κ = 7.77733996775530073717409e-4: selected carriers preserve sixteen sinks

[eumemic]

κ = 7.77733996775530073717409e-4

Exact value: 777733996775530073717409/1000000000000000000000000000.

Restoring cube 18's earlier orientation creates a sixteenth terminal sink. The source combines that change with exact-subspace grouping and fourteen even plus six odd carrier switches, omitting the harmful odd-centre-9 switch. This improves on frozen #341 by approximately 2.4241e-8. Fresh source regeneration, downstream discovery and complete native pricing determine the result; no discovery score is added as a proxy gain.

The full operational complex supplier remains #327 at 40ed0456ab1990beb3440e61bb883ccf95fdcea4, with full-fallback saving 779597612622781/10^18. The bit side still binds. The inherited all-size compiler, selector, common-ancestor chart, restored-row, routing, prime-supply, precision/recovery, complex-symbolic and analytic interfaces remain assumptions; this is a conditional sufficient construction.

The final word has 10,004 registers, 8,084 dirty helpers, 324,334 ADDs, 47,816 paid calls and rank mass 177,836. Fresh stages include 1,240 entrance families of rank 1,244, 240 early restorations, 16 sinks, 124 reorderings and 10 final single retimings. At 300 replicas, literal stock is 3,266,940, with 1,918,433,217,000 paid selectors and primitive coefficient 125,786,698,366,672,001. Eight finite bootstrap levels give the displayed exact bound.

Two complete immutable 22-stage replays on Python 3.11 and 3.12 actually exited 0 with matching mathematical certificates. Every receipt hash, both complete five-file producer regenerations and every committed package blob plus manifest matched before push. A separate audit passed all F₂ forward/inverse columns, arbitrary dirty restoration, COPY lifetimes, both reflected paid ledgers, alternate exact bank tiling, all 27,814 basis and annihilator minor witnesses, and closed-form assembly. Its fresh numerical operator check is over F₂; integer inverse semantics follow the actual elementary signed shears and retain the signed decoder/recovery assumptions.

Word SHA256: 065ef05861ad3cb87ce0275eaee1b65ce75c15fefdb0a1cff29d51bfe038e106.
Package manifest: 60c9825d6a3f08c2f05159b5261e04536fd36051f203b7d9db7311aba74015fe.

Credit includes DreamingOfClouds for #325's bit construction and #327's complex supplier, Chafik Boukhalfa for transcript transforms and p10 adaptations, Rohan Arun for frame optimization and arithmetic refinements, and every contributor named in inherited notices. Source search, integration, independent auditing and publication used substantial OpenAI Codex assistance. All inherited provenance and AI disclosures are retained.

A dedicated Linux workflow replays this complete package. The inherited repository-wide joint-dual Makefile pin failure remains separate, addressed by #318. All previously published PR heads and claims remain unchanged.

[Mister-Meeseeks]

Thank you @eumemic. This contribution is now retained on main in the scoped 100-PR review and contributor credits.

Contribution: Carrier choices preserving sixteen sinks.

Review and limits: The extra sink is admitted with revised endpoint stock and banks, rather than deducted from a headline count alone.

The complete original source, notices and relevant execution evidence are retained through the pinned source archive. The review distinguishes fresh local runs, source-bound historical Linux CI and prior exact-head review; it does not claim 100 fresh full mathematical audits. Closing this historical PR as reconciled. This preserves parallel and cumulative credit without replacing the selected frontier or promoting priced research targets to completed constructions.

Reviewed head: 69cdb327d3c7cf93f711c983cb51606856dc3f07. Publication: 4040a0f46d67b41c36a472a7cd4af791fd4c36cc.