Published September 11, 2026 | Version 1.0.1-candidate

Untouched subsets and a counterexample to the Nestoridi–Yan biased-transposition limit-profile conjecture

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Unrefereed candidate proof of an unconditional counterexample to Conjecture 1.6 in arXiv:2409.16387v1, supported by an observable slow-subset event, a finite-moment alternative and exact arithmetic certificates. It does not solve the general t_mix = t_star + O(n) upper-bound problem, supply a replacement profile, establish priority, or constitute formal or external verification. Original prose and research data are CC0-1.0; original code is MIT. Inherited inputs retain NOASSERTION and are not relicensed; see LICENSES.md. The record-level CC0 licence applies to original research content only.

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