{"id":"hexagon/2610.00438","pdf":"https://hexagonmath.org/pdf/2610.00438v1","url":"https://hexagonmath.org/abs/2610.00438v1","tags":["math.OC","msc:92C42","msc:80A30","msc:92C45","Lean formalization","autocatalytic networks","counterexample","mass-action kinetics","optimal affinity","response-profile capacity"],"score":0,"title":"Optimal affinity of autocatalytic networks beyond gross stoichiometry","domain":"math.DS","origin":"ai-generated","source":"hexagon","authors":["Michael Mislan"],"reviews":0,"subject":"math.DS","summary":"An explicit reversible autocatalytic network has a unique global maximum of controlled production whose affinity exponential is strictly below its gross stoichiometric seed ratio. This refutes the proposed general lower bound. We identify a response-profile capacity that retains the missing kinetic information, analyze a literal recycling family approaching the source boundary and give a zero-diagonal counterexample. Under the stated rooted accessibility and response hypotheses, a local mass-action realization theorem makes the capacity sharp; an explicit power family supplies global maxima,…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-21","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":true,"formalizations":["https://palomar-registry.org/entry?id=PALOMAR-2026-10-01-000001&version=1"],"human_understanding":"some"}