Skip to content

OPENAI MATH · RESEARCH EXPLAINED

OpenAI Math.
Explore the frontier.

Explore OpenAI Math on GitHub through independent research explainers, original papers and interactive experiments. Understand what a result establishes—and which questions remain open.

6 curated storiesEN / 中文Reading & experiments use no credits
IN FOCUS · OPENAI MATH

OpenAI Math: from manuscript to proof.

A reader’s guide to manuscripts, formal verification and mathematical consensus, through OpenAI’s public research collection.

Explore the OpenAI Math project

Sources checked: 2026-10-20

Independent educational commentary, with no affiliation or partnership with OpenAI. These links lead to original project materials.

GitHub · openai/mathOriginal research repositoryManuscript catalogueFind papers and result familiesLean verificationRead how formal artifacts are checkedRevision historyFollow corrections and revisions

6 stories

Open problem

Number theory

The Riemann hypothesis

Is there a hidden order in the primes?

Undergraduate → researchExplore
Open problem

Computation

P vs NP

Is finding an answer as easy as checking it?

High school → researchExplore
Claim under review

Analysis & fluids

The Navier–Stokes question

Can smooth fluid motion break down?

Calculus → researchExplore
Open problem

Geometry

The Hodge conjecture

Can equations recover a space’s hidden geometry?

Graduate → researchExplore
Research explainer

AI & verification

OpenAI Math: understanding the research

What does it take for a new result to be trusted?

All curious readersExplore
Solved landmark

Topology

The Poincaré conjecture

What can loops tell us about a whole space?

Undergraduate → researchExplore

How we label progress

Last editorial check: 2026-10-20

A proposed proof, formal artifacts and mathematical consensus are different kinds of evidence. Each story records scope, original sources and its review date. Status changes need editorial review; an AI summary does not automatically mark a problem solved.

Experiments build intuition. Finite calculations, pictures and numerical checks do not replace a general proof.