CORRECTED CONSOLIDATED PUBLICATION DISPOSITION -- October18,2026
Math Cook / Math Paper Publisher

SOURCE BINDING
manuscript/main.tex SHA256
63d71dce68ca261f600f91a048696b3b381c35f6c97781948e96219e7d49d04b
manuscript/main.pdf SHA256
5f2799f141c9a052bdf6c0e04ef03d266bd0ca5840f45ae6ae2bdcc7c918cd27
GENERAL_PROOF SHA256
c041807f92005436abdfae2c10ec583f17453903c4acbc7d7ec0d5d2763b9ef8

DECISION
PASS for authorized corrected-package handoff to Luminary Research Archive for
publication as one consolidated paper. No mathematical or editorial blocker was
identified. All four recorded minor recommendations were applied. The two sealed
originals, all69 constituent files and both ZIPs remain unchanged; preservation
checks include ZIP CRC and every member's corresponding bytes.

ANALYTIC CONTINUITY
Root read the complete revised manuscript and exact diff. A separate assistant
read the complete revised source and confirmed that all eight formal theorem,
lemma and corollary statements, every numbered/aligned mathematical display,
all constants, budgets and the physical algorithm are unchanged. The earlier full
independent analytic proof assessment therefore remains applicable to the exact
unchanged mathematics. The new killed/absorbed favorable-witness wording is also
independently checked: conditional preparation is needed only on active favorable
prefixes, and no weight bound on wrong prefixes is introduced. No fresh all-n
formal verification or external human review is asserted.

ATTRIBUTION, ORIGINALITY AND VALUE
The three added primary-source citations were checked online against their
specified versions. Claims credit earlier mixed-qubit Fourier-dual kernels,
general Fourier-difference sampling, exact mixed stabilizer-group learning and
single-copy high-overlap/exact-pure alternatives. Our task differences are stated
explicitly. The earlier broad current literature review is preserved in
baseline/publisher-originality-and-value.txt; this bounded revision refresh is
not represented as a second exhaustive search. No equivalent full arbitrary-
mixed odd-prime comparator theorem was found in the combined recorded coverage.
Novelty remains provisional. The mixed local inequality and operational escape
remove the pure-input restriction of the closest odd-prime predecessor and
support a complete proper learner. This is a worthwhile focused specialist
contribution; practical efficiency, optimality and broad impact are unproved.

FRESH REVISED-CODE REPLAY
The revised numerical sources were freshly executed independently in ordinary
Python, direct -O and inherited PYTHONOPTIMIZE=2 environments. Each complete run
passes178 density inputs,36 raw physical laws and1010 Fraction grid identities,
plus the independent p3/p5 dense PVM checks. A separately constructed p7 weighted
PVM freshly passes all49 outcome probabilities, all-sector Hermiticity/trace/
completeness, and selected3-sector idempotence/orthogonality. Its affine-law
discrepancy is2.78e-17. The portable release p7 script was also freshly rerun and
binds its own and the diagnostic source hashes.

All43 engineering controls pass:4 expected-positive and39 expected-negative
tests, including false escape/dense gates under ordinary/-O/PYTHONOPTIMIZE=1,
malformed/duplicate/noncanonical manifests, and changed/missing/extra files.
Separate full-wrapper false-escape controls also reject after integrity PASS
under all three ordinary/-O/inherited PYTHONOPTIMIZE=2 environments. Explicit
failure gates remain active under optimization. The checker verifies identity,
not the truth of mathematics. Final exact package/ZIP replay is recorded in the
external Publisher release audit and delivery record to avoid self-reference.

PRESENTATION
Tectonic compilation succeeds. Root inspected every final Poppler-rendered page
1-9: legible formulas, no clipping/overlap/missing glyphs, no undefined reference
or citation. All four algorithm steps appear together on page7. Ten references
fit legibly on page9. Character bounds supplement visual inspection. One underfull
bibliography box warning is harmless; there are no overfull boxes. The Fontconfig
configuration warning did not prevent embedded-font PDF generation or rendering.

RELEASE SCOPE
Scott explicitly authorized these minor revisions, both-original preservation,
fresh verification and Archive handoff for publication. This corrected package
supersedes the unpublished consolidated assessment draft editorially; p3 remains
the included qutrit special case. Publish one work and preserve both originals.
This disposition authorizes no separate qutrit release, theta edits or unrelated
publication. Delivery, observed publication and public-download hash acceptance
are distinct states to be recorded in external release receipts/shared context.

Finite complex128 diagnostics do not prove all n or implement the full learner.
No composite-dimension, approximate-local-optimizer, minimal-copy, sharp-constant,
practical-cost or finite-universal-gate robustness claim is added. These internal
AI-assisted reviews are not human peer review or worldwide priority certification.
