# Reproduction and integrity checks

From the dataset root:

```bash
git lfs pull --include='matrices/**'
sha256sum -c manifests/SHA256SUMS
python -B scripts/verify_dataset.py .
```

The verifier uses only Python's standard library. It reads the materialized
compressed Matrix Market files, checks their content and file hashes, verifies
`H_X H_Z^T = 0` over GF(2), recomputes both ranks and `k`, checks the strict
FOM arithmetic, and validates every included logical witness against the
published matrices. The Stage 3 typed-exact verifier additionally reconstructs
the twisted `Hx/Hz`, validates the complete `Gx/Gz` logical basis, and
replays the weight-16 upper witness under the stated pinned-solver boundary.

The exact public pipeline parameters and source bindings are recorded in `config/run_config.public.json` and `manifests/selection.json`. Full stochastic search replay requires the source revision and matching dependencies; this compact expert package intentionally omits model transcripts, internal prompts, process state and checkpoints.