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Releases: ipitchford/four-element-rowmotion-candidate

v0.1.0-candidate: four-element rowmotion obstruction

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@ipitchford ipitchford released this 30 Aug 16:15

Release notes: v0.1.0-candidate

Version DOI: https://doi.org/10.5281/zenodo.22178666

This first public candidate release contains:

  • a complete written proof that standard doubly boundary-normalized
    birational rowmotion has infinite order on a four-element d-complete poset;
  • a separate strict-cell Jordan-block proof for order-polytope
    piecewise-linear rowmotion;
  • exhaustive exact verification that no poset on at most three elements is a
    counterexample to either form;
  • exact producer replay in Python, language-separated JavaScript
    corroboration, and five semantic mutation controls;
  • the supplied full review, response matrix, source/novelty audits, and
    complete SHA-256 manifest.

The Hasse shape was already known, up to duality, and is also an asymmetric
two-segment fence. This release makes no historical-priority claim. It is an
anonymous, AI-assisted, unrefereed theorem candidate, not formal verification,
independent reconstruction, journal peer review, or journal acceptance.