Citing these drafts

These are AI-generated mathematical drafts, not peer reviewed or independently verified by human experts. The current Markdown editions carry the byline Henry Zweiman at his request. The immutable links below preserve the earlier PDF versions.

The following links identify the exact initially published PDF bytes at commit 82b56ffca64adad52306f04d4b8c354143a26f85. Later revisions do not change these links. Use the paper title, identifier, date, and permanent URL in a reference. BibTeX entries are also supplied without inventing author metadata.

• P01: Lefschetz properties of fully whiskered simplicial complexes. AI-generated research draft, September 8, 2026. Permanent PDF link.
• P02: Squarefree repair factors and optimal exponents for linear recurrences. AI-generated research draft, September 8, 2026. Permanent PDF link.
• P03: Maximum-degree local permutation polynomials over the prime field. AI-generated research draft, September 8, 2026. Permanent PDF link.
• P04: Divisors and unique factorizations of Carlitz binomial polynomials. AI-generated research draft, September 8, 2026. Permanent PDF link.
• P05: Symbolic defect and normalization of whiskered cover ideals. AI-generated research draft, September 8, 2026. Permanent PDF link.
• P06: Prime support and growth of Stirling repair factors. AI-generated research draft, September 8, 2026. Permanent PDF link.
• P07: Irreducible compositions in an exceptional unicritical family. AI-generated research draft, September 8, 2026. Permanent PDF link.
• P08: Componentwise polymatroidality is not preserved by homological shifts. AI-generated research draft, September 8, 2026. Permanent PDF link.
• P09: Unique addition in centerless metabelian Lie algebras. AI-generated research draft, September 8, 2026. Permanent PDF link.
• P10: Counterexamples to a conjecture on one-sided restricted sumsets. AI-generated research draft, September 8, 2026. Permanent PDF link.
• P11: Finite parameter tests for partition congruences and the surviving classes of an elongated partition conjecture. AI-generated research draft, September 8, 2026. Permanent PDF link.
• P12: Sharp orders of arithmetical critical groups via canonical lattice simplices. AI-generated research draft, September 8, 2026. Permanent PDF link.
• P13: Nilperiod rings and additive periods of power maps. AI-generated research draft, September 8, 2026. Permanent PDF link.

Five stronger revisions

The selected revision citations and BibTeX identify the new manuscripts by their immutable content commit. The original citation links above remain valid.

P53

Henry Zweiman. Endpoint saddles and the local classification of eigenvalue–torsion critical domains. Version 1.0, September 16, 2026. AI-assisted unreviewed preprint. Manuscript and citation metadata.

P54

Henry Zweiman. A spherical Weinstock inequality at large perimeter. Version 1.0, September 16, 2026. AI-assisted unreviewed preprint. Manuscript and citation metadata.

P55

A planar comparison argument for radial bound states. Research draft prepared for Henry Zweiman. Version 0.2.1, September 17, 2026. AI-generated, unreviewed proof reconstruction; no first-proof claim. Manuscript and citation metadata.

P56: Negative real zeros of a rising-factorial transform

Henry Zweiman. Negative real zeros of a rising-factorial transform. Research preprint, version 1.0, September 22, 2026. Manuscript, PDF, CITATION.cff. Prepared with OpenAI Codex; not peer reviewed.

P57: Positivity and counterexamples for rising-factorial Toeplitz determinants

Henry Zweiman. Positivity and counterexamples for rising-factorial Toeplitz determinants. Research preprint, version 1.0, September 22, 2026. Manuscript, PDF, CITATION.cff. Prepared with OpenAI Codex; not peer reviewed; historical priority unverified.