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A two-dimensional truth-known stochastic fixture compares endpoint laws from an exactly repeated start state using a fixed Gaussian-kernel MMD permutation procedure. This reproducibility report documents the analytic truth, seed-level estimates and p-values, finite-sample observed rates, hash-bound provenance, and the strict boundary of the synthetic result. It makes no claim about estimating unknown conditional laws or empirical, causal, or biological performance.
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Robin Langell (2026) studied this question.
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