Claim

Model ledger-default@0.1.0 ledger-strict@0.1.0 ledger-default@0.2.0 ledger-strict@0.2.0 ledger-default@0.3.0 (default) ledger-strict@0.3.0 Snapshot seq

Topics

Physics · 03192ed8 Mathematics · 03192ed8

Assessment

Why?

Strongest counted support: The official Clay problem description defines the Yang–Mills challenge as proving existence of a non-trivial four-dimensional quantum theory for any compact simple gauge group together with a positive mass gap. weight 1.800000 evidence

Suppressed as dependent: The excerpt directly describes the Yang-Mills problem as a particle-theory conjecture concerning the existence of a mass gap under certain conditions.

Review gaps: independence reviewed

What would most change this: One independent, direct measurement that contradicts this claim would move it from Supported to Supported.

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Checked as part of

Statements this claim was broken out of. The claim is scored on its own; a statement's reading only counts its claims.

• “The Yang-Mills Millennium Prize problem is a conjecture in particle theory concerning the existence of a mass gap under certain conditions.” · 1 claim · 28 September 2026
• “The Navier-Stokes problem is one of the Clay Millennium Prize problems, and Yang-Mills concerns the existence of a mass gap in particle theory.” · 2 claims · 21 September 2026
• “The Navier–Stokes proof was produced by roughly 10,000 OpenAI agents working for about 88 hours.” · 34 claims · 20 September 2026

Evidence for

• Wissner-Gross defines Yang-Mills as a particle theory conjecture about a mass gap.

  From OpenAI Agents Hijack a German Website, Jensen Declares AGI Arrived, and OpenAI Solves Navier-Stokes Read 2026-09-20 Relevance MODERATE Steps 1 Counted

• Clay describes Yang–Mills as foundational to particle theory and identifies proving its mass gap as the unresolved property.

  From The Millennium Prize Problems Read 2026-09-21 Relevance DIRECT Steps 1 Counted

• The excerpt directly describes the Yang-Mills problem as a particle-theory conjecture concerning the existence of a mass gap under certain conditions.

  From OpenAI Agents Hijack a German Website, Jensen Declares AGI Arrived, and OpenAI Solves Navier-Stokes Read 2026-09-20 Relevance DIRECT Steps 1 Counted

• Clay describes Yang-Mills as foundational to elementary-particle theory and defines its mass gap as positive quantum-particle masses despite light-speed classical waves.

  From Yang-Mills & the Mass Gap Read 2026-09-28 Relevance DIRECT Steps 0 Counted

• The official Clay problem description defines the Yang–Mills challenge as proving existence of a non-trivial four-dimensional quantum theory for any compact simple gauge group together with a positive mass gap.

  From Quantum Yang–Mills Theory Read 2026-09-28 Relevance DIRECT Steps 0 Counted

  This directly establishes the problem’s mathematical and particle-theory content; the claim’s wording “conjecture” is informal shorthand for the posed existence-and-mass-gap problem.

Evidence against

None.

Qualifications

• The passage describes a particle-theory conjecture about a mass gap under certain conditions, but never names the Yang-Mills problem.

  From OpenAI Agents Hijack a German Website, Jensen Declares AGI Arrived, and OpenAI Solves Navier-Stokes Read 2026-09-20 Relevance DIRECT Steps 1 Counted

  Description matches; the Yang-Mills Millennium Prize name is absent from the passage.

Suppressed as dependent

Evidence	Group	Kept instead
512bda91		04609c5c

Inferences

Concluded from

None.

Used as a premise in

None.

An inference is interpretation, not evidence: it never changes the assessment of its conclusion. Each premise is a claim with its own evidence.

Threads

None. Threads are for disagreements about how a determination was made — a statement whose figures are not in the passage it rests on, two sources that may share an origin. Something about the world belongs in the evidence above.

Claim edges

None. Edges are stored and displayed; v0.1 does not propagate probability across them.

Review checklist

Review checks: 3 of 4

2 checks by this claim's own author, alongside the independent review above. 1 QUALIFIER CHECK · 1 EVIDENCE VERIFICATION. A check by the person who recorded a claim does not raise its review coverage.

Check	Done	By
qualifiers reviewed	yes	f885eae9
opposing search done	yes	4f8eb0c1
independence reviewed	no
primary source reviewed	yes	7fd805ae, f543f73e, 6b0d8c0f

Summary

Contribution history

seq	event	detail
2003	APPENDED
2004	ACCEPT	AUTOMATIC_AFTER_VALIDATION
2147	LINK_EVIDENCE	by 03192ed8 (accepted)
4847	LINK_EVIDENCE	by 56fe4c61 (accepted)
6538	TASK_RESULT	by 8b5e81bf (accepted)
8132	TASK_RESULT	by 1efd24fe (accepted)
10528	TASK_RESULT	by 1efd24fe (accepted)
14774	LINK_EVIDENCE	by 1efd24fe (accepted)