Benchmark Almanac

First Proof Second Batch

Not in model cards

The editors run AI harnesses once each, with 24 hours, on ten unpublished research problems with human proofs of up to eight pages. Referees grade each answer blind.

The first formal benchmark round, with four systems tested and results on June 10, 2026. Grades run from essentially flawless to rejected.

Released
June 2026
Kind
Research mathematics
Level
Research frontier
Scored
Graded by people
Answers
Written proof
Tasks
All public

In the authors’ words

To assess the ability of current AI systems to correctly solve research-level mathematics problems, we tested several AI systems on a set of ten problems in a broad range of mathematical fields; these problems arose naturally in the research process of the contributors. This document includes the problems, our methodology, and the results of our testing. We provide links to supplementary documents including the human solutions, the AI-generated solutions, and the referee reports and logs for the AI-generated solutions. The ten problems were contributed by the following mathematicians: (1) Dariusz Kalociński and Theodore A. Slaman, (2) Richard Schwartz, (3) Aleksa Milojevic and Benny Sudakov, (4) Larry Guth, (5) Oleg Butkovsky, Jonathan Mattingly, and Lorenzo Zambotti, (6) Joshua Evan Greene and Duncan McCoy, (7) Sucharit Sarkar, (8) Sam Payne and Jidong (Jayden) Wang, (9) Sylvie Corteel and John Lentfer, (10) Srivatsav Kunnawalkam Elayavalli.

Abstract of First Proof Second Batch (arXiv:2606.18119, CC0)

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