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Khabre desk
Recent reporting, analysis and explainers from the Mathematics desk.
science
A mathematics preprint argues that Lean’s verification of a formal proof does not guarantee that the proof faithfully represents the original natural-language argument. The authors say this mismatch occurs in the formalisation of OpenAI’s announced Navier–Stokes blow-up proof.
science
OpenAI’s public math repository lists 722 manuscripts across 372 related-work families, produced through an evaluation using an unreleased internal model. The company says the manuscripts are at different stages of verification, and not all have Lean formalizations.
science
OpenAI’s public repository catalogues 722 mathematical manuscripts in 372 families, produced mostly with an unreleased internal model. The company says the results are at different stages of verification, and many—but not all—have Lean formalizations.
science
An arXiv preprint describes Chair44, a single polyhedral tile that the author says fills three-dimensional space only in arrangements with no translational period. The reported proof combines geometric constraints with exhaustive finite checks and Lean 4 formalization.