OpenAI Claims GPT-5.6 Sol Ultra Proved a 50-Year-Old Math Conjecture in Under an Hour

My take: An AI potentially solving the Cycle Double Cover Conjecture, an open problem in graph theory for over 50 years, using 64 parallel subagents in under an hour, is the kind of announcement that deserves both attention and caution. OpenAI published the proof on July 10 and mathematicians around the world are reviewing it in real time.

Context matters here: this conjecture has accumulated several claimed proofs over the years that turned out to have significant gaps. And since the authors of the claim are the same company that built the model being measured, it is worth waiting for independent verification before treating the result as settled. The fact that OpenAI is both judge and party does not mean the proof is wrong, but it does mean the numbers are worth reading with your own critical eye.

That said, the direction is clear regardless of the final outcome: AI is already operating in spaces where humans alone would take decades. What does your field do with tools that are beginning to move at this speed?