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Certify fixed-suffix BIT exterior injectivity (0% κ change) - #7272

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ToikY wants to merge 2 commits into
CrocSwap:mainfrom
ToikY:codex/bit-changed-carrier-exterior
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ToikY wants to merge 2 commits into
CrocSwap:mainfrom
ToikY:codex/bit-changed-carrier-exterior

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@ToikY

@ToikY ToikY commented Nov 11, 2026

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Change and mathematical scope

Exhaust the 60 old paid ingress events into 20 literal rank-seven charts for the ten isolated marked BIT banks. Keep the literal suffix and old ordinary operations. Exterior equality alone forces the exact coframed source-coefficient kernel to zero. The two other-owner scopes have rank 88 of 88. The wider current coframed replacement scope has rank 148 of 148, with 114 exterior outputs. All 545 terminal arrival operands are granted free at this gate. No marked library expands. NO VERIFIED GAIN. κ change is 0%.

Task and overlap

Canonical e545235, revision 8. The bit-helper-contract card changes to an exact 60-event stock test on the selected BIT word. #7271 binds the earlier 185-port funded ingress scope with fixed paid payloads. This package varies the 60 payloads within their actual coframed source spaces. #7264 proves sharpness for synthetic maximal libraries. Its premises are separate from this literal fixed-suffix test. The comparison is exact #7244 scientific 4156504 at κ = 0.003645372367832.

Validation

From a clean checkout with CPython 3.12 and assertions enabled:

python3.12 -B scripts/research_package.py --package research/bit-changed-carrier-exterior
python3.12 -B scripts/check_research_commit.py --package research/bit-changed-carrier-exterior --check-modes --check-source-history

Offline replay authenticates bundled public paths, regenerates the predecessors and directed tariff, and reproduces the exact 300,884-byte scientific receipt with SHA-256 42d7c43180690bcbd062fe011d3e4a0f12305d952e823afb34a1f76a4872b82b. An independent 60-impulse check reproduces every rank and rejects a forged coframed row or exterior mask. Changed input and duplicate manifest paths fail before scientific output. The clean CPython 3.12.14 replay, all 34 committed paths and six navigation checks passed locally. No changed supplier, materialized multiplier or selected cold replay ran. The branch reuses the existing docs-only navigation prerequisite f2206e6 in a separate commit. Hosted checks are pending at opening.

Credit

Credit CubeJerry #7001/#6726 for the literal BIT word, ToikY #7209/#7258/#7260/#7271 for the source geometry, prior stock and directed tariffs, Clear1nsight #7244 for the exact comparator, and Nick Petalas #7264 for the synthetic sharpness control. OpenAI Codex and subagents materially assisted. The exact public pins and inherited notices accompany the package.

Open next questions

NEXT.md specifies the bounded test of whether other live coframed rows can restore the original paid field before its first observer. A changed ordinary schedule also needs exact timed ownership, simultaneous full endpoint rank and restoration. The target stock gate is 7, 5 or 4 expanded singleton libraries at zero, one or two separate split fees.

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