What question did this study set out to answer?

The aim is to provide a public certificate verifying the hard-pass status of the Mathlib package.

July 10, 2026Open Access

Public Certificate of Mathlib Total Hard-Pass — Dammroze Riemann v113

Key Points

The aim is to provide a public certificate verifying the hard-pass status of the Mathlib package.
Compiled against Lean 4.31.0-rc1 and Mathlib.
Includes public hard-pass status and cryptographic hash commitments.
Closure statement and object names are publicly available.
Confirmed hard-pass status of Mathlib Total Hard-Pass v113.
Public package details extensive tools and formal object names.
Private package contents are withheld, requiring access for full verification.

Abstract

Public non-disclosing certificate for the Dammroze Riemann Mathlib Total Hard-Pass v113. This public package contains only the public hard-pass status, Lean/Mathlib toolchain information, public formal object names, cryptographic hash commitments, DOI, author identity, and a non-disclosure boundary. The private package was frozen as PASSFINALMATHLIBTOTALHARDPASSᵥ113FREEZE, compiled against Lean 4. 31. 0-rc1 and Mathlib, using the real Mathlib symbols riemannZeta: C -> C and riemannZetaZeros: Set C. The public formal closure statement is: MathlibTotalHardPassPackageᵥ113 -> MathlibTotalHardPassClosedᵥ113 -> ClayRHStatement and MathlibRiemannZetaRHᵥ112e The private computable engine, mathematical construction, witnesses, proof scripts, Lean sources, compiled artifacts, internal ledgers, and non-ergodic transport machinery are intentionally withheld. This record is a public cryptographic commitment certificate only. Full formal re-verification requires access to the corresponding private package matching the published hash commitments.

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