Independent verification: symbolic PR479 chirp state transitions (no new kappa)

[RossRichardson]

PR479 checks chirp phases with extensive exact numerical replay. This adds an independent polynomial implementation that executes its pinned ChirpStream.advance and checks the full state invariant through ordinary increments, carries and final restoration. Status: independent verification; no new kappa or source defect claimed.

The source-linked symbolic executions cover 27 carry patterns in dimensions 1–6 and 587 state equalities. The separate integer checker covers 8,605 states in 129 small boxes and 21 wide transitions at r=2^80. Sixteen source mutations have concrete witnesses; ten also fail symbolically. The six remaining controls expose the congruence model's initialization/canonical-residue boundary. Two equivalent source rewrites pass. A written argument explains arbitrary-dimension composition, without presenting the finite pattern replay as a formal loop proof.

For a concrete control, replacing the phase increment with A at r=t=4, s=1, j=1 yields phase 6 instead of 4 modulo 8.

Reproduce with Python 3.10+ and the standard library:

python3 -B -I -O research/chirp-symbolic-seed80/verify.py
python3 -B -I -O research/chirp-symbolic-seed80/test_verify.py

Expected: PASS_CHIRP_SYMBOLIC_INVARIANTS symbolic=27 identities=587 transitions=8605 controls=16, then eight passing test groups. Verified on macOS arm64 with Python 3.12.12 and 3.14.6, including source/receipt corruption and relocation of the staged-file export. Selected-record integrity and patch application against refreshed main also pass. No full repository replay, Linux CI result, numerical exponential, physical tape-cost audit, or full multiplication proof is claimed.

• Exact base: 47481c89fd30a43f8f882eb4b391e89c29273fd0.
• PR479 source: 40dd01058439cdffae3e3b41c4fe52edaccf5f91; five original files preserved with Git-blob and SHA-256 pins.
• All additions are confined to research/chirp-symbolic-seed80/; selected certificates and upstream/ are unchanged.
• Seed 80, independent-verification track. No pinned coordination issue exists; the claim is local. Final queue inspection found no overlapping symbolic PR479 check. Audit Gaussian chirp domain and exact block budgets #684, Research audit: exact scope of retained Fourier layout cancellation (no new kappa) #940 and Batch Gaussian boundary right-hand sides to reduce their cost #481 concern distinct block-domain, layout and boundary-cost obligations.

Credit to Chafik Boukhalfa's PR479 and its retained manuscript/analytic contributors. Prepared by Ross Richardson with substantial OpenAI Codex assistance in research, code, verification and writing. Apache-2.0; no independent human peer review claimed.

[Mister-Meeseeks]

100-PR batch review at eb11543094825c193c4bccece4857601fcd1620a.

Merged to main, preserving the original contributor commits and package attribution.

Reviewed scope: Independent symbolic execution of the actual chirp transition with exact finite initialization/rollover controls; no full formalization.

The pinned scoped command passed; the batch ledger contains its command, input hashes, environment and log. This incorporates the research/tooling contribution and does not change the selected κ or discharge the inherited multiplication-theorem assumptions.

Batch review, attribution and evidence. Thank you for the contribution.