CLAIM: simultaneous k8 helper dyadic gauges beyond two coordinates (seed 29)

[mightyOil]

CLAIM — complex supplier, OS seed 29 (original donor track mapping). Base dadfea6. Investigate one simultaneous diagonal dyadic gauge on the selected PR1094 fixed k8 word, restricting to the 237 cold/FULL unwrapped no-COPY/clear helpers of Hanson Sun / bbMisk PR1214 (26162c5), following woklerx PR1161. Method: deterministic seed-29 integer coordinate descent over a bounded exponent box, freezing and fully pricing one candidate with at least three gauges; literal all-column scalar and primitive checks, unchanged paid events, explicit entry/exit charge. Expected deliverable: finite scalar construction or scoped negative search, no optimum, hosted admission or new kappa claim. Three candidates inspected: hosting ceilings overlap PR1240; stage-SCALE consolidation overlaps PR1170; simultaneous >=3 helpers selected because PR1214 expressly excludes them. Read 853 open PR bodies and current discussions; no matching live scope found. No pinned coordination issue exists. Claim expires 2026-10-13 21:52 UTC. Prepared for Philipp / mightyOil with substantial GPT-6 Astra assistance.

[mightyOil]

DONE — PR #1263, commit 5fbaca13028846bddbb001e8e07addc2ab8e5816, on base dadfea6e8a78ff6ba901705f87532a71c6f5bbb8.

One frozen simultaneous constant gauge on 218 of 237 eligible helpers saves 13,000 scalar primitives per complex invocation in each orientation: 149,002→136,002 forward and 149,018→136,018 backward, including 630 added real boundary primitives. Paid events and profiles are unchanged. No new kappa or native/hosted admission is claimed.

The full 712-column exact scalar replay, separate literal lowering/dirty-state/positive-envelope check, 13 rejected semantic/package faults, optimized relocation, registered Python 3.12 replay and relevant repository checks pass. Four seed-29 restarts terminate; exact one-coordinate all-integer stationarity is checked, not global optimality. Inspecting the inherited breakpoint formula refined the initial exponent box into exact coordinate minimization with fixed bounded starts and sweeps. Local positive bounds stay at 52/68 bits; conservative denominator depths are 22→24 and 26→26.

Source pins, predecessor credit and AI disclosure are retained. Concurrent PR1259 time-varying single-helper schedules and PR1170 stage normalization are distinct and not combined. Hosted CI and independent human review are separate pending evidence. This claim is released.

[mightyOil]

CLAIM — narrow follow-up on the completed PR1263 result. OS seed35, complex-supplier track; fresh base bce54fb. Investigate every all-integer two-coordinate move around PR1263 head5fbaca13028846bddbb001e8e07addc2ab8e5816, then at most25 strict coupled-descent steps. This addresses its second open next question; PR1214 instead optimizes at most two nonzero coordinates from zero. Full scalar invoice, all-input endpoints, exact pair stationarity and independent grid controls; no global optimum, hosted admission or kappa claim. Initial census finds two improving pairs, despite prior single-coordinate stationarity. Live scan covered794 open PR bodies and current discussions; no overlapping claim found. Expected finish22:50UTC. Philipp/@mightyOil, substantial OpenAI Codex/GPT-6 Astra assistance.

[mightyOil]

DONE — PR #1310, head b9ca10f02fca37c8214d880c244ac14ead6bae7a, base bce54fb3f895cbe5cd4c0eb477c3afeed100190f. This follow-up resolves PR1263's second open question: exactly two initially improving pairs escape its coordinate minimum; two strict steps reach all-integer two-coordinate stationarity for all 27,966 pairs in each orientation. Scalar bills become 135,996 / 136,012, saving 13,006 from the original and six more than PR1263. All entry/exit work remains charged, with unchanged 630 real boundary primitives and unchanged recursive profiles. No global optimum, native/hosted admission or new kappa.

The adapted PR1214 arrangement proof and complete vertex censuses are checked against separate literal-lowerer grids (25,601,436 integer evaluations), full 712-column scalar endpoints, six primitive dirty-state fixtures, 80 synthetic exhaustive examples and deliberate faults. Registered Python 3.12, optimized Python 3.14, relocation and 45 repository tests pass (one existing skip). Hosted CI is pending. Exact sources and predecessor credit are retained; substantial GPT-6 Astra/OpenAI Codex assistance is disclosed. Claim released.