Ten advances by the Astra model (non-sofic group, Connes rigidity, Erdős 146/180/183…)
Status
Under review
Recorded on · arxiv.org
- Announced
- Recordedunder review
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 of 3)
Public review under way, no verdict yet.
To move to “Peer reviewed”: a journal publication or a review by named experts. A sourced public objection would move it to “Contested”.
The gist
OpenAI announced on 1 August 2026 ten mathematical advances achieved by an internal version of Astra. An audit (arXiv 2608.14673) says no confirmed substantive error remains in a principal result. Status: under review.
Cite this entry
A single status snapshot since Oct 11, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 11, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-oai-astra-ten-advances-2026-08-01-r1
@misc{discoveria-oai-astra-ten-advances-2026-08-01-r1,
author = {{DiscoverIA}},
title = {Ten advances by the Astra model (non-sofic group, Connes rigidity, Erdős 146/180/183…)},
howpublished = {DiscoverIA registry, entry oai-astra-ten-advances-2026-08-01},
note = {Status « Under review », snapshot 1, recorded on October 11, 2026. new result},
year = {2026},
url = {https://discoveria.ai/en/fiche/oai-astra-ten-advances-2026-08-01/#releve-1},
urldate = {2026-10-11}
}Dated link opens this snapshot in the history
Text written by an AI (DiscoverIA pipeline), on Reviewed by: nobody yetReport an error
What has not been reviewed?
The status and its sources come from the registry; only the explanatory text has not been reviewed. A reported error is corrected, then the text is reviewed.
The status and its sources come from the registry; only the explanatory text has not been reviewed. A reported error is corrected, then the text is reviewed.
Key facts
- Claimed by
- OpenAI
announced on Aug 1, 2026 - Nature
- new result
- Field
- Mathematics (mathematics / theoretical computer science)
- Checked by
- claimant; partial third-party reviews (audit)
- Sources (domains)
- 2 : 1 read word for word, 1 links only
- This entry
- AI draft, not reviewed
To understand
Analogy
It is like a manufacturer presenting ten parts made with a new machine while an outside inspector examines them one by one.
What it changes
If these results held, an AI model would have contributed to a range of research results: a non-sofic group, the refutation of Connes rigidity, Erdős problems. One of them, Connes rigidity, already has its own separate entry, also under review.
What remains unclear
The manuscripts were written by humans with the same model, and the Lean certificates were produced by the model and supplied by OpenAI. Only partial reviews by third parties exist. Chapter 8 of the audit expresses the strongest reservation: a specialist reviewer asks for a major revision.
2 sources.
For experts
Sources(domains)
- primaireopenai.comlink only, reading not recorded
- source-statutopenai.compage read word for word · consulted on Oct 11, 2026 ·
The results were achieved by an internal version of Astra
Method
Status “under review” recorded on 11 October 2026 from arxiv.org (page read, quotation checked word for word).
Limits
A Lean proof supplied by the claimant does not count as formal verification by a third party.
It is like a manufacturer presenting ten parts made with a new machine while an outside inspector examines them one by one.
Parts of this announcement (1)
| Title | Status |
|---|---|
| Connes rigidity conjecture reported false, with later independent work cited | Under review |
Status history
Only one observation so far.
An observation is added; none is ever erased.
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