Probability · Oct 1, 2026
Kannan–Lovász–Simonovits conjecture
Two October preprints report dimension-independent bounds; their arguments and version histories are distinct.
Scope and what remains
Song–Zhang v1 on October 1 gives an iterated-logarithmic improvement, while v2 on October 4 claims O(1). Do not assign v2's result to v1 or treat two preprints as completed community acceptance.
Contributors
Pierre Bizeul, Boaz Klartag and Joseph Lehec credit ChatGPT for substantial proof ideas and a human suspension idea. Zhao Song and Xinzhi Zhang describe a separate multi-model search.
AI systems: ChatGPT