SIGNALAI·Jun 1, 2026, 4:00 AMSignal0Short term

Progress in Formalizing Sphere Packing in Dimension 8

Source: arXiv cs.AI

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Progress in Formalizing Sphere Packing in Dimension 8

arXiv:2604.23468v3 Announce Type: replace-cross Abstract: In 2016, Viazovska famously solved the sphere packing problem in dimension $8$, using modular forms to construct a 'magic' function satisfying optimality conditions determined by Cohn and Elkies in 2003. In March 2024, Hariharan and Viazovska launched a project to formalize this solution and related mathematical facts in the Lean Theorem Prover. A significant milestone was achieved in February 2026: the result was formally verified, with the final stages of the verification done by Math, Inc.'s autoformalization model 'Gauss'. We discus

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