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The trick: Scope Swap

The prize is a million dollars for the whole Yang-Mills problem.

OpenAI claims one of its two parts, and the proof is not public.

Issue 5828 October 202611 receipts3 min
A climber with a sealed envelope plants a flag on the lower of two peaks while the taller peak stays bare.
AI illustration

OpenAI scooped human mathematicians on a million-dollar quantum math problem.

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The twist

The humans went public on 6 October; OpenAI dates its own result to 9 September.

$1 millionClay prize allocated to each Millennium problem
twoParts of the Yang-Mills problem
September 9Date OpenAI says its model reached the result
October 6Date the human pair first disclosed their work

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The trick has a name

We call it Scope Swap: applies to far less than it sounds like. You'll see it again. Learn to spot it →

Say this in tomorrow's meeting“OpenAI claims the existence half of the Yang-Mills prize problem. The mass gap is still open, and the proof has not been released.”

Receipts

  1. Supports scientificamerican.com: The new proof also scoops the work of two human mathematicians, one of whom just happens to be employed by OpenAI’s rival Anthropic.
  2. Context scientificamerican.com: He and Alpöge first revealed their burgeoning collaboration to the world on October 6.
  3. Context scientificamerican.com: arrived at the result on September 9.
  4. Context scientificamerican.com: On Monday evening OpenAI claimed a proof of the “existence” part of the Clay problem.
  5. Context scientificamerican.com: The problem has two parts: proving that the theory is mathematically consistent
  6. Refutes scientificamerican.com: The company has yet to release the proof; instead OpenAI opted to hand it off to a group of experts
  7. Context scientificamerican.com: There is no way it took one month to Lean-verify Yang-Mills
  8. Context thenextweb.com: The work includes a proof that pure Yang-Mills theory exists, which is part of one of the Clay Mathematics Institute’s Millennium Prize problems.
  9. Refutes thenextweb.com: That group chose not to release the AI-produced material for now and will write up the work itself.
  10. Context claymath.org: with $1 million allocated to the solution of each problem.
  11. Refutes claymath.org: But no proof of this property is known.

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