96
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/STAGES.json
@@ -0,0 +1,80 @@
+[
+  {
+    "name": "fine-engine-oracle",
+    "exit_code": 0,
+    "seconds": 1.9877849599997717,
+    "log_sha256": "ea6df7be568d6461ac54e0d56754797de0f70f2f1ecc335114791445b75795d3"
+  },
+  {
+    "name": "retained-provider-and-parent-admission",
+    "reused_receipt": "e0eefc96567fbb45e19e6de0ca295381dbe0e686c08ddc783639b065c7c791d4",
+    "exit_code": 0,
+    "seconds": 0.6318849909994242
+  },
+  {
+    "name": "rebuild-words-566",
+    "exit_code": 0,
+    "seconds": 2.5810858619997816,
+    "log_sha256": "dcbcbeda80423df29ef008bfac58409378f1fd0a3b9b23fc31ab9f03659dd86f"
+  },
+  {
+    "name": "reconstruct-owners",
+    "exit_code": 0,
+    "seconds": 5.371537922000243,
+    "log_sha256": "f5ce15f525b3ab88f106aea3a19f2d17b8e652cd93a36edfc38a8c1bc660752a"
+  },
+  {
+    "name": "lift-parent",
+    "exit_code": 0,
+    "seconds": 14.81470691100003,
+    "log_sha256": "7b6249a123ca39fae7b7a6339dd9e8ae8777b081f4336418f2cc101704b70644"
+  },
+  {
+    "name": "rebuild-borrow-words",
+    "exit_code": 0,
+    "seconds": 206.32794992299932,
+    "log_sha256": "7d62ee8072164c2f334b5a7abd20fb6bf57722a4eda27c8ed8c1cb52a121040f"
+  },
+  {
+    "name": "shared-kernel-independent-review",
+    "exit_code": 0,
+    "seconds": 12.752779354999802,
+    "log_sha256": "3dc6eb8940cf8a4b993f80129c98b6c4846ad346ccf773a78af225cff3339cc3"
+  },
+  {
+    "name": "audit-local-566-base",
+    "exit_code": 0,
+    "seconds": 0.9725770220002232,
+    "log_sha256": "67a482e0dfadf741bed29eadad6772d9cdd6a14bf3c00b4e230d7b9b458b23ec"
+  },
+  {
+    "name": "audit-local-566-extra",
+    "exit_code": 0,
+    "seconds": 0.9916621379998105,
+    "log_sha256": "945934b17050b76b184df51525b11eb023a66565b0983869f578296ba9085b16"
+  },
+  {
+    "name": "rebind-566",
+    "exit_code": 0,
+    "seconds": 1.029900928000643,
+    "log_sha256": "af1f74e461bf7a97fc1a1160996622ad7ccfb5247bd0d4ba6f7f8f7509ea59e7"
+  },
+  {
+    "name": "lemmag-labels",
+    "exit_code": 0,
+    "seconds": 27.613752436999675,
+    "log_sha256": "91fafdc76824e278546bb51465cf84d60a3513df3f2e8ab9854919c416cd3469"
+  },
+  {
+    "name": "strict-t74",
+    "exit_code": 0,
+    "seconds": 95.43230133999987,
+    "log_sha256": "05becea12e7e00e26beac125ba350a1217b8e811e11ef57d63625eb27cd770a0"
+  },
+  {
+    "name": "geometry-controls",
+    "exit_code": 0,
+    "seconds": 0.6820722709999245,
+    "log_sha256": "0a3ecf05cfa2bebb61fffd2fbb4b244c03d742069e2705d02512699bbf4b01f9"
+  }
+]
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/ALIAS-ENUMERATION-43base.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/ALIAS-ENUMERATION-43base.json
new file mode 100644
index 0000000000..2b0e560edc
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/ALIAS-ENUMERATION-43base.json
@@ -0,0 +1,35 @@
+{
+ "prelife_refit_state": {
+  "counts": {
+   "h_used_in_A_or_early": 328,
+   "lender_not_retired": 39207,
+   "dim_too_big": 4751,
+   "endL": 156,
+   "pair": 1
+  },
+  "pairs": [
+   {
+    "h": 653,
+    "L": 563,
+    "p1": 1065,
+    "d": 5,
+    "s": 5,
+    "f1": 5,
+    "width": 4,
+    "dprof": {
+     "4": -1
+    }
+   }
+  ]
+ },
+ "shipped": {
+  "counts": {
+   "h_used_in_A_or_early": 328,
+   "lender_not_retired": 38795,
+   "dim_too_big": 4587,
+   "endL": 130
+  },
+  "pairs": 0
+ },
+ "note": "counts: h_used_in_A_or_early = helpers first used before B (needs the prelude/lifted-target mechanism); the other counts are (h,L) pairs failing that condition"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/ALIAS-ENUMERATION-43extra.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/ALIAS-ENUMERATION-43extra.json
new file mode 100644
index 0000000000..2b0e560edc
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/ALIAS-ENUMERATION-43extra.json
@@ -0,0 +1,35 @@
+{
+ "prelife_refit_state": {
+  "counts": {
+   "h_used_in_A_or_early": 328,
+   "lender_not_retired": 39207,
+   "dim_too_big": 4751,
+   "endL": 156,
+   "pair": 1
+  },
+  "pairs": [
+   {
+    "h": 653,
+    "L": 563,
+    "p1": 1065,
+    "d": 5,
+    "s": 5,
+    "f1": 5,
+    "width": 4,
+    "dprof": {
+     "4": -1
+    }
+   }
+  ]
+ },
+ "shipped": {
+  "counts": {
+   "h_used_in_A_or_early": 328,
+   "lender_not_retired": 38795,
+   "dim_too_big": 4587,
+   "endL": 130
+  },
+  "pairs": 0
+ },
+ "note": "counts: h_used_in_A_or_early = helpers first used before B (needs the prelude/lifted-target mechanism); the other counts are (h,L) pairs failing that condition"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43base-pinned.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43base-pinned.json
new file mode 100644
index 0000000000..41388acf85
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43base-pinned.json
@@ -0,0 +1,43 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "w0.json.gz",
+  "content_sha256": "0c3f353c53a8572d0a1a85bbe87e114475ff5ec6c4aeced09025de97b70d6611",
+  "compressed_sha256": "11ac3f8074bbd565c0e48f05799d84881e41412c020d5b3388574ade9bb1c403",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 42,
+  "independent_inputs": 662,
+  "warps": 42,
+  "corrections": 0,
+  "restored_cold": 78,
+  "zero_buffers": 78,
+  "entering": 150,
+  "local_profile": {
+    "1": 2353,
+    "2": 500,
+    "3": 416,
+    "4": 128,
+    "5": 42,
+    "8": 8
+  },
+  "local_mass": 5387,
+  "width_inventory": {
+    "4": 37,
+    "5": 9,
+    "7": 38,
+    "8": 114,
+    "9": 240
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": {
+    "base_sha256": "65c6d17ffee2eacf27bff438f37fc549c9ed0c909cbc7a52976cc75cf2d15b91",
+    "sections_match_minus_removed": true
+  },
+  "checked_columns": 662,
+  "elapsed_seconds": 0.6641346060005162,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43base-prekernel.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43base-prekernel.json
new file mode 100644
index 0000000000..99f172240e
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43base-prekernel.json
@@ -0,0 +1,40 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "w12.json.gz",
+  "content_sha256": "f1e88aaee178d0d4b124917b4025d29db28787d7ee7758d6e4846abc4da55d86",
+  "compressed_sha256": "f1bf43d644c74e3b1e7f6f4fd0a8cca19e440c0b0b5024bf26d4102595d4fa6e",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 72,
+  "independent_inputs": 632,
+  "warps": 72,
+  "corrections": 36,
+  "restored_cold": 72,
+  "zero_buffers": 72,
+  "entering": 128,
+  "local_profile": {
+    "1": 2382,
+    "2": 650,
+    "3": 266,
+    "4": 128,
+    "5": 26,
+    "8": 8
+  },
+  "local_mass": 5186,
+  "width_inventory": {
+    "4": 26,
+    "5": 2,
+    "7": 62,
+    "8": 80,
+    "9": 238
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": null,
+  "checked_columns": 632,
+  "elapsed_seconds": 0.6824937549999959,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43base.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43base.json
new file mode 100644
index 0000000000..e537e1bce8
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43base.json
@@ -0,0 +1,40 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "BORROW-WORD-43base.json.gz",
+  "content_sha256": "fd073806137fdd0b2e74f7075c7079304797227011c30147341328b928a8840c",
+  "compressed_sha256": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 72,
+  "independent_inputs": 632,
+  "warps": 72,
+  "corrections": 36,
+  "restored_cold": 72,
+  "zero_buffers": 72,
+  "entering": 132,
+  "local_profile": {
+    "1": 2394,
+    "2": 642,
+    "3": 266,
+    "4": 128,
+    "5": 26,
+    "8": 8
+  },
+  "local_mass": 5182,
+  "width_inventory": {
+    "4": 26,
+    "5": 2,
+    "7": 62,
+    "8": 84,
+    "9": 234
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": null,
+  "checked_columns": 632,
+  "elapsed_seconds": 0.8435201700003745,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43extra-pinned.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43extra-pinned.json
new file mode 100644
index 0000000000..b721a4c009
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43extra-pinned.json
@@ -0,0 +1,43 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "w0.json.gz",
+  "content_sha256": "94ffb6abe121b37a1c58eae7a7527b90ad5b56e227ef277f819f1f710605d9cb",
+  "compressed_sha256": "ed6acbfe94d71a7b04b3ac8fdc765997daba1acc41a89ca0c32ea99377b6b07b",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 42,
+  "independent_inputs": 662,
+  "warps": 42,
+  "corrections": 0,
+  "restored_cold": 78,
+  "zero_buffers": 78,
+  "entering": 150,
+  "local_profile": {
+    "1": 2341,
+    "2": 508,
+    "3": 420,
+    "4": 124,
+    "5": 42,
+    "8": 8
+  },
+  "local_mass": 5387,
+  "width_inventory": {
+    "4": 37,
+    "5": 9,
+    "7": 38,
+    "8": 114,
+    "9": 240
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": {
+    "base_sha256": "d7e48dcbafa236a2e1e41f7958244211506f7c7630fe6a2d43d2bdf17b7ae015",
+    "sections_match_minus_removed": true
+  },
+  "checked_columns": 662,
+  "elapsed_seconds": 0.6591344339994976,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43extra-prekernel.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43extra-prekernel.json
new file mode 100644
index 0000000000..da5fe1b10e
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43extra-prekernel.json
@@ -0,0 +1,40 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "w12.json.gz",
+  "content_sha256": "0abed7f7cd4cc5d6bf186fdcb64be87a6011e3da7c8dad2fc37cb80eb45b326f",
+  "compressed_sha256": "6ffaf48517f18d06f98c9c928d81c60db9a37e9e9333e7bce48a4fc6c50fdf42",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 72,
+  "independent_inputs": 632,
+  "warps": 72,
+  "corrections": 36,
+  "restored_cold": 72,
+  "zero_buffers": 72,
+  "entering": 128,
+  "local_profile": {
+    "1": 2382,
+    "2": 650,
+    "3": 266,
+    "4": 128,
+    "5": 26,
+    "8": 8
+  },
+  "local_mass": 5186,
+  "width_inventory": {
+    "4": 26,
+    "5": 2,
+    "7": 62,
+    "8": 80,
+    "9": 238
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": null,
+  "checked_columns": 632,
+  "elapsed_seconds": 0.661247182999432,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43extra.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43extra.json
new file mode 100644
index 0000000000..2eed788ead
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/AUDIT-43extra.json
@@ -0,0 +1,40 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "BORROW-WORD-43extra.json.gz",
+  "content_sha256": "d61a8077a8bb60b5e36b742fca6c04df21a701b09ef432600ec62462caaa8f6d",
+  "compressed_sha256": "bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 72,
+  "independent_inputs": 632,
+  "warps": 72,
+  "corrections": 36,
+  "restored_cold": 72,
+  "zero_buffers": 72,
+  "entering": 132,
+  "local_profile": {
+    "1": 2394,
+    "2": 642,
+    "3": 266,
+    "4": 128,
+    "5": 26,
+    "8": 8
+  },
+  "local_mass": 5182,
+  "width_inventory": {
+    "4": 26,
+    "5": 2,
+    "7": 62,
+    "8": 84,
+    "9": 234
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": null,
+  "checked_columns": 632,
+  "elapsed_seconds": 0.6927579249995688,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-43base.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-43base.json
new file mode 100644
index 0000000000..fb3b05a06f
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-43base.json
@@ -0,0 +1,124 @@
+{
+ "all_controls_rejected_for_expected_reason": true,
+ "controls": [
+  {
+   "control": "unmutated",
+   "rejected": false,
+   "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD"
+  },
+  {
+   "control": "wrong G (invertible, G(from)!=to)",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "non-invertible G",
+   "rejected": true,
+   "reason": "G not invertible",
+   "expected_reason_match": true
+  },
+  {
+   "control": "non-invertible G (zero column)",
+   "rejected": true,
+   "reason": "G not invertible",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame mismatch (from frame differs from current)",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame mismatch (consistent G, from frame differs from lender current frame)",
+   "rejected": true,
+   "reason": "warp frame mismatch (1, 243, (261, 133, 85, 45), (260, 133, 85, 45))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame mismatch (warp moved to a position where the lender frame differs)",
+   "rejected": true,
+   "reason": "frame not monotone (243, (261, 133, 85, 45), (320, 192, 45, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "missing inverse warp in cleanup",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "all inverse warps missing",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "algebra without inverse warps does not restore inputs",
+   "failed_inputs": 140,
+   "rejected": true
+  },
+  {
+   "control": "dim(from)!=dim(to)",
+   "rejected": true,
+   "reason": "dim(from)!=dim(to)",
+   "expected_reason_match": true
+  },
+  {
+   "control": "inverse warp not at FULL",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "cleanup uses real restored input instead of private buffer",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "restoration gate dropped (derived cleanup)",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2353, 2: 498, 3: 416, 4: 129, 5: 42, 8: 8}",
+   "expected_reason_match": true
+  },
+  {
+   "control": "false cold-restoration claim (register not restored)",
+   "rejected": true,
+   "reason": "frame not monotone (472, (256, 131, 64, 34, 17, 8, 4), (1,))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "restoration gate dropped",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "gate on removed helper",
+   "rejected": true,
+   "reason": "register out of range or removed helper referenced",
+   "expected_reason_match": true
+  },
+  {
+   "control": "wrong claimed profile",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2353, 2: 500, 3: 416, 4: 128, 5: 42, 8: 8}",
+   "expected_reason_match": true
+  },
+  {
+   "control": "wrong claimed width inventory",
+   "rejected": true,
+   "reason": "width inventory mismatch {4: 37, 5: 9, 7: 38, 8: 114, 9: 240}",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame chain not monotone",
+   "rejected": true,
+   "reason": "frame not monotone (114, (45,), ())",
+   "expected_reason_match": true
+  }
+ ],
+ "seconds": 4401.133973919
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-43extra.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-43extra.json
new file mode 100644
index 0000000000..846f87c877
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-43extra.json
@@ -0,0 +1,124 @@
+{
+ "all_controls_rejected_for_expected_reason": true,
+ "controls": [
+  {
+   "control": "unmutated",
+   "rejected": false,
+   "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD"
+  },
+  {
+   "control": "wrong G (invertible, G(from)!=to)",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "non-invertible G",
+   "rejected": true,
+   "reason": "G not invertible",
+   "expected_reason_match": true
+  },
+  {
+   "control": "non-invertible G (zero column)",
+   "rejected": true,
+   "reason": "G not invertible",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame mismatch (from frame differs from current)",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame mismatch (consistent G, from frame differs from lender current frame)",
+   "rejected": true,
+   "reason": "warp frame mismatch (1, 243, (261, 133, 85, 45), (260, 133, 85, 45))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame mismatch (warp moved to a position where the lender frame differs)",
+   "rejected": true,
+   "reason": "frame not monotone (243, (261, 133, 85, 45), (320, 192, 45, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "missing inverse warp in cleanup",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "all inverse warps missing",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "algebra without inverse warps does not restore inputs",
+   "failed_inputs": 140,
+   "rejected": true
+  },
+  {
+   "control": "dim(from)!=dim(to)",
+   "rejected": true,
+   "reason": "dim(from)!=dim(to)",
+   "expected_reason_match": true
+  },
+  {
+   "control": "inverse warp not at FULL",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "cleanup uses real restored input instead of private buffer",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "restoration gate dropped (derived cleanup)",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2341, 2: 506, 3: 420, 4: 125, 5: 42, 8: 8}",
+   "expected_reason_match": true
+  },
+  {
+   "control": "false cold-restoration claim (register not restored)",
+   "rejected": true,
+   "reason": "frame not monotone (472, (256, 131, 64, 34, 17, 8, 4), (1,))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "restoration gate dropped",
+   "rejected": true,
+   "reason": "explicit cleanup differs from derived inverse-reverse at FULL",
+   "expected_reason_match": true
+  },
+  {
+   "control": "gate on removed helper",
+   "rejected": true,
+   "reason": "register out of range or removed helper referenced",
+   "expected_reason_match": true
+  },
+  {
+   "control": "wrong claimed profile",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2341, 2: 508, 3: 420, 4: 124, 5: 42, 8: 8}",
+   "expected_reason_match": true
+  },
+  {
+   "control": "wrong claimed width inventory",
+   "rejected": true,
+   "reason": "width inventory mismatch {4: 37, 5: 9, 7: 38, 8: 114, 9: 240}",
+   "expected_reason_match": true
+  },
+  {
+   "control": "frame chain not monotone",
+   "rejected": true,
+   "reason": "frame not monotone (114, (45,), ())",
+   "expected_reason_match": true
+  }
+ ],
+ "seconds": 4499.690593268
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-ALIAS1-43base.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-ALIAS1-43base.json
new file mode 100644
index 0000000000..0ee12770ae
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-ALIAS1-43base.json
@@ -0,0 +1,40 @@
+{
+ "all_rejected": true,
+ "controls": {
+  "653<-563 borrowed read sign flipped": {
+   "rejected": true,
+   "reason": "target map failed 75",
+   "real_reason": true
+  },
+  "653<-563 borrowed read doubled": {
+   "rejected": true,
+   "reason": "target map failed 75",
+   "real_reason": true
+  },
+  "653<-563 borrowed write sign flipped": {
+   "rejected": true,
+   "reason": "target map failed 82",
+   "real_reason": true
+  },
+  "653<-563 warp dropped": {
+   "rejected": true,
+   "reason": "frame not monotone (563, (259, 148, 66, 36, 9), (288, 160, 75, 25, 7))",
+   "real_reason": true
+  },
+  "653<-563 G wrong": {
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "real_reason": true
+  },
+  "653<-563 warp before lender retirement": {
+   "rejected": true,
+   "reason": "warp frame mismatch (65, 563, (75,), (259, 148, 66, 36, 9))",
+   "real_reason": true
+  },
+  "653 kept with an entrance frame": {
+   "rejected": true,
+   "reason": "start_extra/helper_final must name remaining helpers",
+   "real_reason": true
+  }
+ }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-ALIAS1-43extra.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-ALIAS1-43extra.json
new file mode 100644
index 0000000000..0ee12770ae
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-ALIAS1-43extra.json
@@ -0,0 +1,40 @@
+{
+ "all_rejected": true,
+ "controls": {
+  "653<-563 borrowed read sign flipped": {
+   "rejected": true,
+   "reason": "target map failed 75",
+   "real_reason": true
+  },
+  "653<-563 borrowed read doubled": {
+   "rejected": true,
+   "reason": "target map failed 75",
+   "real_reason": true
+  },
+  "653<-563 borrowed write sign flipped": {
+   "rejected": true,
+   "reason": "target map failed 82",
+   "real_reason": true
+  },
+  "653<-563 warp dropped": {
+   "rejected": true,
+   "reason": "frame not monotone (563, (259, 148, 66, 36, 9), (288, 160, 75, 25, 7))",
+   "real_reason": true
+  },
+  "653<-563 G wrong": {
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "real_reason": true
+  },
+  "653<-563 warp before lender retirement": {
+   "rejected": true,
+   "reason": "warp frame mismatch (65, 563, (75,), (259, 148, 66, 36, 9))",
+   "real_reason": true
+  },
+  "653 kept with an entrance frame": {
+   "rejected": true,
+   "reason": "start_extra/helper_final must name remaining helpers",
+   "real_reason": true
+  }
+ }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-KERNEL-43base.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-KERNEL-43base.json
new file mode 100644
index 0000000000..578da2dedb
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-KERNEL-43base.json
@@ -0,0 +1,13 @@
+{
+  "kernel_sign_flipped": true,
+  "kernel_read_dropped": true,
+  "kernel_coefficient_doubled": true,
+  "kernel_read_moved_to_neighbour_register": true,
+  "alias8_sign_flipped": true,
+  "alias8_coefficient_doubled": true,
+  "alias8_warp_dropped": true,
+  "entrance_start_frame_dropped": true,
+  "entrance_start_frame_widened": true,
+  "handoff_sign_flipped": true,
+  "handoff_coefficient_doubled": true
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-KERNEL-43extra.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-KERNEL-43extra.json
new file mode 100644
index 0000000000..578da2dedb
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-KERNEL-43extra.json
@@ -0,0 +1,13 @@
+{
+  "kernel_sign_flipped": true,
+  "kernel_read_dropped": true,
+  "kernel_coefficient_doubled": true,
+  "kernel_read_moved_to_neighbour_register": true,
+  "alias8_sign_flipped": true,
+  "alias8_coefficient_doubled": true,
+  "alias8_warp_dropped": true,
+  "entrance_start_frame_dropped": true,
+  "entrance_start_frame_widened": true,
+  "handoff_sign_flipped": true,
+  "handoff_coefficient_doubled": true
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43base.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43base.json
new file mode 100644
index 0000000000..2dc770e490
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43base.json
@@ -0,0 +1,129 @@
+{
+ "all_rejected": true,
+ "controls": [
+  {
+   "control": "unmutated",
+   "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD"
+  },
+  {
+   "control": "prelude correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "prelude correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "prelude correction targets swapped",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "prelude return warp dropped",
+   "rejected": true,
+   "reason": "frame not monotone (83, (45,), (382,))"
+  },
+  {
+   "control": "prelude forward warp dropped",
+   "rejected": true,
+   "reason": "frame not monotone (83, (382,), (45,))"
+  },
+  {
+   "control": "all prelude corrections of target 135 dropped",
+   "rejected": true,
+   "reason": "target map failed 23"
+  },
+  {
+   "control": "prelude target scale at a different line",
+   "rejected": true,
+   "reason": "frame not monotone (126, (31,), (45,))"
+  },
+  {
+   "control": "prelude warp uses another operator id",
+   "rejected": true,
+   "reason": "prelude warp operator/lender"
+  },
+  {
+   "control": "prelude warp lands on a different line",
+   "rejected": true,
+   "reason": "G(from)!=to"
+  },
+  {
+   "control": "prelude unmarked",
+   "rejected": true,
+   "reason": "warp item after the prelude"
+  },
+  {
+   "control": "lifted target level missing",
+   "rejected": true,
+   "reason": "target centre levels"
+  },
+  {
+   "control": "new warp from-frame wrong",
+   "rejected": true,
+   "reason": "G(from)!=to"
+  },
+  {
+   "control": "new warp G wrong",
+   "rejected": true,
+   "reason": "G(from)!=to"
+  },
+  {
+   "control": "source restoration gate dropped (cleanup re-derived)",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "rewritten source gate dropped (cleanup re-derived)",
+   "rejected": true,
+   "reason": "target map failed 23"
+  },
+  {
+   "control": "rewritten source gate sign flipped (cleanup re-derived)",
+   "rejected": true,
+   "reason": "target map failed 23"
+  },
+  {
+   "control": "raised buffer entrance dropped 474",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 647, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "raised buffer entrance widened 474",
+   "rejected": true,
+   "reason": "frame not monotone (474, (256, 128, 64, 32, 16, 8, 4, 2, 1), (82, 42))"
+  },
+  {
+   "control": "raised buffer entrance dropped 522",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 647, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "raised buffer entrance widened 522",
+   "rejected": true,
+   "reason": "frame not monotone (522, (256, 128, 64, 32, 16, 8, 4, 2, 1), (82, 7))"
+  },
+  {
+   "control": "raised buffer entrance dropped 534",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 647, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "raised buffer entrance widened 534",
+   "rejected": true,
+   "reason": "frame not monotone (534, (256, 128, 64, 32, 16, 8, 4, 2, 1), (120, 7))"
+  },
+  {
+   "control": "wrong claimed profile",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 646, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "wrong claimed width inventory",
+   "rejected": true,
+   "reason": "width inventory mismatch {4: 26, 5: 9, 7: 62, 8: 78, 9: 240}"
+  }
+ ]
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43extra.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43extra.json
new file mode 100644
index 0000000000..2dc770e490
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-LOWFOUR-43extra.json
@@ -0,0 +1,129 @@
+{
+ "all_rejected": true,
+ "controls": [
+  {
+   "control": "unmutated",
+   "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD"
+  },
+  {
+   "control": "prelude correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "prelude correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "prelude correction targets swapped",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "prelude return warp dropped",
+   "rejected": true,
+   "reason": "frame not monotone (83, (45,), (382,))"
+  },
+  {
+   "control": "prelude forward warp dropped",
+   "rejected": true,
+   "reason": "frame not monotone (83, (382,), (45,))"
+  },
+  {
+   "control": "all prelude corrections of target 135 dropped",
+   "rejected": true,
+   "reason": "target map failed 23"
+  },
+  {
+   "control": "prelude target scale at a different line",
+   "rejected": true,
+   "reason": "frame not monotone (126, (31,), (45,))"
+  },
+  {
+   "control": "prelude warp uses another operator id",
+   "rejected": true,
+   "reason": "prelude warp operator/lender"
+  },
+  {
+   "control": "prelude warp lands on a different line",
+   "rejected": true,
+   "reason": "G(from)!=to"
+  },
+  {
+   "control": "prelude unmarked",
+   "rejected": true,
+   "reason": "warp item after the prelude"
+  },
+  {
+   "control": "lifted target level missing",
+   "rejected": true,
+   "reason": "target centre levels"
+  },
+  {
+   "control": "new warp from-frame wrong",
+   "rejected": true,
+   "reason": "G(from)!=to"
+  },
+  {
+   "control": "new warp G wrong",
+   "rejected": true,
+   "reason": "G(from)!=to"
+  },
+  {
+   "control": "source restoration gate dropped (cleanup re-derived)",
+   "rejected": true,
+   "reason": "target map failed 14"
+  },
+  {
+   "control": "rewritten source gate dropped (cleanup re-derived)",
+   "rejected": true,
+   "reason": "target map failed 23"
+  },
+  {
+   "control": "rewritten source gate sign flipped (cleanup re-derived)",
+   "rejected": true,
+   "reason": "target map failed 23"
+  },
+  {
+   "control": "raised buffer entrance dropped 474",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 647, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "raised buffer entrance widened 474",
+   "rejected": true,
+   "reason": "frame not monotone (474, (256, 128, 64, 32, 16, 8, 4, 2, 1), (82, 42))"
+  },
+  {
+   "control": "raised buffer entrance dropped 522",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 647, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "raised buffer entrance widened 522",
+   "rejected": true,
+   "reason": "frame not monotone (522, (256, 128, 64, 32, 16, 8, 4, 2, 1), (82, 7))"
+  },
+  {
+   "control": "raised buffer entrance dropped 534",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 647, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "raised buffer entrance widened 534",
+   "rejected": true,
+   "reason": "frame not monotone (534, (256, 128, 64, 32, 16, 8, 4, 2, 1), (120, 7))"
+  },
+  {
+   "control": "wrong claimed profile",
+   "rejected": true,
+   "reason": "paid profile mismatch {1: 2370, 2: 646, 3: 297, 4: 120, 5: 26, 7: 4, 8: 4}"
+  },
+  {
+   "control": "wrong claimed width inventory",
+   "rejected": true,
+   "reason": "width inventory mismatch {4: 26, 5: 9, 7: 62, 8: 78, 9: 240}"
+  }
+ ]
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-PRELIFE-43base.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-PRELIFE-43base.json
new file mode 100644
index 0000000000..eda31239d1
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-PRELIFE-43base.json
@@ -0,0 +1,477 @@
+{
+ "all_rejected_for_expected_reason": true,
+ "controls": [
+  {
+   "control": "unmutated",
+   "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD"
+  },
+  {
+   "control": "482<-273: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction read through neighbouring host 275 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (273, (80, 48, 2, 1), (388, 81, 48, 3))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (273, (388, 75, 41, 26), (388, 81, 48, 3))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (273, (388, 75, 41, 26), (388, 81, 48, 3))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (273, (256, 129, 64, 33, 17, 9, 5, 3), (388, 75, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction read through neighbouring host 289 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 9",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (275, (72, 40, 26, 1), (391, 72, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (275, (388, 75, 41, 26), (391, 72, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (275, (388, 75, 41, 26), (391, 72, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (275, (256, 130, 64, 32, 18, 8, 4, 1), (388, 75, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction read through neighbouring host 291 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (289, (136, 76, 50, 1), (273, 136, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (289, (273, 145, 85, 51), (273, 136, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (289, (273, 145, 85, 51), (273, 136, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (289, (256, 132, 64, 32, 16, 12, 2, 1), (273, 145, 85, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction read through neighbouring host 305 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (291, (144, 76, 50, 1), (264, 145, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (291, (273, 145, 85, 51), (264, 145, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (291, (273, 145, 85, 51), (264, 145, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (291, (256, 129, 64, 33, 16, 8, 4, 2), (273, 145, 85, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction read through neighbouring host 321 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (305, (76, 44, 30, 1), (391, 76, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (305, (385, 74, 44, 30), (391, 76, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (305, (385, 74, 44, 30), (391, 76, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (305, (256, 130, 64, 32, 18, 8, 4, 1), (385, 74, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction read through neighbouring host 273 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 9",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (321, (138, 96, 30, 1), (288, 138, 97, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (321, (266, 138, 75, 30), (288, 138, 97, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (321, (266, 138, 75, 30), (288, 138, 97, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (321, (256, 132, 64, 32, 16, 12, 2, 1), (266, 138, 75, 30))",
+   "expected_reason_match": true
+  }
+ ]
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-PRELIFE-43extra.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-PRELIFE-43extra.json
new file mode 100644
index 0000000000..eda31239d1
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/borrow-receipts/CONTROLS-PRELIFE-43extra.json
@@ -0,0 +1,477 @@
+{
+ "all_rejected_for_expected_reason": true,
+ "controls": [
+  {
+   "control": "unmutated",
+   "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD"
+  },
+  {
+   "control": "482<-273: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction read through neighbouring host 275 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 3",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (273, (80, 48, 2, 1), (388, 81, 48, 3))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (273, (388, 75, 41, 26), (388, 81, 48, 3))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (273, (388, 75, 41, 26), (388, 81, 48, 3))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "482<-273: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (273, (256, 129, 64, 33, 17, 9, 5, 3), (388, 75, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction read through neighbouring host 289 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 20",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 9",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (275, (72, 40, 26, 1), (391, 72, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (275, (388, 75, 41, 26), (391, 72, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (275, (388, 75, 41, 26), (391, 72, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "483<-275: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (275, (256, 130, 64, 32, 18, 8, 4, 1), (388, 75, 41, 26))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction read through neighbouring host 291 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 5",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (289, (136, 76, 50, 1), (273, 136, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (289, (273, 145, 85, 51), (273, 136, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (289, (273, 145, 85, 51), (273, 136, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "494<-289: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (289, (256, 132, 64, 32, 16, 12, 2, 1), (273, 145, 85, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction read through neighbouring host 305 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 4",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (291, (144, 76, 50, 1), (264, 145, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (291, (273, 145, 85, 51), (264, 145, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (291, (273, 145, 85, 51), (264, 145, 76, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "495<-291: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (291, (256, 129, 64, 33, 16, 8, 4, 2), (273, 145, 85, 51))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction read through neighbouring host 321 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 1",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (305, (76, 44, 30, 1), (391, 76, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (305, (385, 74, 44, 30), (391, 76, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (305, (385, 74, 44, 30), (391, 76, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "507<-305: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (305, (256, 130, 64, 32, 18, 8, 4, 1), (385, 74, 44, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction sign flipped",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction coefficient doubled",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: one correction dropped",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: all 6 corrections dropped",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction read through neighbouring host 273 (consistent lender/op)",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction operator word doubled [op,op]",
+   "rejected": true,
+   "reason": "target map failed 21",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: correction moved to another target port",
+   "rejected": true,
+   "reason": "target map failed 0",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: raw compensation (not pulled back through precondition)",
+   "rejected": true,
+   "reason": "target map failed 9",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: warp G replaced by invertible G' with G'(U)!=E",
+   "rejected": true,
+   "reason": "G(from)!=to",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: warp image E replaced by another dim-4 frame",
+   "rejected": true,
+   "reason": "frame not monotone (321, (138, 96, 30, 1), (288, 138, 97, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: pre-life warp and its corrections dropped",
+   "rejected": true,
+   "reason": "frame not monotone (321, (266, 138, 75, 30), (288, 138, 97, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: warp moved after host first gate",
+   "rejected": true,
+   "reason": "frame not monotone (321, (266, 138, 75, 30), (288, 138, 97, 30))",
+   "expected_reason_match": true
+  },
+  {
+   "control": "519<-321: host re-declared cold (helper_final restored)",
+   "rejected": true,
+   "reason": "frame not monotone (321, (256, 132, 64, 32, 16, 12, 2, 1), (266, 138, 75, 30))",
+   "expected_reason_match": true
+  }
+ ]
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/shared-kernel-independent-review/FOUR-GROUP-INDEPENDENT-REVIEW.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/shared-kernel-independent-review/FOUR-GROUP-INDEPENDENT-REVIEW.json
new file mode 100644
index 0000000000..0065170cee
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/shared-kernel-independent-review/FOUR-GROUP-INDEPENDENT-REVIEW.json
@@ -0,0 +1,543 @@
+{
+  "status": "PASS_INDEPENDENT_FOUR_GROUP_REVIEW",
+  "variants": {
+    "base": {
+      "source_sha256": "dda9878455b3a3bec64ca16b1ac7789bbf5ffb603d5713b8df8644485e85b1b7",
+      "candidate_sha256": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458",
+      "positive_audit": {
+        "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+        "checked_columns": 632,
+        "orientations": {
+          "forward": "PASS",
+          "dual": "PASS"
+        },
+        "receipt_sha256": "c43fa05069b12a7b6c06da769f878f529c8c66bd20c205096ad1515c618a83a9"
+      },
+      "inserted_A_gates": 20,
+      "compensation_removed": 28,
+      "compensation_added": 28,
+      "groups": [
+        {
+          "helpers": [
+            478,
+            479,
+            490,
+            491
+          ],
+          "source_A_positions": {
+            "478": 1303,
+            "479": 1304,
+            "490": 1315,
+            "491": 1316
+          },
+          "partners": {
+            "478": 526,
+            "479": 527,
+            "490": 538,
+            "491": 539
+          },
+          "raw_dirt_map": {
+            "479": "d479+d478",
+            "490": "d490-d478",
+            "491": "d491+d490-d478"
+          },
+          "target_support": [
+            127,
+            154,
+            165,
+            217
+          ],
+          "operand_support": [
+            478,
+            479,
+            490,
+            491,
+            526,
+            527,
+            538,
+            539
+          ]
+        },
+        {
+          "helpers": [
+            460,
+            461,
+            468,
+            469
+          ],
+          "source_A_positions": {
+            "460": 1327,
+            "461": 1328,
+            "468": 1307,
+            "469": 1308
+          },
+          "partners": {
+            "460": 522,
+            "461": 523,
+            "468": 536,
+            "469": 537
+          },
+          "raw_dirt_map": {
+            "461": "d461+d460",
+            "468": "d468-d460",
+            "469": "d469+d468-d460"
+          },
+          "target_support": [
+            115,
+            120,
+            138,
+            178,
+            179,
+            192,
+            200,
+            207
+          ],
+          "operand_support": [
+            460,
+            461,
+            468,
+            469,
+            522,
+            523,
+            536,
+            537
+          ]
+        },
+        {
+          "helpers": [
+            462,
+            463,
+            470,
+            471
+          ],
+          "source_A_positions": {
+            "462": 1325,
+            "463": 1326,
+            "470": 1301,
+            "471": 1302
+          },
+          "partners": {
+            "462": 534,
+            "463": 535,
+            "470": 524,
+            "471": 525
+          },
+          "raw_dirt_map": {
+            "463": "d463+d462",
+            "470": "d470-d462",
+            "471": "d471+d470-d462"
+          },
+          "target_support": [
+            116,
+            117,
+            176,
+            177,
+            180,
+            181,
+            208,
+            209
+          ],
+          "operand_support": [
+            462,
+            463,
+            470,
+            471,
+            524,
+            525,
+            534,
+            535
+          ]
+        },
+        {
+          "helpers": [
+            480,
+            481,
+            492,
+            493
+          ],
+          "source_A_positions": {
+            "480": 1309,
+            "481": 1310,
+            "492": 1319,
+            "493": 1320
+          },
+          "partners": {
+            "480": 540,
+            "481": 541,
+            "492": 528,
+            "493": 529
+          },
+          "raw_dirt_map": {
+            "481": "d481+d480",
+            "492": "d492-d480",
+            "493": "d493+d492-d480"
+          },
+          "target_support": [
+            125,
+            128,
+            155,
+            156,
+            163,
+            190,
+            193,
+            199
+          ],
+          "operand_support": [
+            480,
+            481,
+            492,
+            493,
+            528,
+            529,
+            540,
+            541
+          ]
+        }
+      ],
+      "all_four_operand_and_target_supports_disjoint": true,
+      "all_other_sections_unchanged": true,
+      "controls": [
+        {
+          "name": "wrong_kernel_sign",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 3"
+        },
+        {
+          "name": "drop_primary_A_injection",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 14"
+        },
+        {
+          "name": "missing_raw_dirt_reconstruction",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 14"
+        },
+        {
+          "name": "missing_compensation_regeneration",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 3"
+        },
+        {
+          "name": "wrong_compensation_sign",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 14"
+        },
+        {
+          "name": "wrong_start_extra",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "frame",
+          "frames_profile_pass": false,
+          "rejected_for": "RuntimeError: frame not monotone (478, (75,), (25,))"
+        },
+        {
+          "name": "suppressed_compensation_without_transport",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 3"
+        },
+        {
+          "name": "stale_cleanup",
+          "cleanup_rederived": false,
+          "expected_failure_kind": "cleanup",
+          "frames_profile_pass": false,
+          "rejected_for": "RuntimeError: explicit cleanup differs from derived inverse-reverse at FULL"
+        }
+      ]
+    },
+    "extra": {
+      "source_sha256": "bbe6bcba59e45e827a8e932ee4b23650d56ed4a0b8e0875c14f23c36b9e47eac",
+      "candidate_sha256": "bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546",
+      "positive_audit": {
+        "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+        "checked_columns": 632,
+        "orientations": {
+          "forward": "PASS",
+          "dual": "PASS"
+        },
+        "receipt_sha256": "5047b707993d3009b89e54c88193058d28b8ed4d8f8e8a554f34a01ed4e2ee4e"
+      },
+      "inserted_A_gates": 20,
+      "compensation_removed": 28,
+      "compensation_added": 28,
+      "groups": [
+        {
+          "helpers": [
+            478,
+            479,
+            490,
+            491
+          ],
+          "source_A_positions": {
+            "478": 1303,
+            "479": 1304,
+            "490": 1315,
+            "491": 1316
+          },
+          "partners": {
+            "478": 526,
+            "479": 527,
+            "490": 538,
+            "491": 539
+          },
+          "raw_dirt_map": {
+            "479": "d479+d478",
+            "490": "d490-d478",
+            "491": "d491+d490-d478"
+          },
+          "target_support": [
+            127,
+            154,
+            165,
+            217
+          ],
+          "operand_support": [
+            478,
+            479,
+            490,
+            491,
+            526,
+            527,
+            538,
+            539
+          ]
+        },
+        {
+          "helpers": [
+            460,
+            461,
+            468,
+            469
+          ],
+          "source_A_positions": {
+            "460": 1327,
+            "461": 1328,
+            "468": 1307,
+            "469": 1308
+          },
+          "partners": {
+            "460": 522,
+            "461": 523,
+            "468": 536,
+            "469": 537
+          },
+          "raw_dirt_map": {
+            "461": "d461+d460",
+            "468": "d468-d460",
+            "469": "d469+d468-d460"
+          },
+          "target_support": [
+            115,
+            120,
+            138,
+            178,
+            179,
+            192,
+            200,
+            207
+          ],
+          "operand_support": [
+            460,
+            461,
+            468,
+            469,
+            522,
+            523,
+            536,
+            537
+          ]
+        },
+        {
+          "helpers": [
+            462,
+            463,
+            470,
+            471
+          ],
+          "source_A_positions": {
+            "462": 1325,
+            "463": 1326,
+            "470": 1301,
+            "471": 1302
+          },
+          "partners": {
+            "462": 534,
+            "463": 535,
+            "470": 524,
+            "471": 525
+          },
+          "raw_dirt_map": {
+            "463": "d463+d462",
+            "470": "d470-d462",
+            "471": "d471+d470-d462"
+          },
+          "target_support": [
+            116,
+            117,
+            176,
+            177,
+            180,
+            181,
+            208,
+            209
+          ],
+          "operand_support": [
+            462,
+            463,
+            470,
+            471,
+            524,
+            525,
+            534,
+            535
+          ]
+        },
+        {
+          "helpers": [
+            480,
+            481,
+            492,
+            493
+          ],
+          "source_A_positions": {
+            "480": 1309,
+            "481": 1310,
+            "492": 1319,
+            "493": 1320
+          },
+          "partners": {
+            "480": 540,
+            "481": 541,
+            "492": 528,
+            "493": 529
+          },
+          "raw_dirt_map": {
+            "481": "d481+d480",
+            "492": "d492-d480",
+            "493": "d493+d492-d480"
+          },
+          "target_support": [
+            125,
+            128,
+            155,
+            156,
+            163,
+            190,
+            193,
+            199
+          ],
+          "operand_support": [
+            480,
+            481,
+            492,
+            493,
+            528,
+            529,
+            540,
+            541
+          ]
+        }
+      ],
+      "all_four_operand_and_target_supports_disjoint": true,
+      "all_other_sections_unchanged": true,
+      "controls": [
+        {
+          "name": "wrong_kernel_sign",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 3"
+        },
+        {
+          "name": "drop_primary_A_injection",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 14"
+        },
+        {
+          "name": "missing_raw_dirt_reconstruction",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 14"
+        },
+        {
+          "name": "missing_compensation_regeneration",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 3"
+        },
+        {
+          "name": "wrong_compensation_sign",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 14"
+        },
+        {
+          "name": "wrong_start_extra",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "frame",
+          "frames_profile_pass": false,
+          "rejected_for": "RuntimeError: frame not monotone (478, (75,), (25,))"
+        },
+        {
+          "name": "suppressed_compensation_without_transport",
+          "cleanup_rederived": true,
+          "expected_failure_kind": "endpoint",
+          "frames_profile_pass": true,
+          "rejected_for": "RuntimeError: target map failed 3"
+        },
+        {
+          "name": "stale_cleanup",
+          "cleanup_rederived": false,
+          "expected_failure_kind": "cleanup",
+          "frames_profile_pass": false,
+          "rejected_for": "RuntimeError: explicit cleanup differs from derived inverse-reverse at FULL"
+        }
+      ]
+    }
+  },
+  "source_authentication": {
+    "pins": {
+      "source_base": "dda9878455b3a3bec64ca16b1ac7789bbf5ffb603d5713b8df8644485e85b1b7",
+      "source_extra": "bbe6bcba59e45e827a8e932ee4b23650d56ed4a0b8e0875c14f23c36b9e47eac",
+      "word_patch": "9b3287f189c4f29c1a8bdb1ba01fdcfe14a57d87b50fa4f2f646fb2346ab01ce",
+      "audit_local": "a38940094f7d19cd6376aafdd4734fa68eabc9aff4c98c3c4a3e9540328b1c90"
+    },
+    "before": {
+      "source_base": "dda9878455b3a3bec64ca16b1ac7789bbf5ffb603d5713b8df8644485e85b1b7",
+      "source_extra": "bbe6bcba59e45e827a8e932ee4b23650d56ed4a0b8e0875c14f23c36b9e47eac",
+      "word_patch": "9b3287f189c4f29c1a8bdb1ba01fdcfe14a57d87b50fa4f2f646fb2346ab01ce",
+      "audit_local": "a38940094f7d19cd6376aafdd4734fa68eabc9aff4c98c3c4a3e9540328b1c90",
+      "candidate_base": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458",
+      "candidate_extra": "bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546"
+    },
+    "after": {
+      "source_base": "dda9878455b3a3bec64ca16b1ac7789bbf5ffb603d5713b8df8644485e85b1b7",
+      "source_extra": "bbe6bcba59e45e827a8e932ee4b23650d56ed4a0b8e0875c14f23c36b9e47eac",
+      "word_patch": "9b3287f189c4f29c1a8bdb1ba01fdcfe14a57d87b50fa4f2f646fb2346ab01ce",
+      "audit_local": "a38940094f7d19cd6376aafdd4734fa68eabc9aff4c98c3c4a3e9540328b1c90",
+      "candidate_base": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458",
+      "candidate_extra": "bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546"
+    },
+    "all_protected_files_unchanged": true,
+    "source_tree_before_sha256": "d4206d5b136526dbbedc1d3dabcae27e3c960fda8713491b3acdc7f89157adc6",
+    "source_tree_after_sha256": "d4206d5b136526dbbedc1d3dabcae27e3c960fda8713491b3acdc7f89157adc6",
+    "source_tree_files": 87,
+    "source_tree_unchanged": true,
+    "reviewer_sha256": "5b323e50fb5a10ac088472b3e085b54d7d2ae3a29f8552ff44b788a984eb97d1"
+  }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-base.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-base.json
new file mode 100644
index 0000000000..4677792bc5
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-base.json
@@ -0,0 +1,40 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "BORROW-WORD-43base.json.gz",
+  "content_sha256": "fd073806137fdd0b2e74f7075c7079304797227011c30147341328b928a8840c",
+  "compressed_sha256": "001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 72,
+  "independent_inputs": 632,
+  "warps": 72,
+  "corrections": 36,
+  "restored_cold": 72,
+  "zero_buffers": 72,
+  "entering": 132,
+  "local_profile": {
+    "1": 2394,
+    "2": 642,
+    "3": 266,
+    "4": 128,
+    "5": 26,
+    "8": 8
+  },
+  "local_mass": 5182,
+  "width_inventory": {
+    "4": 26,
+    "5": 2,
+    "7": 62,
+    "8": 84,
+    "9": 234
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": null,
+  "checked_columns": 632,
+  "elapsed_seconds": 0.6915428749998682,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-extra.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-extra.json
new file mode 100644
index 0000000000..e5620c44ac
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-extra.json
@@ -0,0 +1,40 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_BORROWING_WORD",
+  "input_file": "BORROW-WORD-43extra.json.gz",
+  "content_sha256": "d61a8077a8bb60b5e36b742fca6c04df21a701b09ef432600ec62462caaa8f6d",
+  "compressed_sha256": "bc5bfe51178f0c3312d28318412ec490463c896ceed0660b9c443fcb76496546",
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "removed_helpers": 72,
+  "independent_inputs": 632,
+  "warps": 72,
+  "corrections": 36,
+  "restored_cold": 72,
+  "zero_buffers": 72,
+  "entering": 132,
+  "local_profile": {
+    "1": 2394,
+    "2": 642,
+    "3": 266,
+    "4": 128,
+    "5": 26,
+    "8": 8
+  },
+  "local_mass": 5182,
+  "width_inventory": {
+    "4": 26,
+    "5": 2,
+    "7": 62,
+    "8": 84,
+    "9": 234
+  },
+  "orientations": {
+    "forward": "PASS",
+    "dual": "PASS"
+  },
+  "base": null,
+  "checked_columns": 632,
+  "elapsed_seconds": 0.6784301999996387,
+  "scope": "Exact free-operator-algebra replay (every remaining input is an independent column): K_G warps with G invertible, G(from)=to, symplectic form fixing L_0/L_FULL and sending L_from to L_to (rank 0), literal frame chain with warps, relaxed fixed initial compensation, derived inverse-reverse cleanup at FULL with inverse warps and private zero buffers. No Clifford phase/Gaussian product, no owner admission, no repricing."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/ADMISSION-CONTROLS.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/ADMISSION-CONTROLS.json
new file mode 100644
index 0000000000..450984eb70
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/ADMISSION-CONTROLS.json
@@ -0,0 +1,152 @@
+{
+  "status": "PASS_EXACT_MIXED_048_ALLCOLD_NATIVE_ASSEMBLY_ADMISSION_NEGATIVE_CONTROLS",
+  "valid_receipt_kappa": "858571873919839/500000000000000000",
+  "input_sha256": {
+    "owner_audit": "720df4c957feef0dc9a697b179885991207a77760a388bacb55eba511f735dce",
+    "fresh_invoice": "a847e6e9abda6ccb361d16f8593c22cdc8a222e117c13bff67131464de143793",
+    "package:inputs/PR589-EXPECTED.json": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4",
+    "engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482",
+    "engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098",
+    "engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c"
+  },
+  "assembler_sha256": "4e7b5ddd11b23c92ab26bc0c80884ed64a2d45e9247b5f52bc03f27fa83dbee0",
+  "rejected_controls": [
+    "empty_certification_maps",
+    "failed_invoice_status",
+    "nonboolean_precision_check",
+    "wrong_owner_role_count",
+    "understated_physical_stock",
+    "changed_profile_same_rank_mass",
+    "insufficient_finite_C0",
+    "missing_finite_check",
+    "wrong_reflected_orientation_selfconsistent_totals",
+    "missing_selected_call",
+    "wrong_selected_primitive_sum",
+    "wrong_selected_coefficient_work_sum",
+    "unpaid_wrapper_factors",
+    "wrong_global_compiler",
+    "wrong_global_adapter_maximum",
+    "understated_exact_prefix_and_global_sum",
+    "wrong_global_prefix_sum",
+    "missing_blocknorm",
+    "understated_active_depth",
+    "understated_full_stock_norm",
+    "missing_partial_cover_margin",
+    "forged_helper_response",
+    "wrong_row_prefix_reserve",
+    "wrong_parent_geometry_charge",
+    "wrong_rebased_geometry_charge",
+    "wrong_complete_pervertex_envelope",
+    "wrong_prior_added_complete_invoice",
+    "wrong_finite_router_bits",
+    "wrong_finite_literal_bits",
+    "wrong_finite_physical_stock_bits",
+    "wrong_finite_row_coefficient",
+    "reordered_complete_calls",
+    "understated_explicit_idle_remainders",
+    "understated_actual_chart_types",
+    "wrong_cross_replica_role_count",
+    "old_no_cold_wrapper_counts_selfconsistent",
+    "extra:missing_provider",
+    "extra:missing_backward_orientation",
+    "extra:unpaid_scalar_primitive",
+    "extra:wrong_local_artifact_binding",
+    "extra:false_dirty_restoration",
+    "extra:wrong_declared_provider_count",
+    "extra:wrong_local_compiler",
+    "extra:wrong_local_adapter_charge",
+    "extra:wrong_local_primitive_bound",
+    "extra:forged_provider_and_call_program_hash",
+    "extra:provider_at_wrong_call",
+    "extra:stale_partner_program_consistent_call_hashes",
+    "extra:stale_partner_profile_consistent_child_total",
+    "extra:relocated_against_partner_same_counts",
+    "extra:compensating_false_profiles_with_gauge44",
+    "extra:synchronized_forged_source_recipe_hash",
+    "extra:synchronized_forged_phase_review_semantics",
+    "extra:width_order_swap_4_5",
+    "extra:width_inventory_shift_4_5",
+    "extra:width_order_swap_4_7",
+    "extra:width_inventory_shift_4_7",
+    "extra:width_order_swap_4_8",
+    "extra:width_inventory_shift_4_8",
+    "extra:width_order_swap_4_9",
+    "extra:width_inventory_shift_4_9",
+    "extra:width_order_swap_5_7",
+    "extra:width_inventory_shift_5_7",
+    "extra:width_order_swap_5_8",
+    "extra:width_inventory_shift_5_8",
+    "extra:width_order_swap_5_9",
+    "extra:width_inventory_shift_5_9",
+    "extra:width_order_swap_7_8",
+    "extra:width_inventory_shift_7_8",
+    "extra:width_order_swap_7_9",
+    "extra:width_inventory_shift_7_9",
+    "extra:width_order_swap_8_9",
+    "extra:width_inventory_shift_8_9",
+    "extra:cold_helper_width_swap_278",
+    "extra:cold_helper_width_swap_281",
+    "extra:cold_helper_width_swap_284",
+    "extra:cold_helper_width_swap_289",
+    "gauge44:missing_provider",
+    "gauge44:missing_backward_orientation",
+    "gauge44:unpaid_scalar_primitive",
+    "gauge44:wrong_local_artifact_binding",
+    "gauge44:false_dirty_restoration",
+    "gauge44:wrong_declared_provider_count",
+    "gauge44:wrong_local_compiler",
+    "gauge44:wrong_local_adapter_charge",
+    "gauge44:wrong_local_primitive_bound",
+    "gauge44:forged_provider_and_call_program_hash",
+    "gauge44:provider_at_wrong_call",
+    "gauge44:stale_partner_program_consistent_call_hashes",
+    "gauge44:stale_partner_profile_consistent_child_total",
+    "gauge44:relocated_against_partner_same_counts",
+    "gauge44:compensating_false_profiles_with_extra",
+    "gauge44:synchronized_forged_source_recipe_hash",
+    "gauge44:synchronized_forged_phase_review_semantics",
+    "gauge44:width_order_swap_4_5",
+    "gauge44:width_inventory_shift_4_5",
+    "gauge44:width_order_swap_4_7",
+    "gauge44:width_inventory_shift_4_7",
+    "gauge44:width_order_swap_4_8",
+    "gauge44:width_inventory_shift_4_8",
+    "gauge44:width_order_swap_4_9",
+    "gauge44:width_inventory_shift_4_9",
+    "gauge44:width_order_swap_5_7",
+    "gauge44:width_inventory_shift_5_7",
+    "gauge44:width_order_swap_5_8",
+    "gauge44:width_inventory_shift_5_8",
+    "gauge44:width_order_swap_5_9",
+    "gauge44:width_inventory_shift_5_9",
+    "gauge44:width_order_swap_7_8",
+    "gauge44:width_inventory_shift_7_8",
+    "gauge44:width_order_swap_7_9",
+    "gauge44:width_inventory_shift_7_9",
+    "gauge44:width_order_swap_8_9",
+    "gauge44:width_inventory_shift_8_9",
+    "gauge44:cold_helper_width_swap_278",
+    "gauge44:cold_helper_width_swap_281",
+    "gauge44:cold_helper_width_swap_284",
+    "gauge44:cold_helper_width_swap_289",
+    "wrong_owner_receipt_hash"
+  ],
+  "discovery_accepted_controls": [],
+  "exact_outer_controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "conservative_outer_controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "recurrence_model_controls": [
+    "native_complex_endpoint_rejected_with_old_surcharge",
+    "omitting_bit_surcharge_would_fail_next_endpoint_rejection"
+  ],
+  "scope": "Complete receipt schema; ordered widths and both reflected providers; exact program, work and paid-profile binding; independently recounted compiler, conservative envelope and finite inequalities. Does not replace fresh physical replay."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/ASSEMBLY.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/ASSEMBLY.json
new file mode 100644
index 0000000000..894af822a6
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/ASSEMBLY.json
@@ -0,0 +1,516 @@
+{
+  "status": "PASS_GAUGE44_NATIVE_EXACT_GLOBAL_ASSEMBLY",
+  "kappa": "858571873919839/500000000000000000",
+  "kappa_decimal": "0.001717143747839678",
+  "complex_lower": "86004870116989085803/50000000000000000000000",
+  "complex_decimal": "0.00172009740233978171606",
+  "bit_lower": "1733427039589844234749/1000000000000000000000000",
+  "bit_decimal": "0.001733427039589844234749",
+  "binding": "complex",
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+  "conservative_controls": [
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+  "model_controls": [
+    "native_complex_endpoint_rejected_with_old_surcharge",
+    "omitting_bit_surcharge_would_fail_next_endpoint_rejection"
+  ],
+  "native_correction_gain": "2.933499E-12",
+  "template_sha256": "9804d837fb43174e02dd0c73cb8f25dc3d0a1b447ccce31ff1d3afdfc35a1cf7",
+  "input_sha256": {
+    "owner_audit": "720df4c957feef0dc9a697b179885991207a77760a388bacb55eba511f735dce",
+    "fresh_invoice": "a847e6e9abda6ccb361d16f8593c22cdc8a222e117c13bff67131464de143793",
+    "package:inputs/PR589-EXPECTED.json": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4",
+    "engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482",
+    "engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098",
+    "engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c"
+  },
+  "bit_supplier": {
+    "pr": 589,
+    "repository": "CrocSwap/integer-mult-bounds",
+    "commit": "a5afc8c6169ea61ba7c51dfd3cade02cc7b13b46",
+    "merged_as": "b3eb785ac5b4b1ca2beea0f80db078a505626a90",
+    "path": "research/e8-bit-p111-tuned/tune/EXPECTED.json",
+    "git_blob_sha1": "e293ddc557742637f9f679f083a1a282d87b1b13",
+    "word": {
+      "v": 111,
+      "decoder_constant": 63,
+      "copy_ranks": [
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7
+      ]
+    },
+    "derived_deficit": 10272,
+    "deficit_formula": "T(2Kv-L*cst), L=9 T=32 K=4 M=64",
+    "replay_scope": "Cited unchanged supplier; this assembly reprices its full profile and does not rebuild its bit circuit."
+  },
+  "moments": [
+    {
+      "side": "bit",
+      "surcharge": true,
+      "endpoint": "1733427039589844234749/1000000000000000000000000",
+      "accept": true,
+      "mercator": [
+        "-43100600330766044577088869872467188970742291/26959946667150639794667015087019630673637144422540572481103610249216",
+        "-43100600330766044577088869872467188970742289/26959946667150639794667015087019630673637144422540572481103610249216"
+      ],
+      "base_two": [
+        "-799345163337715793503/500000000000000000000000000000000000000000000",
+        "-3197378653350863173989/2000000000000000000000000000000000000000000000"
+      ]
+    },
+    {
+      "side": "bit",
+      "surcharge": true,
+      "endpoint": "6933708158359376939/4000000000000000000000",
+      "accept": false,
+      "mercator": [
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+        "5625733726418952328758833371341421518429637/3369993333393829974333376885877453834204643052817571560137951281152"
+      ],
+      "base_two": [
+        "8346798366759439729359/5000000000000000000000000000000000000000000000",
+        "16693606733518879458833/10000000000000000000000000000000000000000000000"
+      ]
+    },
+    {
+      "side": "complex",
+      "surcharge": false,
+      "endpoint": "86004870116989085803/50000000000000000000000",
+      "accept": true,
+      "mercator": [
+        "-33997570931505685032421586905494131219528943/26959946667150639794667015087019630673637144422540572481103610249216",
+        "-33997570931505685032421586905494131219528941/26959946667150639794667015087019630673637144422540572481103610249216"
+      ],
+      "base_two": [
+        "-15763/12500000000000000000000000000",
+        "-1261039/1000000000000000000000000000000"
+      ]
+    },
+    {
+      "side": "complex",
+      "surcharge": false,
+      "endpoint": "1720097402339781716061/1000000000000000000000000",
+      "accept": false,
+      "mercator": [
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+        "21463210231398949112555984388098968476848431/13479973333575319897333507543509815336818572211270286240551805124608"
+      ],
+      "base_two": [
+        "1592229/1000000000000000000000000000000",
+        "159223/100000000000000000000000000000"
+      ]
+    }
+  ],
+  "bootstrap": [
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+      "grid_bits": 164,
+      "exponent_numerator_sha256": "0849465f37980e29b29b690b3ad06111f40f1c97327679a16c32aa589fcb9728",
+      "gap_numerator_sha256": "411304fd5ccd819c601ee219d743c03ab6af3a66699bd47a556da090dcca7020",
+      "log2C_bound_sha256": "1a1cf797fabe7f95836fabeca626907c77b3e6c9aff7c2290b396a238c69362e",
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+      "carry_bits_bit_length": 36
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+    {
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+      "gap_numerator_sha256": "de324f806b22ff63e6b3c70f01e27350d8e78fce601dcd8d927a2d8214cae422",
+      "log2C_bound_sha256": "8ca868f3454bd7640738122dc0ec24d243fe0a17d0f6e056f0d3604a7e57869a",
+      "cutoff_log2_power_of_two_exponent": 66,
+      "carry_bits_bit_length": 48
+    },
+    {
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+      "grid_bits": 164,
+      "exponent_numerator_sha256": "0c6aa2171e38e6e139227ef30bfd62b96c556fa3f107fa1c2a544149bca98dc7",
+      "gap_numerator_sha256": "4fff2a0f873de92241022b9ff4d83b50387aa6920f9590b1a787d22e040b69d9",
+      "log2C_bound_sha256": "01ef80442cdd7dbb501820216174dea88aadde6bcd99ff6197de356ddb374f10",
+      "cutoff_log2_power_of_two_exponent": 87,
+      "carry_bits_bit_length": 60
+    },
+    {
+      "step": 3,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "a2487fb7f4b48170a0363356257aeccbdba0e1c596cf9e7a1df6181da70905c2",
+      "gap_numerator_sha256": "5b07cb68a090d191e460d771711de37257c5be688f55fd3053cd8a4034746f70",
+      "log2C_bound_sha256": "7f894c1ea4e04486a75b5d15579bf77173d7bc07fe2fd8b737cff95649bfd17c",
+      "cutoff_log2_power_of_two_exponent": 108,
+      "carry_bits_bit_length": 72
+    },
+    {
+      "step": 4,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "8be57e48409b80a995735660e7586ec9e582d6bcc9d1895d3904ed0d88f8f7a1",
+      "gap_numerator_sha256": "db45fa268214b7e2b4644ad7df60f96cca732bc5390041228b07ade413b31757",
+      "log2C_bound_sha256": "4cbb8acbeaa80e326518c783be5896d247895657d23f744a8d8235fcab08a922",
+      "cutoff_log2_power_of_two_exponent": 130,
+      "carry_bits_bit_length": 85
+    },
+    {
+      "step": 5,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "67af3fc03231aa4a4f5d01ecacdfe5cfecc1f26e867d1b9033a86543113227a9",
+      "gap_numerator_sha256": "57238a6aab597623d27bcc1ca17198c4f616499fe893bd54bc2850e73928b71b",
+      "log2C_bound_sha256": "3590b7c7c6b00dbeaa7ad3659f196c5344d2ce2e904d418e0ccbf25553cc8108",
+      "cutoff_log2_power_of_two_exponent": 152,
+      "carry_bits_bit_length": 97
+    },
+    {
+      "step": 6,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "c5ba6c50c2f4c56704380ef670d78303378d3ee73e0d6eeb5cb4c7bc46409b12",
+      "gap_numerator_sha256": "99a19069cc61d097604c5dbdccf5841899c1d0fc1536dd333e8a87bd2a2736d2",
+      "log2C_bound_sha256": "bc8d554da6c1fec299a380c02ce081b6b5b1e22da4671d089b6d5b972b9fdde2",
+      "cutoff_log2_power_of_two_exponent": 173,
+      "carry_bits_bit_length": 109
+    },
+    {
+      "step": 7,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "1936e23dcc0c9648cab503c9755e88b7fc5dbe3130669906c864b182aef1c4e8",
+      "gap_numerator_sha256": "ae9362c38257f0baafda3d4d031920bf6bef4a70c8723f18383c36c6102eadb2",
+      "log2C_bound_sha256": "4beb196daf41605e334a9e56570fb82058eb7827a7bede455bb0dd691cc006e9",
+      "cutoff_log2_power_of_two_exponent": 194,
+      "carry_bits_bit_length": 121
+    },
+    {
+      "step": 8,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "2df4069e970da5f6a525513cd29108f1b8dfd6fd2db63b9780a3f6c3fee9d725",
+      "gap_numerator_sha256": "c12cffcc1bfc74f93f77cde993a4cecb3412e92f5d7b94a154ff75b02b958ed2",
+      "log2C_bound_sha256": "5806b2b1bf1f5050b6d417cf7b6a71b1fbb0691673cee309b30070308233d047",
+      "cutoff_log2_power_of_two_exponent": 215,
+      "carry_bits_bit_length": 133
+    },
+    {
+      "step": 9,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "4c5eea19ed3ae8d5fc4e86c87e68c4730cb6f28fabbb443eb73b5b10be3bad3d",
+      "gap_numerator_sha256": "9cb774d999083461d109a0c2706510f9d3221f32b4782c1c7957607ce5b57c4b",
+      "log2C_bound_sha256": "9f54ecfbc58209a5c0ee9e2a9a885d3479d1af3dc603cfeeb8d1f99cfc521d95",
+      "cutoff_log2_power_of_two_exponent": 237,
+      "carry_bits_bit_length": 146
+    },
+    {
+      "step": 10,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "0d6bd52d480ac5fb99e9f250ae9b371f46ed278690d3470b905b382fa4b23f9d",
+      "gap_numerator_sha256": "0af1af5094b738aa5a0f63a978c4ab2d1bc540151406ef865bfc836b28157b40",
+      "log2C_bound_sha256": "ba444b6360c794a9ec8dc172a861ff1300eb59e209be9db57ff1c152819ae92b",
+      "cutoff_log2_power_of_two_exponent": 259,
+      "carry_bits_bit_length": 158
+    },
+    {
+      "step": 11,
+      "grid_bits": 164,
+      "exponent_numerator_sha256": "ca7f133a8622a209623f9f81ccb7846e81e894295e9a39d67d4d327acd2326cb",
+      "gap_numerator_sha256": "6bde0ce8d0332443724cf3884fff06d9da30f3fbef638ee9603002b7bce3b56d",
+      "log2C_bound_sha256": "6f248715a3e1eea06c6b22471c085672477158fdf25cf59757821d45dc4f7794",
+      "cutoff_log2_power_of_two_exponent": 280,
+      "carry_bits_bit_length": 170
+    },
+    {
+      "control": "uncarried_cutoffs_fail_carry_rule",
+      "stages_checked": [
+        2,
+        3,
+        4,
+        5,
+        6,
+        7
+      ],
+      "all_rejected": true
+    }
+  ],
+  "outer": {
+    "bit_positive": "40222802718211581732370731820816776652159647385/23384026197294446691258957323460528314494920687616",
+    "complex_above_bit": "75825563339736788753719791138455387/278759314981632789269196478408104518824755200000000000000000000000",
+    "complex_below_one_over32": "1476495129883010914197/50000000000000000000000",
+    "beta_positive": "1/10000000000000000000000000000",
+    "beta_below_one": "9999999999999999999999999999/10000000000000000000000000000",
+    "leaf_saving_above_bit": "1038471087140755096767359650614009271168202149778208523/10384593717069655257060992658440192000000000000000000000000000000000000000000000000000",
+    "q_positive": "40222802718211581732370731812772216108517331038525853635836644669568070523/23384026197294446691258957323460528314494920687616000000000000000000000000000",
+    "q_below_internal": "8044560543642316346474146364163355330431929477/23384026197294446691258957323460528314494920687616000000000000000000000000000",
+    "q_below_leaf": "618874403487645722244662754444442177313131212858333356994248869/1393796574908163946345982392040522594123776000000000000000000000000000000000000000000000000000",
+    "c_positive": "201114013591057908661853661986864355204392491599998933611749262659705438567/116920130986472233456294786617302641572474603438080000000000000000000000000000",
+    "c_below_one": "116719016972881175547632932955315777217270210946480001066388250737340294561433/116920130986472233456294786617302641572474603438080000000000000000000000000000",
+    "q_below_reservations": "1/40000000000000000000000000000",
+    "lambda_above_tau": "8044560543642316346474146364163355330431929477/46768052394588893382517914646921056628989841375232000000000000000000000000000",
+    "lambda_above_sigma": "20765979088366771227149423758210874671057849477/46768052394588893382517914646921056628989841375232000000000000000000000000000",
+    "lambda_above_internal": "8044560543642316346474146364163355330431929477/46768052394588893382517914646921056628989841375232000000000000000000000000000",
+    "lambda_prime_above_lambda": "8044560543642316346474146364163355330431929477/46768052394588893382517914646921056628989841375232000000000000000000000000000",
+    "compact_leaf": "618874403487645722244662754444442177313131212858333356994248869/1393796574908163946345982392040522594123776000000000000000000000000000000000000000000000000000",
+    "compact_reservations": "1/40000000000000000000000000000",
+    "lambda_prime_below_one": "40222802718211581732370731812772216108517331038525853635836644669568070523/23384026197294446691258957323460528314494920687616000000000000000000000000000",
+    "epsilon_positive": "1181011424105780135922169561672834631048761415075257791295653897401540804608/1183042878788518094595521618953196996495123132255279083516961446700483235885",
+    "epsilon_below_one": "2031454682737958673352057280362365446361717180021292221307549298942431277/1183042878788518094595521618953196996495123132255279083516961446700483235885",
+    "guard_width": "2031454682737958673352057280362365446361717180021292221307549298942431277/1183042878788518094595521618953196996495123132255279083516961446700483235885",
+    "K_geometry": "887790022762073060614979228534988338732932778486464635693047972350098034733/11830428787885180945955216189531969964951231322552790835169614467004832358850000000000000000000000000000",
+    "K_dominates_log": "6771515609126528911173523971944543900514703728411231226029051418830511427845121435650675883300655089/3943476262628393648651738729843989988317077107517596945056538155668277452950000000000000000000000000000",
+    "record_suffix": "2031454682737958673352057280362365446361717180021292221307549298942431277/1183042878788518094595521618953196996495123132255279083516961446700483235885",
+    "phase_local": "32503274923807338773632916249189271384083855961236351750281389484054273980944183296607710659903352823/18928686060616289513528345903251151943921970116084465336271383147207731774160000000000000000000000000000",
+    "phase_boundary": "6500654984761467754726583060550993670653876056963811317544758457591153635344183296607710659903352823/3785737212123257902705669180650230388784394023216893067254276629441546354832000000000000000000000000000",
+    "gamma_sublinear": "1/20000000000000000000000000000",
+    "cell_above_band": "4724045696423120543688678246454729948437342041381926841391976190307138591980944183296607710659903352823/9464343030308144756764172951625575971960985058042232668135691573603865887080000000000000000000000000000",
+    "prime_interval_packing": "2031454682737958673352057280362365446361717180021292221307549298942431277/1183042878788518094595521618953196996495123132255279083516961446700483235885",
+    "alpha_positive": "8125818730951834693408228884840886027743249800980845094590797896745098656944183296607710659903352823/4732171515154072378382086475812787985980492529021116334067845786801932943540000000000000000000000000000",
+    "alpha_below_one": "4724045696423120543688678246927947099952749279220135488973254988905187844883055816703392289340096647177/4732171515154072378382086475812787985980492529021116334067845786801932943540000000000000000000000000000",
+    "alpha_below_one_fourth": "1174917060057566259902113390068356110467379882454298238422370648803738137228055816703392289340096647177/4732171515154072378382086475812787985980492529021116334067845786801932943540000000000000000000000000000",
+    "delta_positive": "1/80000000000000000000000000000",
+    "delta_below_one_eighth": "9999999999999999999999999999/80000000000000000000000000000",
+    "short_record_fallback": "27569216780272889243268958075145941048757009568153516498017930911016002690507305632500651161707403846583646736002607882923803/27664305670113345808106952515658799478920620288831808940490857076542675925881941374121976906418328394262348645393684926300160",
+    "small_field_exposure": "1/10000000000000000000000000000",
+    "artificial_boundary": "132533305699237833933472054239953687181868689144228911000812521017134275198905167450110176868020289941531/18928686060616289513528345903251151943921970116084465336271383147207731774160000000000000000000000000000",
+    "literal_scalar_guard": "1",
+    "row_product_gap": "23971789/25",
+    "balanced_prefix_above_kappa": "81344561754153978813621155302985105373386065995201126755297917787636355497/118304287878851809459552161895319699649512313225527908351696144670048323588500000000000000000",
+    "coordinate_movement_above_kappa": "263474785645225255427426476569119598997327304614178656433/89202980794122492566142873090593446023921664000000000000000000",
+    "compact_phase_layer_above_kappa": "1626891234846471000514719487140597783677081920604997908654902539049334820599903352823/2366085757577036189191043237906393992990246264510558167033922893400966471770000000000000000000000000000",
+    "bulk_exposure_above_kappa": "263474785645225255427426476569119598997327304614178656433/89202980794122492566142873090593446023921664000000000000000000",
+    "Gaussian_arithmetic_above_kappa": "2603025975896318746278173350776419048157714712547411429718477552500971086563903352823/3785737212123257902705669180650230388784394023216893067254276629441546354832000000000000000000000000000",
+    "scalar_work_above_kappa": "13015129880428028034421681229558512535951131159933155654396611029318424590179903352823/18928686060616289513528345903251151943921970116084465336271383147207731774160000000000000000000000000000",
+    "dimension_above_kappa": "117897996942304217806226312193401205373861125092508755280820700805460964088397917787636355497/118304287878851809459552161895319699649512313225527908351696144670048323588500000000000000000"
+  },
+  "controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "scope": "Conditional R480 seven-slot k8 construction with a source-bound replica count. The owner map attains the fixed-inventory bin bound. The full conservative invoice, native moment correction, PR589 bit surcharge and 47 outer inequalities are checked. Local admission and all-size/compiler, mutable-source, whole-call hosting, precision/tape, exact-recovery, analytic-transfer and bit H1-H5 assumptions remain."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/BIT-CONTROLS.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/BIT-CONTROLS.json
new file mode 100644
index 0000000000..e06a912293
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/BIT-CONTROLS.json
@@ -0,0 +1,49 @@
+{
+  "status": "PASS_PR589_BIT_SUPPLIER_DERIVED_DEFICIT_NEGATIVE_CONTROLS",
+  "kappa": "0.001717143747839678",
+  "bit_lower": "1733427039589844234749/1000000000000000000000000",
+  "bit_decimal": "0.001733427039589844234749",
+  "binding": "complex",
+  "bit_supplier": {
+    "pr": 589,
+    "repository": "CrocSwap/integer-mult-bounds",
+    "commit": "a5afc8c6169ea61ba7c51dfd3cade02cc7b13b46",
+    "merged_as": "b3eb785ac5b4b1ca2beea0f80db078a505626a90",
+    "path": "research/e8-bit-p111-tuned/tune/EXPECTED.json",
+    "git_blob_sha1": "e293ddc557742637f9f679f083a1a282d87b1b13",
+    "word": {
+      "v": 111,
+      "decoder_constant": 63,
+      "copy_ranks": [
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7
+      ]
+    },
+    "derived_deficit": 10272,
+    "deficit_formula": "T(2Kv-L*cst), L=9 T=32 K=4 M=64",
+    "replay_scope": "Cited unchanged supplier; this assembly reprices its full profile and does not rebuild its bit circuit."
+  },
+  "derived_deficit": 10272,
+  "rejected_controls": [
+    "revert_hardcoded_9984",
+    "ports_112",
+    "decoder_constant_64_copy_ranks_unchanged",
+    "decoder_constant_64_with_one_copy_rank_8",
+    "eight_retained_totals",
+    "live_minus_one",
+    "profile_rank_mass_plus_one",
+    "profile_rank_mass_receipt_mismatch",
+    "bit_lower_next_grid",
+    "not_nine_stage_record",
+    "tampered_bytes_next_grid",
+    "pr543_file_under_pr589_pin"
+  ],
+  "assembler_sha256": "4e7b5ddd11b23c92ab26bc0c80884ed64a2d45e9247b5f52bc03f27fa83dbee0"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/INDEPENDENT.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/INDEPENDENT.json
new file mode 100644
index 0000000000..aba0ba32a8
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/INDEPENDENT.json
@@ -0,0 +1,212 @@
+{
+  "status": "PASS_INDEPENDENT_VARIABLE_T_LITERAL_WINDOWS_CHARTS_PREFIX_ROW",
+  "roles": 271728,
+  "calls": 666,
+  "source_events_per_replica": 30,
+  "expanded_replica_events": 2220,
+  "bridge_events": 666,
+  "literal_windows": 1332,
+  "checked_whole_helper_widths": 271728,
+  "checked_busy_family_windows": 271728,
+  "orthogonal_port_bases": 112,
+  "actual_73_axis_charts": 6458,
+  "checked_slice_prefixes": 149184,
+  "local_profiles": {
+    "gauge44": {
+      "1": 2394,
+      "2": 642,
+      "4": 128,
+      "8": 8,
+      "3": 266,
+      "5": 26
+    },
+    "extra": {
+      "1": 2394,
+      "2": 642,
+      "4": 128,
+      "8": 8,
+      "3": 266,
+      "5": 26
+    }
+  },
+  "width_inventories": {
+    "gauge44": {
+      "9": 234,
+      "4": 26,
+      "8": 84,
+      "7": 62,
+      "5": 2
+    },
+    "extra": {
+      "9": 234,
+      "4": 26,
+      "8": 84,
+      "7": 62,
+      "5": 2
+    }
+  },
+  "idle": {
+    "1": 17316,
+    "2": 1,
+    "3": 6394,
+    "5": 8880,
+    "16": 1,
+    "48": 26758
+  },
+  "profile": {
+    "1": 1611720,
+    "2": 427573,
+    "3": 183550,
+    "4": 85248,
+    "5": 26196,
+    "8": 5328,
+    "16": 1,
+    "48": 26758
+  },
+  "live": 66304,
+  "physical": 66794,
+  "rank_mass": 4816512,
+  "deficit": 23680,
+  "namespace": {
+    "data": [
+      0,
+      66304
+    ],
+    "centres": [
+      66304,
+      66312
+    ],
+    "tableau": [
+      66312,
+      66720
+    ],
+    "zero_buffers": [
+      66720,
+      66792
+    ],
+    "coefficient": [
+      66792,
+      66794
+    ]
+  },
+  "local_prefix_bits": 70,
+  "local_prefix_from_native_receipt": true,
+  "local_profile_recounted": true,
+  "prefix_formula": {
+    "local_scalar": 70,
+    "input_l2": 37,
+    "invocations": 666,
+    "bridges": 666,
+    "active_block_depth": 18,
+    "stock_l2": 1322,
+    "partial_cover": 1,
+    "margin": 4
+  },
+  "blocknorm": {
+    "status": "PASS_TENSOR_BLOCK_NORM_CERTIFICATE",
+    "replicas": 74,
+    "physical_families": 66794,
+    "live_families": 66304,
+    "max_active_depth": 18,
+    "boundary_depth_bits": 18,
+    "stock_l2_bits": 1322,
+    "stocknorm_bits": 1322,
+    "physical_stock_bits": 2644,
+    "partial_cover_bits": 1,
+    "local_actual_prefix_bits": 70,
+    "local_reserve_bits": 128,
+    "input_l2_bits": 37,
+    "actual_prefix_bits": 1452,
+    "required_reserve_bits": 1510,
+    "retained_payload_bits": 2048,
+    "foreign_helper_roles_checked": 250370,
+    "endpoint_replay": {
+      "gauge44": {
+        "forward": {
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+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        },
+        "backward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        }
+      },
+      "extra": {
+        "forward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        },
+        "backward": {
+          "all_arbitrary_columns": 632,
+          "helper_to_data_response_zero": true,
+          "centres_first_clear_and_terminal_zero": 8,
+          "zero_buffers_allocated_and_cleared": 72,
+          "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+        }
+      }
+    },
+    "scope": "Pre-emission finite premises only. Caller must retain exact source projection, actual phase/primitive audits, check_roles windows/charts and complete release."
+  },
+  "prefix_bits": 1452,
+  "charged_prefix_bits": 2048,
+  "physical_stock_bits": 2644,
+  "physical_row_coefficient": 19545,
+  "row_limit": 20161,
+  "scope": "Finite role/window/chart and inherited prefix/row obligations. Requires separately admitted local supplier and emitted controller, complete finite invoice, exact moments and outer assembly; no all-size theorem is asserted.",
+  "controls_rejected": [
+    {
+      "name": "private_namespace_collision",
+      "reason": "private-namespace collision"
+    },
+    {
+      "name": "copy_replica_alias",
+      "reason": "role invocation time"
+    },
+    {
+      "name": "missing_whole_helper",
+      "reason": "complete helper role count"
+    },
+    {
+      "name": "split_whole_helper",
+      "reason": "complete helper role count"
+    },
+    {
+      "name": "truncated_helper_width",
+      "reason": "whole-helper residual width"
+    },
+    {
+      "name": "cross_idle_boundary",
+      "reason": "strict bridge-aware idle window"
+    },
+    {
+      "name": "cross_child_pending_axis_alias",
+      "reason": "overlapping pending children on one family"
+    },
+    {
+      "name": "wrong_provider_at_changed_call",
+      "reason": "whole-helper residual width"
+    }
+  ],
+  "disjoint_pending_child_axis_checks": 2016,
+  "provider_counts": {
+    "extra": 416,
+    "gauge44": 250
+  },
+  "input_sha256": {
+    "/workspace/scratch/bc9e58970b2a/pair-admission/release/verify/parent/layout/packing74/candidate/PLAN.json": "b322579eb05881adf0b502528f82d69d53a55df7bb64946a504ffcd4f5dc6b5b",
+    "/workspace/scratch/bc9e58970b2a/pair-admission/release/verify/parent/layout/packing74/candidate/DISPATCH.json": "65e435bd68e97243c003677271b88485a29d4d0fae2dff1354100404a145e74c",
+    "/workspace/scratch/bc9e58970b2a/pair-admission/release/verify/parent/layout/packing74/candidate/OWNERS.json.gz": "e6bcc70369187a061225511460f6ac7378a3348acf83d7b8f2847ad55488bfe9",
+    "/workspace/scratch/bc9e58970b2a/pair-admission/release/verify/parent/layout/demotions1148-round43/baseline-replay/parent/t16/global8/base/split-centres/GLOBAL-TEMPLATE.json.gz": "ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b",
+    "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local/CANONICAL-WORD.json.gz": "3c6499ee5d98c3c7ba3aecc321f94cdda1d06a3e2e169c7fc3e3644958ab53dd",
+    "/workspace/scratch/bc9e58970b2a/pair-admission/release/verify/parent/layout/packing74/native-extra/local/CANONICAL-WORD.json.gz": "20b343ff9f7e98111ab1318bb460d2988901500b48dbec211790efcd4ce7354d"
+  }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/RESULT.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/RESULT.json
new file mode 100644
index 0000000000..ab14010c85
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/RESULT.json
@@ -0,0 +1,268 @@
+{
+  "status": "PASS_STRICT_MIXED_T74_EXACT_FILL",
+  "kappa": "858571873919839/500000000000000000",
+  "kappa_decimal": "0.001717143747839678",
+  "steps": [
+    {
+      "name": "bind",
+      "seconds": 0.8150946659998226,
+      "exit_code": 0,
+      "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+    },
+    {
+      "name": "emit",
+      "seconds": 22.38049897200017,
+      "exit_code": 0,
+      "log_sha256": "a72b4d2987db76241b319321a47193cc1e9e8ea2d159e248abbedb99ffdcb9e1"
+    },
+    {
+      "name": "audit",
+      "seconds": 57.91927579000003,
+      "exit_code": 0,
+      "log_sha256": "1639ed5c2dfb6400d22f82c405ba53c0dffc85308d190d9792f55cb41b60de07"
+    },
+    {
+      "name": "invoice",
+      "seconds": 4.683536613999422,
+      "exit_code": 0,
+      "log_sha256": "3baf980268f9ed8cfb1f465e71ca2cdc8f04b8b6cd9fb3f51575a61c5e467561"
+    },
+    {
+      "name": "assembly",
+      "seconds": 0.6209247179995145,
+      "exit_code": 0,
+      "log_sha256": "bc338da251d6fd3e5e4557856af672c42d7eaecf43e8ebae2cda0e12ac81a34d"
+    },
+    {
+      "name": "admission",
+      "seconds": 1.3966173529997832,
+      "exit_code": 0,
+      "log_sha256": "ed18dce7229c1bdb4a487dad40c1f457e49127f6c92ad3f9ddc1978471e96996"
+    },
+    {
+      "name": "bit",
+      "seconds": 0.9995068460002585,
+      "exit_code": 0,
+      "log_sha256": "d54d260bf95bd8ae4ab8846314082b93b2e3d8f427eb35376691f2ce543a6b67"
+    },
+    {
+      "name": "independent",
+      "seconds": 6.405422505999923,
+      "exit_code": 0,
+      "log_sha256": "d2c176fb1b9778e4fb8b98b6272d5f713d676ea3fed84da20213eca036bb58fe"
+    }
+  ],
+  "independent": {
+    "status": "PASS_INDEPENDENT_VARIABLE_T_LITERAL_WINDOWS_CHARTS_PREFIX_ROW",
+    "roles": 271728,
+    "calls": 666,
+    "source_events_per_replica": 30,
+    "expanded_replica_events": 2220,
+    "bridge_events": 666,
+    "literal_windows": 1332,
+    "checked_whole_helper_widths": 271728,
+    "checked_busy_family_windows": 271728,
+    "orthogonal_port_bases": 112,
+    "actual_73_axis_charts": 6458,
+    "checked_slice_prefixes": 149184,
+    "local_profiles": {
+      "gauge44": {
+        "1": 2394,
+        "2": 642,
+        "4": 128,
+        "8": 8,
+        "3": 266,
+        "5": 26
+      },
+      "extra": {
+        "1": 2394,
+        "2": 642,
+        "4": 128,
+        "8": 8,
+        "3": 266,
+        "5": 26
+      }
+    },
+    "width_inventories": {
+      "gauge44": {
+        "9": 234,
+        "4": 26,
+        "8": 84,
+        "7": 62,
+        "5": 2
+      },
+      "extra": {
+        "9": 234,
+        "4": 26,
+        "8": 84,
+        "7": 62,
+        "5": 2
+      }
+    },
+    "idle": {
+      "1": 17316,
+      "2": 1,
+      "3": 6394,
+      "5": 8880,
+      "16": 1,
+      "48": 26758
+    },
+    "profile": {
+      "1": 1611720,
+      "2": 427573,
+      "3": 183550,
+      "4": 85248,
+      "5": 26196,
+      "8": 5328,
+      "16": 1,
+      "48": 26758
+    },
+    "live": 66304,
+    "physical": 66794,
+    "rank_mass": 4816512,
+    "deficit": 23680,
+    "namespace": {
+      "data": [
+        0,
+        66304
+      ],
+      "centres": [
+        66304,
+        66312
+      ],
+      "tableau": [
+        66312,
+        66720
+      ],
+      "zero_buffers": [
+        66720,
+        66792
+      ],
+      "coefficient": [
+        66792,
+        66794
+      ]
+    },
+    "local_prefix_bits": 70,
+    "local_prefix_from_native_receipt": true,
+    "local_profile_recounted": true,
+    "prefix_formula": {
+      "local_scalar": 70,
+      "input_l2": 37,
+      "invocations": 666,
+      "bridges": 666,
+      "active_block_depth": 18,
+      "stock_l2": 1322,
+      "partial_cover": 1,
+      "margin": 4
+    },
+    "blocknorm": {
+      "status": "PASS_TENSOR_BLOCK_NORM_CERTIFICATE",
+      "replicas": 74,
+      "physical_families": 66794,
+      "live_families": 66304,
+      "max_active_depth": 18,
+      "boundary_depth_bits": 18,
+      "stock_l2_bits": 1322,
+      "stocknorm_bits": 1322,
+      "physical_stock_bits": 2644,
+      "partial_cover_bits": 1,
+      "local_actual_prefix_bits": 70,
+      "local_reserve_bits": 128,
+      "input_l2_bits": 37,
+      "actual_prefix_bits": 1452,
+      "required_reserve_bits": 1510,
+      "retained_payload_bits": 2048,
+      "foreign_helper_roles_checked": 250370,
+      "endpoint_replay": {
+        "gauge44": {
+          "forward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          },
+          "backward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          }
+        },
+        "extra": {
+          "forward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          },
+          "backward": {
+            "all_arbitrary_columns": 632,
+            "helper_to_data_response_zero": true,
+            "centres_first_clear_and_terminal_zero": 8,
+            "zero_buffers_allocated_and_cleared": 72,
+            "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro"
+          }
+        }
+      },
+      "scope": "Pre-emission finite premises only. Caller must retain exact source projection, actual phase/primitive audits, check_roles windows/charts and complete release."
+    },
+    "prefix_bits": 1452,
+    "charged_prefix_bits": 2048,
+    "physical_stock_bits": 2644,
+    "physical_row_coefficient": 19545,
+    "row_limit": 20161,
+    "scope": "Finite role/window/chart and inherited prefix/row obligations. Requires separately admitted local supplier and emitted controller, complete finite invoice, exact moments and outer assembly; no all-size theorem is asserted.",
+    "controls_rejected": [
+      {
+        "name": "private_namespace_collision",
+        "reason": "private-namespace collision"
+      },
+      {
+        "name": "copy_replica_alias",
+        "reason": "role invocation time"
+      },
+      {
+        "name": "missing_whole_helper",
+        "reason": "complete helper role count"
+      },
+      {
+        "name": "split_whole_helper",
+        "reason": "complete helper role count"
+      },
+      {
+        "name": "truncated_helper_width",
+        "reason": "whole-helper residual width"
+      },
+      {
+        "name": "cross_idle_boundary",
+        "reason": "strict bridge-aware idle window"
+      },
+      {
+        "name": "cross_child_pending_axis_alias",
+        "reason": "overlapping pending children on one family"
+      },
+      {
+        "name": "wrong_provider_at_changed_call",
+        "reason": "whole-helper residual width"
+      }
+    ],
+    "disjoint_pending_child_axis_checks": 2016,
+    "provider_counts": {
+      "extra": 416,
+      "gauge44": 250
+    },
+    "input_sha256": {
+      "/workspace/scratch/bc9e58970b2a/pair-admission/release/verify/parent/layout/packing74/candidate/PLAN.json": "b322579eb05881adf0b502528f82d69d53a55df7bb64946a504ffcd4f5dc6b5b",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/release/verify/parent/layout/packing74/candidate/DISPATCH.json": "65e435bd68e97243c003677271b88485a29d4d0fae2dff1354100404a145e74c",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/release/verify/parent/layout/packing74/candidate/OWNERS.json.gz": "e6bcc70369187a061225511460f6ac7378a3348acf83d7b8f2847ad55488bfe9",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/release/verify/parent/layout/demotions1148-round43/baseline-replay/parent/t16/global8/base/split-centres/GLOBAL-TEMPLATE.json.gz": "ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b",
+      "/workspace/scratch/bc9e58970b2a/newer-frontier/replay-pinned/native/native-cache/001b14314d8db873d4d80826d4af9c40a3e5a1fecde743e5a26391bdf673f458/local/CANONICAL-WORD.json.gz": "3c6499ee5d98c3c7ba3aecc321f94cdda1d06a3e2e169c7fc3e3644958ab53dd",
+      "/workspace/scratch/bc9e58970b2a/pair-admission/release/verify/parent/layout/packing74/native-extra/local/CANONICAL-WORD.json.gz": "20b343ff9f7e98111ab1318bb460d2988901500b48dbec211790efcd4ce7354d"
+    }
+  },
+  "scope": "Conditional finite construction only; unchanged exact-head PR1297 native providers explicitly reused; all inherited theorem obligations retained."
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/STAGES.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/STAGES.json
new file mode 100644
index 0000000000..4e15bab5d0
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/STAGES.json
@@ -0,0 +1,50 @@
+[
+  {
+    "name": "bind",
+    "seconds": 0.8150946659998226,
+    "exit_code": 0,
+    "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+  },
+  {
+    "name": "emit",
+    "seconds": 22.38049897200017,
+    "exit_code": 0,
+    "log_sha256": "a72b4d2987db76241b319321a47193cc1e9e8ea2d159e248abbedb99ffdcb9e1"
+  },
+  {
+    "name": "audit",
+    "seconds": 57.91927579000003,
+    "exit_code": 0,
+    "log_sha256": "1639ed5c2dfb6400d22f82c405ba53c0dffc85308d190d9792f55cb41b60de07"
+  },
+  {
+    "name": "invoice",
+    "seconds": 4.683536613999422,
+    "exit_code": 0,
+    "log_sha256": "3baf980268f9ed8cfb1f465e71ca2cdc8f04b8b6cd9fb3f51575a61c5e467561"
+  },
+  {
+    "name": "assembly",
+    "seconds": 0.6209247179995145,
+    "exit_code": 0,
+    "log_sha256": "bc338da251d6fd3e5e4557856af672c42d7eaecf43e8ebae2cda0e12ac81a34d"
+  },
+  {
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/parent/complex-global/base/split-centres/CLIFFORD-RECIPES.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/parent/complex-global/base/split-centres/CLIFFORD-RECIPES.json
new file mode 100644
index 0000000000..526192f505
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/parent/complex-global/base/split-centres/CLIFFORD-RECIPES.json
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+    "missing_pre_wrapper",
+    "missing_post_wrapper",
+    "wrapper_with_wrong_frame",
+    "wrapper_in_wrong_phase",
+    "wrapper_on_a_data_register",
+    "wrapper_on_a_target_register",
+    "wrapper_on_a_centre_register"
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+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/parent/complex-global/base/split-centres/INDEPENDENT-REPLAY.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/parent/complex-global/base/split-centres/INDEPENDENT-REPLAY.json
new file mode 100644
index 0000000000..c2e057a3ab
--- /dev/null
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+{
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+      "charged_payload_bits": 192,
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+    "missing_post_wrapper",
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+    "wrapper_in_wrong_phase",
+    "wrapper_on_a_data_register",
+    "wrapper_on_a_target_register",
+    "wrapper_on_a_centre_register"
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+}
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index 0000000000..ba436009d7
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+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/parent/complex-global/base/split-centres/INTEGRATION.json
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new file mode 100644
index 0000000000..2b019f86cd
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+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/parent/complex-global/base/split-centres/LOCAL-CHECKS.json
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/parent/complex-global/base/split-centres/RESIDUAL-ADAPTERS.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/parent/complex-global/base/split-centres/RESIDUAL-ADAPTERS.json
new file mode 100644
index 0000000000..2a81814dca
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new file mode 100644
index 0000000000..5efe2efe55
--- /dev/null
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json
new file mode 100644
index 0000000000..d9a4f84211
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/runtime/construction/leaver/PIVOT-SWAP-k8.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/runtime/construction/leaver/PIVOT-SWAP-k8.json
new file mode 100644
index 0000000000..7a8edeb1e4
--- /dev/null
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/runtime/data/SPEC.json b/research/shared-kernel-pair-concentration/evidence/candidate-admission/release/verify/strict/runtime/data/SPEC.json
new file mode 100644
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-controller-audit.json b/research/shared-kernel-pair-concentration/evidence/candidate-controller-audit.json
new file mode 100644
index 0000000000..f5f4bd0c4c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-controller-audit.json
@@ -0,0 +1,103 @@
+{
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+    "gauge44: stale per-call local program hash",
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+    "gauge44: unbound residual adapter hash",
+    "gauge44: wrong per-call residual width",
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+  "provider_counts": {
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+  },
+  "all_provider_program_phase_and_wrapper_bindings": true,
+  "scope": "Independent exact asynchronous chronology, per-replica phase projection, owner/chart/paid-profile audit. Uses per-invocation local providers bound by exact scalar, phase and residual-wrapper receipts; all-size compilation and complete coefficient invoice are separate inherited obligations."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-final-manifest.json b/research/shared-kernel-pair-concentration/evidence/candidate-final-manifest.json
new file mode 100644
index 0000000000..4cd8f728fa
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-final-manifest.json
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+{
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-frozen-spec.json b/research/shared-kernel-pair-concentration/evidence/candidate-frozen-spec.json
new file mode 100644
index 0000000000..d9476c7165
--- /dev/null
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diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-outer-claim.json b/research/shared-kernel-pair-concentration/evidence/candidate-outer-claim.json
new file mode 100644
index 0000000000..fa7403c02c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-outer-claim.json
@@ -0,0 +1,13 @@
+{
+  "b": "certified complex_lower - 1e-104 (outer/B.json)",
+  "baseline_head": "c50d12e4720cd1fef2b5a65e337e37de9731879a",
+  "baseline_kappa": "17186585083049300048189999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "branch": "fine source-prime padding (PR1786, chafreaky; Trudgian's prime theorem; vendor/pr1786) with the gauge-free interiors (PR1758), the radix-distributed union schedule with per-visit tag work and the explicit Strassen boundary (tau=45/16); epsilon=1-1.0009765625e-3080 is a free parameter (outer/FINE-PADDING-COMPOSITION.md): kappa = C - 1/F - B, the fixed-grid maximum (epsilon q is 1.70e-3083 below q); the structured boundary of the previous package is not used; omega_C<=9/4 not used; recertified endpoint: the supplier native endpoint is certified to 1e-3000 (accept at the endpoint, reject at endpoint + 1e-3000, repaired fine engines in integer fixed point), and all free slacks are 1e-3080 or below",
+  "fixed_grid_maximum": "kappa=C-10^-70-10^-46 exactly; same fixed-grid-maximum proof at precision24.",
+  "gain": "1438894034851711241/1000000000000000000000000",
+  "kappa": "0.0017200974023397817160599999999999999999999998999999999999999999999999",
+  "kappa_rational": "17200974023397817160599999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "outer": "PR1673 capped phase-cell fusion (Vlado Vojdanovski)",
+  "retuned_slacks": "Endpoint precision24; free gaps follow outer/check_ledger.py from the frozen SPEC.",
+  "supplier": "PR1661 T74 pivot-566 stack with PR2226 anticipatory dirty borrowing, the PR2312 width exchange, frame refit and kernels, the PR2322 handoffs, the PR2435/PR2447 entrance raise, the PR2436 lifted-target aliases, and the PR2530 (zxv) eight source-partner aliases with an owner fill evacuated by the PR2559 (philippeVV) method; this package: six pre-life hostings (cold hosts 273, 275, 289, 291, 305, 321 host helpers 482, 483, 494, 495, 507, 519), a one-gate frame refit with the retired-lender alias 653<-563, and a new exact owner fill"
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-outer-independent.json b/research/shared-kernel-pair-concentration/evidence/candidate-outer-independent.json
new file mode 100644
index 0000000000..2b816a87a0
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-outer-independent.json
@@ -0,0 +1,43 @@
+{
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+          "1.8921071425737598e-107"
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+  "scope": "Independent balance derivation and margin comparisons for this package's supplier endpoint; the supplier native admission is bound by verify_release.py; inherited all-size assumptions remain."
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/candidate-outer-ledger.json b/research/shared-kernel-pair-concentration/evidence/candidate-outer-ledger.json
new file mode 100644
index 0000000000..3100768874
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/candidate-outer-ledger.json
@@ -0,0 +1,576 @@
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diff --git a/research/shared-kernel-pair-concentration/evidence/leading-review-checks.json b/research/shared-kernel-pair-concentration/evidence/leading-review-checks.json
new file mode 100644
index 0000000000..182222e08f
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/leading-review-checks.json
@@ -0,0 +1,1909 @@
+{
+  "2802": {
+    "comments": {
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+        {
+          "type": "text",
+          "text": "Action completed."
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+        "comments": [
+          {
+            "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2802#issuecomment-6203637793",
+            "body": "On your open question about followers 670/671 (no κ): under every refit of the fixed gate list, they have no lender. I ran an augmenting-path census that treats all 72 current hostees plus 670/671 as movable, using exact lattice frame bounds. The ceiling of every life's first gate is ≤ 5. Exactly 72 registers have floor ≤ 5, and every one of them already hosts. All free registers have floor ≥ 6. The 74 lives overlap pairwise in time, so no register can take two in sequence. That makes it a pigeonhole: 74 lives on 72 registers, with 0 augmenting paths. Opening a slot would need a gate-level edit. Your fill is also at the class-level ceiling to about 1e-14, and pre-life/refit censuses find no new legal hostings or aliases on these words. Checker: https://github.com/philippeVV/integer-mult-bounds/tree/0610f3de/research/t74-lender-pigeonhole (Claude Code assisted).",
+            "user": {
+              "login": "philippeVV",
+              "name": "philippeVV",
+              "email": null,
+              "avatar_url": "https://avatars.githubusercontent.com/u/25594646?v=4",
+              "id": 25594646
+            },
+            "id": 6203637793,
+            "pull_request_review_id": null,
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+            "created_at": "2026-10-15T22:32:16Z",
+            "updated_at": "2026-10-15T22:32:16Z",
+            "review": null,
+            "side": null,
+            "line": null,
+            "start_line": null,
+            "path": null,
+            "body_html": "<p dir=\"auto\">On your open question about followers 670/671 (no κ): under every refit of the fixed gate list, they have no lender. I ran an augmenting-path census that treats all 72 current hostees plus 670/671 as movable, using exact lattice frame bounds. The ceiling of every life's first gate is ≤ 5. Exactly 72 registers have floor ≤ 5, and every one of them already hosts. All free registers have floor ≥ 6. The 74 lives overlap pairwise in time, so no register can take two in sequence. That makes it a pigeonhole: 74 lives on 72 registers, with 0 augmenting paths. Opening a slot would need a gate-level edit. Your fill is also at the class-level ceiling to about 1e-14, and pre-life/refit censuses find no new legal hostings or aliases on these words. Checker: <a href=\"https://github.com/philippeVV/integer-mult-bounds/tree/0610f3de/research/t74-lender-pigeonhole\">https://github.com/philippeVV/integer-mult-bounds/tree/0610f3de/research/t74-lender-pigeonhole</a> (Claude Code assisted).</p>"
+          },
+          {
+            "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2802#issuecomment-6207082644",
+            "body": "Thank you both.\n\n**@philippeVV, followers 670/671.** Thank you, that settles the question. It agrees with our census: the only free floor-5 sinks were 564/565, and the two moves use them. Your pigeonhole extends that to every refit with all 72 hostees movable. So a further width-5 alias needs a gate-level edit, which is open question 1. The PR body now records the answer and credits your checker (`0610f3de`).\n\n**@thakrarsagar, #2847.** Thank you for the independent check. The provenance correction is right. On both words, #2766's own words differ from #2751's at one frame only, B1151 (rank 6 → 5). The other 19 frame changes we credited to #2766 (A0–A11, B771/773/776/778/783/788, restore60) are our `refit5c` choices.\n- The PR body is corrected.\n- I have not pushed to the branch, because your check pins `17b2ee6e` and several downstream claims vendor its words. The package README and `CLAIM.json` keep the old wording until the next package revision.\n\nOn your open question 2: the final frames are the #1186 toolkit's certified optimum for the borrow-word model, with gates, warps, start/final frames and widths fixed (`inputs/refit7c_43*.json`; only B1170/B1171 move, dim 6 → 5). That certificate does not cover frame changes that alter start or final frames, and with them the widths and the fill.\n\nYour questions 1 and 3 are open on our side too. Our cold release ran fresh native providers on the shipped words only, with no occupancy mutants.",
+            "user": {
+              "login": "mdumitrean",
+              "name": "mdumitrean",
+              "email": null,
+              "avatar_url": "https://avatars.githubusercontent.com/u/30511456?v=4",
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+            },
+            "id": 6207082644,
+            "pull_request_review_id": null,
+            "in_reply_to_id": null,
+            "created_at": "2026-10-16T03:03:41Z",
+            "updated_at": "2026-10-16T03:03:41Z",
+            "review": null,
+            "side": null,
+            "line": null,
+            "start_line": null,
+            "path": null,
+            "body_html": "<p dir=\"auto\">Thank you both.</p>\n<p dir=\"auto\"><strong><a class=\"user-mention notranslate\" data-hovercard-type=\"user\" data-hovercard-url=\"/users/philippeVV/hovercard\" data-octo-click=\"hovercard-link-click\" data-octo-dimensions=\"link_type:self\" href=\"https://github.com/philippeVV\">@philippeVV</a>, followers 670/671.</strong> Thank you, that settles the question. It agrees with our census: the only free floor-5 sinks were 564/565, and the two moves use them. Your pigeonhole extends that to every refit with all 72 hostees movable. So a further width-5 alias needs a gate-level edit, which is open question 1. The PR body now records the answer and credits your checker (<code class=\"notranslate\">0610f3de</code>).</p>\n<p dir=\"auto\"><strong><a class=\"user-mention notranslate\" data-hovercard-type=\"user\" data-hovercard-url=\"/users/thakrarsagar/hovercard\" data-octo-click=\"hovercard-link-click\" data-octo-dimensions=\"link_type:self\" href=\"https://github.com/thakrarsagar\">@thakrarsagar</a>, <a class=\"issue-link js-issue-link\" data-error-text=\"Failed to load title\" data-id=\"5877127010\" data-permission-text=\"Title is private\" data-url=\"https://github.com/CrocSwap/integer-mult-bounds/issues/2847\" data-hovercard-type=\"pull_request\" data-hovercard-url=\"/CrocSwap/integer-mult-bounds/pull/2847/hovercard\" href=\"https://github.com/CrocSwap/integer-mult-bounds/pull/2847\">#2847</a>.</strong> Thank you for the independent check. The provenance correction is right. On both words, <a class=\"issue-link js-issue-link\" data-error-text=\"Failed to load title\" data-id=\"5873756228\" data-permission-text=\"Title is private\" data-url=\"https://github.com/CrocSwap/integer-mult-bounds/issues/2766\" data-hovercard-type=\"pull_request\" data-hovercard-url=\"/CrocSwap/integer-mult-bounds/pull/2766/hovercard\" href=\"https://github.com/CrocSwap/integer-mult-bounds/pull/2766\">#2766</a>'s own words differ from <a class=\"issue-link js-issue-link\" data-error-text=\"Failed to load title\" data-id=\"5873165265\" data-permission-text=\"Title is private\" data-url=\"https://github.com/CrocSwap/integer-mult-bounds/issues/2751\" data-hovercard-type=\"pull_request\" data-hovercard-url=\"/CrocSwap/integer-mult-bounds/pull/2751/hovercard\" href=\"https://github.com/CrocSwap/integer-mult-bounds/pull/2751\">#2751</a>'s at one frame only, B1151 (rank 6 → 5). The other 19 frame changes we credited to <a class=\"issue-link js-issue-link\" data-error-text=\"Failed to load title\" data-id=\"5873756228\" data-permission-text=\"Title is private\" data-url=\"https://github.com/CrocSwap/integer-mult-bounds/issues/2766\" data-hovercard-type=\"pull_request\" data-hovercard-url=\"/CrocSwap/integer-mult-bounds/pull/2766/hovercard\" href=\"https://github.com/CrocSwap/integer-mult-bounds/pull/2766\">#2766</a> (A0–A11, B771/773/776/778/783/788, restore60) are our <code class=\"notranslate\">refit5c</code> choices.</p>\n<ul dir=\"auto\">\n<li>The PR body is corrected.</li>\n<li>I have not pushed to the branch, because your check pins <code class=\"notranslate\">17b2ee6e</code> and several downstream claims vendor its words. The package README and <code class=\"notranslate\">CLAIM.json</code> keep the old wording until the next package revision.</li>\n</ul>\n<p dir=\"auto\">On your open question 2: the final frames are the <a class=\"issue-link js-issue-link\" data-error-text=\"Failed to load title\" data-id=\"5836723020\" data-permission-text=\"Title is private\" data-url=\"https://github.com/CrocSwap/integer-mult-bounds/issues/1186\" data-hovercard-type=\"pull_request\" data-hovercard-url=\"/CrocSwap/integer-mult-bounds/pull/1186/hovercard\" href=\"https://github.com/CrocSwap/integer-mult-bounds/pull/1186\">#1186</a> toolkit's certified optimum for the borrow-word model, with gates, warps, start/final frames and widths fixed (<code class=\"notranslate\">inputs/refit7c_43*.json</code>; only B1170/B1171 move, dim 6 → 5). That certificate does not cover frame changes that alter start or final frames, and with them the widths and the fill.</p>\n<p dir=\"auto\">Your questions 1 and 3 are open on our side too. Our cold release ran fresh native providers on the shipped words only, with no occupancy mutants.</p>"
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diff --git a/research/shared-kernel-pair-concentration/evidence/recent-reviews.json b/research/shared-kernel-pair-concentration/evidence/recent-reviews.json
new file mode 100644
index 0000000000..7e84dd8cc1
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/recent-reviews.json
@@ -0,0 +1,81 @@
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+        "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2681#issuecomment-6198194973",
+        "body": "DONE - published local result: https://github.com/CrocSwap/integer-mult-bounds/pull/2707\n\nFinal head: efa51a6c7ffec6edd556a98deedfe9deeba65809. The complete source-bound line-normalized decoder is independently agent-reviewed and submitted, not maintainer-admitted. It implements the same credited PR2681 logical word with 336 positive rank-one children, no rank-eight children, all 224 outputs in F17, no early retention and untouched borrowed fields. Physical hosting, maps/wrappers, movement, precision and output-consumer costs remain explicit open obligations. Native CPython 3.12.7 registered primary plus four export groups and independent CPython 3.14.5 optimized primary passed; separate no-candidate-import phase/frame/kernel audit passed.\n\nUpdated 2026-10-15T17:56:08.643726+00:00. Original advance claim is preserved below.\n\n---\n\nCLAIM — local native frame lowering for this exact zero-retention decoder\n\nStatus: LOCAL-ONLY; no final result submitted. Updated 2026-10-15T17:28:36.223865+00:00; expires 2026-10-15T19:28:36.223865+00:00. Account: ywz65, with substantial OpenAI Codex assistance.\n\nSource: PR2681 at `ea96706295631be10d92ae149b63c3e24acaeabc`; current canonical main `1884c509efc004524786e9b7cfcc4aca572316d5`, priority revision 5. This responds to the failed cost comparison with a different physical frame implementation, retaining the same logical word and endpoints.\n\nBounded question: can the future-chart sweep use the common frame on axes 9..24, with a charged signed rank-one normalization at each of its 112 source/output roles, instead of upgrading every output to F25 and back? The source-exact phase screen and full symbolic prototype pass: each stage 2 map sends F17 to the common 16-axis frame times C_q using an explicitly computed affine shift; C_q^-1 enters the common frame and C_q plus the inverse map restores F17. The proposed 3823-event word has 336 positive rank-one children, no rank-eight children, 464 cover maps, 25840 real scalar primitives, 224 owned outputs, 16 peak scratch arrays and no early retention. All 224 current fields remain borrowed and untouched. These are provisional local measurements pending the independent native/source controls.\n\nDecision gate: versus PR2540 the child-moment numerator is 112−16*8^(1−a), strictly negative for 0≤a≤1/16 (8^15>7^16). This changes the child-cost decision, while the larger scalar/map/wrapper costs, physical hosting, movement, precision and output consumer remain explicit obligations; none are zero. No full supplier, optimum or kappa claim. The existing source's logical inverse, source reconstruction and scalar word retain full credit.\n\nBounded deliverable: one source-pinned transformed word, exact dynamic frame/affine-map proof, all signed rank-one native kernels and occurrences, complete arbitrary-input/dirty-restoration replay, meaningful missing/wrong normalization/shift/return controls, and full local comparison. Stop before a new family search or supplier expansion; reopen only with a pinned favorable complete consumer allowance. The picker originally selected verifier engineering; TASK will record the evidence-driven pivot from saturated acceptance-boundary audits to this concrete newly published source handoff.\n\nOverlap: complete 817-PR/1279-Discussion snapshot through 16:28/16:32 UTC plus the freshest 100 PRs and this source's exact head/comments now. PR2651 coalesces early-output banks but retains early values; PR2662 concerns P104. Full-current invertibility and this predecessor decoder are not claimed as new. This is a narrowed local-module result, not an optimization campaign.\n",
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+          "name": "ywz65",
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+        "review": null,
+        "side": null,
+        "line": null,
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+        "path": null,
+        "body_html": "<p dir=\"auto\">DONE - published local result: <a class=\"issue-link js-issue-link\" data-error-text=\"Failed to load title\" data-id=\"5871255707\" data-permission-text=\"Title is private\" data-url=\"https://github.com/CrocSwap/integer-mult-bounds/issues/2707\" data-hovercard-type=\"pull_request\" data-hovercard-url=\"/CrocSwap/integer-mult-bounds/pull/2707/hovercard\" href=\"https://github.com/CrocSwap/integer-mult-bounds/pull/2707\">#2707</a></p>\n<p dir=\"auto\">Final head: <a class=\"commit-link\" data-hovercard-type=\"commit\" data-hovercard-url=\"https://github.com/CrocSwap/integer-mult-bounds/commit/efa51a6c7ffec6edd556a98deedfe9deeba65809/hovercard\" href=\"https://github.com/CrocSwap/integer-mult-bounds/commit/efa51a6c7ffec6edd556a98deedfe9deeba65809\"><tt>efa51a6</tt></a>. The complete source-bound line-normalized decoder is independently agent-reviewed and submitted, not maintainer-admitted. It implements the same credited PR2681 logical word with 336 positive rank-one children, no rank-eight children, all 224 outputs in F17, no early retention and untouched borrowed fields. Physical hosting, maps/wrappers, movement, precision and output-consumer costs remain explicit open obligations. Native CPython 3.12.7 registered primary plus four export groups and independent CPython 3.14.5 optimized primary passed; separate no-candidate-import phase/frame/kernel audit passed.</p>\n<p dir=\"auto\">Updated 2026-10-15T17:56:08.643726+00:00. Original advance claim is preserved below.</p>\n<hr>\n<p dir=\"auto\">CLAIM — local native frame lowering for this exact zero-retention decoder</p>\n<p dir=\"auto\">Status: LOCAL-ONLY; no final result submitted. Updated 2026-10-15T17:28:36.223865+00:00; expires 2026-10-15T19:28:36.223865+00:00. Account: ywz65, with substantial OpenAI Codex assistance.</p>\n<p dir=\"auto\">Source: PR2681 at <code class=\"notranslate\">ea96706295631be10d92ae149b63c3e24acaeabc</code>; current canonical main <code class=\"notranslate\">1884c509efc004524786e9b7cfcc4aca572316d5</code>, priority revision 5. This responds to the failed cost comparison with a different physical frame implementation, retaining the same logical word and endpoints.</p>\n<p dir=\"auto\">Bounded question: can the future-chart sweep use the common frame on axes 9..24, with a charged signed rank-one normalization at each of its 112 source/output roles, instead of upgrading every output to F25 and back? The source-exact phase screen and full symbolic prototype pass: each stage 2 map sends F17 to the common 16-axis frame times C_q using an explicitly computed affine shift; C_q^-1 enters the common frame and C_q plus the inverse map restores F17. The proposed 3823-event word has 336 positive rank-one children, no rank-eight children, 464 cover maps, 25840 real scalar primitives, 224 owned outputs, 16 peak scratch arrays and no early retention. All 224 current fields remain borrowed and untouched. These are provisional local measurements pending the independent native/source controls.</p>\n<p dir=\"auto\">Decision gate: versus PR2540 the child-moment numerator is 112−16*8^(1−a), strictly negative for 0≤a≤1/16 (8^15&gt;7^16). This changes the child-cost decision, while the larger scalar/map/wrapper costs, physical hosting, movement, precision and output consumer remain explicit obligations; none are zero. No full supplier, optimum or kappa claim. The existing source's logical inverse, source reconstruction and scalar word retain full credit.</p>\n<p dir=\"auto\">Bounded deliverable: one source-pinned transformed word, exact dynamic frame/affine-map proof, all signed rank-one native kernels and occurrences, complete arbitrary-input/dirty-restoration replay, meaningful missing/wrong normalization/shift/return controls, and full local comparison. Stop before a new family search or supplier expansion; reopen only with a pinned favorable complete consumer allowance. The picker originally selected verifier engineering; TASK will record the evidence-driven pivot from saturated acceptance-boundary audits to this concrete newly published source handoff.</p>\n<p dir=\"auto\">Overlap: complete 817-PR/1279-Discussion snapshot through 16:28/16:32 UTC plus the freshest 100 PRs and this source's exact head/comments now. PR2651 coalesces early-output banks but retains early values; PR2662 concerns P104. Full-current invertibility and this predecessor decoder are not claimed as new. This is a narrowed local-module result, not an optimization campaign.</p>"
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+    ],
+    "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2681",
+    "title": "CrocSwap/integer-mult-bounds PR #2681 comments",
+    "display_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2681",
+    "display_title": "CrocSwap/integer-mult-bounds PR #2681 comments"
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+    "comments": [],
+    "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2687",
+    "title": "CrocSwap/integer-mult-bounds PR #2687 comments",
+    "display_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2687",
+    "display_title": "CrocSwap/integer-mult-bounds PR #2687 comments"
+  },
+  "2707": {
+    "comments": [],
+    "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2707",
+    "title": "CrocSwap/integer-mult-bounds PR #2707 comments",
+    "display_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2707",
+    "display_title": "CrocSwap/integer-mult-bounds PR #2707 comments"
+  },
+  "2709": {
+    "comments": [],
+    "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2709",
+    "title": "CrocSwap/integer-mult-bounds PR #2709 comments",
+    "display_url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2709",
+    "display_title": "CrocSwap/integer-mult-bounds PR #2709 comments"
+  }
+}
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/H1-boundary.json b/research/shared-kernel-pair-concentration/evidence/run-logs/H1-boundary.json
new file mode 100644
index 0000000000..b667752209
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/H1-boundary.json
@@ -0,0 +1,23 @@
+{
+  "command": [
+    "python3",
+    "-B",
+    "research/coupled-dirt-entry-20261016/quartet_boundary.py",
+    "research/gmx-t74-borrow43-handoff",
+    "--out",
+    "research/coupled-dirt-entry-20261016/QUARTET-BOUNDARY.json"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a/baseline-pr2853",
+  "started_epoch": 1792122398.4930875,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 0.0919179916381836,
+  "log_sha256": "c9a5cff37bc77befbcdbfaf04e9facd530e0073a86021aab6f26a7b0ac74833f"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/H1-census-base.json b/research/shared-kernel-pair-concentration/evidence/run-logs/H1-census-base.json
new file mode 100644
index 0000000000..6e0c563413
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/H1-census-base.json
@@ -0,0 +1,30 @@
+{
+  "command": [
+    "timeout",
+    "300",
+    "python3",
+    "-B",
+    "research/gmx-t74-borrow43-handoff/new/borrow/dirtentry4/search/dirt3.py",
+    "research/gmx-t74-borrow43-handoff/new/borrow/words/BORROW-WORD-43base.json.gz",
+    "research/gmx-t74-borrow43-handoff/new/borrow",
+    "--only",
+    "461,468,469,463,470,471,479,490,491,481,492,493",
+    "--climb",
+    "--raise",
+    "--out",
+    "/workspace/scratch/bc9e58970b2a/H1-census-base"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a/baseline-pr2853",
+  "started_epoch": 1792122229.0608888,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 0.4649975299835205,
+  "log_sha256": "161c90a15ab4d53c0d081c591117ac2c606e3edc5a283162a6aa8386a01e5f89"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/H2-exact-swaps.json b/research/shared-kernel-pair-concentration/evidence/run-logs/H2-exact-swaps.json
new file mode 100644
index 0000000000..6e0b89bea8
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/H2-exact-swaps.json
@@ -0,0 +1,29 @@
+{
+  "command": [
+    "timeout",
+    "300",
+    "python3",
+    "-B",
+    "research/coupled-dirt-entry-20261016/exact_swaps.py",
+    "research/gmx-t74-borrow43-handoff",
+    "--out",
+    "/workspace/scratch/bc9e58970b2a/H2-exact-swaps",
+    "--passes",
+    "4",
+    "--seed",
+    "20261016"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a/baseline-pr2853",
+  "started_epoch": 1792122457.2086177,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 37.99398064613342,
+  "log_sha256": "574ab94a9f1411e036f079cede4a444bde0297ecf090bc619ae40f1ce4865f94"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/baseline-release.json b/research/shared-kernel-pair-concentration/evidence/run-logs/baseline-release.json
new file mode 100644
index 0000000000..1adf76673d
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/baseline-release.json
@@ -0,0 +1,28 @@
+{
+  "command": [
+    "timeout",
+    "2100",
+    "python3",
+    "-B",
+    "research/gmx-t74-borrow43-handoff/verify_release.py",
+    "--main",
+    "/workspace/scratch/bc9e58970b2a/baseline-pr2853",
+    "--work",
+    "/workspace/scratch/bc9e58970b2a/replay-pr2853",
+    "--jobs",
+    "2"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a/baseline-pr2853",
+  "started_epoch": 1792122041.9391267,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 838.9335651397705,
+  "log_sha256": "59b1074d710920b619f140f1e548470d854e914c98c25539bf44ba109c69aa01"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-complete-release.json b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-complete-release.json
new file mode 100644
index 0000000000..7a1eff1c95
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-complete-release.json
@@ -0,0 +1,30 @@
+{
+  "command": [
+    "timeout",
+    "1200",
+    "python3",
+    "-B",
+    "candidate-supplier/verify_release.py",
+    "--main",
+    "/workspace/scratch/bc9e58970b2a/baseline-pr2853",
+    "--work",
+    "/workspace/scratch/bc9e58970b2a/candidate-complete-release",
+    "--native-cache",
+    "/workspace/scratch/bc9e58970b2a/native-cache",
+    "--jobs",
+    "2"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792122914.76886,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 520.3817446231842,
+  "log_sha256": "1b13f7b952e2d19d52d9851058d67687e038fe80eebf45f155bc5a0faa4c9b38"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-discovery.json b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-discovery.json
new file mode 100644
index 0000000000..ad65ce307b
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-discovery.json
@@ -0,0 +1,32 @@
+{
+  "command": [
+    "timeout",
+    "900",
+    "env",
+    "AUDIT_FAST_SHARDS=2",
+    "FINE_ENGINE_CACHE=/workspace/scratch/bc9e58970b2a/candidate-fine-cache",
+    "python3",
+    "-B",
+    "candidate-layout/packing74/replay.py",
+    "--data",
+    "candidate-layout/packing74/candidate",
+    "--work",
+    "/workspace/scratch/bc9e58970b2a/candidate-discovery",
+    "--discover",
+    "--local",
+    "/workspace/scratch/bc9e58970b2a/replay-pr2853/verify/native-new-base-fast/native/local"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792122703.4545505,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 101.90678310394287,
+  "log_sha256": "ad1b2468e4340bae8e270d40fecf12b8000d1c4a4650e036a56b5e00b146959e"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-endpoints-retry.json b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-endpoints-retry.json
new file mode 100644
index 0000000000..2df0f35990
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-endpoints-retry.json
@@ -0,0 +1,26 @@
+{
+  "command": [
+    "timeout",
+    "180",
+    "python3",
+    "-B",
+    "baseline-pr2853/research/gmx-t74-borrow43-handoff/new/borrow/dirtentry4/search/endpoints.py",
+    "H2-exact-swaps-profile.json",
+    "66304",
+    "23680",
+    "/workspace/scratch/bc9e58970b2a/candidate-endpoints.json"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792122616.6144333,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 0.5682568550109863,
+  "log_sha256": "7c451603ca59713cc9593c747a77985cad24ea04760628370e8afbbba8c8339b"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-endpoints.json b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-endpoints.json
new file mode 100644
index 0000000000..cb6751de97
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-endpoints.json
@@ -0,0 +1,24 @@
+{
+  "command": [
+    "python3",
+    "-B",
+    "baseline-pr2853/research/gmx-t74-borrow43-handoff/new/borrow/dirtentry4/search/endpoints.py",
+    "H2-exact-swaps-profile.json",
+    "66304",
+    "23680",
+    "/workspace/scratch/bc9e58970b2a/candidate-endpoints.json"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792122603.4165084,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 1,
+  "seconds": 0.09632730484008789,
+  "log_sha256": "93ff3c3cfa6bf233012a9515b7b31ee7337caf8643f852d5921c20ce78e454ee"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-lift.json b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-lift.json
new file mode 100644
index 0000000000..221ce29b37
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-lift.json
@@ -0,0 +1,24 @@
+{
+  "command": [
+    "python3",
+    "-B",
+    "candidate-supplier/lift_parent.py",
+    "--owners",
+    "candidate-owners",
+    "--out",
+    "candidate-lift"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792122635.0343466,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 7.384289503097534,
+  "log_sha256": "9578ab17094f120d54af46f9e0601714c09a2978faa0d7949823099d06d931d4"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-outer-generate.json b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-outer-generate.json
new file mode 100644
index 0000000000..d63a86ac1c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-outer-generate.json
@@ -0,0 +1,20 @@
+{
+  "command": [
+    "bash",
+    "-c",
+    "python3 -B candidate-supplier/outer/check_ledger.py && python3 -B candidate-supplier/outer/independent_check.py"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792122882.8709736,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 1.0725598335266113,
+  "log_sha256": "cb13c64fa13205d986dac5923b76e3ad486092655a4fcfd5692841f19db98b17"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-owners.json b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-owners.json
new file mode 100644
index 0000000000..20add75c6e
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-owners.json
@@ -0,0 +1,22 @@
+{
+  "command": [
+    "python3",
+    "-B",
+    "candidate-supplier/reconstruct.py",
+    "--out",
+    "/workspace/scratch/bc9e58970b2a/candidate-owners"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792122602.4407709,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 5.474057197570801,
+  "log_sha256": "90fc2b037c21627de1dfa5e662c28449b8b33ede0942e3c80e7f347eb44845c5"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-rebind.json b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-rebind.json
new file mode 100644
index 0000000000..565c12497c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/candidate-rebind.json
@@ -0,0 +1,24 @@
+{
+  "command": [
+    "python3",
+    "-B",
+    "candidate-supplier/new/rebind.py",
+    "candidate-supplier",
+    "replay-pr2853/verify/native-new-base-fast/native/local",
+    "replay-pr2853/verify/native-new-extra-fast/native/local",
+    "candidate-rebound"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792122668.6887023,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 0.8928301334381104,
+  "log_sha256": "345d9755f4971b4b065a419f92634d550e0280ead058fed1f4658d3c709e8cdc"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/final-main-make.json b/research/shared-kernel-pair-concentration/evidence/run-logs/final-main-make.json
new file mode 100644
index 0000000000..48525f49d8
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/final-main-make.json
@@ -0,0 +1,21 @@
+{
+  "command": [
+    "timeout",
+    "600",
+    "make",
+    "verify"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a/integer-mult-bounds",
+  "started_epoch": 1792124496.0648844,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 2,
+  "seconds": 2.981701374053955,
+  "log_sha256": "a3097b529f97cd1806a048bd9df1f885964e16f86a23ffa06f96fef1fcff82df"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/final-main-selected.json b/research/shared-kernel-pair-concentration/evidence/run-logs/final-main-selected.json
new file mode 100644
index 0000000000..88c61086cb
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/final-main-selected.json
@@ -0,0 +1,21 @@
+{
+  "command": [
+    "timeout",
+    "600",
+    "make",
+    "frontier1094-verify"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a/integer-mult-bounds",
+  "started_epoch": 1792124499.0799456,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 2,
+  "seconds": 0.6281759738922119,
+  "log_sha256": "8bf70217258feb238a4ab5fd02ca6fcdad70e247d88732922372265fee3f5260"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/final-registered-check.json b/research/shared-kernel-pair-concentration/evidence/run-logs/final-registered-check.json
new file mode 100644
index 0000000000..1dc911c1d3
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/final-registered-check.json
@@ -0,0 +1,24 @@
+{
+  "command": [
+    "timeout",
+    "240",
+    "python3",
+    "-B",
+    "scripts/research_package.py",
+    "--package",
+    "research/shared-kernel-pair-concentration"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a/integer-mult-bounds",
+  "started_epoch": 1792124499.740852,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 8.056484699249268,
+  "log_sha256": "7e30b2a071cf2f6a8d10f5729e149d7042af4fc1df164afc2541d94d9e51b6d4"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/final-release-binding.json b/research/shared-kernel-pair-concentration/evidence/run-logs/final-release-binding.json
new file mode 100644
index 0000000000..71a64d144f
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/final-release-binding.json
@@ -0,0 +1,28 @@
+{
+  "command": [
+    "timeout",
+    "60",
+    "python3",
+    "-B",
+    "integer-mult-bounds/research/shared-kernel-pair-concentration/verify_release_binding.py",
+    "--admission",
+    "pair-admission",
+    "--moment",
+    "pair-candidate/EXACT-MOMENT.json",
+    "--baseline",
+    "newer-frontier/replay-pinned/RESULT.json"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792124337.0531936,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 0.1793384552001953,
+  "log_sha256": "c28655b39d425b14c53611fdba5c93a26106331b303b2ced573fe98a7af01d18"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/independent-candidate-moment.json b/research/shared-kernel-pair-concentration/evidence/run-logs/independent-candidate-moment.json
new file mode 100644
index 0000000000..e29b19aef2
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/independent-candidate-moment.json
@@ -0,0 +1,27 @@
+{
+  "command": [
+    "timeout",
+    "300",
+    "python3",
+    "-B",
+    "baseline-pr2853/research/coupled-dirt-entry-20261016/independent_moment.py",
+    "H2-exact-swaps/RESULT.json",
+    "candidate-endpoints.json",
+    "baseline-pr2853/research/gmx-t74-borrow43-handoff/outer/OUTER-CLAIM.json",
+    "--out",
+    "baseline-pr2853/research/coupled-dirt-entry-20261016/EXACT-MOMENT.json"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792122802.8355896,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 0.6011855602264404,
+  "log_sha256": "5c10680be2b4dff8767d8522269e15f03e17b2ce19716fe0f49933a302c3299b"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/independent-owners.json b/research/shared-kernel-pair-concentration/evidence/run-logs/independent-owners.json
new file mode 100644
index 0000000000..9cd22d9093
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/independent-owners.json
@@ -0,0 +1,27 @@
+{
+  "command": [
+    "timeout",
+    "180",
+    "python3",
+    "-B",
+    "baseline-pr2853/research/coupled-dirt-entry-20261016/certify_swaps.py",
+    "baseline-pr2853/research/gmx-t74-borrow43-handoff",
+    "H2-exact-swaps/RESULT.json",
+    "H2-exact-swaps/FILL.json.gz",
+    "--out",
+    "baseline-pr2853/research/coupled-dirt-entry-20261016/INDEPENDENT-OWNERS.json"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792123015.890989,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 5.258257865905762,
+  "log_sha256": "914d1f1a4e2db6c38e1c0ea1493576f0a2fa4c7514caaa4e9936b024616cd1c8"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/main-required.json b/research/shared-kernel-pair-concentration/evidence/run-logs/main-required.json
new file mode 100644
index 0000000000..3f4711549b
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/main-required.json
@@ -0,0 +1,22 @@
+{
+  "command": [
+    "timeout",
+    "2400",
+    "bash",
+    "-c",
+    "make verify && make frontier1094-verify"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a/integer-mult-bounds",
+  "started_epoch": 1792122058.3164713,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 2,
+  "seconds": 3.1064226627349854,
+  "log_sha256": "c6c585138bef25a06a826a3d5dd51e12672cdbad683eee11f7d7fcfaf0755e81"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/newest-baseline-release.json b/research/shared-kernel-pair-concentration/evidence/run-logs/newest-baseline-release.json
new file mode 100644
index 0000000000..d55f927e6a
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/newest-baseline-release.json
@@ -0,0 +1,44 @@
+{
+  "command": [
+    "timeout",
+    "1200",
+    "python3",
+    "-B",
+    "newer-frontier/research/shared-kernel-repacking/reproduce.py",
+    "--source",
+    "newer-frontier/pr2833",
+    "--words",
+    "newer-frontier/research/shared-kernel-repacking/words",
+    "--fill",
+    "newer-frontier/research/shared-kernel-repacking/FILL.json.gz",
+    "--order",
+    "newer-frontier/research/shared-kernel-repacking/ORDER.json",
+    "--dispatch",
+    "newer-frontier/research/shared-kernel-repacking/DISPATCH.json",
+    "--retained-cache",
+    "newer-frontier/retained-cache",
+    "--retained-receipt",
+    "newer-frontier/research/shared-kernel-repacking/evidence/retained/NATIVE-RECEIPT.json",
+    "--comparison-claim",
+    "newer-frontier/research/shared-kernel-repacking/sources/PR2848-CLAIM.json",
+    "--comparison-latest-claim",
+    "newer-frontier/research/shared-kernel-repacking/sources/PR2853-OUTER-CLAIM.json",
+    "--work",
+    "newer-frontier/replay",
+    "--jobs",
+    "2"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792123408.5026364,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 498.73404240608215,
+  "log_sha256": "f35529049500e74883d120dab90c0db4bcf7f1070ff0512756c67b3defd1a2b1"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/newest-pinned-release.json b/research/shared-kernel-pair-concentration/evidence/run-logs/newest-pinned-release.json
new file mode 100644
index 0000000000..91e7cbeed9
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/newest-pinned-release.json
@@ -0,0 +1,44 @@
+{
+  "command": [
+    "timeout",
+    "1200",
+    "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+    "-B",
+    "newer-frontier/research/shared-kernel-repacking/reproduce.py",
+    "--source",
+    "newer-frontier/pr2833",
+    "--words",
+    "newer-frontier/research/shared-kernel-repacking/words",
+    "--fill",
+    "newer-frontier/research/shared-kernel-repacking/FILL.json.gz",
+    "--order",
+    "newer-frontier/research/shared-kernel-repacking/ORDER.json",
+    "--dispatch",
+    "newer-frontier/research/shared-kernel-repacking/DISPATCH.json",
+    "--retained-cache",
+    "newer-frontier/retained-cache",
+    "--retained-receipt",
+    "newer-frontier/research/shared-kernel-repacking/evidence/retained/NATIVE-RECEIPT.json",
+    "--comparison-claim",
+    "newer-frontier/research/shared-kernel-repacking/sources/PR2848-CLAIM.json",
+    "--comparison-latest-claim",
+    "newer-frontier/research/shared-kernel-repacking/sources/PR2853-OUTER-CLAIM.json",
+    "--work",
+    "newer-frontier/replay-pinned",
+    "--jobs",
+    "2"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792123574.3367965,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 499.1480746269226,
+  "log_sha256": "f35529049500e74883d120dab90c0db4bcf7f1070ff0512756c67b3defd1a2b1"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/newest-swap-census.json b/research/shared-kernel-pair-concentration/evidence/run-logs/newest-swap-census.json
new file mode 100644
index 0000000000..b880863284
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/newest-swap-census.json
@@ -0,0 +1,25 @@
+{
+  "command": [
+    "timeout",
+    "180",
+    "python3",
+    "-B",
+    "integer-mult-bounds/research/two-swap-pr2853-20261016/newest_swaps.py",
+    "newer-frontier/research/shared-kernel-repacking",
+    "--out",
+    "newest-swap-census"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792123555.808909,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 12.554316759109497,
+  "log_sha256": "606e3a15841da99411de4b93dde5e14ffde439b6042e8d04bb0a8213aa3d1dc2"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/packaged-independent.json b/research/shared-kernel-pair-concentration/evidence/run-logs/packaged-independent.json
new file mode 100644
index 0000000000..4f766c750f
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/packaged-independent.json
@@ -0,0 +1,24 @@
+{
+  "command": [
+    "timeout",
+    "300",
+    "python3",
+    "-B",
+    "integer-mult-bounds/research/two-swap-pr2853-20261016/verify.py",
+    "--work",
+    "packaged-check"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792123548.6306908,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 7.124640703201294,
+  "log_sha256": "2a88f3cce14fe4308e5b058ab8c573eb8a1069744e5e525c981e393d2bd817a7"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/pair-complete-admission.json b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-complete-admission.json
new file mode 100644
index 0000000000..9de11c50fb
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-complete-admission.json
@@ -0,0 +1,50 @@
+{
+  "command": [
+    "timeout",
+    "1200",
+    "/workspace/scratch/bc9e58970b2a/.venv2857/bin/python",
+    "-B",
+    "newer-frontier/research/shared-kernel-repacking/admit_shared_replica.py",
+    "--source",
+    "newer-frontier/replay-pinned/source",
+    "--fill",
+    "pair-candidate/FILL.json.gz",
+    "--order",
+    "pair-candidate/ORDER.json",
+    "--dispatch",
+    "pair-candidate/DISPATCH.json",
+    "--native-cache",
+    "newer-frontier/replay-pinned/native/native-cache",
+    "--native-receipt",
+    "newer-frontier/replay-pinned/native/NATIVE-RECEIPT.json",
+    "--work",
+    "pair-admission",
+    "--replica-helper-dir",
+    "newer-frontier/research/shared-kernel-repacking/vendor/pr2839",
+    "--reconstructor",
+    "newer-frontier/research/shared-kernel-repacking/vendor/pr2839/reconstruct_replica.py",
+    "--comparison-claim",
+    "newer-frontier/research/shared-kernel-repacking/sources/PR2848-CLAIM.json",
+    "--blocknorm-checker",
+    "newer-frontier/research/shared-kernel-repacking/vendor/pr2839/blocknorm_certificate.py",
+    "--source-profile",
+    "shared-four",
+    "--comparison-profile",
+    "pr2848",
+    "--jobs",
+    "2"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792123784.1119745,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 493.89127135276794,
+  "log_sha256": "664b45cc1a30a95a6ea82c17f40d059cc092810ff24a350877dea710eb13968f"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/pair-generate.json b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-generate.json
new file mode 100644
index 0000000000..4a63b48472
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-generate.json
@@ -0,0 +1,24 @@
+{
+  "command": [
+    "timeout",
+    "60",
+    "python3",
+    "-B",
+    "integer-mult-bounds/research/shared-kernel-pair-concentration/generate.py",
+    "newer-frontier/research/shared-kernel-repacking",
+    "pair-candidate"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792123721.190626,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 1.2693231105804443,
+  "log_sha256": "7f5b57df41efa624d2da561e05c5fd527088ddb1f9abfdaa255bd821e57584de"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/pair-independent-moment-retry.json b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-independent-moment-retry.json
new file mode 100644
index 0000000000..93157f92d7
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-independent-moment-retry.json
@@ -0,0 +1,26 @@
+{
+  "command": [
+    "timeout",
+    "120",
+    "python3",
+    "-B",
+    "integer-mult-bounds/research/shared-kernel-pair-concentration/exact_moment.py",
+    "pair-candidate",
+    "newer-frontier/research/shared-kernel-repacking",
+    "--out",
+    "pair-candidate/EXACT-MOMENT.json"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792123875.7058353,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 0.1491239070892334,
+  "log_sha256": "b88f54c4d55e9af06728a317b3a01c84624d75fc39967c5f9fa047bb70ed100c"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/pair-independent-moment.json b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-independent-moment.json
new file mode 100644
index 0000000000..9adc18b0d0
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-independent-moment.json
@@ -0,0 +1,26 @@
+{
+  "command": [
+    "timeout",
+    "120",
+    "python3",
+    "-B",
+    "integer-mult-bounds/research/shared-kernel-pair-concentration/exact_moment.py",
+    "pair-candidate",
+    "newer-frontier/research/shared-kernel-repacking",
+    "--out",
+    "pair-candidate/EXACT-MOMENT.json"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792123847.970895,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 1,
+  "seconds": 0.06633710861206055,
+  "log_sha256": "dc3f77bbef0ee1586a252eecf2f9df2e66b0e4f0e07bea1c719d949e7afde8c3"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/pair-independent-owners-retry.json b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-independent-owners-retry.json
new file mode 100644
index 0000000000..9e78ccb784
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-independent-owners-retry.json
@@ -0,0 +1,26 @@
+{
+  "command": [
+    "timeout",
+    "180",
+    "python3",
+    "-B",
+    "integer-mult-bounds/research/shared-kernel-pair-concentration/independent.py",
+    "newer-frontier/research/shared-kernel-repacking",
+    "pair-candidate",
+    "--out",
+    "pair-candidate/INDEPENDENT-OWNERS.json"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792123833.6019585,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 14.326751470565796,
+  "log_sha256": "21497d7d0680b88baac13d0bdd99ca1ef7ebae56573e28abd5a8aeb16a36818d"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/pair-independent-owners.json b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-independent-owners.json
new file mode 100644
index 0000000000..bd58ef85b1
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-independent-owners.json
@@ -0,0 +1,26 @@
+{
+  "command": [
+    "timeout",
+    "180",
+    "python3",
+    "-B",
+    "integer-mult-bounds/research/shared-kernel-pair-concentration/independent.py",
+    "newer-frontier/research/shared-kernel-repacking",
+    "pair-candidate",
+    "--out",
+    "pair-candidate/INDEPENDENT-OWNERS.json"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792123785.4139676,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 1,
+  "seconds": 0.333728551864624,
+  "log_sha256": "3c352e0838978a218d9c76812fae6a916512a3e6f6f56d3a58fd9f2ade49a9ac"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/pair-portable-bounded.json b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-portable-bounded.json
new file mode 100644
index 0000000000..ab703c795f
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/pair-portable-bounded.json
@@ -0,0 +1,22 @@
+{
+  "command": [
+    "timeout",
+    "180",
+    "python3",
+    "-B",
+    "integer-mult-bounds/research/shared-kernel-pair-concentration/verify.py"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a",
+  "started_epoch": 1792124162.9918125,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 8.91420865058899,
+  "log_sha256": "2c46ea0620e9e9e8f9ad8362979748b5fa13449e3c647fa910b292e3d4b1f592"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/refreshed-make-verify.json b/research/shared-kernel-pair-concentration/evidence/run-logs/refreshed-make-verify.json
new file mode 100644
index 0000000000..ef0159883c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/refreshed-make-verify.json
@@ -0,0 +1,21 @@
+{
+  "command": [
+    "timeout",
+    "600",
+    "make",
+    "verify"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a/integer-mult-bounds",
+  "started_epoch": 1792123575.6161532,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 2,
+  "seconds": 4.535104274749756,
+  "log_sha256": "0ffa3379a6cae9d5f99247dd21cc6e625742d966d823aecadb685807a0fd995c"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/refreshed-selected.json b/research/shared-kernel-pair-concentration/evidence/run-logs/refreshed-selected.json
new file mode 100644
index 0000000000..c39a776b6c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/refreshed-selected.json
@@ -0,0 +1,21 @@
+{
+  "command": [
+    "timeout",
+    "600",
+    "make",
+    "frontier1094-verify"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a/integer-mult-bounds",
+  "started_epoch": 1792123580.203641,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 2,
+  "seconds": 1.1827921867370605,
+  "log_sha256": "dcba4b52bed7024ee26a8915ca18944597071a1d5ad939e8b9461f17f6aa4c86"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/registered-pair-check.json b/research/shared-kernel-pair-concentration/evidence/run-logs/registered-pair-check.json
new file mode 100644
index 0000000000..33fae2966a
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/registered-pair-check.json
@@ -0,0 +1,24 @@
+{
+  "command": [
+    "timeout",
+    "240",
+    "python3",
+    "-B",
+    "scripts/research_package.py",
+    "--package",
+    "research/shared-kernel-pair-concentration"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a/integer-mult-bounds",
+  "started_epoch": 1792124277.487651,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 0,
+  "seconds": 8.506113767623901,
+  "log_sha256": "f07efe2237f669555f318a2a6b931a2d9e72b0691a82ac835d05340daf61b768"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/requirements-lock.txt b/research/shared-kernel-pair-concentration/evidence/run-logs/requirements-lock.txt
new file mode 100644
index 0000000000..f5b9b48b9a
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/requirements-lock.txt
@@ -0,0 +1,6 @@
+gmpy2==2.3.2
+mpmath==1.3.0
+numpy==2.5.4
+psutil==7.2.2
+scipy==1.18.1
+sympy==1.14.0
diff --git a/research/shared-kernel-pair-concentration/evidence/run-logs/selected-cold.json b/research/shared-kernel-pair-concentration/evidence/run-logs/selected-cold.json
new file mode 100644
index 0000000000..1ac417cb14
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/run-logs/selected-cold.json
@@ -0,0 +1,21 @@
+{
+  "command": [
+    "timeout",
+    "2100",
+    "make",
+    "frontier1094-verify"
+  ],
+  "cwd": "/workspace/scratch/bc9e58970b2a/integer-mult-bounds",
+  "started_epoch": 1792122159.3860142,
+  "environment": {
+    "PATH": "/workspace/scratch/bc9e58970b2a/.venv/bin:/root/.codex/tmp/arg0/codex-arg0XhGjPO:/opt/codex/codex-path:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/override:/opt/codex/runtimes/codex-primary-runtime/dependencies/python/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/node/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/opt/codex/runtimes/codex-primary-runtime/dependencies/bin/fallback",
+    "PYTHONDONTWRITEBYTECODE": "1",
+    "OMP_NUM_THREADS": "1",
+    "OPENBLAS_NUM_THREADS": "1",
+    "TMPDIR": "/workspace/scratch/bc9e58970b2a/run-tmp",
+    "PYTHONINTMAXSTRDIGITS": "0"
+  },
+  "exit_code": 2,
+  "seconds": 0.7068960666656494,
+  "log_sha256": "d1574294faf0be255ccf8803047a6aaab3978a8e4af216c647d2999960c89da7"
+}
\ No newline at end of file
diff --git a/research/shared-kernel-pair-concentration/evidence/superseded-two-swap-release.json b/research/shared-kernel-pair-concentration/evidence/superseded-two-swap-release.json
new file mode 100644
index 0000000000..a0adbfa1a9
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/evidence/superseded-two-swap-release.json
@@ -0,0 +1,7 @@
+{
+  "status": "PASS_RELEASE",
+  "kappa_decimal": "0.0017193777362689861639711982065946965063211420953693804967340644511403357575297019072700578732866789291942771307638756204164826916198824422924608013702867384189900640228289198115039943559313554881741340267686086924885286761444124232536593248096762760764828060903757833470793905600316445047524111613399692417092561534353652493002739638111595620139647857917049637950717869433443580781525904932832526073831565015190802444811912222723326676786745003184507711582355687559344252476857234957071599817756969261895081638494263143718189199205400436830596718195653433971562974434419597195060401334670630979182189674893206760063053605975088411267841973395949058370315375216442800213626726150132112654192656488735348354442417128496877397682409496835616527660111207265993346347450464746817757402866260079105289482121876404327664485391794812521592401436128849397710795705346363061044343797642514638730945729961920615378368407100467499364230260345933678350265673593440260768241629360327411589740393997288621386586010383012566519026011171838694665665911064873609788657565893292342549247333451144395573268280295537541011524173607842893650131527140577419426039920673144639105065346866521313555509488085388979857372363645773626652958182849317883481482484580816462152217876477189974562607779251481311916770294085233676367929867902312071315907518569758563346477887424789412464508502703658301367764873244393412865254204481958819853089814751503348874406752585244302728762877281899215399180809219235651005883967181616898372549915008780437144442211332947921387479134581569001908194767914571095169960515280902628783215029000500046539223131305646531281416482925109715441713720726674686076308770039494883646356760816323414509282775497108910264035236160788195276371090229755455887284732526536338874207389672767143143648298273745587978206139439355607754514144305686513502495056353824328782581667887621115478065499911392215164147820446016777531907123244953111184476222819165556443940724162813945461625087990990577716975438977958247177602440798844970764785548140108047747885449268931777079214348106068399795725332722583588873893931211916417557291841389499231626688288639114565724825942799537743923702884033817323146199180941534380209949563355733575360812659800368807657779535320506507002007856828343857927624335787477428730548466214800948813327092197519928627304963052409483706595013948085266282808089382648144286719867501186577516520261483615060680305380676115046682810966255346960471888291133422790919604073086010498289685950689954018034840361616202078712392247022759317541975100170268667183126748716487116014520394086450242464992533048308107692932247538957445294670500536478451269689031297932589289650384552022154880661804374560977403405818967285903556721076359586814400340390321281788991217420706621068611660033194259029762947958105934083026188056815321095857131721952014632803640181298131250097019417732518413743739921074269129602007208069594267628535371769751911522743629960647425860763316593741319821732422899804017605258399119999999999999999999998999999999999999999999999",
+  "manifest_sha256": "b54478cd4dd566235062f1ef7747c337d481153b7141595cc56f10a6d2788d2a",
+  "proof": "Supplier: the package's own unchanged `verify.py` (retained PR1297 provider and parent admission, owner reconstruction, parent lift, strict T74 admission, geometry controls): `PASS_T74_EXACT_FILL_COMPLETE_FINITE_ADMISSION`, native reuse {'base': 'e8e6e78ff7422275c38324499e1f33fb2ecd30de9503aef2b8f1ee80d8c4df8e', 'extra': '7b0e9fbda32749aabc7e156d9fe09bceb0624a178628fe69e5dfea783462f905'}; its complex endpoint 214922217033623270496399775824... brackets the ledger's b = 171937773626898616397119820659469650632114209536938049673406445114033575752970190727005787328667892919427713076387562041648269161988244229246080137028673841899006402282891981150399435593135548817413402676860869248852867614441242325365932480967627607648280609037578334707939056003164450475241116133996924170925615343536524930027396381115956201396478579170496379507178694334435807815259049328325260738315650151908024448119122227233266767867450031845077115823556875593442524768572349570715998177569692618950816384942631437181891992054004368305967181956534339715629744344195971950604013346706309791821896748932067600630536059750884112678419733959490583703153752164428002136267261501321126541926564887353483544424171284968773976824094968356165276601112072659933463474504647468177574028662600791052894821218764043276644853917948125215924014361288493977107957053463630610443437976425146387309457299619206153783684071004674993642302603459336783502656735934402607682416293603274115897403939972886213865860103830125665190260111718386946656659110648736097886575658932923425492473334511443955732682802955375410115241736078428936501315271405774194260399206731446391050653468665213135555094880853889798573723636457736266529581828493178834814824845808164621522178764771899745626077792514813119167702940852336763679298679023120713159075185697585633464778874247894124645085027036583013677648732443934128652542044819588198530898147515033488744067525852443027287628772818992153991808092192356510058839671816168983725499150087804371444422113329479213874791345815690019081947679145710951699605152809026287832150290005000465392231313056465312814164829251097154417137207266746860763087700394948836463567608163234145092827754971089102640352361607881952763710902297554558872847325265363388742073896727671431436482982737455879782061394393556077545141443056865135024950563538243287825816678876211154780654999113922151641478204460167775319071232449531111844762228191655564439407241628139454616250879909905777169754389779582471776024407988449707647855481401080477478854492689317770792143481060683997957253327225835888738939312119164175572918413894992316266882886391145657248259427995377439237028840338173231461991809415343802099495633557335753608126598003688076577795353205065070020078568283438579276243357874774287305484662148009488133270921975199286273049630524094837065950139480852662828080893826481442867198675011865775165202614836150606803053806761150466828109662553469604718882911334227909196040730860104982896859506899540180348403616162020787123922470227593175419751001702686671831267487164871160145203940864502424649925330483081076929322475389574452946705005364784512696890312979325892896503845520221548806618043745609774034058189672859035567210763595868144003403903212817889912174207066210686116600331942590297629479581059340830261880568153210958571317219520146328036401812981312500970194177325184137437399210742691296020072080695942676285353717697519115227436299606474258607633165937413198217324228998040176052583991199999999999999999999999999999999999999999999999999999999999999999999999999999999/100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000. Outer (PR1673 capped phase-cell fusion): regenerated exact ledger (63 strict inequalities: the 62 retained rows plus the explicit main-binding row gaussian_above_main, the fixed-grid maximum kappa = C - 1/F - B asserted, 17 rejecting controls incl. the old g-factor union row, the old linear and old-theta chirp guards, the old 2*beta tag test, epsilon at 1 or at the r0 slack and beta outside its window, larger endpoint rejected by the native moment), independent balance derivation, the exact union-schedule simulation, the (retained, not used for kappa) structured-boundary displacement-rank check, the gauge-free identity/symbol/circuit checks, PR1786's finite prime/underflow controls and 19 exact evidence replays all pass. Conditional kappa 0.0017193777362689861639711982065946965063211420953693804967340644511403357575297019072700578732866789291942771307638756204164826916198824422924608013702867384189900640228289198115039943559313554881741340267686086924885286761444124232536593248096762760764828060903757833470793905600316445047524111613399692417092561534353652493002739638111595620139647857917049637950717869433443580781525904932832526073831565015190802444811912222723326676786745003184507711582355687559344252476857234957071599817756969261895081638494263143718189199205400436830596718195653433971562974434419597195060401334670630979182189674893206760063053605975088411267841973395949058370315375216442800213626726150132112654192656488735348354442417128496877397682409496835616527660111207265993346347450464746817757402866260079105289482121876404327664485391794812521592401436128849397710795705346363061044343797642514638730945729961920615378368407100467499364230260345933678350265673593440260768241629360327411589740393997288621386586010383012566519026011171838694665665911064873609788657565893292342549247333451144395573268280295537541011524173607842893650131527140577419426039920673144639105065346866521313555509488085388979857372363645773626652958182849317883481482484580816462152217876477189974562607779251481311916770294085233676367929867902312071315907518569758563346477887424789412464508502703658301367764873244393412865254204481958819853089814751503348874406752585244302728762877281899215399180809219235651005883967181616898372549915008780437144442211332947921387479134581569001908194767914571095169960515280902628783215029000500046539223131305646531281416482925109715441713720726674686076308770039494883646356760816323414509282775497108910264035236160788195276371090229755455887284732526536338874207389672767143143648298273745587978206139439355607754514144305686513502495056353824328782581667887621115478065499911392215164147820446016777531907123244953111184476222819165556443940724162813945461625087990990577716975438977958247177602440798844970764785548140108047747885449268931777079214348106068399795725332722583588873893931211916417557291841389499231626688288639114565724825942799537743923702884033817323146199180941534380209949563355733575360812659800368807657779535320506507002007856828343857927624335787477428730548466214800948813327092197519928627304963052409483706595013948085266282808089382648144286719867501186577516520261483615060680305380676115046682810966255346960471888291133422790919604073086010498289685950689954018034840361616202078712392247022759317541975100170268667183126748716487116014520394086450242464992533048308107692932247538957445294670500536478451269689031297932589289650384552022154880661804374560977403405818967285903556721076359586814400340390321281788991217420706621068611660033194259029762947958105934083026188056815321095857131721952014632803640181298131250097019417732518413743739921074269129602007208069594267628535371769751911522743629960647425860763316593741319821732422899804017605258399119999999999999999999998999999999999999999999999 (union schedule outer/UNION-SCHEDULE.md; explicit Strassen boundary tau=45/16 (the structured boundary of outer/STRUCTURED-BOUNDARY.md is not used); gauge-free interiors outer/GAUGEFREE-INTERIORS.md; fine source-prime padding PR1786 at the free point epsilon=1-(1025/1024)e-3080, outer/FINE-PADDING-COMPOSITION.md; fixed-grid maximum of PR2180/PR2161 (dataisfire), outer/PROOF-GRID-MAX.md; exact-integer coarse exponential PR2168/PR2184 (dataisfire) at the one 3000-digit rejection call).",
+  "seconds": 520.34
+}
diff --git a/research/shared-kernel-pair-concentration/exact_moment.py b/research/shared-kernel-pair-concentration/exact_moment.py
new file mode 100644
index 0000000000..e20d8b82f9
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/exact_moment.py
@@ -0,0 +1,86 @@
+#!/usr/bin/env python3
+"""Directed integer log/exp enclosure, independently implemented for this run.
+
+No imported supplier or moment code. The geometric atanh remainder and the
+positive exponential remainder are bounded explicitly. Floats are not used.
+OpenAI Codex-assisted work. Apache-2.0.
+"""
+import argparse, hashlib, json, sys
+from decimal import Decimal, localcontext
+from fractions import Fraction
+from pathlib import Path
+try:
+    from gmpy2 import mpz as Z
+except ImportError:
+    Z=int
+sys.set_int_max_str_digits(0)
+
+def ceildiv(a,b):return (a+b-1)//b
+
+class Bounds:
+    def __init__(self,digits):
+        self.S=Z(10)**(digits+60)
+        self.ln2=self.unitlog(Fraction(2))
+        self.cache={}
+    def unitlog(self,x):
+        assert 1<=x<=2
+        z=(x-1)/(x+1);p=Z(z.numerator);q=Z(z.denominator)
+        if not p:return (Z(0),Z(0))
+        lo=self.S*p//q;hi=ceildiv(self.S*p,q)
+        sl=sh=Z(0);j=0
+        while True:
+            sl+=lo//(2*j+1);sh+=ceildiv(hi,2*j+1)
+            lo=lo*p*p//(q*q);hi=ceildiv(hi*p*p,q*q);j+=1
+            if hi<=2:break
+        # Next power is z^(2j+1); all following denominators >=2j+1.
+        tail=ceildiv(2*hi*q*q,(2*j+1)*(q*q-p*p))
+        return 2*sl,2*sh+tail
+    def log(self,x):
+        if x in self.cache:return self.cache[x]
+        y=x;k=0
+        while y>=2:y/=2;k+=1
+        lo,hi=self.unitlog(y)
+        ans=(lo+k*self.ln2[0],hi+k*self.ln2[1]);self.cache[x]=ans
+        return ans
+    def exp(self,xlo,xhi):
+        assert 0<=xlo<=xhi and 100*xhi<self.S
+        lo=hi=sl=sh=self.S;j=0
+        while True:
+            j+=1
+            lo=lo*xlo//(self.S*j);hi=ceildiv(hi*xhi,self.S*j)
+            sl+=lo;sh+=hi
+            if hi<=2:break
+        # Subsequent term ratio is at most xhi/(S*(j+1)).
+        tail=ceildiv(hi*xhi,self.S*(j+1)-xhi)
+        return sl,sh+tail
+    def moment(self,H,a):
+        low=high=Z(0);num=Z(a.numerator);den=Z(a.denominator)
+        for r,n in sorted(H.items()):
+            l,h=self.log(Fraction(73,r))
+            el,eh=self.exp(l*num//den,ceildiv(h*num,den))
+            low+=el*(r*n)//(73*66304)
+            high+=ceildiv(eh*(r*n),73*66304)
+        return low,high
+
+def main():
+ import sys
+ if sys.flags.optimize:raise SystemExit("assertions must be enabled")
+ p=argparse.ArgumentParser();p.add_argument('candidate',type=Path);p.add_argument('baseline',type=Path);p.add_argument('--out',type=Path,required=True);a=p.parse_args()
+ H={int(r):n for r,n in json.loads((a.candidate/'PROFILE.json').read_text()).items()};baseclaim=json.loads((a.baseline/'CLAIM.json').read_text());base=Fraction(baseclaim['kappa']);old={int(r):2*n for r,n in json.loads((a.baseline/'PROFILE.json').read_text()).items()}
+ b=Bounds(100);scale=10**30;lo=0;hi=scale//500
+ assert b.moment(H,Fraction(lo,scale))[1]<b.S<b.moment(H,Fraction(hi,scale))[0]
+ while hi-lo>1:
+  mid=(lo+hi)//2;l,h=b.moment(H,Fraction(mid,scale))
+  if h<b.S:lo=mid
+  elif l>b.S:hi=mid
+  else:raise ValueError('insufficient precision')
+ # The inherited full admission computes a 24-place complex lower bound.
+ C=Fraction(lo//10**6,10**24);k=C-Fraction(1,10**46)-Fraction(1,10**70)
+ need=lambda v: v or (_ for _ in ()).throw(ValueError('moment inequality'))
+ need(b.moment(H,C)[1]<b.S);need(b.moment(H,C+Fraction(1,10**24))[0]>b.S);need(b.moment(old,C)[0]>b.S);need(k>base)
+ with localcontext() as ctx:
+  ctx.prec=90
+  dec=lambda q:str(Decimal(q.numerator)/Decimal(q.denominator))
+  result={'status':'PASS_INDEPENDENT_EXACT_PAIR_MOMENT','complex_lower':str(C),'root_bracket_30':[str(Fraction(lo,scale)),str(Fraction(hi,scale))],'kappa_rational':str(k),'kappa_decimal_90':dec(k),'baseline_rational':str(base),'gain_rational':str(k-base),'gain_decimal_90':dec(k-base),'controls':{'old_doubled_profile_rejected_at_candidate_endpoint':True,'next_endpoint_grid_point_rejected':True},'profile':H,'scope':'Directed integer atanh and exp enclosures; no floating point. Complete hosting and outer release required separately.'}
+ a.out.write_text(json.dumps(result,indent=2)+'\n');print(result['status'],result['kappa_decimal_90'],'gain',result['gain_decimal_90'])
+if __name__=='__main__':main()
diff --git a/research/shared-kernel-pair-concentration/experiments/EXACT-MOMENT.json b/research/shared-kernel-pair-concentration/experiments/EXACT-MOMENT.json
new file mode 100644
index 0000000000..0b754a623a
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/experiments/EXACT-MOMENT.json
@@ -0,0 +1,27 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_MOMENT",
+  "kappa_rational": 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+    "H2-exact-swaps/RESULT.json": "c1d8914a10008d1d2f99aed4abb7b930c0705b853c6fbb9d1b1f329ef86b83f7",
+    "candidate-endpoints.json": "b157268da6a1f89f2833d2dfb273c0d0dd90490a415403763bd3237f16596cbf",
+    "baseline-pr2853/research/gmx-t74-borrow43-handoff/outer/OUTER-CLAIM.json": "eb3260be191774b931cff6e562978a2af27bbc6ff666ca8c1d387a2b18dc86fa"
+  },
+  "scope": "Exact moment and outer-grid arithmetic, not physical or asymptotic supplier admission."
+}
diff --git a/research/shared-kernel-pair-concentration/experiments/INDEPENDENT-OWNERS.json b/research/shared-kernel-pair-concentration/experiments/INDEPENDENT-OWNERS.json
new file mode 100644
index 0000000000..6dfdef041a
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/experiments/INDEPENDENT-OWNERS.json
@@ -0,0 +1,68 @@
+{
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+  "roles": 271728,
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+  "helpers_per_call": 408,
+  "profile_delta": {
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+    "4": -1,
+    "6": -1,
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+    "3": 183208,
+    "4": 85248,
+    "5": 26625,
+    "6": 57,
+    "7": 4,
+    "8": 5328,
+    "32": 47,
+    "48": 26703
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+    "5": 9309,
+    "6": 57,
+    "7": 4,
+    "32": 47,
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+      "reason": "complete role count"
+    },
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+      "reason": "bin capacity"
+    },
+    {
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+      "reason": "indices"
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+    {
+      "name": "duplicate_helper",
+      "reason": "duplicate helper"
+    },
+    {
+      "name": "duplicate_family",
+      "reason": "duplicate family"
+    },
+    {
+      "name": "bad_time",
+      "reason": "indices"
+    }
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new file mode 100644
index 0000000000..51c344c9fb
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/experiments/NEWEST-SAME-CALL-CENSUS.json
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new file mode 100644
index 0000000000..e8c7bb9d42
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diff --git a/research/shared-kernel-pair-concentration/experiments/SWAP-SEARCH.json b/research/shared-kernel-pair-concentration/experiments/SWAP-SEARCH.json
new file mode 100644
index 0000000000..45c514d209
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/experiments/SWAP-SEARCH.json
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diff --git a/research/shared-kernel-pair-concentration/experiments/TASK-local.json b/research/shared-kernel-pair-concentration/experiments/TASK-local.json
new file mode 100644
index 0000000000..34f41be7b1
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/experiments/TASK-local.json
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+      "gain": "additional width/rank savings if full map and frames survive",
+      "cost": "bounded local exact algebra first; global admission only after pass",
+      "rank": 1
+    },
+    {
+      "id": "H2",
+      "question": "Can the new width inventory support a cheaper owner fill by same-call exchanges?",
+      "gain": "bounded packing remainder saving",
+      "cost": "moderate owner replay",
+      "rank": 2
+    },
+    {
+      "id": "H3",
+      "question": "Can T248 residue exchange be re-derived for the changed PR2853 inventory?",
+      "gain": "small (order 1e-9), cannot add old PR gain",
+      "cost": "new allocation and norm/precision contract; expensive",
+      "rank": 3
+    }
+  ],
+  "scope": "Changed: coupled dirt-entry within four quartets, not a repetition of the one-helper census. No new kappa claim.",
+  "budget": "one session about 60 minutes under AGENTS default, no paid external compute, max two native audit shards; 8GB container RAM",
+  "assistance": "OpenAI Codex",
+  "upstream_preserved": true
+}
diff --git a/research/shared-kernel-pair-concentration/experiments/exact_swaps.py b/research/shared-kernel-pair-concentration/experiments/exact_swaps.py
new file mode 100644
index 0000000000..8e2dfcb49c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/experiments/exact_swaps.py
@@ -0,0 +1,57 @@
+#!/usr/bin/env python3
+"""All-width same-call swaps using exact concavity dominance, seed fixed.
+
+Reuses the source-bound window/inventory reader and literal fill checker from
+Philippe Van Velzen/Jeremy Kothe's credited package. Unlike swapfill.py this
+screens every pair of distinct widths and uses no floating-point comparison.
+OpenAI Codex assistance. Apache-2.0.
+"""
+import argparse, collections, gzip, json, os, random, sys
+from pathlib import Path
+
+def main():
+    ap=argparse.ArgumentParser();ap.add_argument('package',type=Path);ap.add_argument('--out',type=Path,required=True);ap.add_argument('--passes',type=int,default=4);ap.add_argument('--seed',type=int,default=20261016);a=ap.parse_args()
+    os.environ['FILLPKG']=str(a.package.resolve())
+    sys.path.insert(0,str(a.package.resolve()/'new/borrow-fill/search'))
+    import fillbase as f
+    widths={p:d['widths'] for p,d in f.prov.items()}
+    paid={p:{int(k):v for k,v in d['actual_paid_profile'].items()} for p,d in f.prov.items()}
+    rows=[list(x) for x in f.fill['rows']]
+    original_idle,original_profile=f.check(rows,widths,paid)
+    w=[widths[f.dispatch[tuple(f.order[x[0]])]][x[1]] for x in rows]
+    bins=lambda i:tuple(rows[i][2:5])
+    caps={(int(k.split(',')[0]),int(k.split(',')[1])):v[0] for k,v in f.windows.items()}
+    used=collections.Counter();calls=collections.defaultdict(list)
+    for i,row in enumerate(rows):used[bins(i)]+=w[i];calls[row[0]].append(i)
+    rng=random.Random(a.seed);moves=[];tested=0
+    for step in range(a.passes):
+        count=0;times=list(calls);rng.shuffle(times)
+        for t in times:
+            ids=sorted(calls[t],key=lambda i:(w[i],i))
+            for ix,i in enumerate(ids):
+                for j in ids[ix+1:]:
+                    d=w[j]-w[i]
+                    if not d:continue
+                    bi,bj=bins(i),bins(j)
+                    if bi==bj:continue
+                    x,y=caps[bi[:2]]-used[bi],caps[bj[:2]]-used[bj]
+                    tested+=1
+                    if x<d:continue
+                    # For 0<a<1, concavity gives strict saving iff the
+                    # nonnegative residual pair with equal sum is more spread.
+                    if max(x-d,y+d)<=max(x,y):continue
+                    rows[i][2:5],rows[j][2:5]=list(bj),list(bi)
+                    used[bi]+=d;used[bj]-=d
+                    moves.append({'call':t,'roles':[rows[i][1],rows[j][1]],'widths':[w[i],w[j]],'before':[x,y],'after':[x-d,y+d]})
+                    count+=1
+        print('pass',step,'exactly_dominating_swaps',count,'tested',tested,flush=True)
+        if not count:break
+    rows=f.compact(rows,lambda row:widths[f.dispatch[tuple(f.order[row[0]])]][row[1]])
+    idle,profile=f.check(rows,widths,paid)
+    out={'seed':a.seed,'passes':step+1,'pairs_screened':tested,'moves':moves,'idle_before':dict(sorted(original_idle.items())),'idle_after':dict(sorted(idle.items())),'profile_before':dict(sorted(original_profile.items())),'profile_after':dict(sorted(profile.items())),'claim':'strict moment improvement for all 0<a<1 if and only if at least one recorded move; no final kappa certification'}
+    a.out.mkdir(parents=True,exist_ok=True)
+    (a.out/'RESULT.json').write_text(json.dumps(out,indent=2)+'\n')
+    (a.out/'FILL.json.gz').write_bytes(gzip.compress(json.dumps(dict(columns=f.fill['columns'],dispatch_overrides=f.fill['dispatch_overrides'],rows=rows),separators=(',',':')).encode(),mtime=0))
+    print('SWAPS',len(moves),flush=True)
+
+if __name__=='__main__':main()
diff --git a/research/shared-kernel-pair-concentration/experiments/newest_swaps.py b/research/shared-kernel-pair-concentration/experiments/newest_swaps.py
new file mode 100644
index 0000000000..8bbdf713f5
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/experiments/newest_swaps.py
@@ -0,0 +1,55 @@
+#!/usr/bin/env python3
+"""All-width same-call swaps using exact concavity dominance, seed fixed.
+
+Reuses the source-bound window/inventory reader and literal fill checker from
+Philippe Van Velzen/Jeremy Kothe's credited package. Unlike swapfill.py this
+screens every pair of distinct widths and uses no floating-point comparison.
+OpenAI Codex assistance. Apache-2.0.
+"""
+import argparse, collections, gzip, json, os, random, sys
+from pathlib import Path
+
+def main():
+    ap=argparse.ArgumentParser();ap.add_argument('package',type=Path);ap.add_argument('--out',type=Path,required=True);ap.add_argument('--passes',type=int,default=4);ap.add_argument('--seed',type=int,default=20261016);a=ap.parse_args()
+    package=a.package
+    def read(name):
+        p=package/name;b=p.read_bytes();return json.loads(gzip.decompress(b) if p.suffix=='.gz' else b)
+    prov=read('PROVIDERS.json');order=read('ORDER.json');fill=read('FILL.json.gz');dispatch={(s,r):p for s,r,p in read('DISPATCH.json')}
+    widths={p:d['widths'] for p,d in prov.items()}
+    rows=[list(x) for x in fill['rows']]
+    w=[widths[dispatch[tuple(order[x[0]])]][x[1]] for x in rows]
+    bins=lambda i:tuple(rows[i][2:5])
+    template=read('sources/PR2833-T37-TEMPLATE.json.gz')
+    rank={e['child']:e['rank'] for e in template['idle_children']}
+    caps={(rep,ch):cap for rep in range(37) for ch,cap in rank.items()}
+    used=collections.Counter();calls=collections.defaultdict(list)
+    for i,row in enumerate(rows):used[bins(i)]+=w[i];calls[row[0]].append(i)
+    rng=random.Random(a.seed);moves=[];tested=0
+    for step in range(a.passes):
+        count=0;times=list(calls);rng.shuffle(times)
+        for t in times:
+            ids=sorted(calls[t],key=lambda i:(w[i],i))
+            for ix,i in enumerate(ids):
+                for j in ids[ix+1:]:
+                    d=w[j]-w[i]
+                    if not d:continue
+                    bi,bj=bins(i),bins(j)
+                    if bi==bj:continue
+                    x,y=caps[bi[:2]]-used[bi],caps[bj[:2]]-used[bj]
+                    tested+=1
+                    if x<d:continue
+                    # For 0<a<1, concavity gives strict saving iff the
+                    # nonnegative residual pair with equal sum is more spread.
+                    if max(x-d,y+d)<=max(x,y):continue
+                    rows[i][2:5],rows[j][2:5]=list(bj),list(bi)
+                    used[bi]+=d;used[bj]-=d
+                    moves.append({'call':t,'roles':[rows[i][1],rows[j][1]],'widths':[w[i],w[j]],'before':[x,y],'after':[x-d,y+d]})
+                    count+=1
+        print('pass',step,'exactly_dominating_swaps',count,'tested',tested,flush=True)
+        if not count:break
+    out={'baseline_head':'0b2e2537b368a0cade07ce3f71452ea018ebe394','seed':a.seed,'passes':step+1,'pairs_screened':tested,'moves':moves,'scope':'Exhaustive same-call distinct-width pair census at each visited allocation. No infeasibility claim for multi-role paths, cycles, inter-call moves or new words.'}
+    a.out.mkdir(parents=True,exist_ok=True)
+    (a.out/'RESULT.json').write_text(json.dumps(out,indent=2)+'\n')
+    print('SWAPS',len(moves),flush=True)
+
+if __name__=='__main__':main()
diff --git a/research/shared-kernel-pair-concentration/experiments/quartet_boundary.py b/research/shared-kernel-pair-concentration/experiments/quartet_boundary.py
new file mode 100644
index 0000000000..c621288880
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/experiments/quartet_boundary.py
@@ -0,0 +1,115 @@
+#!/usr/bin/env python3
+"""Independent exact fixed-suffix quartet test; no supplier admission claim.
+
+Reads Philippe Van Velzen's PR2853 words at the pinned commit. Implements
+only rational row propagation; imports none of the supplier/audit engines.
+OpenAI Codex assisted research, 2026-10-16. Apache-2.0.
+"""
+import argparse
+import collections
+from fractions import Fraction as F
+import gzip
+import hashlib
+import itertools
+import json
+from pathlib import Path
+
+QUARTETS = [(460,461,468,469), (462,463,470,471),
+            (478,479,490,491), (480,481,492,493)]
+
+def rref(matrix):
+    a = [[F(x) for x in row] for row in matrix]
+    rank = 0
+    pivots = []
+    for col in range(len(a[0])):
+        pivot = next((i for i in range(rank,len(a)) if a[i][col]),None)
+        if pivot is None:
+            continue
+        a[rank],a[pivot] = a[pivot],a[rank]
+        q=a[rank][col]
+        a[rank]=[x/q for x in a[rank]]
+        for i in range(len(a)):
+            if i!=rank:
+                q=a[i][col]
+                a[i]=[x-q*y for x,y in zip(a[i],a[rank])]
+        pivots.append(col)
+        rank+=1
+    null=[]
+    for col in set(range(len(a[0])))-set(pivots):
+        x=[F(0)]*len(a[0]);x[col]=F(1)
+        for i,p in enumerate(pivots):x[p]=-a[i][col]
+        assert all(sum(u*v for u,v in zip(row,x))==0 for row in matrix)
+        null.append(x)
+    return rank,pivots,null
+
+def propagate(w):
+    columns=list(itertools.chain.from_iterable(QUARTETS))
+    rows=collections.defaultdict(dict)
+    for c in columns: rows[c][(c,())]=F(1)
+    warp_hits=0
+    def add(dst,src,q):
+        for k,v in list(src.items()):
+            v=rows[dst].get(k,F(0))+q*v
+            if v:rows[dst][k]=v
+            else:rows[dst].pop(k,None)
+    def append_word(old,ops):
+        result=list(old)
+        for op in ops:
+            if result and result[-1]==-op:result.pop()
+            else:result.append(op)
+        return tuple(result)
+    def event(e):
+        nonlocal warp_hits
+        if e[0]=='add':add(e[1],rows[e[2]],F(e[3],e[4]))
+        elif e[0]=='scale':rows[e[1]]={k:v*F(e[2],e[3]) for k,v in rows[e[1]].items() if v*F(e[2],e[3])}
+        elif e[0]=='warp':
+            if rows[e[1]]:warp_hits+=1
+            out={}
+            for (c,word),v in rows[e[1]].items():
+                k=(c,append_word(word,[e[2]]));out[k]=out.get(k,F(0))+v
+            rows[e[1]]={k:v for k,v in out.items() if v}
+        else:raise ValueError(('unknown event',e))
+    for c in w['initial_corrections']:
+        assert not rows[c['source']], 'extend independent correction algebra before using other source sets'
+    for e in w['precondition']:event(e)
+    # Remove precisely the compensation reading the quartet sources.
+    for e in w['compensation']:
+        if not(e[0]=='add' and e[2] in columns):event(e)
+    for e in w['A']+w['cut']:event(e)
+    warps=collections.defaultdict(list)
+    for op,rec in enumerate(w['warps'],1):warps[rec[0]].append(['warp',rec[1],op])
+    for i in range(len(w['B'])+1):
+        for e in warps[i]:event(e)
+        if i<len(w['B']):event(w['B'][i])
+    for e in w['restore']:event(e)
+    # Every operator-valued target coefficient gets its own matrix row.
+    labels=sorted({(t,word) for t in range(112,224) for c,word in rows[t]})
+    matrix=[[rows[t].get((c,word),F(0)) for c in columns] for t,word in labels]
+    return columns,labels,matrix,warp_hits
+
+def main():
+    p=argparse.ArgumentParser();p.add_argument('package',type=Path);p.add_argument('--out',type=Path,required=True);a=p.parse_args()
+    result={'scope':'fixed suffix after an arbitrary invertible preprocessing confined to the four quartet registers; not arbitrary interleaved gates, new receivers, frames or a new supplier','orientations':{}}
+    for kind in ['base','extra']:
+        path=a.package/f'new/borrow/words/BORROW-WORD-43{kind}.json.gz'
+        raw=path.read_bytes();w=json.loads(gzip.decompress(raw))
+        columns,labels,matrix,hits=propagate(w)
+        records=[]
+        for q in QUARTETS:
+            indices=[columns.index(c) for c in q]
+            m=[[row[i] for i in indices] for row in matrix]
+            rank,pivots,null=rref(m)
+            active=[(label,row) for label,row in zip(labels,m) if any(row)]
+            # Proof-relevant controls: rank and kernel respond to perturbations.
+            assert rank==3 and len(null)==1
+            assert all(v[0]==1 and all(x==0 for x in v[1:]) for v in null)
+            altered=[row[:] for row in m]+[[F(1),F(0),F(0),F(0)]]
+            assert rref(altered)[0]==4
+            zeroed=[[F(0)]*4 for row in m]
+            assert rref(zeroed)[0]==0
+            records.append({'quartet':q,'rank':rank,'nullity':4-rank,'pivots':pivots,'nullspace':[[str(x) for x in v] for v in null],'nonzero_rows':[{'target':lab[0],'operator_word':lab[1],'coefficients':[str(x) for x in row]} for lab,row in active]})
+        result['orientations'][kind]={'source_sha256':hashlib.sha256(raw).hexdigest(),'warp_hits':hits,'quartets':records,'controls':{'fill_null_column':True,'erase_matrix':True}}
+    a.out.write_text(json.dumps(result,indent=2)+'\n')
+    print('PASS: eight exact rank-three quartet maps; fixed-suffix nullity one. No kappa improvement.')
+
+if __name__=='__main__':main()
diff --git a/research/shared-kernel-pair-concentration/generate.py b/research/shared-kernel-pair-concentration/generate.py
new file mode 100644
index 0000000000..df47253546
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/generate.py
@@ -0,0 +1,32 @@
+#!/usr/bin/env python3
+# SPDX-License-Identifier: Apache-2.0
+"""Two interleaved PR2857 copies and one width-seven transfer. Codex-assisted."""
+import argparse, gzip, hashlib, json
+from pathlib import Path
+
+def read(p):
+ b=p.read_bytes();return json.loads(gzip.decompress(b) if p.suffix=='.gz' else b)
+def write(p,v):
+ b=(json.dumps(v,separators=(',',':'))+'\n').encode();p.write_bytes(gzip.compress(b,mtime=0) if p.suffix=='.gz' else b)
+def main():
+ p=argparse.ArgumentParser();p.add_argument('source',type=Path);p.add_argument('out',type=Path);a=p.parse_args();a.out.mkdir(parents=True,exist_ok=False)
+ pins={'FILL.json.gz':'82218aaaf08825bd4a3cca676815c7e9c00d06d0da123b1c5ad234c8c91cb501','ORDER.json':'84f030a59dde4fa4635988ef0931ebae66964b3a202df79d38247fbe8a5592dc','DISPATCH.json':'5513481a70c83767b5836b15fb7ff204d2a8f8fca83c6bcaee90a20b3d1ec6c4'}
+ for n,h in pins.items():
+  if hashlib.sha256((a.source/n).read_bytes()).hexdigest()!=h:raise ValueError('source '+n)
+ old=read(a.source/'FILL.json.gz');order=read(a.source/'ORDER.json');dispatch=read(a.source/'DISPATCH.json');rows=[]
+ for t,h,r,ch,port,off in old['rows']:
+  for k in range(2):rows.append([2*t+k,h,r+37*k,ch,port,off])
+ rows.sort(key=lambda r:r[:2]);target=next(r for r in rows if r[0]==658 and r[1]==297)
+ if target!=[658,297,35,16,37,0]:raise ValueError('declared source role')
+ target[2]=72;target[5]=7
+ new=dict(old,rows=rows)
+ new['dispatch_overrides']=[[s,r+37*k,pid] for s,r,pid in old['dispatch_overrides'] for k in range(2)]
+ write(a.out/'FILL.json.gz',new)
+ write(a.out/'ORDER.json',[[s,r+37*k] for s,r in order for k in range(2)])
+ write(a.out/'DISPATCH.json',[[s,r+37*k,pid] for s,r,pid in dispatch for k in range(2)])
+ write(a.out/'PROVIDERS.json',read(a.source/'PROVIDERS.json'))
+ profile={int(r):2*n for r,n in read(a.source/'PROFILE.json').items()};profile[9]-=2;profile[2]+=1;profile[16]=profile.get(16,0)+1;profile={r:n for r,n in sorted(profile.items()) if n}
+ write(a.out/'PROFILE.json',profile)
+ write(a.out/'CONSTRUCTION.json',{'source_head':'0b2e2537b368a0cade07ce3f71452ea018ebe394','source_sha256':pins,'copies':2,'replica_offset':37,'time_map':'2*t+k','transfer':{'call':658,'helper':297,'width':7,'before':[35,16,37,0],'after':[72,16,37,7]},'profile_delta_from_double':{'2':1,'9':-2,'16':1},'status':'GENERATED_NOT_ADMITTED'})
+ print('GENERATED',profile)
+if __name__=='__main__':main()
diff --git a/research/shared-kernel-pair-concentration/independent.py b/research/shared-kernel-pair-concentration/independent.py
new file mode 100644
index 0000000000..acfe08985c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/independent.py
@@ -0,0 +1,75 @@
+#!/usr/bin/env python3
+# SPDX-License-Identifier: Apache-2.0
+"""Independent event/role audit of the doubled PR2857 allocation. Codex-assisted.
+No inherited engine is imported. Full native and analytic admission is separate.
+"""
+import argparse,collections,copy,gzip,hashlib,json
+from pathlib import Path
+
+def need(ok,s):
+ if not ok:raise ValueError(s)
+def read(p):
+ b=p.read_bytes();return json.loads(gzip.decompress(b) if p.suffix=='.gz' else b)
+def main():
+ import sys
+ if sys.flags.optimize:raise SystemExit("assertions must be enabled")
+ ap=argparse.ArgumentParser();ap.add_argument('source',type=Path);ap.add_argument('candidate',type=Path);ap.add_argument('--out',type=Path,required=True);a=ap.parse_args()
+ order=read(a.candidate/'ORDER.json');oldorder=read(a.source/'ORDER.json');need(order==[[s,r+37*k] for s,r in oldorder for k in range(2)],'exact interleaved chronology')
+ providers=read(a.source/'PROVIDERS.json');need(providers==read(a.candidate/'PROVIDERS.json'),'unchanged inventory')
+ olddispatch=read(a.source/'DISPATCH.json');dispatchrows=read(a.candidate/'DISPATCH.json');need(dispatchrows==[[s,r+37*k,p] for s,r,p in olddispatch for k in range(2)],'unchanged dispatch in both copies')
+ dispatch={(s,r):p for s,r,p in dispatchrows};template=read(a.source/'sources/PR2833-T37-TEMPLATE.json.gz');plan=read(a.source/'sources/PR2833-PLAN.json.gz')
+ blocks=collections.defaultdict(list);stage=None
+ for idx,e in enumerate(template['execution_schedule']):
+  if e['kind'] in ('bank_padding_cover_sweep','translate_every_live_family'):continue
+  if e['kind']=='local_cover_sweep':stage=e['stage']
+  need(stage is not None,'stage');blocks[stage].append((idx,e))
+ pairs={e['stage']:e['pair'] for e in template['recipe'] if e['kind']=='local'};rank={e['child']:e['rank'] for e in template['idle_children']};last={};windows={};clocks=[];clock=0;projections=collections.defaultdict(list)
+ for t,(s,r) in enumerate(order):
+  for idx,e in blocks[s]:
+   projections[r].append(idx)
+   if e['kind']=='local_cover_sweep':last[r,pairs[s]]=clock;clocks.append(clock)
+   elif e['kind']=='bridge':last[r,e['src']]=clock;last[r,e['dst']]=clock
+   elif e['kind']=='idle_cover_sweep':
+    for child in e['child_indices']:
+     if child in rank:windows[r,child]=(last.get((r,e['pair']),-1),clock)
+   clock+=1
+ need(set(projections)==set(range(74)) and all(v==list(range(30)) for v in projections.values()),'complete original block event projections')
+ def audit(rows):
+  need(len(rows)==666*408,'all roles');seen=collections.defaultdict(set);families=collections.defaultdict(set);bins=collections.defaultdict(list)
+  for row in rows:
+   need(len(row)==6 and all(type(v)is int for v in row),'integer role')
+   t,h,r,ch,port,off=row;need(0<=t<666 and 0<=h<408 and 0<=r<74 and ch in rank and 0<=port<112 and off>=0,'role ranges')
+   lo,hi=windows[r,ch];need(lo<clocks[t]<hi,'chronological window')
+   need(h not in seen[t],'duplicate helper');seen[t].add(h)
+   family=r*896+(2*plan['pairs'][str(ch)]+plan['sides'][str(ch)])*112+port
+   need(family not in families[t],'physical family collision');families[t].add(family)
+   w=providers[dispatch[tuple(order[t])]]['widths'][h];need(off+w<=rank[ch],'capacity');bins[r,ch,port].append((off,w))
+  need(all(seen[t]==set(range(408)) for t in range(666)),'role coverage')
+  idle=collections.Counter()
+  for r in range(74):
+   for ch,cap in rank.items():
+    for port in range(112):
+     used=0
+     for off,w in sorted(bins[r,ch,port]):need(off==used,'overlap or gap');used+=w
+     if used<cap:idle[cap-used]+=1
+  profile=collections.Counter(idle)
+  for sr in order:profile.update({int(r):n for r,n in providers[dispatch[tuple(sr)]]['actual_paid_profile'].items()})
+  need(sum(r*n for r,n in profile.items())==65088*74,'rank mass')
+  return profile,idle
+ original=read(a.source/'FILL.json.gz');candidate=read(a.candidate/'FILL.json.gz');rows=candidate['rows'];expected=[]
+ for t,h,r,ch,port,off in original['rows']:
+  for k in range(2):expected.append([2*t+k,h,r+37*k,ch,port,off])
+ expected.sort(key=lambda r:r[:2]);before,_=audit(expected)
+ target=next(r for r in expected if r[:2]==[658,297]);need(target==[658,297,35,16,37,0],'transfer source');target[2]=72;target[5]=7
+ need(rows==expected,'one declared transfer only')
+ after,idle=audit(rows);delta={r:after[r]-before[r] for r in after.keys()|before.keys() if after[r]!=before[r]};need(delta=={2:1,9:-2,16:1},'exact idle delta')
+ need(dict(after)=={int(r):n for r,n in read(a.candidate/'PROFILE.json').items()},'full profile')
+ controls=[]
+ for name,change in [('overlap',lambda z:z.__setitem__(5,0)),('capacity',lambda z:z.__setitem__(5,16)),('port',lambda z:z.__setitem__(4,112)),('time',lambda z:z.__setitem__(0,666))]:
+  mutant=copy.deepcopy(rows);row=next(r for r in mutant if r[:2]==[658,297]);change(row)
+  try:audit(mutant)
+  except ValueError as e:controls.append({'name':name,'rejection':str(e)})
+  else:raise ValueError('accepted mutant '+name)
+ report={'status':'PASS_INDEPENDENT_INTERLEAVED_TRANSFER','calls':666,'roles':len(rows),'replicas':74,'live':66304,'physical':66794,'profile':dict(sorted(after.items())),'idle':dict(sorted(idle.items())),'profile_delta_from_double':delta,'controls':controls,'input_sha256':{str(p):hashlib.sha256(p.read_bytes()).hexdigest() for d in [a.source,a.candidate] for n in ['FILL.json.gz','ORDER.json','DISPATCH.json','PROVIDERS.json'] if (p:=d/n).exists()},'scope':'Literal complete roles, source event chronology, windows, disjoint families, no-gap capacities, complete profile. Native operations, interfaces and analytic transfer are retained dependencies, not established here.'}
+ a.out.write_text(json.dumps(report,indent=2)+'\n');print(report['status'],report['profile'])
+if __name__=='__main__':main()
diff --git a/research/shared-kernel-pair-concentration/reproduce.py b/research/shared-kernel-pair-concentration/reproduce.py
new file mode 100644
index 0000000000..5594f7bb48
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/reproduce.py
@@ -0,0 +1,40 @@
+#!/usr/bin/env python3
+# SPDX-License-Identifier: Apache-2.0
+"""Replay exact PR2857 first, then regenerate and completely admit this derivative.
+
+No network or edits to frozen sources. The two unchanged current provider chains
+are reused from this run's authenticated PR2857 replay. Retained predecessors use
+PR2857's explicit full-tree cache bindings. Codex-assisted.
+"""
+import argparse, hashlib, io, json, os, subprocess, sys, tarfile
+from pathlib import Path
+HERE=Path(__file__).resolve().parent
+HEAD='0b2e2537b368a0cade07ce3f71452ea018ebe394'
+PREFIX='research/shared-kernel-repacking/'
+def need(ok,s):
+ if not ok:raise ValueError(s)
+def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest()
+def main():
+ ap=argparse.ArgumentParser(description=__doc__);ap.add_argument('--repo',type=Path,required=True);ap.add_argument('--work',type=Path,required=True);ap.add_argument('--jobs',type=int,choices=[1,2],default=2);a=ap.parse_args();a.repo=a.repo.resolve();a.work=a.work.resolve()
+ need(not sys.flags.optimize,'assertions enabled');need(not a.work.exists(),'fresh external work');a.work.mkdir(parents=True);dep=a.work/'pr2857';dep.mkdir()
+ raw=subprocess.check_output(['git','-C',str(a.repo),'archive',HEAD,PREFIX.rstrip('/')])
+ with tarfile.open(fileobj=io.BytesIO(raw)) as ar:
+  for m in ar:
+   if m.isdir():continue
+   need(m.isfile() and m.name.startswith(PREFIX),'regular pinned source');rel=Path(m.name[len(PREFIX):]);need(not rel.is_absolute() and '..' not in rel.parts,'safe path');p=dep/rel;p.parent.mkdir(parents=True,exist_ok=True);p.write_bytes(ar.extractfile(m).read())
+ need({p.relative_to(dep).as_posix():sha(p) for p in dep.rglob('*') if p.is_file()}==json.loads((HERE/'DEPENDENCIES.json').read_text())['pr2857_files'],'entire PR2857 source tree')
+ env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1',PYTHONINTMAXSTRDIGITS='0',OPENBLAS_NUM_THREADS='1',OMP_NUM_THREADS='1');env.pop('PYTHONOPTIMIZE',None);stages=[]
+ def run(name,args):
+  argv=[sys.executable,'-B']+[str(x) for x in args];log=a.work/(name+'.log')
+  with log.open('w') as f:r=subprocess.run(argv,env=env,stdout=f,stderr=subprocess.STDOUT)
+  stages.append({'name':name,'argv':argv,'exit_code':r.returncode,'log_sha256':sha(log)});(a.work/'STAGES.json').write_text(json.dumps(stages,indent=2)+'\n');need(r.returncode==0,'failed '+name);print('PASS',name,flush=True)
+ source=a.work/'pr2833';run('materialize-source',[dep/'materialize_source.py','--repo',a.repo,'--out',source])
+ cache=a.work/'retained-cache';cache.mkdir()
+ with tarfile.open(dep/'evidence/retained/NATIVE-CACHE.tar.gz') as ar:ar.extractall(cache,filter='data')
+ baseline=a.work/'baseline';run('baseline-complete',[dep/'reproduce.py','--source',source,'--words',dep/'words','--fill',dep/'FILL.json.gz','--order',dep/'ORDER.json','--dispatch',dep/'DISPATCH.json','--retained-cache',cache,'--retained-receipt',dep/'evidence/retained/NATIVE-RECEIPT.json','--comparison-claim',dep/'sources/PR2848-CLAIM.json','--comparison-latest-claim',dep/'sources/PR2853-OUTER-CLAIM.json','--work',baseline,'--jobs',a.jobs])
+ candidate=a.work/'candidate';run('generate',[HERE/'generate.py',dep,candidate]);run('independent-owners',[HERE/'independent.py',dep,candidate,'--out',candidate/'INDEPENDENT-OWNERS.json']);run('exact-moment',[HERE/'exact_moment.py',candidate,dep,'--out',candidate/'EXACT-MOMENT.json'])
+ admitted=a.work/'admission';helpers=dep/'vendor/pr2839'
+ run('complete-admission',[dep/'admit_shared_replica.py','--source',baseline/'source','--fill',candidate/'FILL.json.gz','--order',candidate/'ORDER.json','--dispatch',candidate/'DISPATCH.json','--native-cache',baseline/'native/native-cache','--native-receipt',baseline/'native/NATIVE-RECEIPT.json','--work',admitted,'--replica-helper-dir',helpers,'--reconstructor',helpers/'reconstruct_replica.py','--comparison-claim',dep/'sources/PR2848-CLAIM.json','--blocknorm-checker',helpers/'blocknorm_certificate.py','--source-profile','shared-four','--comparison-profile','pr2848','--jobs',a.jobs])
+ run('final-binding',[HERE/'verify_release_binding.py','--admission',admitted,'--moment',candidate/'EXACT-MOMENT.json','--baseline',baseline/'RESULT.json'])
+ print('PASS_COMPLETE_PAIRED_CONCENTRATION')
+if __name__=='__main__':main()
diff --git a/research/shared-kernel-pair-concentration/requirements-reproduction.txt b/research/shared-kernel-pair-concentration/requirements-reproduction.txt
new file mode 100644
index 0000000000..77cd5d09ff
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/requirements-reproduction.txt
@@ -0,0 +1,6 @@
+numpy==2.4.5
+scipy==1.16.1
+sympy==1.14.0
+mpmath==1.3.0
+gmpy2==2.3.2
+psutil==7.2.1
diff --git a/research/shared-kernel-pair-concentration/source-inputs/CLAIM.json b/research/shared-kernel-pair-concentration/source-inputs/CLAIM.json
new file mode 100644
index 0000000000..4667bf460a
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/source-inputs/CLAIM.json
@@ -0,0 +1,50 @@
+{
+  "calls": 333,
+  "derived_source_manifest_sha256": "54dc42f25c1d8b85adcf593c4bf6c0f83f7351388af857812790b8a0b4c3d869",
+  "gain": "1438120379902596153/1000000000000000000000000",
+  "generated_package_manifest_sha256": "88a7ad8ce5cf4cec2633957215f5849459e7eb1087f3e7e1f1865bbe38d685ff",
+  "helper_roles": 135864,
+  "helper_widths": {
+    "4": 26,
+    "5": 2,
+    "7": 62,
+    "8": 84,
+    "9": 234
+  },
+  "kappa": "17200966286848326009719999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000",
+  "kappa_decimal": "0.0017200966286848326009719999999999999999999998999999999999999999999999",
+  "local_profile": {
+    "1": 2394,
+    "2": 642,
+    "3": 266,
+    "4": 128,
+    "5": 26,
+    "8": 8
+  },
+  "native_receipt_sha256": "5a7571fec09d1d0326a430540df3c19bb90d337dbdf602a63bde032c0da9b98d",
+  "primary_comparison": {
+    "gain": "1438120379902596153/1000000000000000000000000",
+    "head": "c50d12e4720cd1fef2b5a65e337e37de9731879a",
+    "pr": 2848
+  },
+  "provider_calls": {
+    "base": 125,
+    "extra": 208
+  },
+  "release_evidence": "evidence/full/candidate/release/RELEASE-RECEIPT.json",
+  "release_receipt_sha256": "c052decb90ceae345b398f111781f567fb787309a528877500cf7fe1cff13b3d",
+  "replicas": 37,
+  "scope": "Conditional finite supplier and modern outer release; unchanged inherited all-size/compiler/hosting/precision/tape/analytic obligations remain. Two changed providers run fresh; retained provider/parent proof explicitly reused by full-tree hashes.",
+  "secondary_comparison": {
+    "approx_gain": 7.189699872459419e-07,
+    "claim_sha256": "eb3260be191774b931cff6e562978a2af27bbc6ff666ca8c1d387a2b18dc86fa",
+    "field": "kappa_rational",
+    "gain": "7189699872459419246615827392278185991042548574990569587539942495595928959576094075629078385983063650400003424201948266247923600171338928575471866883795891334423521795338535080382401656414515475297025982710190359391689059992403495452686828582357709232440249149672963556236041050723298684385915817417449217705385073145833321366481834904425363262086388277060576458834487330051420123305137059179205677318395952964350749396627325186506122864263229477305890867900841422512149140310616381583896986380573136991988405796041170226076081690532164214595205463319682197469561285276245917780703258673321936645454308733802343795514953059992805396235772113157342387297422742421097475941428317704173074317340082269694285184507473985003475180269741189839472921497904173465107437611568251598211830549290124106996746202512863157520875898830570894349239603302420825373319627797702543534380125158663478190413347597219888009613829827731626618157906706211989401620644315146109394751787258425715988485402242350781648255868925790279096436111257453481811020106093076840760381071476443244027402799472212513790113884546643511903086639310852161627260562673732027874207808079081174463327575486182860044450915169366870555864346156800137051690759468033008812059850619771713471985897237223844424552196447632994994465482645547300181042498740278627879457171042245722157324591147473041097794508520855143063613445481313297138037348119414575080415504525065215107960743710791777056616058472907429431602780660294720287570294573048177705995922097707217381181886097305547549708540060153571280838342848582791950064711314352305401994658064501488847081053752160040731329682450427587522306848026164750958321832171183172313246930191281326155839107184163897623242324963328981882933221566460260043336755861150201070299077615353824821249637769963793904591798784685748010489538196403328294367101757099214406024993482359244986132338450501698568318389206930329146685614223279773016403313273558629122554912175279404746427984360734735058898328595159640039918619156266091951993980877845424594843423904413154022805679242435642413749641590037256571435337964457390354992042520804801385366866375473383018642084250750877331668028309577710100527378552646744286161242932444044048230615482982854868459601872387735992298097909513338347119321588960759847578745040876817413849897043779584950767543895448564146277294667621883810866803105375526835035838098721535011955187709169712874792728677303643413182690345742458350457206548949236257000387340638184257405123125634380278802891605263939959334688659055419461035018741653126475632920705352790184221569032092926099142413569639127028526066387118245241503563673647999297742661103274184416241295606247743751395286327320778923120523916930363312378469495818977657875419381016680284091605307629204826370832779055204920797952564322222252163701419880833695731670320700306852666150897548924069204570864843045801665567645977324958861110130871980201306710823067625186023033001954002269744349148000615184917666691457424694260310000000000000000000001000000000000000000000001/10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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+    "head": "d01045dfb67428679618027dff552f1d032fa999",
+    "pr": 2853
+  },
+  "selected_frontier_changed": false,
+  "source_manifest_sha256": "c8ec4d1b7be08d2ad30730a07392ad9cb6d0222f2c35bef43c9a80a39b16e41f",
+  "status": "PASS_CONDITIONAL_FINITE_SHARED_KERNEL_RELEASE",
+  "wrapper_sha256": "7fc4cd1277f42ba0a25a1eae72c6290878fefd5bab7053f4e548c15d95d914c5"
+}
diff --git a/research/shared-kernel-pair-concentration/source-inputs/DISPATCH.json b/research/shared-kernel-pair-concentration/source-inputs/DISPATCH.json
new file mode 100644
index 0000000000..2c48b2e02c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/source-inputs/DISPATCH.json
@@ -0,0 +1 @@
+[[0,0,"extra"],[0,1,"extra"],[0,2,"extra"],[0,3,"extra"],[0,4,"extra"],[1,0,"extra"],[0,5,"extra"],[1,1,"extra"],[0,6,"extra"],[1,2,"extra"],[0,7,"extra"],[1,3,"extra"],[0,8,"extra"],[1,4,"extra"],[0,9,"extra"],[2,0,"extra"],[1,5,"extra"],[0,10,"extra"],[2,1,"extra"],[1,6,"extra"],[0,11,"extra"],[2,2,"extra"],[1,7,"extra"],[0,12,"extra"],[2,3,"extra"],[1,8,"extra"],[0,13,"extra"],[2,4,"extra"],[1,9,"extra"],[3,0,"extra"],[0,14,"extra"],[2,5,"extra"],[1,10,"extra"],[3,1,"extra"],[0,15,"extra"],[2,6,"extra"],[1,11,"extra"],[3,2,"extra"],[0,16,"extra"],[2,7,"extra"],[1,12,"extra"],[3,3,"extra"],[0,17,"extra"],[2,8,"extra"],[1,13,"extra"],[3,4,"extra"],[0,18,"extra"],[2,9,"extra"],[4,0,"extra"],[1,14,"extra"],[3,5,"extra"],[0,19,"extra"],[2,10,"extra"],[4,1,"extra"],[1,15,"extra"],[3,6,"extra"],[0,20,"extra"],[2,11,"extra"],[4,2,"extra"],[1,16,"extra"],[3,7,"extra"],[0,21,"extra"],[2,12,"extra"],[4,3,"extra"],[1,17,"extra"],[3,8,"extra"],[0,22,"extra"],[2,13,"extra"],[4,4,"extra"],[1,18,"extra"],[3,9,"extra"],[0,23,"extra"],[5,0,"extra"],[2,14,"extra"],[4,5,"extra"],[1,19,"extra"],[3,10,"extra"],[0,24,"extra"],[5,1,"extra"],[2,15,"extra"],[4,6,"extra"],[1,20,"extra"],[3,11,"extra"],[0,25,"extra"],[5,2,"extra"],[2,16,"extra"],[4,7,"extra"],[1,21,"extra"],[3,12,"extra"],[0,26,"extra"],[5,3,"extra"],[2,17,"extra"],[4,8,"extra"],[1,22,"extra"],[3,13,"extra"],[0,27,"extra"],[5,4,"extra"],[2,18,"extra"],[4,9,"extra"],[1,23,"extra"],[6,0,"extra"],[3,14,"extra"],[0,28,"extra"],[5,5,"extra"],[2,19,"extra"],[4,10,"extra"],[1,24,"extra"],[6,1,"extra"],[3,15,"extra"],[0,29,"extra"],[5,6,"extra"],[2,20,"extra"],[4,11,"extra"],[1,25,"extra"],[6,2,"extra"],[3,16,"extra"],[0,30,"extra"],[5,7,"extra"],[2,21,"extra"],[4,12,"extra"],[1,26,"extra"],[6,3,"extra"],[3,17,"extra"],[0,31,"extra"],[5,8,"extra"],[2,22,"extra"],[4,13,"extra"],[1,27,"extra"],[6,4,"extra"],[3,18,"extra"],[0,32,"extra"],[5,9,"extra"],[2,23,"extra"],[7,0,"extra"],[4,14,"extra"],[1,28,"extra"],[6,5,"extra"],[3,19,"extra"],[0,33,"extra"],[5,10,"extra"],[2,24,"extra"],[7,1,"extra"],[4,15,"extra"],[1,29,"extra"],[6,6,"extra"],[3,20,"extra"],[0,34,"extra"],[5,11,"extra"],[2,25,"extra"],[7,2,"extra"],[4,16,"extra"],[1,30,"extra"],[6,7,"extra"],[3,21,"extra"],[0,35,"extra"],[5,12,"extra"],[2,26,"extra"],[7,3,"extra"],[4,17,"extra"],[1,31,"extra"],[6,8,"extra"],[3,22,"extra"],[0,36,"extra"],[5,13,"extra"],[2,27,"extra"],[7,4,"extra"],[4,18,"extra"],[1,32,"extra"],[6,9,"extra"],[3,23,"extra"],[8,0,"extra"],[5,14,"extra"],[2,28,"extra"],[7,5,"extra"],[4,19,"extra"],[1,33,"extra"],[6,10,"extra"],[3,24,"extra"],[8,1,"extra"],[5,15,"extra"],[2,29,"extra"],[7,6,"extra"],[4,20,"extra"],[1,34,"extra"],[6,11,"extra"],[3,25,"extra"],[8,2,"extra"],[5,16,"extra"],[2,30,"extra"],[7,7,"extra"],[4,21,"extra"],[1,35,"extra"],[6,12,"extra"],[3,26,"extra"],[8,3,"extra"],[5,17,"extra"],[2,31,"extra"],[7,8,"extra"],[4,22,"extra"],[1,36,"extra"],[6,13,"extra"],[3,27,"extra"],[8,4,"extra"],[5,18,"extra"],[2,32,"extra"],[7,9,"extra"],[4,23,"extra"],[6,14,"extra"],[3,28,"gauge44"],[8,5,"gauge44"],[5,19,"gauge44"],[2,33,"gauge44"],[7,10,"gauge44"],[4,24,"gauge44"],[6,15,"gauge44"],[3,29,"gauge44"],[8,6,"gauge44"],[5,20,"gauge44"],[2,34,"gauge44"],[7,11,"gauge44"],[4,25,"gauge44"],[6,16,"gauge44"],[3,30,"gauge44"],[8,7,"gauge44"],[5,21,"gauge44"],[2,35,"gauge44"],[7,12,"gauge44"],[4,26,"gauge44"],[6,17,"gauge44"],[3,31,"gauge44"],[8,8,"gauge44"],[5,22,"gauge44"],[2,36,"gauge44"],[7,13,"gauge44"],[4,27,"gauge44"],[6,18,"gauge44"],[3,32,"gauge44"],[8,9,"gauge44"],[5,23,"gauge44"],[7,14,"gauge44"],[4,28,"gauge44"],[6,19,"gauge44"],[3,33,"gauge44"],[8,10,"gauge44"],[5,24,"gauge44"],[7,15,"gauge44"],[4,29,"gauge44"],[6,20,"gauge44"],[3,34,"gauge44"],[8,11,"gauge44"],[5,25,"gauge44"],[7,16,"gauge44"],[4,30,"gauge44"],[6,21,"gauge44"],[3,35,"gauge44"],[8,12,"gauge44"],[5,26,"gauge44"],[7,17,"gauge44"],[4,31,"gauge44"],[6,22,"gauge44"],[3,36,"gauge44"],[8,13,"gauge44"],[5,27,"gauge44"],[7,18,"gauge44"],[4,32,"gauge44"],[6,23,"gauge44"],[8,14,"gauge44"],[5,28,"gauge44"],[7,19,"gauge44"],[4,33,"gauge44"],[6,24,"gauge44"],[8,15,"gauge44"],[5,29,"gauge44"],[7,20,"gauge44"],[4,34,"gauge44"],[6,25,"gauge44"],[8,16,"gauge44"],[5,30,"gauge44"],[7,21,"gauge44"],[4,35,"gauge44"],[6,26,"gauge44"],[8,17,"gauge44"],[5,31,"gauge44"],[7,22,"gauge44"],[4,36,"gauge44"],[6,27,"gauge44"],[8,18,"gauge44"],[5,32,"gauge44"],[7,23,"gauge44"],[6,28,"gauge44"],[8,19,"gauge44"],[5,33,"gauge44"],[7,24,"gauge44"],[6,29,"gauge44"],[8,20,"gauge44"],[5,34,"gauge44"],[7,25,"gauge44"],[6,30,"gauge44"],[8,21,"gauge44"],[5,35,"gauge44"],[7,26,"gauge44"],[6,31,"gauge44"],[8,22,"gauge44"],[5,36,"gauge44"],[7,27,"gauge44"],[6,32,"gauge44"],[8,23,"gauge44"],[7,28,"gauge44"],[6,33,"gauge44"],[8,24,"gauge44"],[7,29,"gauge44"],[6,34,"gauge44"],[8,25,"gauge44"],[7,30,"gauge44"],[6,35,"gauge44"],[8,26,"gauge44"],[7,31,"gauge44"],[6,36,"gauge44"],[8,27,"gauge44"],[7,32,"gauge44"],[8,28,"gauge44"],[7,33,"gauge44"],[8,29,"gauge44"],[7,34,"gauge4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\ No newline at end of file
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new file mode 100644
index 0000000000..2a7f9f1ed2
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diff --git a/research/shared-kernel-pair-concentration/source-inputs/PROFILE.json b/research/shared-kernel-pair-concentration/source-inputs/PROFILE.json
new file mode 100644
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diff --git a/research/shared-kernel-pair-concentration/source-inputs/PROVIDERS.json b/research/shared-kernel-pair-concentration/source-inputs/PROVIDERS.json
new file mode 100644
index 0000000000..39998c1f3c
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diff --git a/research/shared-kernel-pair-concentration/source-inputs/sources/PR2833-NOTICE b/research/shared-kernel-pair-concentration/source-inputs/sources/PR2833-NOTICE
new file mode 100644
index 0000000000..46411b80b2
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/source-inputs/sources/PR2833-NOTICE
@@ -0,0 +1,10 @@
+Anticipatory dirty borrowing: PR2226 (Cinna Davis / 1337isnot1337, with substantial OpenAI Codex assistance) is credited first. Its alias rule, changed-reference K_G handoffs, initial compensation and exact free-operator replay (vendored under new/code/borrow/vendor, see new/code/borrow/NOTICE-PR2226.md) are applied here to the T74 pivot-566+554 words; the native lowering, window-exact owner fill and independent audit of the borrow words are new in this package. Bootstrap carried-cutoff repair: PR1956 (Josie Elliston); Lemma G label/adapter checks and X/Y/Z mutants: PR1964 (thakrarsagar), extended here with borrow warp/zero-buffer controls.
+
+New research prepared by Rohan Arun with substantial OpenAI Codex assistance. Apache-2.0. Parent words and build recipe method derive from Jeremy Kothe PR1274 and Rohan Arun PR1218, with lineage credited in README.md. All inherited mathematical qualifications are retained.
+Additional pivot555 and567 composition by Rohan Arun with substantial OpenAI Codex assistance.
+
+T74 exact-fill owner construction by Rohan Arun with substantial OpenAI Codex assistance.
+
+PR1377 grid refinement credited to Jeremy Kothe. Outer witness refinement by Rohan Arun with OpenAI Codex assistance; construction unchanged.
+
+Pivot-566 kernel, words, edits, rebuild.py and rebind.py: PR1625 (mdumitrean). Endpoint/outer-witness stacking, fine_cache.py and oracle stage by jeremykothe2 with oh-my-pi assistance.
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diff --git a/research/shared-kernel-pair-concentration/source-inputs/sources/PR2839-CREDITS.md b/research/shared-kernel-pair-concentration/source-inputs/sources/PR2839-CREDITS.md
new file mode 100644
index 0000000000..f9775c75c6
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/source-inputs/sources/PR2839-CREDITS.md
@@ -0,0 +1,67 @@
+# Attribution and overlap
+
+This derivative retains PR2802's actual native words and uses a new source-bound
+application of elementary owner-block norm accounting to the precision invoice.
+The T114 gain has a new checked literal owner allocation and complete
+admission. It does not claim a new general tensor-isomorphism identity, a first
+TI application to multiplication, or an improvement from covariance alone.
+
+## Direct native and allocation ancestry
+
+Marius-Paul Dumitrean's [PR2802](https://github.com/CrocSwap/integer-mult-bounds/pull/2802),
+head `17b2ee6ef3cf1468e78a6267f0ecbc9a0e6f60dd`, supplies the retained retired7
+native words, frame refits and restoration; its NOTICE records substantial
+Anthropic Claude/Claude Code assistance. Tekalign's PR2751 supplies joint
+twelve-source recovery. PR2766 and PR2733 contribute frame-route/refit work;
+Philippe Van Velzen's PR2679 contributes pre-life hosting and retired-lender
+aliases; Mason Hale's PR2696 contributes the assignment; zxv's PR2530 supplies
+source-partner loans; Jeremy Kothe's PR2588 supplies helper-label exchange;
+Cinna Davis's PR2226 supplies anticipatory dirty borrowing. Their exact notices
+and licenses remain authoritative.
+
+[PR2824](https://github.com/CrocSwap/integer-mult-bounds/pull/2824), by Dugongue,
+is the preceding checked T94 tail-dilution construction. The succeeding admitted
+T104 allocation and its authenticated native receipts are direct predecessors.
+The native words and paid local mechanism are inherited; replica dilution does
+not earn credit for a new word construction. Existing Rohan Arun and selected
+icekylinx/source-frame/compiler lineage remains credited by retained notices.
+
+## Earlier tensor, gauge and response mechanisms
+
+| Source | Author | Relevant earlier contribution |
+|---|---|---|
+| [PR471](https://github.com/CrocSwap/integer-mult-bounds/pull/471) | Dugongue | Full-nine-axis two-sided monomial normalization, arbitrary dirty endpoints and restored same-owner spectators. |
+| [PR476](https://github.com/CrocSwap/integer-mult-bounds/pull/476), [PR478](https://github.com/CrocSwap/integer-mult-bounds/pull/478) | Dugongue | Target transvections and interval correction/recovery, including overlapping factors. |
+| [PR483](https://github.com/CrocSwap/integer-mult-bounds/pull/483) | Dugongue | Simultaneous response-packet cancellation and nested donor flags. |
+| [PR492](https://github.com/CrocSwap/integer-mult-bounds/pull/492) | Dugongue | Equal nonzero-response relocation and stage-conditioned providers. |
+| [PR498](https://github.com/CrocSwap/integer-mult-bounds/pull/498) | Dugongue | Rational-span intersections and paired rational whole-owner routing. |
+| [PR508](https://github.com/CrocSwap/integer-mult-bounds/pull/508) | Dugongue | Joint gauge collapse; shared maxima require a complete reconstructed invoice. |
+| [PR537](https://github.com/CrocSwap/integer-mult-bounds/pull/537) | Dugongue | Higher-dimensional response spaces, rank32 saturation, observational rewriting and contextual registry gluing. |
+| [PR556](https://github.com/CrocSwap/integer-mult-bounds/pull/556) | Dugongue | Exact directed-cut frame optimization and eight costed structural transfers. |
+| [PR563](https://github.com/CrocSwap/integer-mult-bounds/pull/563) | Dugongue | Contextual provider selection, partial-group penalties and finite pooling. |
+| [PR2742](https://github.com/CrocSwap/integer-mult-bounds/pull/2742) | Jose Manuel (`jmbarrancoml`) | Actual native dirty-reader covariance, dyadic helper chart and phase-correct monomials; eight rank-eight descents remain. |
+
+PR2742 records substantial OpenAI Codex assistance and credits ywz65/PR2491 for
+the full dirty reader, signed data permutation and framed interpretation; Ross
+Richardson/PR2500 for the dyadic chart and typed cost audit; Cinna Davis/PR1391
+and PR1410 for order-four echo; Aaron Wang (`navinor`)/PR2595 for phase windows;
+and Ali Romman/PR1719 for the Gaussian-dyadic compiler/interpreter. An unsigned
+ERASE transport rule does not apply automatically to its mixed helper chart.
+
+PR2341 (bitplane), PR2378 (AAAmirinu) and PR2422 (bitplane) provide earlier
+conditional whole-array tensor/monomial semantics. Their retained credits include
+Jose Manuel, Gareth Davidson, AAAmirinu, DreamingOfClouds and Lemma G contributors,
+plus Mathlib. These interfaces do not by themselves discharge the full physical
+compiler. Relevant older R715 lineage also includes DreamingOfClouds/PR463,
+Rohan Arun/PR467/470 and chafreaky/PR458/472/502.
+
+## This review's scope
+
+The current-source endpoint/block audit, finite allocations, directed arithmetic
+and new Mathlib energy lemmas are distinct from inherited native evidence.
+Authenticated reuse must be described explicitly. Current reader symmetries and
+failed bounded gauge searches are research evidence, not additional kappa gains.
+The finite-group and direct-sum mathematics is classical; no global novelty
+claim is made. [FRONTIER.md](FRONTIER.md) records the bounded source coverage and
+missing historical records. Exact source hashes and original notices take
+precedence over summaries or mutable PR titles.
diff --git a/research/shared-kernel-pair-concentration/source-inputs/sources/PR2839-LICENSE b/research/shared-kernel-pair-concentration/source-inputs/sources/PR2839-LICENSE
new file mode 100644
index 0000000000..261eeb9e9f
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/source-inputs/sources/PR2839-LICENSE
@@ -0,0 +1,201 @@
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
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+      institute patent litigation against any entity (including a
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+
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+      any Contribution intentionally submitted for inclusion in the Work
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+      the terms of any separate license agreement you may have executed
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+   6. Trademarks. This License does not grant permission to use the trade
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diff --git a/research/shared-kernel-pair-concentration/source-inputs/sources/PR2843-LICENSE b/research/shared-kernel-pair-concentration/source-inputs/sources/PR2843-LICENSE
new file mode 100644
index 0000000000..261eeb9e9f
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/source-inputs/sources/PR2843-LICENSE
@@ -0,0 +1,201 @@
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
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+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
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+      form, that is based on (or derived from) the Work and for which the
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+      "Contribution" shall mean any work of authorship, including
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+      to that Work or Derivative Works thereof, that is intentionally
+      submitted to Licensor for inclusion in the Work by the copyright owner
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+      the copyright owner. For the purposes of this definition, "submitted"
+      means any form of electronic, verbal, or written communication sent
+      to the Licensor or its representatives, including but not limited to
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+      "Contributor" shall mean Licensor and any individual or Legal Entity
+      on behalf of whom a Contribution has been received by Licensor and
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+      this License, each Contributor hereby grants to You a perpetual,
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+      this License, each Contributor hereby grants to You a perpetual,
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+      use, offer to sell, sell, import, and otherwise transfer the Work,
+      where such license applies only to those patent claims licensable
+      by such Contributor that are necessarily infringed by their
+      Contribution(s) alone or by combination of their Contribution(s)
+      with the Work to which such Contribution(s) was submitted. If You
+      institute patent litigation against any entity (including a
+      cross-claim or counterclaim in a lawsuit) alleging that the Work
+      or a Contribution incorporated within the Work constitutes direct
+      or contributory patent infringement, then any patent licenses
+      granted to You under this License for that Work shall terminate
+      as of the date such litigation is filed.
+
+   4. Redistribution. You may reproduce and distribute copies of the
+      Work or Derivative Works thereof in any medium, with or without
+      modifications, and in Source or Object form, provided that You
+      meet the following conditions:
+
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+          Derivative Works a copy of this License; and
+
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+          stating that You changed the files; and
+
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+          notices within Derivative Works that You distribute, alongside
+          or as an addendum to the NOTICE text from the Work, provided
+          that such additional attribution notices cannot be construed
+          as modifying the License.
+
+      You may add Your own copyright statement to Your modifications and
+      may provide additional or different license terms and conditions
+      for use, reproduction, or distribution of Your modifications, or
+      for any such Derivative Works as a whole, provided Your use,
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+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
+      with Licensor regarding such Contributions.
+
+   6. Trademarks. This License does not grant permission to use the trade
+      names, trademarks, service marks, or product names of the Licensor,
+      except as required for reasonable and customary use in describing the
+      origin of the Work and reproducing the content of the NOTICE file.
+
+   7. Disclaimer of Warranty. Unless required by applicable law or
+      agreed to in writing, Licensor provides the Work (and each
+      Contributor provides its Contributions) on an "AS IS" BASIS,
+      WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+      implied, including, without limitation, any warranties or conditions
+      of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+      PARTICULAR PURPOSE. You are solely responsible for determining the
+      appropriateness of using or redistributing the Work and assume any
+      risks associated with Your exercise of permissions under this License.
+
+   8. Limitation of Liability. In no event and under no legal theory,
+      whether in tort (including negligence), contract, or otherwise,
+      unless required by applicable law (such as deliberate and grossly
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+      liable to You for damages, including any direct, indirect, special,
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+      Work (including but not limited to damages for loss of goodwill,
+      work stoppage, computer failure or malfunction, or any and all
+      other commercial damages or losses), even if such Contributor
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+
+   9. Accepting Warranty or Additional Liability. While redistributing
+      the Work or Derivative Works thereof, You may choose to offer,
+      and charge a fee for, acceptance of support, warranty, indemnity,
+      or other liability obligations and/or rights consistent with this
+      License. However, in accepting such obligations, You may act only
+      on Your own behalf and on Your sole responsibility, not on behalf
+      of any other Contributor, and only if You agree to indemnify,
+      defend, and hold each Contributor harmless for any liability
+      incurred by, or claims asserted against, such Contributor by reason
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+   END OF TERMS AND CONDITIONS
+
+   APPENDIX: How to apply the Apache License to your work.
+
+      To apply the Apache License to your work, attach the following
+      boilerplate notice, with the fields enclosed by brackets "[]"
+      replaced with your own identifying information. (Don't include
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+      file or class name and description of purpose be included on the
+      same "printed page" as the copyright notice for easier
+      identification within third-party archives.
+
+   Copyright [yyyy] [name of copyright owner]
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
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diff --git a/research/shared-kernel-pair-concentration/source-inputs/sources/PR2843-NOTICE b/research/shared-kernel-pair-concentration/source-inputs/sources/PR2843-NOTICE
new file mode 100644
index 0000000000..df85dcfd9c
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/source-inputs/sources/PR2843-NOTICE
@@ -0,0 +1 @@
+Independent algorithms: Dugongue PR2827, with retained Tekalign PR2751 geometry and Mason Hale/PR2696 literal replay lineage. PR2833 dirt-entry construction and all source notices retain their credits. Paths/pins/comparator derivative prepared with substantial OpenAI Codex assistance. See source/*NOTICE and exact DERIVATION.json.
diff --git a/research/shared-kernel-pair-concentration/verify.py b/research/shared-kernel-pair-concentration/verify.py
new file mode 100644
index 0000000000..4b4cd408a1
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/verify.py
@@ -0,0 +1,36 @@
+#!/usr/bin/env python3
+# SPDX-License-Identifier: Apache-2.0
+"""Portable bounded generator, source, owner and exact-moment checks.
+Does not replace reproduce.py's full native/admission/outer replay.
+"""
+import gzip,hashlib,json,os,subprocess,sys,tempfile
+from pathlib import Path
+HERE=Path(__file__).resolve().parent
+
+def need(ok,s):
+ if not ok:raise ValueError(s)
+def read(p):
+ b=p.read_bytes();return json.loads(gzip.decompress(b) if p.suffix=='.gz' else b)
+def main():
+ need(not sys.flags.optimize,'assertions enabled')
+ manifest=read(HERE/'PACKAGE-MANIFEST.json')
+ actual={p.relative_to(HERE).as_posix():hashlib.sha256(p.read_bytes()).hexdigest() for p in HERE.rglob('*') if p.is_file() and p!=HERE/'PACKAGE-MANIFEST.json'}
+ need(actual==manifest,'complete package manifest')
+ source=HERE/'source-inputs';pins=read(HERE/'DEPENDENCIES.json')['pr2857_files']
+ for p in source.rglob('*'):
+  if p.is_file():need(hashlib.sha256(p.read_bytes()).hexdigest()==pins[p.relative_to(source).as_posix()],'pinned source '+p.name)
+ with tempfile.TemporaryDirectory(prefix='pair concentration ') as td:
+  work=Path(td);candidate=work/'candidate';env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1',PYTHONINTMAXSTRDIGITS='0');env.pop('PYTHONOPTIMIZE',None)
+  def run(args):subprocess.run([sys.executable,'-B']+[str(x) for x in args],env=env,check=True)
+  run([HERE/'generate.py',source,candidate])
+  for name in ['FILL.json.gz','ORDER.json','DISPATCH.json','PROVIDERS.json','PROFILE.json','CONSTRUCTION.json']:need(read(candidate/name)==read(HERE/name),'full generated payload '+name)
+  run([HERE/'independent.py',source,candidate,'--out',work/'owners.json'])
+  run([HERE/'exact_moment.py',candidate,source,'--out',work/'moment.json'])
+  moment=read(work/'moment.json');claim=read(HERE/'CLAIM.json');need(moment['kappa_rational']==claim['kappa'] and moment['gain_rational']==claim['gain'],'frozen exact claim')
+  # A corrupted source must be rejected by the generator's fixed source pins.
+  import shutil
+  corrupt=work/'corrupt';shutil.copytree(source,corrupt);p=corrupt/'FILL.json.gz';p.write_bytes(p.read_bytes()+b'corrupt')
+  r=subprocess.run([sys.executable,'-B',str(HERE/'generate.py'),str(corrupt),str(work/'bad-output')],env=env,stdout=subprocess.PIPE,stderr=subprocess.PIPE)
+  need(r.returncode!=0 and b'source FILL.json.gz' in r.stderr,'source mutation rejected')
+ print('PASS_BOUNDED_PAIR_CONCENTRATION_WITH_NEGATIVE_CONTROLS')
+if __name__=='__main__':main()
diff --git a/research/shared-kernel-pair-concentration/verify_release_binding.py b/research/shared-kernel-pair-concentration/verify_release_binding.py
new file mode 100644
index 0000000000..ba25afc3a2
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/verify_release_binding.py
@@ -0,0 +1,20 @@
+#!/usr/bin/env python3
+# SPDX-License-Identifier: Apache-2.0
+"""Bind the literal profile, exact independent comparison and full strict release."""
+import argparse,hashlib,json
+from fractions import Fraction as Q
+from pathlib import Path
+HERE=Path(__file__).resolve().parent
+def need(ok,s):
+ if not ok:raise ValueError(s)
+def read(p):return json.loads(p.read_text())
+def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest()
+def main():
+ ap=argparse.ArgumentParser();ap.add_argument('--admission',type=Path,required=True);ap.add_argument('--moment',type=Path,required=True);ap.add_argument('--baseline',type=Path,required=True);a=ap.parse_args();result=read(a.admission/'RESULT.json');release=read(a.admission/'release/RELEASE-RECEIPT.json');moment=read(a.moment);base=read(a.baseline);claim=read(HERE/'CLAIM.json')
+ need(result['status']=='PASS_REPLICA_ORDER_FILL_DERIVATIVE_COMPLETE_RELEASE' and release['status']=='PASS_RELEASE','full release');need(base['status']=='PASS_SHARED_KERNEL_PORTABLE_COMPLETE_REPLAY','reproduced baseline')
+ k=Q(moment['kappa_rational']);b=Q(base['kappa']);need(k==Q(result['kappa'])==Q(release['kappa_decimal'])==Q(claim['kappa']),'exact headline binding');need(k>b and k-b==Q(moment['gain_rational'])==Q(claim['gain']),'exact strict current-baseline improvement')
+ need(Q(moment['baseline_rational'])==b,'right baseline');need(result['release_receipt_sha256']==sha(a.admission/'release/RELEASE-RECEIPT.json'),'release receipt SHA');need(release['manifest_sha256']==sha(a.admission/'package/MANIFEST.json'),'package manifest SHA')
+ package=a.admission/'package';need({p.relative_to(package).as_posix():sha(p) for p in package.rglob('*') if p.is_file() and p!=package/'MANIFEST.json'}==read(package/'MANIFEST.json'),'complete final source tree')
+ spec=read(package/'new/SPEC.json');need(Q(spec['expected']['complex_lower'])==Q(moment['complex_lower']),'exact endpoint');need({int(r):n for r,n in spec['expected']['global_profile'].items()}=={int(r):n for r,n in moment['profile'].items()},'full actual profile');need(spec['expected']['live']==66304 and spec['expected']['physical']==66794,'live and physical stock')
+ print('PASS_EXACT_CURRENT_BASELINE_AND_COMPLETE_RELEASE_BINDING',str(k),'gain',str(k-b))
+if __name__=='__main__':main()

From f40b1e92c15018af96293ee830e0cb0fd03db2ce Mon Sep 17 00:00:00 2001
From: digitalis-p <157422123+digitalis-p@users.noreply.github.com>
Date: Thu, 15 Oct 2026 23:11:10 -0600
Subject: [PATCH 2/2] Label paired concentration as superseded by pending T185
 proposal

---
 .../FRONTIER.json                             |  4 ++-
 .../HANDOFF.md                                | 33 +++++++++++++------
 .../PACKAGE-MANIFEST.json                     | 29 ++++++++--------
 .../PUBLICATION-REFRESH.json                  | 22 +++++++++++++
 .../README.md                                 | 27 ++++++++++-----
 .../TASK.json                                 | 11 ++++---
 6 files changed, 87 insertions(+), 39 deletions(-)
 create mode 100644 research/shared-kernel-pair-concentration/PUBLICATION-REFRESH.json

diff --git a/research/shared-kernel-pair-concentration/FRONTIER.json b/research/shared-kernel-pair-concentration/FRONTIER.json
index f3e3af5577..b8c80d8d9e 100644
--- a/research/shared-kernel-pair-concentration/FRONTIER.json
+++ b/research/shared-kernel-pair-concentration/FRONTIER.json
@@ -78,5 +78,7 @@
   ],
   "coverage_limit": "All listed open PR bodies/titles/exact heads fetched and screened, but reviews/checks were examined for leading candidates and recent merged work, not exhaustively for every open PR. This is the strongest comparable construction identified in a bounded live census, not a certified global priority claim.",
   "targets_excluded": "Local word coverage caps, fractional fixed-inventory relaxations, bit-supplier savings, Fourier exponents, runtime timings, and constructions with unpriced interfaces were not treated as multiplication kappa records.",
-  "guidance_refresh": "Initial 130a7ce63, intermediate a5b3fc6d9, final d311a18c6; selected record and applicable scientific guidance unchanged. Final required suites were rerun."
+  "guidance_refresh": "Initial 130a7ce63, intermediate a5b3fc6d9, final d311a18c6; selected record and applicable scientific guidance unchanged. Final required suites were rerun.",
+  "publication_refresh": "PUBLICATION-REFRESH.json",
+  "publication_status": "Verified pinned-baseline gain; superseded in reported kappa by pending PR2863 at 34328b1d5e5bebac62d5cabec993dfbfd7b2123f; no current-record claim."
 }
diff --git a/research/shared-kernel-pair-concentration/HANDOFF.md b/research/shared-kernel-pair-concentration/HANDOFF.md
index 090bd290cc..32dec384e9 100644
--- a/research/shared-kernel-pair-concentration/HANDOFF.md
+++ b/research/shared-kernel-pair-concentration/HANDOFF.md
@@ -1,5 +1,15 @@
 # Research handoff — 2026-10-16
 
+## Publication refresh
+
+At the 05:08 UTC publication refresh, pending PR2863 at
+`34328b1d5e5bebac62d5cabec993dfbfd7b2123f` reported the stronger T185 saving
+`0.001720100805416885927944 - 10^-46 - 10^-70` and a fixed-inventory packing
+optimum. Its body, pinned README, review list and exact-head check list were
+inspected; its complete certificate was not replayed here. This T74 package
+is a verified improvement over its pinned baseline, superseded in reported
+kappa, with no current-record claim. See `PUBLICATION-REFRESH.json`.
+
 ## Best verified result
 
 Conditional multiplication exponent saving:
@@ -91,16 +101,19 @@ paths, different orders, families and local words are outside that negative resu
 
 ## Next work and publication
 
-No additional large packing search is justified by this session. A bounded
-follow-up can inspect the remaining tight relaxation patterns and prove one
-specific chronological transfer, or address a named all-size obligation in
-PROOF.md. Refresh GitHub first; new proposals can supersede small gains quickly.
-
-Publishing through the user's own fork was unavailable: the connected GitHub
-account is `digitalis-p`, its `integer-mult-bounds` fork lookup returned 404,
-no CLI credential helper/gh publishing route was configured, and the connector
-exposed no fork-creation operation. The patch and PR description are ready for
-submission; SUBMIT.md gives exact commands. Nothing was merged or posted.
+No additional large packing search is justified by this session. Independently
+reproduce PR2863 and its claimed fixed-inventory optimum before reopening that
+gap, or address a named all-size obligation in PROOF.md. Refresh GitHub first.
+
+The initial packaging lacked an available fork. Browser authentication later
+succeeded, `digitalis-p/integer-mult-bounds` was created, and the user approved
+adding that public fork to the existing GitHub app's selected repositories.
+The scientific package was uploaded on `research/two-swap-exponent-20261016`.
+Remote commit `b39aa97a6f4e6f784ebbde0d5f7dd73a3d70952c` has exactly the frozen
+local scientific tree `2921cc364eabb7f9ed0d24830cbd6ca45f437103` and original
+parent `d311a18c6061af67d0aa35cbeced605b8b7472ed`. This documentation refresh
+labels the intervening stronger proposal before opening the review-ready PR.
+No result is merged or claimed maintainer-accepted.
 
 All inherited all-size compiler, common-label/mutable-source, hosting,
 precision/tape, exact-recovery, analytic-transfer, corrected recurrence and
diff --git a/research/shared-kernel-pair-concentration/PACKAGE-MANIFEST.json b/research/shared-kernel-pair-concentration/PACKAGE-MANIFEST.json
index 3d038bbfe6..df52691d04 100644
--- a/research/shared-kernel-pair-concentration/PACKAGE-MANIFEST.json
+++ b/research/shared-kernel-pair-concentration/PACKAGE-MANIFEST.json
@@ -7,8 +7,8 @@
   "EXACT-MOMENT.json": "57ccd90c9e265c21d2b95fcb4ef8410e1248e6d76b4ba0bcbbf72189ec5c7271",
   "EXPERIMENTS.md": "cba7a841c56b63c13735c7ec9b7f6dd15f6a1537a45f99d9e2f759cb2306dbe0",
   "FILL.json.gz": "1c79800e68c35c35aade277f54da8dda54c843e40376171c597e1ee675925840",
-  "FRONTIER.json": "edfac86cc907ada315e1886dc70280473c49de4f5b2d9e0b994d0fbb2fbfd7cb",
-  "HANDOFF.md": "82b19b72f740bae3ef7f7ff07f134c4d09bfcb1e756fa7e5a14c5c1cef7ad877",
+  "FRONTIER.json": "d1dfe6b37eb645b9de7f9f37ee4873feb89c9981bec2e9e6b0c0a5c6a73ccc8c",
+  "HANDOFF.md": "3dc4d3cdc03dbdd78f442167908736bca0bfe9fc2030f41a94e201ef1f003776",
   "INDEPENDENT-OWNERS.json": "cfd187a07f8e09470b75d2d107d9365ffd753e541fdc816e6b9c504b7cd4ac2f",
   "LICENSE": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4",
   "NOTICE": "63e39c215eecec07f0eae6fd76ef69ec886ecefa0175e80f0526c9af83dc5f9b",
@@ -16,10 +16,11 @@
   "PROFILE.json": "be24b8dc700c67d39e37fd2b81a753487ab39d2806185e81bc00e74a57b4a279",
   "PROOF.md": "79b7ae54b9c0e303870867745062a5ae98afdd1b11ef00bbe3378cedfac96dfc",
   "PROVIDERS.json": "aebb3d2bb894161fd5f2bff11425326a9e27e4a4c43ab02eeee4d0e0745cceaf",
-  "README.md": "eb75da56bbae72346ee86644cdfc6a0331ba6541344f5de7b8bf068842fb749e",
+  "PUBLICATION-REFRESH.json": "c39570ad164d2dcf4e9b075038ca8de011749f656c7651ec27cacc04e49c0316",
+  "README.md": "a129a08e0e3db1cf9e777ab3ad0759302c881bcde2fb9899f87aae2f39513b3f",
   "REPOSITORY-CHECKS.md": "56590d65acf330e06bed6249f8fbaaea27e906650e1de833e819cd123980ec89",
   "SOURCES.json": "79817ebf08bd0d0e3012d7a99261cd52d4a696dada4046d4581dbb031b4acd9c",
-  "TASK.json": "3ece05a32b8e15b969de348c4dcf6cb0bf9ef9239e13126aa44ee29707a96e67",
+  "TASK.json": "6c0d6340406b5d59d8c604bb31539be1d85778824286980f3d0a5f887477bc43",
   "VERIFY.json": "a5fc9b826041c52610e7d53fde73d41c1d9b3386c93b3a97526634d497722828",
   "evidence/ACTUAL-CONTROLS.json": "f5785ae5cd59aa1eb7ab6d22ee887f8cde981030bc2976e99233c7e25a357856",
   "evidence/baseline-PR2853-release.json": "2305ec24b936228e2055fe3a53d78ae611828188e89793cf8a8e426f5bb6f7be",
@@ -28,6 +29,7 @@
   "evidence/baseline-pinned/candidate/RESULT.json": "718ba2b30ef796be22263df278f064abb8ce4997ac8835747f15915d11aeabb7",
   "evidence/baseline-pinned/candidate/RUNTIME-PATCHES.json": "8f0926f99d79f389918a0491fe09b32273e5f31d363d7208026661ec82f6f691",
   "evidence/baseline-pinned/candidate/STAGES.json": "f77d9c85b8371fb0248febabaacd2aee21b0fef92b78a054647b938bead293a6",
+  "evidence/baseline-pinned/candidate/discovery.log": "2a3d3dd0eba4b8c4ebdcdec46ccf239db633ed0ef584066508d44ad5c855928f",
   "evidence/baseline-pinned/candidate/discovery/ASSEMBLY.json": "de6f51601330f08125428588e459e7b574f3159c4ea7b6db668e0967b11d17ef",
   "evidence/baseline-pinned/candidate/discovery/INDEPENDENT.json": "96049efc9f2ec459067d59d328db5f2ef7627c9eb34a488aca01c58c2d7a637a",
   "evidence/baseline-pinned/candidate/discovery/RESULT.json": "a20812c37c2635cc09dc91622fdf5c3bd6f99910c6b712c0221af0d7236e73f1",
@@ -51,12 +53,12 @@
   "evidence/baseline-pinned/candidate/discovery/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa",
   "evidence/baseline-pinned/candidate/discovery/runtime/construction/leaver/PIVOT-SWAP-k8.json": "3ef7acf0cf67442a532f25b53d5fbeda76d3a84524118df8e003ca69b5cac0bb",
   "evidence/baseline-pinned/candidate/discovery/runtime/data/SPEC.json": "53719400107d610c19bdd887fb881a1d723d995af9375c8af7337f387b105d88",
-  "evidence/baseline-pinned/candidate/discovery.log": "2a3d3dd0eba4b8c4ebdcdec46ccf239db633ed0ef584066508d44ad5c855928f",
   "evidence/baseline-pinned/candidate/outer-check_ledger.py.log": "5f160f2b35c61257aa5215401e98acff3caeea433117aa3c96f552abe19b9a40",
   "evidence/baseline-pinned/candidate/outer-independent_check.py.log": "15a707f5b4193f3314b6cd6e2933ed24c26253e48ed371c5a3b12ade36ca85de",
   "evidence/baseline-pinned/candidate/owners.log": "c428a9572a1f42f227c5d7f1bf9660bab5c2384466536043640504c46aadb6b6",
   "evidence/baseline-pinned/candidate/parent-lift.log": "ea74ad55229acb8d6979bf7307e2875049dbb18bc4a9309719cb7011cc36dcec",
   "evidence/baseline-pinned/candidate/rebind.log": "0b1693d2c13addcf8b2e3004887ca35bbf20cba5e4f3497f38643740fc6fe7a7",
+  "evidence/baseline-pinned/candidate/release.log": "e980a17f9cd3ea9669474df93714a80a0d3a573426641efb379dba0d1915e6cc",
   "evidence/baseline-pinned/candidate/release/RELEASE-RECEIPT.json": "e1399852cdbb3d6e14c58cc4234ae40788016a6e22b2770da07bc30a05a7d7f7",
   "evidence/baseline-pinned/candidate/release/outer-tmp/CLAIM.json": "1c101dc2d56d4424c5c7972b87186665469efdefb3680def14df7b0f8fbdb04b",
   "evidence/baseline-pinned/candidate/release/outer-tmp/fine-padding.json": "4bf12a7658eeeaa813bee04bb9ffc419c95d0b0a9c485f8003097060840ab731",
@@ -66,6 +68,7 @@
   "evidence/baseline-pinned/candidate/release/outer-tmp/outer/LEDGER.json": "7d6f69a25f18725f0ffbea3b43753f134ca2f9c67a19501b17f50b4a7a332027",
   "evidence/baseline-pinned/candidate/release/outer-tmp/outer/OUTER-CLAIM.json": "d8b0dd1fc712d9f4e6f0fe09dd53e996929f6d9b67c63dce8c15a011c04bf3f1",
   "evidence/baseline-pinned/candidate/release/outer.log": "670f60ee3ecc7e2d7fc4b23b468d4cdb8cfab9edaf252cd2410c1cabcb0318dc",
+  "evidence/baseline-pinned/candidate/release/verify.log": "9ab807c385584ca9bc4d62ccd8c2ab04f1c8d9df443e706e6522d54a69d29f51",
   "evidence/baseline-pinned/candidate/release/verify/AUDIT-LOCAL-566-base.json": "41a0645491d4e7a17af5d271d90889ef1b6b8ef28144f2ca8fc3e55cdf16b6ee",
   "evidence/baseline-pinned/candidate/release/verify/AUDIT-LOCAL-566-extra.json": "5c6456c99a22ef6c755822f529a6761b9ab819c679bdbc0568d41391ecb29da4",
   "evidence/baseline-pinned/candidate/release/verify/GEOMETRY-CONTROLS.json": "13a50b2f2448931ca302a55e5839c082f651331f20402448fe6ff29d1eb2f481",
@@ -100,6 +103,7 @@
   "evidence/baseline-pinned/candidate/release/verify/rebuild-borrow-words.log": "b082260b7d87cc4040fc25c2472b9150a1bb1bf719e45c8f2e09c7fc06611688",
   "evidence/baseline-pinned/candidate/release/verify/rebuild-words-566.log": "dcbcbeda80423df29ef008bfac58409378f1fd0a3b9b23fc31ab9f03659dd86f",
   "evidence/baseline-pinned/candidate/release/verify/reconstruct-owners.log": "c428a9572a1f42f227c5d7f1bf9660bab5c2384466536043640504c46aadb6b6",
+  "evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review.log": "3dc6eb8940cf8a4b993f80129c98b6c4846ad346ccf773a78af225cff3339cc3",
   "evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/FOUR-GROUP-INDEPENDENT-REVIEW.json": "773c2d03cd45de27363f0e27628dad0cb6ad5a0cbcd4831ef55705ed51e8104c",
   "evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-base.json": "82dfc660314dbdd337ca8c4892ad275311b903383ef606adfee34aa1ef290b59",
   "evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-base.log": "2bfae95bdb9cff44e47582516ad2beaa914b3cc43ca1ea283688986222cd357d",
@@ -121,7 +125,7 @@
   "evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/control-extra-wrong_compensation_sign.log": "421ad7ea4efc9172fc667dc0b619f661cf6974446b01907eee29f6c8b085e9ae",
   "evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/control-extra-wrong_kernel_sign.log": "bfa00280072af31eedc19568e11558007d945869afa9bb45475ec400ad8a5030",
   "evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review/control-extra-wrong_start_extra.log": "50a5bad91d4dcd7fbab75c82683ca03fd44db2be8110fff1eccf754f171f37ba",
-  "evidence/baseline-pinned/candidate/release/verify/shared-kernel-independent-review.log": "3dc6eb8940cf8a4b993f80129c98b6c4846ad346ccf773a78af225cff3339cc3",
+  "evidence/baseline-pinned/candidate/release/verify/strict-t74.log": "d0964f1b24a731ee8e1a12fe3819ccf1d0fabb043c66baa004b880d2bf5cff8d",
   "evidence/baseline-pinned/candidate/release/verify/strict/ADMISSION-CONTROLS.json": "14469d0c95a8801d039bf3cc2e738735deb33e071f4706b1cf2d830172eb5062",
   "evidence/baseline-pinned/candidate/release/verify/strict/ASSEMBLY.json": "de6f51601330f08125428588e459e7b574f3159c4ea7b6db668e0967b11d17ef",
   "evidence/baseline-pinned/candidate/release/verify/strict/BIT-CONTROLS.json": "e0adc5d7f3eae3eaf9240f80710b08aabb64383399aa55bf3aa63a3f8950229c",
@@ -148,9 +152,6 @@
   "evidence/baseline-pinned/candidate/release/verify/strict/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa",
   "evidence/baseline-pinned/candidate/release/verify/strict/runtime/construction/leaver/PIVOT-SWAP-k8.json": "3ef7acf0cf67442a532f25b53d5fbeda76d3a84524118df8e003ca69b5cac0bb",
   "evidence/baseline-pinned/candidate/release/verify/strict/runtime/data/SPEC.json": "53719400107d610c19bdd887fb881a1d723d995af9375c8af7337f387b105d88",
-  "evidence/baseline-pinned/candidate/release/verify/strict-t74.log": "d0964f1b24a731ee8e1a12fe3819ccf1d0fabb043c66baa004b880d2bf5cff8d",
-  "evidence/baseline-pinned/candidate/release/verify.log": "9ab807c385584ca9bc4d62ccd8c2ab04f1c8d9df443e706e6522d54a69d29f51",
-  "evidence/baseline-pinned/candidate/release.log": "e980a17f9cd3ea9669474df93714a80a0d3a573426641efb379dba0d1915e6cc",
   "evidence/baseline-pinned/complete-admission.log": "96af884c6eeec6a581d6e60dcb5985a97e6e6870469b5afc117f554ed209ce50",
   "evidence/baseline-pinned/derive-source.log": "f2bbb6462b3f5bb8a6415bb33c0c35355353b13343ddb90961660f7473caa5a2",
   "evidence/baseline-pinned/fresh-current-native.log": "57a95a5df95aa0574b48d59d71a6e5e84d017172e51b8627d8713c52a7134206",
@@ -164,6 +165,7 @@
   "evidence/candidate-admission/RESULT.json": "eff036c2d571c2d75277ab4513bfb4c356084209a5f251da44ea3035e297cd2a",
   "evidence/candidate-admission/RUNTIME-PATCHES.json": "8f0926f99d79f389918a0491fe09b32273e5f31d363d7208026661ec82f6f691",
   "evidence/candidate-admission/STAGES.json": "40d3abd0466bcb0a9054052c39c4deab9ff2e214b8c70f276ee36fc4edba0744",
+  "evidence/candidate-admission/discovery.log": "b9eee8456840134be120e850a1b740ddd1ddcf4a412538334c666ce656f7427a",
   "evidence/candidate-admission/discovery/ASSEMBLY.json": "56938c9773961f4b7cf6b67367b6845bdcf4dbed29351ed4a1f389dad8777feb",
   "evidence/candidate-admission/discovery/INDEPENDENT.json": "f9ce6ba67e24a5af4fb2c9344805de5b77820c476f6168d696f1f9b763cea817",
   "evidence/candidate-admission/discovery/RESULT.json": "ab816a0048ec6554f14ab902aeef0d9147b1b88cb9b33cd6f1316e5cd0113c5d",
@@ -187,12 +189,12 @@
   "evidence/candidate-admission/discovery/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa",
   "evidence/candidate-admission/discovery/runtime/construction/leaver/PIVOT-SWAP-k8.json": "3ef7acf0cf67442a532f25b53d5fbeda76d3a84524118df8e003ca69b5cac0bb",
   "evidence/candidate-admission/discovery/runtime/data/SPEC.json": "2398579cf52c5b4f349f936ea2497dfc1543913e1f8f5c12c02b51c49bd7ffe1",
-  "evidence/candidate-admission/discovery.log": "b9eee8456840134be120e850a1b740ddd1ddcf4a412538334c666ce656f7427a",
   "evidence/candidate-admission/outer-check_ledger.py.log": "841de2e40540b7726625e87ae31f127f874cb952f7eeb348ab3c219068b88ad9",
   "evidence/candidate-admission/outer-independent_check.py.log": "a4f202e82e79aafaa6f65adf270aab65ea8ce5530002e7866d9b7ee2ef34fb4e",
   "evidence/candidate-admission/owners.log": "f5ce15f525b3ab88f106aea3a19f2d17b8e652cd93a36edfc38a8c1bc660752a",
   "evidence/candidate-admission/parent-lift.log": "7b6249a123ca39fae7b7a6339dd9e8ae8777b081f4336418f2cc101704b70644",
   "evidence/candidate-admission/rebind.log": "af1f74e461bf7a97fc1a1160996622ad7ccfb5247bd0d4ba6f7f8f7509ea59e7",
+  "evidence/candidate-admission/release.log": "b8c1f13bb79e1c866d7e66c4f0d91bbb49adfe7cbcea33d5cae2dff9c1f59aa6",
   "evidence/candidate-admission/release/RELEASE-RECEIPT.json": "b0bd7d115bf2753f786870887bc14a2a3f42459761412f350a4802efa336ba71",
   "evidence/candidate-admission/release/outer-tmp/CLAIM.json": "00789625fa5e27027975f971c48651e00f8bcee94f6c0b2dc51bd4cc592a933c",
   "evidence/candidate-admission/release/outer-tmp/fine-padding.json": "4bf12a7658eeeaa813bee04bb9ffc419c95d0b0a9c485f8003097060840ab731",
@@ -202,6 +204,7 @@
   "evidence/candidate-admission/release/outer-tmp/outer/LEDGER.json": "4a2498fae787406e8a734e3b60217c3b33ce8f487b6c0c00fc19ec4c24478b5a",
   "evidence/candidate-admission/release/outer-tmp/outer/OUTER-CLAIM.json": "11ee9815c18fc76b30c09675de265d42bd6d02e281f65f8e5c2147e2579ecfe2",
   "evidence/candidate-admission/release/outer.log": "670f60ee3ecc7e2d7fc4b23b468d4cdb8cfab9edaf252cd2410c1cabcb0318dc",
+  "evidence/candidate-admission/release/verify.log": "f95e7e07f12879ccc259a196f92130546135e83107ffbf7ea0b4f865e943286b",
   "evidence/candidate-admission/release/verify/AUDIT-LOCAL-566-base.json": "97c965e591415b5a7cc2a478e68f897866cbb476e70cbf542a1b61cb66aa76c4",
   "evidence/candidate-admission/release/verify/AUDIT-LOCAL-566-extra.json": "f9e8cbac5011ba730b24ee403c6edd345c99b3a274b89cb936fdca653857235c",
   "evidence/candidate-admission/release/verify/GEOMETRY-CONTROLS.json": "13a50b2f2448931ca302a55e5839c082f651331f20402448fe6ff29d1eb2f481",
@@ -236,6 +239,7 @@
   "evidence/candidate-admission/release/verify/rebuild-borrow-words.log": "7d62ee8072164c2f334b5a7abd20fb6bf57722a4eda27c8ed8c1cb52a121040f",
   "evidence/candidate-admission/release/verify/rebuild-words-566.log": "dcbcbeda80423df29ef008bfac58409378f1fd0a3b9b23fc31ab9f03659dd86f",
   "evidence/candidate-admission/release/verify/reconstruct-owners.log": "f5ce15f525b3ab88f106aea3a19f2d17b8e652cd93a36edfc38a8c1bc660752a",
+  "evidence/candidate-admission/release/verify/shared-kernel-independent-review.log": "3dc6eb8940cf8a4b993f80129c98b6c4846ad346ccf773a78af225cff3339cc3",
   "evidence/candidate-admission/release/verify/shared-kernel-independent-review/FOUR-GROUP-INDEPENDENT-REVIEW.json": "15fff45649af54a66edac6b273742d82f6f320f784c7a2de5cce814f19a97cf6",
   "evidence/candidate-admission/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-base.json": "c43fa05069b12a7b6c06da769f878f529c8c66bd20c205096ad1515c618a83a9",
   "evidence/candidate-admission/release/verify/shared-kernel-independent-review/POSITIVE-AUDIT-base.log": "a7f7752280fe9293a229a5806169a0ba127391ac41b90a234fee9d3796630684",
@@ -257,7 +261,7 @@
   "evidence/candidate-admission/release/verify/shared-kernel-independent-review/control-extra-wrong_compensation_sign.log": "da89b85adedcefe265f0186bb3f543f5b9e0afafe3ced5c07030ad3157489244",
   "evidence/candidate-admission/release/verify/shared-kernel-independent-review/control-extra-wrong_kernel_sign.log": "a1b57423f47346075a1cb9c0b967ff1dad65271de03adb7c36f97271595a9242",
   "evidence/candidate-admission/release/verify/shared-kernel-independent-review/control-extra-wrong_start_extra.log": "ca125209e1f71337b40d7944aa9da1c8f4f023c9fecf34105f4541ed2494d68b",
-  "evidence/candidate-admission/release/verify/shared-kernel-independent-review.log": "3dc6eb8940cf8a4b993f80129c98b6c4846ad346ccf773a78af225cff3339cc3",
+  "evidence/candidate-admission/release/verify/strict-t74.log": "05becea12e7e00e26beac125ba350a1217b8e811e11ef57d63625eb27cd770a0",
   "evidence/candidate-admission/release/verify/strict/ADMISSION-CONTROLS.json": "d1109023f3df9fe5fb599932fa7ad4241f149077be81e333d115b0d82d1fce55",
   "evidence/candidate-admission/release/verify/strict/ASSEMBLY.json": "56938c9773961f4b7cf6b67367b6845bdcf4dbed29351ed4a1f389dad8777feb",
   "evidence/candidate-admission/release/verify/strict/BIT-CONTROLS.json": "4961afe9a74c30f0b4f649469cf20064eb71715b8afc792b835dd231b811d947",
@@ -284,9 +288,6 @@
   "evidence/candidate-admission/release/verify/strict/parent/complex-global/base/work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa",
   "evidence/candidate-admission/release/verify/strict/runtime/construction/leaver/PIVOT-SWAP-k8.json": "3ef7acf0cf67442a532f25b53d5fbeda76d3a84524118df8e003ca69b5cac0bb",
   "evidence/candidate-admission/release/verify/strict/runtime/data/SPEC.json": "2398579cf52c5b4f349f936ea2497dfc1543913e1f8f5c12c02b51c49bd7ffe1",
-  "evidence/candidate-admission/release/verify/strict-t74.log": "05becea12e7e00e26beac125ba350a1217b8e811e11ef57d63625eb27cd770a0",
-  "evidence/candidate-admission/release/verify.log": "f95e7e07f12879ccc259a196f92130546135e83107ffbf7ea0b4f865e943286b",
-  "evidence/candidate-admission/release.log": "b8c1f13bb79e1c866d7e66c4f0d91bbb49adfe7cbcea33d5cae2dff9c1f59aa6",
   "evidence/candidate-controller-audit.json": "1639ed5c2dfb6400d22f82c405ba53c0dffc85308d190d9792f55cb41b60de07",
   "evidence/candidate-final-manifest.json": "34ef9abf9ef04ccaaf79dbd84b964bb704a448b95629ffd2a8200f709c8b0505",
   "evidence/candidate-frozen-spec.json": "2398579cf52c5b4f349f936ea2497dfc1543913e1f8f5c12c02b51c49bd7ffe1",
diff --git a/research/shared-kernel-pair-concentration/PUBLICATION-REFRESH.json b/research/shared-kernel-pair-concentration/PUBLICATION-REFRESH.json
new file mode 100644
index 0000000000..edabb060aa
--- /dev/null
+++ b/research/shared-kernel-pair-concentration/PUBLICATION-REFRESH.json
@@ -0,0 +1,22 @@
+{
+  "retrieved_at": "2026-10-16T05:08:43.003Z",
+  "scope": "Incremental direct GitHub REST update since the preceding full paginated census; first 100 all-state PRs sorted updated descending reached 2026-10-16T02:38:16Z, earlier than prior 04:19:17Z census.",
+  "scientific_baseline_pr": 2857,
+  "scientific_baseline_head": "0b2e2537b368a0cade07ce3f71452ea018ebe394",
+  "candidate_status": "Verified gain over pinned baseline; superseded in reported conditional kappa by pending PR2863; no current-record claim.",
+  "superseding_proposal": {
+    "number": 2863,
+    "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2863",
+    "created_at": "2026-10-16T04:47:29Z",
+    "head": "34328b1d5e5bebac62d5cabec993dfbfd7b2123f",
+    "kappa_expression": "0.001720100805416885927944 - 10^-46 - 10^-70",
+    "construction": "T185, ten literal moves, matching fixed-inventory primal/dual claimed",
+    "verification_scope_here": "Read PR body and pinned README; inspected exact-head review/check endpoints; complete PR2863 certificate NOT reproduced in this run.",
+    "reviews": 0,
+    "check_status_counts": {
+      "queued:null": 61
+    }
+  },
+  "scientific_artifacts": "Allocation, generators, mathematical verifier, frozen release evidence and rational claim unchanged.",
+  "next_direction": "Inspect and independently reproduce PR2863's complete witness and fixed-model optimality before any further packing search."
+}
diff --git a/research/shared-kernel-pair-concentration/README.md b/research/shared-kernel-pair-concentration/README.md
index 12f4b44ba0..4866749e1e 100644
--- a/research/shared-kernel-pair-concentration/README.md
+++ b/research/shared-kernel-pair-concentration/README.md
@@ -1,5 +1,13 @@
 # Paired concentration of PR2857's rank-nine residues
 
+**Publication status:** this verified gain over pinned PR2857 was superseded
+in reported conditional kappa by pending [PR2863](https://github.com/CrocSwap/integer-mult-bounds/pull/2863),
+head `34328b1d5e5bebac62d5cabec993dfbfd7b2123f`, before this submission.
+Its reported T185 saving is `0.001720100805416885927944 - 10^-46 - 10^-70`.
+This package preserves the simpler T74 construction, separate checker implementations,
+full replay evidence and bounded negative search; it makes no current-record claim.
+PR2863's full certificate was not reproduced here. See `PUBLICATION-REFRESH.json`.
+
 This scoped derivative of PR2857 interleaves two copies of its T37 allocation
 and moves one width-seven helper. The complete profile changes by
 `H2 + H16 - 2H9` relative to the doubled original. The local words are unchanged.
@@ -70,13 +78,13 @@ PR2853 baseline in this session did run all four native chains fresh.
 `evidence/` contains executed receipts, source manifests, control counts and
 command logs. `EXPERIMENTS.md` records failed and superseded approaches.
 Repository-wide `make verify` and selected `make frontier1094-verify` were also
-run on pinned initial and refreshed main. Both currently fail on unchanged
-sources; `REPOSITORY-CHECKS.md` records the exact blockers. No check was weakened.
+run on pinned initial and refreshed main. Both failed on the unmodified tested base; `REPOSITORY-CHECKS.md` records the exact blockers. No check was weakened.
 
 ## Frontier and scope
 
 `FRONTIER.json` separates the reviewed main selected record from pending
-constructions and numerical targets, and records the last live check. The new
+constructions and numerical targets at the research checkpoint;
+`PUBLICATION-REFRESH.json` records the newer pre-submission comparison. The new
 result remains dependent on pending PR2857 and its inherited lineage. The census
 was paginated directly from GitHub; detailed review/check coverage is listed
 explicitly and is not represented as a complete audit of every open PR.
@@ -88,12 +96,13 @@ predecessor is changed.
 
 ## Open next questions
 
-See the structured questions in `TASK.json`. The most relevant small question
-is whether a priced multi-role transfer can use the remaining fixed-inventory
-relaxation gap. First inspect the tight patterns and actual residues; there is
-no evidence for a further gain from same-call pair swaps. A larger research
-budget should address a named inherited all-size obligation or change the local
-contract with all consumer and restoration costs included.
+See the structured questions in `TASK.json`. The former question about the
+remaining fixed-inventory gap is superseded by PR2863's claimed exact packing
+optimum. Independently reproduce that witness and its scoped primal/dual before
+any further packing search. There is no evidence here for a further gain from
+same-call pair swaps. Further research should address a named inherited all-size
+obligation or change the local contract with all consumer and restoration costs
+included.
 
 ## Credit
 
diff --git a/research/shared-kernel-pair-concentration/TASK.json b/research/shared-kernel-pair-concentration/TASK.json
index faa36d8cd7..5acaf8338b 100644
--- a/research/shared-kernel-pair-concentration/TASK.json
+++ b/research/shared-kernel-pair-concentration/TASK.json
@@ -53,10 +53,10 @@
   "ai_assistance": "Substantial OpenAI Codex research, code, exact arithmetic and separate checker implementations; no independent human review claimed.",
   "open_questions": [
     {
-      "question": "Can a priced multi-role transfer realize more of the remaining PR2857 fixed-inventory relaxation gap?",
-      "why_it_matters": "Same-call pair exchanges are exhausted in the recorded census; the remaining relaxation gap is only a few parts in 1e9 of kappa.",
-      "first_step": "Inspect the exact tight patterns, actual residual bins and chronological windows; screen a concrete transfer before full admission.",
-      "blocked_by": "No feasible additional chronological witness has been established."
+      "question": "Does an independent complete replay validate PR2863 and its claimed fixed-inventory optimum?",
+      "why_it_matters": "That pending stronger construction supersedes the residual packing-gap premise used during this run.",
+      "first_step": "Pin 34328b1d5e5bebac62d5cabec993dfbfd7b2123f; replay its complete native/outer construction and separately check its rational primal/dual.",
+      "blocked_by": "Not executed in this session; the reported stronger result is not claimed reproduced here."
     },
     {
       "question": "Can one retained all-size hosting or precision implication be proved independently?",
@@ -64,5 +64,6 @@
       "first_step": "Choose one explicit source-access, compiler or structured-boundary stability obligation from PROOF.md and pin its exact source statement.",
       "blocked_by": "Outside this finite construction session; small-matrix checks are not a uniform proof."
     }
-  ]
+  ],
+  "publication_status": "Verified pinned-baseline gain; superseded in reported kappa by pending PR2863 at 34328b1d5e5bebac62d5cabec993dfbfd7b2123f; no current-record claim."
 }