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Conditional κ = 0.00363005817 (+0.0838% over #6936): shared wires and two helper splits - #7000
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Synchronize the CI guide with the selected CrocSwap#7000 application using the prepared correction from CrocSwap#1200 (comment). Resolve the package application note’s unpublished 8+8 references.
This was referenced Nov 10, 2026
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Change and mathematical scope
Propose conditional κ = 0.00363005817, tested at .00363005817007, about +0.0838% over #6936. The certified raw crossing lies in (.00363005817468836708593357676489, .00363005817468836708593357676490).
Compose #6937's sixteen shared wires with #6936's two plain splits, add one further wire, and construct two new helper splits. The two splits were enabled by the predecessor's sixteen wires; the added seventeenth wire is not credited for enabling them. The final word has 71,261 events, 1,080 independent helpers and unchanged 23 owned rises.
The #6980 QUERY-only caller removes empty-root credits without changing the signed moment. A separately published paired BIT dependency preserves .00385248 and bootstraps from selected .0034; its price is conservatively weakened to .00376669 here. The complete surplus is 1,520 and conservative ordinary work is 826,790,496 < 10^9.
Sources and verification
Base:
7c49fe32c55de02c2c873655c804b16e4c3fef0a. Source heads: #6936 d360b11, #6937 a98df73, #6980 6179034; full SHA/path/byte pins are in NATIVE-INPUTS.json and INDEPENDENT-SOURCES.json, including #6970/#6985 precision engines.Expected registered PASS. Cold reconstruction, separate causal/split proofs, all-input native and symbolic caller checks, 73 signed chart recipes, independently implemented interval/finite/outer gates, and finite 512-component physical replay passed. All 54 strict and four functional outer checks pass. Controls reject scalar, endpoint, QUERY, phase, compiler-gap and price corruption. Assertion-disabled entry points reject execution. Default replay preserves all package bytes; committed modes and complete remote tree match.
Limits and credit
This is a small complete conditional improvement, not an accepted-frontier update or unconditional theorem. The five framework assumptions, odd-scalar/exact-child, owned-ascent and native/caller tariff contracts remain; #6998's physical tariff conversion is still owed. Precision engines are attributed reuse, not independent reimplementation. Further legal helper itineraries and physical admission remain open.
Prepared for @CubeJerry with substantial OpenAI Codex assistance and separate implementations for independent checks. Credit DreamingOfClouds' #6936/#6937, Ali Romman's #5599, @CubeJerry's #6916/#6980 and all retained source authors. No human-review claim.
Research package and evidence
Construction, independent reviews, exact receipts and validation
Paired BIT dependency, exact pinned package