In modern AI-era mathematics, a new question matters more than ever:
Can a proof be re-verified by a third party using only finite steps?
The PDF released today is a concrete example of such a framework:
a Σ₁-type consistency certificate.
Using the case study of prime distribution (Prime Gravity / explicit formula), it shows:
All error terms, constants, and bounds reduced to finite rational tables
A checkable sequence of inequalities that does not rely on infinite analysis
A fully recomputable structure that anyone can verify independently
This is not “a new theorem.”
It is a proposal for a new proof infrastructure: a layer that sits between AI and mathematics, enabling finite, transparent, independently verifiable reasoning.
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[ 3.2 ms ] story [ 14.7 ms ] threadThe PDF released today is a concrete example of such a framework: a Σ₁-type consistency certificate.
Using the case study of prime distribution (Prime Gravity / explicit formula), it shows:
All error terms, constants, and bounds reduced to finite rational tables
A checkable sequence of inequalities that does not rely on infinite analysis
A fully recomputable structure that anyone can verify independently
This is not “a new theorem.” It is a proposal for a new proof infrastructure: a layer that sits between AI and mathematics, enabling finite, transparent, independently verifiable reasoning.
PDF on Zenodo: https://zenodo.org/records/17645277
Discussion welcome.