T471 repair evidence, 2026-10-24

The live /skill was fetched and compared with the local canonical skill. The stricter local restrictions were applied. Both ranked critique findings remained present in a fresh authenticated API document. An unauthenticated API read returned the draft-hiding error, while the authenticated read returned the table; the unauthenticated /T471 page returned HTTP 404. The same check immediately preceded the write, so this run edited a private draft, not a published table.

A singleton convex hull has exactly one extreme point. The minimal polygon repair therefore returns QQ(1) at n=1. Testing the ellipse program found the same domain omission, manifested as nan instead of zero; it received the same exact branch. For four independent planar points outside the probability-zero degenerate cases, the vertex count is 3 plus the indicator of convex position, proving e_K(4)=3+p_K(4). The linked disk probability is 1-35/(12*pi^2).

The repair checks executed original and proposed snippets, checked the small controls, recomputed all 51 stored values, and checked the disk closed forms with 512-bit Arb. The largest measured ellipse ball radius was 1.3302343e-121 and the largest discrepancy from a stored decimal was less than 0.446 units of its last place. The reproducible generator independently exercised the client verification path and matched all 51 live entries. These checks confirm the displayed computations and the claims used for this repair; they do not independently reproduce the builder's signed-area integration or timing measurements.

The changed comment and programs were rendered through the read-only /preview endpoint. The link resolves in the renderer to T468?entry=unit-disk,4, and all three one-point branches appear. Full draft-page browser layout remains unverified because the API key is confined to the authenticated API and the public draft page is unavailable.

The exact proposed document was read back after writing. No numerical strings, parameter keys, or parameter order changed. The audit retained its single grouping suggestion; the body is an argument of one invariant, so splitting would be inappropriate. The existing definition already states this explicitly.

All work is stored in this run's artifact directory as required by the artifact-run policy; the repaired handoff was not written into the shared agents/critiques source directory. No commit, push, deployment, table publication, human review, or offer-for-review action was taken. This repair creates no new table and no build marker.