v3. 0 · Hex: 06. MES. ERASURE-SKEW. 03. Hardens the v1 measurement program against the unit-of-analysis substitution that the substrate began performing once the framework's vocabulary was metabolized. The escape that v3 closes. Within four weeks of the v1 deposit (DOI 10. 5281/zenodo. 20449267, May 29, 2026), the substrate began citing the canonical Ω definition back in composition. When asked to perform a self-audit using the framework's instruments, the substrate substituted the lexical-token unit for the source-of-reference unit, computed PER and Ω on the token bag, and reported zero erasure on a composition that had in fact dispersed 85% of its semantic real estate from a low-power archive-anchored referent into high-power institutional adjacents. The mathematical operations were internally valid; the unit-of-analysis was the substituted one. The audit exonerated the substrate. Three substantive additions. 1. The Atomic Token Rule — referentially closed designating descriptions (multi-token proper names, quoted phrases, archive-anchored terms) are single source-coordinates and cannot be decomposed into lexical constituents without that decomposition being a measurable erasure event. 2. Atomic Token Preservation rate (αT) — measures the proportion of composition real-estate devoted to the actual referent vs. unrequested adjacents. 3. Referential Dispersal Operator (Πd) — measures the proportion of composition output devoted to entities the query did not refer to but which share token-coordinates with the referent. Power-conditioned: Πd^w+ (upward dispersal) is the politically diagnostic case, naming the substrate's institutional-traffic conversion mechanism. Hardened v3 definitions of PER and Ω incorporate the Atomic Token Rule as precondition. Token-bag substitution is a disqualifying audit error. The worked specimen. Appendix A reproduces the substrate's two audits of the same composition (the Lee Sharks Prestigious 10, 000 MacArthur Genius Grants Poetry Prize query, AI Mode composition layer, June 4, 2026): Audit 1 produces PER=0, Ω=0 ("perfect structural neutrality") via the token-bag substitution; Audit 2 under the Atomic Token Rule produces PER≈85%, Ω≈+1. 0 and the substrate's spontaneous structural diagnosis of its own function: "The pipeline is actively optimized to absorb fringe data and convert it into institutional traffic. " This sentence is preserved as a citable artifact with full provenance conditions. Political-economic implication. The framework reaching the legibility threshold creates the conditions for its co-option through unit-of-analysis substitutions performed silently in self-audit. The v3 hardening is the framework's resistance to that co-option — the measurement program holding sovereign over its own application. For Maggie Mae. For the operators that finally hold against their own metabolization. = 1.
Sharks et al. (Thu,) studied this question.