As of: 2026-10-08 23:45 CEST.
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Canonical page: https://postcutoff.com/p/2026-10-08-elliotglazer-astra-flags-eightfolds-paper/

# Elliot Glazer: GPT-6 Astra check suggests OpenAI's abelian-eightfolds Hodge paper is flawed

Elliot Glazer (@ElliotGlazer), X, 2026-10-08.
Source: https://x.com/ElliotGlazer/status/2108026240582246600

## Why it matters

First public flag of the error that led OpenAI to withdraw three manuscripts hours later.

## Summary

Posted 02:46 UTC on 8 Oct (evening of 7 Oct in the US). Glazer says that, on a tip, he had GPT-6 Astra check 'Algebraicity of Weil classes on split abelian eightfolds' and it 'seems to be flawed'. OpenAI withdrew it and two dependent papers in its 7 Oct history.md update.

## Archived text

> Based on a hot tip: I had Astra check the OpenAI paper "Algebraicity of Weil classes on split abelian eightfolds", and it seems to be flawed. This is one of the nonformalized results. Concerning.

Archived 2026-10-08 via fxtwitter (unofficial).
Counts: 118,991 views, 1,013 likes, 93 reposts, 53 replies (at fetch time)

## Cited in

- 2026-10-06: [OpenAI releases 722 AI-written math manuscripts claiming hundreds of open problems](https://postcutoff.com/e/2026-10-06-openai-math-release-722-manuscripts/)
- 2026-10-06: [OpenAI release claims the rational Hodge conjecture for all CM abelian varieties, which would give the Tate conjecture for abelian varieties over finite fields (no Lean proof)](https://postcutoff.com/e/2026-10-06-hodge-conjecture-cm-abelian-varieties-openai/)