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EP message cancellation can leave a Gaussian's precision (pi) a tiny negative value — round-off of exactly zero. mu()/sigma() only special-cased pi == 0, so sigma() computed 1/sqrt(pi) = NaN for pi < 0. That NaN flowed through the moment-space Sub in the game diff-chain and poisoned every skill in the slice once it grew past ~75 competitors, making converge() return all-NaN on real-scale histories (regression vs 0.1.0, which stored sigma directly). Guard pi <= 0.0 in both accessors (improper Gaussian: mu 0, sigma infinite), matching the existing pi == 0 handling. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>