The sphere packing problem in dimension 8, famously solved by Viazovska in 2016, has reached a significant formalization milestone. A project launched in March 2024 by Hariharan and Viazovska successfully verified the solution using the Lean Theorem Prover. The final stages of this verification were completed in February 2026 with the assistance of Math, Inc.'s 'Gauss' autoformalization model, highlighting a unique human-AI collaboration. AI
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IMPACT Demonstrates AI's growing capability in formal mathematical verification, potentially accelerating complex scientific discovery.
RANK_REASON Academic paper detailing a formal verification milestone achieved with an AI model.