What question did this study set out to answer?

This document aims to provide a formal and self-consistent record of the proof chain for the conditional Riemann Hypothesis.

June 21, 2026Open Access

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Theorema Aureum 143 — Pistus-Theoria Certificate v1.3 (2026-06-19)

Key Points

This document aims to provide a formal and self-consistent record of the proof chain for the conditional Riemann Hypothesis.
Archived version v1.3 includes SHA-256 values and file surface mappings recorded from the trace dashboard.
Documents conditions of the proof chain with specific mappings (Route B) for various components.
Aims to maintain consistency with a colophon that links the proof to a specific DOI.
The canonical version of the document is confirmed, matching the published DOI.
Details such as conductor value (N=143) and genus (g=13) are noted, along with specific SHA hashes for verification.
The status of the Riemann Hypothesis remains open, with no claims for the Clay Prize.

Abstract

Formal archival record v1. 3 (self-consistent colophon) of the Theorema Aureum 143 conditional Riemann Hypothesis proof chain (C01-C17). v1. 3 is the canonical version: the PDF colophon DOI matches this deposit's own DOI (10. 5281/zenodo. 20765028). All SHA-256 values and Route B file-surface mappings are taken verbatim from the /trace dashboard (artifacts/theorema-certs/src/pages/trace. tsx). C16 SHA: 2bee78633961d2bb. . . (trace) ; C01 SHA: d54dedddfc6c1012. . . (trace). Route B: B1->C01+C03, B2->C02, B3->C14, B4->C02+C06, B5->C06+C07. Pinned: omega²=24, conductor N=143, genus g=13, Hecke dim=1859. RH is OPEN. Conditional combinator chain only. No Clay Prize claim. Axiom footprint: classical trio. Zero sorry.

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Theorema Aureum 143 — Pistus-Theoria Certificate v1.3 (2026-06-19)

Key Points

Abstract

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