Gardam's Ã₂ lattice has no unique products: Lean proof supplied by the author, written with intensive use of Claude
Status
Not evaluated
Recorded on · arxiv.org not confirmed
To be confirmed: seen only in a search-engine snippet.
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Search-engine snippet only (level 1 of 3)
No DiscoverIA status yet; this does not mean nobody has checked it.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
The gist
The authors of arXiv paper 2609.22380 claim, in 2026-09, that Gardam's Ã2 lattice has no unique products. The proof is checked by the Lean kernel and was written with heavy use of Claude. Status: not yet evaluated.
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-gardam-a2-no-unique-products-r1
@misc{discoveria-gardam-a2-no-unique-products-r1,
author = {{DiscoverIA}},
title = {Gardam's Ã₂ lattice has no unique products: Lean proof supplied by the author, written with intensive use of Claude},
howpublished = {DiscoverIA registry, entry gardam-a2-no-unique-products},
note = {Status « Not evaluated », snapshot 1, recorded on October 11, 2026. new result},
year = {2026},
url = {https://discoveria.ai/en/fiche/gardam-a2-no-unique-products/#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
- auteurs de arXiv 2609.22380 (Claude, juillet-septembre 2026)
announced on Sep 2026 - Nature
- new result
- Field
- Mathematics (group theory)
- Checked by
- Lean kernel; no third party
- Sources (domains)
- 1 : 1 links only
- This entry
- AI draft, not reviewed
To understand
Analogy
It is like looking in a huge multiplication table for a result that appears only once: the paper claims one can choose the lists so that no result stands alone.
What it changes
If the proof held, this lattice would be a case where the unique products property fails. The Lean kernel, which checks each step of the proof, would back this result.
What remains unclear
No third party has checked the proof, and the source was seen only as an excerpt: the date and full content are not confirmed. Claude's exact share in the writing is not specified, and the date is known only to the month.
1 source.
For experts
Sources(domains)
- primairearxiv.orglink only, reading not recorded
Method
Status “not evaluated” recorded on 11 October 2026 from arxiv.org (seen only in a search engine snippet).
Limits
This status is not confirmed: it rests on a search engine snippet. A Lean proof supplied by the claimant does not count as formal verification by a third party. DiscoverIA has recorded no independent evaluation as of this date.
It is like looking in a huge multiplication table for a result that appears only once: the paper claims one can choose the lists so that no result stands alone.
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent statusnot confirmed
Source: arxiv.orgsearch-engine snippet only
An observation is added; none is ever erased.
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