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claude-plugins-official/plugins/math-olympiad/README.md

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# math-olympiad
Competition math solver with adversarial verification.
## The problem
Self-verification gets fooled. A verifier that sees the reasoning is biased toward agreement. arXiv:2503.21934 ("Proof or Bluff") showed 85.7% self-verified IMO success drops to <5% under human grading.
## The approach
- **Context-isolated verification**: verifier sees only the clean proof, never the reasoning trace
- **Pattern-armed adversarial checks**: not "is this correct?" but "does this accidentally prove RH?" / "extract the general lemma, find a 2×2 counterexample"
- **Calibrated abstention**: says "no confident solution" rather than bluff
- **Presentation pass**: produces clean LaTeX/PDF after verification passes
## Validation
17/18 IMO+Putnam 2025 problems solved, 0 false positives, 2 novel proofs found. See the skill's eval data in the [anthropic monorepo](https://github.com/anthropics/anthropic/tree/staging/sandbox/sandbox/ralph/math_skills/eval_harness).
## Install
```
/plugin install math-olympiad@claude-plugins-official
```
## Use
```
> Solve this IMO problem: [statement]
```
The skill auto-triggers on "IMO", "Putnam", "olympiad", "verify this proof", etc.