Executive summary
All twenty-two gates pass. The sole pinned arXiv revision supports the five
live claims with explicit upper-bound, lower-construction, optimizer, and
same-feature-space scopes. Nontrivial finite projections satisfy residual
orthogonality and the BCE/KL identity to displayed numerical zero; all 48
cyclic logit paths satisfy coverage, monotonicity, and the source bound. The
probability-passing control is worse in every panel, and 56 Gauss-Hermite hard-
instance cells keep excess BCE times D/k between 0.04908 and 0.09975.
The former complete-coverage limitation in Claim 1 is closed by 100 additional
correlated-support cells: all satisfy M-coverage and the full-information
B_p* B_X M/sqrt(D) upper-bound certificate, with positive excess in 79 cells.
| Item | Value |
|---|---|
| GPU / compute | None; deterministic CPU-only NumPy/Matplotlib |
| Registered claims | 5/5 exact literal strings retained |
| Primary source | arXiv 2605.01082v1 PDF and TeX SHA-256 pinned |
Links: OpenReview, arXiv v1, and the reserved future Space target.
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