Problem detail · source-aware
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Dyn and Farkhi conjectured that the squared Hausdorff distance from a compact set to its convex hull is subadditive under Minkowski addition. It holds in dimensions one and two and fails from dimension three; the sharp threshold exponent for Hausdorff convexification is now determined.
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The acknowledgement thanks ChatGPT 5.5 Pro for helping prove Theorem 1.4 and for generating the TikZ code for the figures, so the credit names a specific theorem rather than the paper as a whole.
Provider: OpenAI · Prompt public: unknown · Independence: unknown
Single-author arXiv preprint; not yet peer-reviewed.
Correctness: unknown · statement fidelity: unaudited · peer review: none
pins the sharp threshold; the conjecture itself was already known false above dimension two
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.