F372 static and delivery checks (2026-08-11 UTC)

Scope:
- util/distributed_state.py
- test/test_distributed_state.py
- run_bounded_cas_revalidation_checks.py
- docs/codex/verify_delivery.py
- bounded-cas-publication-revalidation-2026-08-11.svg

ruff: PASS
py_compile: PASS
git diff --check: PASS
diagram render and visual inspection: PASS
historical F366 and F368-F371 replay: PASS
F372 consecutive byte-equivalent replay: PASS
F366 20-run convergence stress: PASS
HTML twins: PASS
nested SHA-256: PASS
top-level SHA-256: PASS
delivery verifier: PASS

The recorded full gate is 787 passed plus 137 subtests with all 16 required
capabilities present and the canonical 787-node identity inventory unchanged.
No power-loss test, cross-host filesystem qualification, hosted CI job, actual
MPI transport, public solver benchmark, fuzzing campaign, LAVA-M run, or
performance-uplift experiment was executed for F372.