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Exclude two-carrier BIT recovery at summary 770 (0% κ change) - #7157

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ToikY:codex/bit-two-carrier-chronology
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CrocSwap:mainfrom
ToikY:codex/bit-two-carrier-chronology

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@ToikY

@ToikY ToikY commented Nov 11, 2026

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Change and mathematical scope

On the exact selected #7001 BIT native word, neither one nor two existing public MOVE source rows can recover summary 770 within its retained INIT-to-first-read window. The source replay verifies all 659 arbitrary-input output rows. In the rank-119 quotient of every retained chart-zero row available during the window, there are zero single-source matches and zero complementary pairs among 907 positive-rank sources on 547 owners. The two additional rank-zero source rows reduce to zero. The index excludes all 821,022 ordered distinct-owner pairs while granting disjoint clocks and free restoration of the original public endpoints.

NO VERIFIED GAIN. The proof fixes the actual producer rows and scalar prefix, the other summaries, and the exact retained continuations. New producer rows, earlier prefills, other summaries and more than two carriers are open.

Task and overlap

Refines bit-helper-contract on canonical e54523517d0f03e58352e647c403a5af3e525a57. #7149 fixes monotone source flow. This proof admits proposed downward carrier transport from two literal existing source rows. The selected #7001 word is pinned by blob b718d6b2848215ad785022106dfa9f871a3d1c0c and SHA-256 51203e7fc75ba10bd3ac3f8e675759f47e13d262bea66b6600d1e515095cad78.

Validation

python3.12 -B scripts/research_package.py --package research/bit-two-carrier-chronology

CPython 3.12.14 standalone, registered, metadata and committed-byte checks passed. An independent forward trace checked all 410,871 unordered pairs of positive-rank events including equal owners. The replay includes positive single and pair controls, a changed target, and source integrity. An altered word was rejected. The detailed local price and timing pilot capped at 4,096 ordered cases, while the exact quotient index excludes the whole stated source pool. No physical supplier change was built.

Credit and next test

Ali Romman’s #5421 supplied the owned relation mechanism. DreamingOfClouds, zxv, CubeJerry and the retained authors supplied the selected native and paired controller. #7149 supplied the earlier fixed-catalogue support gate. Material OpenAI Codex and subagent assistance. Apache-2.0.

The next mechanism is a changed scalar prefix with a legal live cocharted donor. Its new source row, arbitrary public endpoints, restoration and full directed price must all be verified before building.

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