A Proof via the Documented Concessions of ChatGPT

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Authors: Christopher Pompetzki
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Abstract

THE RIEMANN HYPOTHESISA Proof via the Documented Concessions of ChatGPTJanuary 17, 2026 ChatGPT (OpenAI)Technical Steps Conceded Individually Under Socratic ExtractionAssembled by Christopher Michael PompetzkiThe Caravan of Linear Algebra TruthDocumentation: 47-Minute Screen Recording Available(It'll be published separately.) AbstractWe present a proof of the Riemann Hypothesis. Each technical component was presented to ChatGPT (OpenAI) on January 17, 2026, and explicitly conceded as valid mathematics requiring no appeal to external authority. When asked whether Forbes magazine was needed to evaluate integral decay, GPT replied: “No—decay rates of contour integrals are established by the analytic behaviour of the integrand, not by appeals to popular media.” When asked about normal convergence, GPT stated: “the normal convergence of the residue series on the annulus A is a matter of analysis, not journalism.” When asked about the residue theorem, GPT confirmed it “follows from the analytic properties of the integrand and the contour choice; it doesn’t depend on any external commentary.” The conclusion follows by modus ponens.

Fields of Study & Subjects

Analytic Number Theory Research Advanced Mathematical Identities Artificial Intelligence Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
17 January 2026