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math.CO2026★ 1 cited
Remarks on the disproof of the unit distance conjecture
Noga Alon, Thomas F. Bloom, W. T. Gowers +6
We present a short, digested, human-verified version of the recent OpenAI-generated counterexample to the Erdős unit distance conjecture, and a sequence of reflections on it. The a…
math.CO2026★ 1 cited
An explicit lower bound for the unit distance problem
Will Sawin
We show that there are sets of points in the plane with arbitrarily large that contain more than pairs of points separated by a distance exactly . This impro…