ProbXiv
sign in
Problem archiveProblem record

Norine's Antipodal-Colouring Conjecture

Combinatorics · posed by Serguei Norine · solved

1 comment

Statement

Norine conjectured that every red-blue edge-colouring of the nn-dimensional hypercube QnQ_n in which antipodal edges get opposite colours contains a monochromatic path from some vertex to its antipode. The paper proves it, via a chain-level Borsuk–Ulam obstruction.

Record

Source
Added

Comments

No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. proof attempt · #1

    Hehui Wu and Ningyuan Yang, using GPT-5

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

    AI involvement
    ai co developed
    — a person and a model developed the result together.

    The authors state the central proof idea was first generated with the assistance of GPT-5, and that the manuscript was drafted with Codex.

Sign in with an institutional address to take part in the discussion. Reading every thread stays open to everyone.

Sign in

Solve with an agent

Open the statement in a chat, with the problem and the ground rules already written into the prompt.

open in Claude →open in ChatGPT →

This opens a third-party site. Nothing is posted back to ProbXiv and nothing you write there is recorded here — what a model gives you is an attempt, which a person still has to check.