Research: certify staged544 internal-error reserves and arbitrary-dirty restoration

research/staged544-internal-error-transfer/.gitattributes

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+*.gz -text
+*.md text eol=lf
+*.py text eol=lf
+*.json text eol=lf
+NOTICE-PR3945.md -text
+PREDECESSOR-CREDITS.md -text

research/staged544-internal-error-transfer/.gitignore

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+__pycache__/

research/staged544-internal-error-transfer/FROZEN-SOURCES.json

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+{
+  "repository": "CrocSwap/integer-mult-bounds",
+  "head": "91f81d131252db704f945891da1ea54e29d46b8b",
+  "files": {
+    "inputs/old-WORD-base.json.gz": {
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+      "source_path": "research/staged544-terminal-gap-fill/owner/inputs/old-WORD-base.json.gz"
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+}

research/staged544-internal-error-transfer/LEDGER.json

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+{
+  "scope": "Pending PR3945 finite literal words, both providers and prescribed orientations, with PR3734 controls; no selected frontier change",
+  "proved": {
+    "input_authentication": "Four immutable gzip words, exact SHA256 and size at pinned PR3945 head; two old words preserve PR3734 controls",
+    "abstract_registers": {"live":632,"private_buffers":91,"total":723},
+    "new_literal_macro_counts": {"total":17598,"add_or_correction":16266,"scale":1164,"native_warp":168},
+    "old_literal_macro_counts": {"total":17596,"add_or_correction":16266,"scale":1162,"native_warp":168},
+    "ideal_dirty_state": "Exact free-operator shear on live fields, helper identity, all private buffers identity and zero buffer-to-live response",
+    "range": "G=302 primal,169 dual; rounded absolute-budget execution remains below1024H",
+    "internal_error": "Destination-local instruction faults: final amplification1335 primal,4841 dual; inverse-prefix all-cut gains22518781/4 and31719103/8",
+    "absolute_reserve": "13 sufficient bits for all fields/both orientations beyond requested beta, relative to initial all-state H;11 suffices primal alone",
+    "relative_reserve": "27 sufficient bits for stated relative completed-instruction block-error contract",
+    "conversion_defect_extension": "Exact inverse-prefix full-state cut sums and conservative arbitrary-register defect transfer; numeric receipts in RESULT.json",
+    "caller_composition": "Completed full-state norm<=2; Delta_L<=sum_j 2^(L-j) epsilon_j for unitary chart transitions",
+    "finite_scalar_coefficients": "At most4 numerator/denominator bits in literal scalars; this is recorded separately from magnitude and precision",
+    "source_unchanged": "No provider instruction, selected record, owner allocation or recursive paid profile changed"
+  },
+  "constructive_conditional_bounds": {
+    "component_rounding": "d complex coordinates require ceil(log2(sqrt(2d))) further bits to convert per-real-component absolute rounding into block error",
+    "scalar_accumulator": "Dyadic ADD/SCALE evaluated exactly before output quantization have operand-sum range<16384H under the13-bit absolute scheme",
+    "native_operators": "All ordered native generators and duals must realize the stipulated isometries; this package does not independently certify their physical phases",
+    "fault_placement": "27-bit result is destination-local arithmetic/warp fault model. Physical frame/recursive errors on other fields require the full-state-cut extension and an authenticated aggregate completed-cut defect bound"
+  },
+  "inherited_not_replayed_here": {
+    "local_recursive_profile": "PR3945 and PR3969 derive the changed frame invoice; no new frame census or repricing here",
+    "owners": "PR3969 retains1,321,920 roles and725,760 bins with84,240 promoted terminal slots; this package does not rerun the owner allocation",
+    "native_semantics": "The full credited native/phase/compiler ancestry remains an implementation dependency"
+  },
+  "unknown_not_zero": {
+    "actual_native_macro_precision": "Per-coordinate primitive realization, native internal error propagation and scratch usage",
+    "recursive_conversion_errors": "Actual child interior bounds and aggregation into declared logical cuts, including errors in source fields",
+    "dirty_input_range": "Physical caller bound on helper/buffer magnitude relative to original data; H includes all of them",
+    "exact_borrowed_restoration_under_rounding": "Norm-small final error does not restore exact borrowed bits or prove a legal disposal lifecycle",
+    "physical_stock_and_tape": "Owner allocation, simultaneous component widths, temporary storage and recovery stock for this precision implementation",
+    "uniform_all_size": "Tensor dimension/depth, atom-width mapping, native compiler and uniform recurrence",
+    "selected_bootstrap_sigma": "No map from this pending staged544 producer to selected m=73 stage;27 is not sigma",
+    "consumer": "Actual ordered caller maps and error budget avoiding repayment of the construction saving",
+    "outer_analytic_and_bit_supplier": "Inherited obligations remain unchanged"
+  },
+  "expansion_decision": "Narrow: preserve this finite conditional internal-error lemma; next useful work is one actual native/recursive macro realization or authenticated consumer budget. No further lowering/precision census is authorized by these bounds alone."
+}

research/staged544-internal-error-transfer/NOTICE-PR3945.md

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+# Attribution and scope
+
+New terminal-width/frame construction, idle-gap absorption proof, source-guarded recipe, independent finite checks and integration: Dugongue with substantial OpenAI Codex assistance, including three parallel Codex agents. Apache-2.0. AI implementation separation is not independent human review.
+
+Retain the following predecessor credit and all native/vendor notices:
+
+- dataisfire, PR3734: actual staged544 supplier and retained full source closure. zxv, PR3682: staged pair. Ross Richardson, PR3605: staged entrance, cleanup and residual checks.
+- Erwan Secousses / ChaloupeMusic, PR3815, with retained PR3638 lineage: attained T360 owner clock and fill. The new allocation changes widths and offsets on that placement; it does not invent the source clock.
+- hexapode, PR3802 and PR3875: previous complete endpoint combination and refinement. Dugongue, PR3857: prior general proof/evaluator work; PR3929: transported-frame compiler and concrete nonimproving example.
+- Sagar Thakrar, PR3687: audit_core.py, retained byte for byte. Its header explicitly credits Arham Tahir's coupled-carrier audit, which it reimplements. roger-sato, PR3693: whole-word audit adapter in the inherited closure. Retained exact rational-price evaluator and source notices are unchanged.
+- Jeremy Kothe: frame/preload machinery and PR2833 native rewrite; Lyy-iiis, PR2857; Dugongue, PR2863; philippeVV, PR2853, and all retained provider, owner, native/admission and outer contributors.
+- Cinna Davis (@1337isnot1337), PR2226, with OpenAI Codex assistance: native exact Clifford/operator machinery. icekylinx, PR514/433, and retained native ancestry.
+- DreamingOfClouds with Claude Opus 5.5: inherited wrapper/outer machinery; chafreaky, PR458, and its retained lineage.
+- Tekalign (@tekuuu): sparse native acceleration; retain SPARSE-NOTICE, SPARSE-PROOF, Rohan Arun and all earlier authors/PRs listed by those files. The accelerator changes replay representation, not the certified word.
+
+The original contributor names already present in upstream sources are attribution. They are not new identification of the submitting GitHub account. All original licenses and source headers remain in place. No broad mathematical novelty, independent human approval, unconditional all-size multiplication bound or fresh Lean/kernel certification is claimed.
+
+Adjacent reviews were compared and credited: Chris R / Clear1nsight PR3883/3936, with substantial OpenAI Codex assistance, supplies the completed T385 execution/COPY-contract audit precedent; retain its ai-nanachi PR3647, Sagar Thakrar PR3700 and PR2809 physical-caller lineage. These are scoped comparison sources, not a new admission receipt for our changed T360 words.
+
+Also compare and credit Chris R / Clear1nsight PR3941 for its distinct neutral-first enumeration/middle-cut reduction, following PR3886/3734, Jeremy Kothe PR2957/2979 and Dugongue PR3863/ranked-pair/MathProof predecessors. Rohan Arun's PR3939 bit-pooling draft and its explicitly conditional PR3934 stack are acknowledged as higher draft endpoints on a different route; their data and extra assumptions are not imported into this supplier.

research/staged544-internal-error-transfer/PREDECESSOR-CREDITS.md

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+# Source credit and independence
+
+New work: dataisfire with substantial OpenAI Codex assistance, Apache-2.0. No independent human review, fresh third-party AI review or proof-kernel verification is claimed.
+
+The construction extends [PR3682](https://github.com/CrocSwap/integer-mult-bounds/pull/3682), head431e6c6023ef352c41696469de7fb614cd4ded8c. Its retimed word, actual T360 source clock and immutable native/parent framework are retained. The complete new source/receipt snapshot is bound by REPLAY-INPUTS.json. The new ordinary source stage is an explicit pinned record applied after the unchanged predecessor reconstruction.
+
+- [PR3605](https://github.com/CrocSwap/integer-mult-bounds/pull/3605), Ross Richardson, supplies the staged-entrance mechanism, literal cleanup and exact Gaussian residual-check pattern. staged_pair.py is retained; the new544 shear and its proof are separate.
+- [PR3638](https://github.com/CrocSwap/integer-mult-bounds/pull/3638), head d62e1acd7518a231440383f0d0dddf54d6edf8c1, supplies the T360 source-window clock, chronological aggregate model and integral-network/literal construction, with its retained PR3605 and earlier credits. The new inventory, integer incumbent and literal fill are recomputed. No predecessor owner receipt is used as proof of the new fill.
+- [PR3687](https://github.com/CrocSwap/integer-mult-bounds/pull/3687) and [PR3693](https://github.com/CrocSwap/integer-mult-bounds/pull/3693), Sagar Thakrar and roger-sato with their credited AI assistance, supply audit_core.py and the whole-word semantics adapter audit_verify.py. These bytes are retained and reused. They are independent of the current constructor in the stated interpreter scope, not a newly written independent audit or new reviewer approval.
+- The coupled-word source lineage includes PR3133, PR2979, Marius-Paul Dumitrean, dcharb78, Jeremy Kothe and the retained native/owner/block-norm/outer authors. All notices and scientific engines inside the source snapshot remain intact.
+
+owner_audit.py is a standalone standard-library adaptation of the source-window/family/prefix/invoice predicates in PR3638's independent_literal.py. It imports no producer, optimizer or retained owner checker. Its source template, plan and actual native canonical words are authenticated inputs. Three controls mutate actual literal roles and must fail for the intended reason. It shares the credited contract interpretation; it is not evidence of independent human agreement.
+
+The rational finite-price enclosure is retained from the PR3682 sources. New script adapters bind it to the actual finite histogram. Native forward/backward scalar replay, wrapper/phase lowering and all-column warp recipes were freshly run for both new words; unchanged native and parent ancestry is explicitly reused. The separate new544 span(414,51) residual check includes global Gaussian phase.