Conditional κ ≈ 0.0017228163198632: four paired extractions at normal 45 on #2917's words (+3.16e-7 over #2930)

research/paired-extension-normal45/.gitattributes

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+# Keep vendored, data, allocation and evidence bytes exact (the repository default normalizes text).
+* -text

research/paired-extension-normal45/ALLOCATION-PINS.json

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+{
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+}

research/paired-extension-normal45/CLAIM.json

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+{
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+  "cap_upper": "172281727074284952091/100000000000000000000000",
+  "realized": "below the fractional optimum by the recorded gap (check_cap.py); the cap basis is fractional at T74"
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+  "8": 8
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+ "native_receipt_sha256": "0261d8834cfa6de1b654d9539c19fce9c762bf94de97d6d055cee06f85859909",
+ "physical_families": 66808,
+ "previous_open_claim": {
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+ "release_receipt_sha256": "c2f14611d571c3b2f3482d480d4f91f698fa73568a3af7b7b7db632a9c369a48",
+ "replicas": 74,
+ "scope": "Conditional finite supplier/outer certificate for PR2917's words plus four paired extractions at hyperplane normal 45 with a new literal T74 allocation. Inherited all-size/compiler/theorem hypotheses remain. No selected-frontier change or independent-human-review claim.",
+ "source_manifest_sha256": "79956f19c5c3d4d1ad3578e4b3d6844bc54c1f3680825fc87c80cc04f069dae8",
+ "status": "CONDITIONAL_CANDIDATE_COMPLETE_FINITE_RELEASE",
+ "width_inventory": {
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+  "7": 62,
+  "8": 100,
+  "9": 218
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+}

research/paired-extension-normal45/CREDITS.md

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+# Credits
+
+- **PR #2908, Jeremy Diviney**: the paired input/output extraction, its compensation rule `C*S`, the exact two-sided certificate (`structure.py`, vendored unchanged) and the closed-adapter admission chain.
+- **PR #2917, Mason Hale**: the nine further extractions and the final 82-endpoint words that are this package's parents, the refit/compose producer model that `producer.py` follows, the declared frame-edit records, the T74 chronology (ORDER/DISPATCH), the allocation checker, moment auditor, extension stage and adapter derivation reused here.
+- **PR #2894 / #2833, Jeremy Kothe**: the preload re-synthesis supplier, the frame accounting and inverse-reverse cleanup (`vendor/preload_move.py`), the source materializer and the inherited supplier lineage.
+- **PR #2857 / #2848, Yiyang Lu (Lyy-iiis)**: the shared-kernel words, the staged native/overlay tooling and the chronological flow model and realization (edge colouring) used to construct the allocation; PR2843 (Marius-Paul Dumitrean) is that flow model's starting point.
+- **PR #2863 / #2839, Dugongue**: the packing lineage and the PR2839 owner engine.
+- **Tekalign**: the independent owner/chronology checker (`allocation/vendor/independent_owners.py`) and admission tooling.
+- **icekylinx**: the exact free-operator auditor retained as `vendor/audit_local.py` (PR2833).
+- **PR #2930, Marius-Paul Dumitrean**: the cap allocation of PR2917's words, its relaxation tools and the comparator headline.
+- **New here (Marius-Paul Dumitrean, with substantial AI assistance from Anthropic Claude via Claude Code)**: the census of further paired extractions on PR2917's final words, the joint four-step composition at hyperplane normal 45 with its declared frame edits, the producer and local verification for it, the overlay stage `normal45-paired-extractions`, the literal T74 allocation of the changed inventory, its relaxation certificate and recorded gap, and the complete fresh replay.

research/paired-extension-normal45/MANIFEST.json

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+}

research/paired-extension-normal45/NOTICE

@@ -0,0 +1,20 @@
+research/paired-extension-normal45
+Copyright 2026 Marius-Paul Dumitrean. Licensed under the Apache License, Version 2.0.
+Prepared with substantial AI assistance (Anthropic Claude, via Claude Code).
+
+This package retains, byte-identical, Apache-2.0 files from PR #2917 (Mason Hale, head
+224bd5e56041c40078ff6b5fa7393733a215de5c, research/paired-helper-extension): data/PARENT-base.json.gz and
+data/PARENT-extra.json.gz (PR2917's data/WORD-*.json.gz), structure.py (Jeremy Diviney's PR2908 two-sided
+certificate checker), vendor/audit_local.py (PR2833's independent exact auditor, icekylinx attribution),
+vendor/preload_move.py (Jeremy Kothe's PR2894 frame accounting and cleanup), allocation/ORDER.json,
+allocation/DISPATCH.json and allocation/vendor/ (independent_owners.py: Tekalign's independent owner checker as
+vendored by PR2839/PR2917; PLAN.json.gz, TEMPLATE.json.gz); and from PR #2930 (head
+81f3b5d12977eba09e06fbff729167d59faabe90, research/paired-extension-cap-fill): allocation/baseline/ (its CLAIM.json,
+ORDER.json, PROFILE.json) and tools/relax.py, tools/root.py, tools/relax_exact.py.
+producer.py follows PR2917's producer.py (Mason Hale) with this package's four helpers; verify.py,
+check_allocation.py, run_registered.py and reproduce.py adapt PR2917's/PR2930's; tools/audit_allocation_moment.py is
+PR2917's exact moment auditor with only its authenticated baseline changed (to the PR2930 headline);
+tools/derive_adapters.py generalizes PR2917's adapter derivation (PR2908, Jeremy Diviney); tools/build_overlay.py
+follows the overlay conventions of PR2908's and PR2917's builders. construction/ retains the flow model of
+PR2857/PR2843 (Yiyang Lu, Marius-Paul Dumitrean) as adapted for this allocation. All original notices of the
+exported predecessor packages remain in force.

research/paired-extension-normal45/PINS.json

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