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2751 bytes, as of the version from 2026-11-09 23:51 (current). Recorded here, not run.
# T697 rendering repair, 2026-11-09
The table's `Programs.mpmath` was a scalar code string. The live preview returned `Error while Parse program mpmath: string indices must be integers, not 'str'`. The renderer indexes each program's `language` and `code` fields. Wrapping the identical string in `{language: "Python (mpmath)", code: ...}` removed this exception. No mathematical prose, parameter, value or generator source was changed.
Both authenticated reader addresses now return HTTP 200: `/T697` and `/Generalized_log-sine_integrals`. The full live page was inspected in Chromium: 65 MathJax containers, no MathJax errors, no broken citations, and visible program code exactly matching the stored snippet. Nine citation-complete previews also passed. The first-screen definition, parameter inequalities, number-column label and program screenshot were read. All 181 entry identities and stored values remain identical to the original document.
The unchanged snippet was run under Sage 10.9 with mpmath 1.4.1 at 130 and 180 decimal digits. Four nonzero stored values, including the printed `(4,0,5/6)` example, lie within their one-last-place decimal intervals; the largest distance was 0.485744226192 last places. Three of those values also agree with Catalan's constant, `-pi^3/12`, and `3*pi*zeta(3)/2`. Two nonzero elementary controls and deliberately perturbed stored values checked the comparisons. The exact-zero row was checked numerically without treating its tiny residual as a proof of exactness. These are validation checks, not new certification claims.
Reproduce these checks by saving the current `GET /api/table?id=T697` response as `document.json`, saving `repair-skill-manifest.json` as `skill-manifest.json`, and running `sage -python repair-check-program.py` alongside those files. The existing `generate.py` and `checks.py` remain the reproducible computation and full numerical checks for the table.
The instruction manifest is `agents/runs/20261109T222649Z-repair-skills/manifest.json`, SHA-256 `c879ba3e40020535135932a0ac7d93e894d04b267cf416aa702c3c96617ec363`. Both archived local and live skills and the snapshot canonical file have SHA-256 `886390324dd1971e381a43cf3b46b822ab0bc67d62f31d8481e29ec79556746b`.
The selection fingerprint changes from `8e104de278d81a5ba8dba6561be1c6bb64c4ec0b8969917e3c6ba70ce9a37379` to `88a1532c2f2907cd6c9fadc3fb0ec36098194735effbee79fe57f4be0a4ce3c9` because it includes Programs. A fresh independent critique of this same draft is required. The existing independent argument-review sidecar was not changed or accepted. The generator's live SHA-256 remains `531d1e432c82defc5d84670740b0bc4c1b8cb5168fe647621ec7cb3e77c34391`.
No offer, publication or review action was performed.