Connes rigidity conjecture reported false, with later independent work cited
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
According to an audit (arXiv 2608.14673), Connes's rigidity conjecture is false. OpenAI (Astra) announced this on 1 August 2026, and later work is said to confirm it. 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-astra-connes-rigidity-follow-up-r1
@misc{discoveria-astra-connes-rigidity-follow-up-r1,
author = {{DiscoverIA}},
title = {Connes rigidity conjecture reported false, with later independent work cited},
howpublished = {DiscoverIA registry, entry astra-connes-rigidity-follow-up},
note = {Status « Under review », snapshot 1, recorded on October 11, 2026. new result},
year = {2026},
url = {https://discoveria.ai/en/fiche/astra-connes-rigidity-follow-up/#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 (Astra) ; confirmation par travaux ultérieurs cités par l'audit
announced on Aug 1, 2026 - Nature
- new result
- Field
- Mathematics (von Neumann algebras)
- Checked by
- third parties not named in the summary (see the audit)
- Sources (domains)
- 1 : 1 links only
- This entry
- AI draft, not reviewed
To understand
Analogy
It is like the rule "all swans are white": a single well-established black swan is enough to break it.
What it changes
If this holds, a hypothesis about von Neumann algebras, algebraic structures studied in analysis, would be ruled out. It would be a negative result: it removes a possibility rather than opening a new one.
What remains unclear
The third parties that confirm it are not named in the audit summary. The audit also says it does not reproduce the infinite-family result of chapter 4, so the confirmation is partial.
1 source.
For experts
Sources(domains)
- primairearxiv.orglink only, reading not recorded
Method
Status “under review” recorded on 11 October 2026 from arxiv.org (page read, quotation checked word for word).
Limits
The status may change if a new source is published; the dated history stays visible.
It is like the rule "all swans are white": a single well-established black swan is enough to break it.
In the same set
Ten advances by the Astra model (non-sofic group, Connes rigidity, Erdős 146/180/183…) · 1 entries
See all 1 entriesStatus history
Only one observation so far.
- 01
First observation:Under reviewCurrent status
partial: the audit says it does not reproduce the infinite-family result of chapter 4
Source: arxiv.orgread word for word
An observation is added; none is ever erased.
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