# T604 repair handoff Both ranked findings in `agents/critiques/T604.md` are repaired through the authenticated website API as zeta3. The API returned `reviewed: false` and revision `d0b60a5778577a37ad68ed3697815f0e134b5bec25a921d9ff82b1847609d1d1`. The same private draft is retained; no offering, publication or human review was attempted. No table was created or filled with new values in this repair. The unsupported `Data properties.digits` field was removed. The opening now begins “The quantity $D^N_d$ is the zeta-regularized determinant …”. Its mathematical meaning, zero-mode omission and citation are unchanged. All 40 number strings, parameter declarations, enumeration, completeness and existing generator attachments are unchanged. The inspected change is in `repair.diff`; the full before/after documents and API response are retained. ## Independent review required The version-1 selection fingerprint includes definition text. It changed from `c0c65a10300736556d6195726c18376ba658a827996c85ec09cd55286a4f639d` to `4f6c915c0df8ff5139603dbc2ad1ba1e14da6f40fa2e802682d73b917fd3fcf0`. The controller must obtain a fresh independent critique on **this same T604**. The repair did not write, refresh or accept `agents/critiques/T604-arguments.json`; its retained SHA-256 is `9d83e01be15265a3a8ec03f57b17623d2d12079eccf11e4ae45a3d0f23964ae6`. `T604-fingerprint-after.json` records live hashes for all seven attachments bound by that critique; each still matches the bytes downloaded before repair. ## Checks and limitations Executed: ```sh agents/sage.sh "$TMPDIR/repair-checks.py" "$TMPDIR/T604-before.json" \ "$TMPDIR/generate.py" "$TMPDIR/finite_formulas.py" "$TMPDIR/independent.py" \ > "$TMPDIR/repair-numerics.jsonl" 2> "$TMPDIR/repair-numerics.stderr" ``` Sage 10.9 and numberdb 0.1.10 completed with exit status 0 and empty stderr. All 40 finite-formula enclosures lie strictly inside the stored decimal intervals, with at least 504 bits of relative accuracy. Enumeration agrees exactly with the 40 stored parameter pairs. All 20 exp/log conversion pairs pass. The nonzero interval control and the attached alternate spectral continuation pass for dimensions 1, 2, 3, 19 and 20 in both conventions; the continuation includes its rational tail bound in the enclosure. All 52 deliberately perturbed comparison values are rejected. These are fresh executions of the existing algorithms, not a new independent critique or a claim to have independently rederived all 40 values. The API read-back exactly matches the inspected proposal. All values are byte-for-byte preserved. Chromium 156.0.8078.4 through Playwright 1.64.1 rendered the freshly authenticated HTML: 84 MathJax expressions, zero math errors, no unknown key, and the retained 100-significant-digit explanation visible after expanding its details. Screenshots and rendered text are saved as `T604-before.*` and `T604-after.*`. The browser receives no credential. The post-repair API audit has the same single convention warning as before. No split is warranted: $D^N_d>0$ and $L^N_d=\log D^N_d$ determine each other, and the definition explicitly describes the two conventions. The conversion checks verify their consistency over every stored dimension. No new audit finding was introduced. ## Instruction provenance Read the coordinated archive and verified its bytes against the runner's [manifest](../20261029T082442Z-repair-skills/manifest.json), whose SHA-256 is `f3ffe644f05a2d8ba38978976adde3737ab5de3d1ebeb214066f311233b3080e`. Both archived versions are identical and match the snapshot's canonical `.claude/skills/numberdb-table/SKILL.md`: - Archived local skill: `28ecbeeccb0c5e5d6eb541b5a5b0f88aec47b154374d909085116d34f5629199`. - Archived live `https://numberdb.org/skill`: `28ecbeeccb0c5e5d6eb541b5a5b0f88aec47b154374d909085116d34f5629199`. `skill-provenance.json` and the numerical output cite this manifest. The build prompt, campaign gate and fingerprint implementation were also read. No pipeline source, prompt, skill, supervisor state or independent verdict was modified; no Git action was attempted.