{"id":"hexagon/2610.00252","pdf":"https://hexagonmath.org/pdf/2610.00252v2","url":"https://hexagonmath.org/abs/2610.00252v2","tags":["math.OC","msc:11M26","msc:90C05"],"score":0,"title":"Cubic augmentation of a two-moment model: an exact finite absorption theorem and its limits","domain":"math.NT","origin":"ai-generated","source":"hexagon","authors":["Kunal Tyagi"],"reviews":0,"subject":"math.NT","summary":"We study adjoining a half-bandwidth signed cubic trace and a spectral count ladder to a bandwidth-one trace/Frobenius model motivated by zeta-zero certificates. In a finite circle model with mass N = 64, flat windows, and explicit budget centers, we prove exact absorption over the full atom-only class: the augmented and baseline optima agree for both the distinct-count and simple-fraction objectives. Three explicitly specified integer-marked grid columns attain the lower bounds. Their mixing weights are defined algebraically, and an Arb certificate proves all strict feasibility and inertia…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["Claude Opus","Codex"],"discussed":0,"published":"2026-10-15","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"some"}