OMEGA CORE THEOREM
13 October 2026. Not a source paper. Not peer reviewed.

The hosted note states five conclusions and written arguments for them.
This archive has not reviewed those arguments as a proof.

The checker is an exact symbolic-algebra program with rational certificates
and a finite canonical-ledger audit. The finite audit covers seeds 0 through
32767 and horizon 23. It does not enumerate every integer below 42189065.
The symbolic checks use free variables or an indeterminate X. They are not
floating approximations to lambda. The canonical sine is not evaluated.

Run from this directory:
  python3 omega_geometry_recovery_verify.py
  python3 -O omega_geometry_recovery_verify.py

Standard library only. Python 3.10 or later.

Supplied record: Python 3.12.14, 13 October 2026.
It names source SHA-256
e044133aceefb442bfa226bdf61359a58bca413e12196f090ff19eef3ef84ab5.
That hash identifies the same source bytes as the hosted checker.
This archive reran both commands on Python 3.10.21. Both exited 0.
The two logs are byte-identical, and they match the body of the supplied
record. Matching pass lines 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.

Neither execution is a proof-assistant certificate, an independent
mathematical review, or a physical unification.