# Read-back evidence for T688

Run 20261109T110159Z filled one draft, T688, with 100 exact rational GW
invariants. The final document is still private. No offer, publication or
human-review endpoint was called.

The generator's `verify(sample=None)` returned:

`<VerifyReport T688: 100/100 matched, 0 differing, 0 missing, 0 extra>`.

The values read back from the API also passed the separate second-period
calculation for all 100 rows, all 17 documented localization controls, the five
Grassmannian line controls, all 100 Lambert-integrality and Möbius comparisons,
and 210 hypergeometric coefficient comparisons. Truncation orders 24 and 28
agreed through degree 20. The stored row identities and order match the
selected enumeration. See attached postwrite-evidence.json.

The API exports Numbers as a nested dictionary even though the submission used
flat records. The first read-back check stopped on that representation
mismatch. The revised check uses the client's existing `_stored_entries`
reader for either representation; this is not a numerical repair.

The site audit initially reported a missing installation command, a sparse
“curves” tag and a long definition. The installation command was added,
“algebra” and “sequence” were retained as established tags, and the target and
hyperplane details were moved to Comments. All numerical values were preserved.
The final API audit response is `findings: []`, `clean: true`.

All final prose and values were compared with the intended document, after
normalizing the entry representation. The generator, independent checks,
selection rationale and evidence attachments were fetched back and their
SHA-256 hashes compared with the local artifacts. The standalone fingerprint
is discovery evidence only and makes no argument-review acceptance.

The independent critique is still required. In particular, agreement of two
mirror computations is not an independent geometric check at high degree.
Macaulay2 was unavailable; its published localization outputs, rather than a
new localization run, supply the degree-one through degree-three controls.

Instruction evidence is the archived manifest
`agents/runs/20261109T110159Z-build-skills/manifest.json`, attached as
`skill-manifest.json`. Both versions read have SHA-256
`886390324dd1971e381a43cf3b46b822ab0bc67d62f31d8481e29ec79556746b`.
