OMEGA INTEGRATION PROOF BUNDLE
Supplied 14 October 2026. Hosted here 15 October 2026.
Not a source paper. Not peer reviewed.

This directory hosts the files that were supplied, plus this archive's
rerun of the Python checker. It is not the unseen full bundle tree.
Julia source, Rust source, the adversarial script, the SymPy script,
the historical verifier, the provenance files, and the bundle manifest
were not in this upload and were not run here.

The note states 34 theorem records under stated assumptions, and 12
excluded or unestablished claims. This archive has not reviewed those
written arguments as a proof.

The Python checker is an exact polynomial checker in Q(phi), plus
rational certificates and a finite canonical-ledger audit. A zero
normal form is an identity in the free variables of that program.
Finite cases stay finite. The ledger audit covers seeds 0 through
32767 and horizon 23. The floor-agreement threshold 42189065 is a
certificate, not an enumerated loop. The canonical sine is not
evaluated. The auxiliary seed 1/2 is not that sine.

Supplied record: Python 3.13.5, status clock 2026-10-14T20:04:07Z.
Certificate SHA-256
daaee23b3c27bbb320d0f8db2c8d00a4a077f08e5fe0056864323873ddf71b19.
The supplied python_normal.json is 2820 bytes, SHA-256
eb4dab39fc196a2f1f09b9cac36f94ec0d28fae6595b07a349f28fc02dfbed91,
the digest named for that run. That match checks those bytes.
It does not itself verify that the recorded execution occurred.

This archive reran verify.py on Python 3.10.21, normal and python3 -O.
Both exited 0. Those two logs are byte-identical. They match the
supplied report except the runtime string 3.10.21 versus 3.13.5.
Matching mathematical fields supports execution agreement.

The hosted logs have recorded SHA-256 digests. Matching those digests
checks the logs' byte integrity. The logs document the archive's
reported executions. Rerunning the checker tests whether those results
are reproducible. A matching hash does not itself verify that the
recorded execution occurred or that the checker is mathematically
correct.

Julia and Rust were not run. No proof-assistant kernel was run.
Neural-performance and physical-unification claims are not established.
This is not an amendment of Paper VII.