Not evaluated
Tensor saturation for even spin groups (family 204)
The gist
On October 6, 2026, OpenAI announced a manuscript on tensor saturation for even spin groups, from an unreleased internal model.
DiscoverIA status on October 12, 2026: not evaluated, meaning no third-party evaluation found.
AI draft, not reviewedWhat has not been reviewed?
Text written by an AI (DiscoverIA pipeline), on . 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.
Cite this entry
A single status snapshot since Oct 12, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 12, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-oai-fam-204-tensor-saturation-even-spin-groups-r1
@misc{discoveria-oai-fam-204-tensor-saturation-even-spin-groups-r1,
author = {{DiscoverIA}},
title = {Tensor saturation for even spin groups (family 204)},
howpublished = {DiscoverIA registry, entry oai-fam-204-tensor-saturation-even-spin-groups},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-204-tensor-saturation-even-spin-groups#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
Spin groups are groups of symmetries. The tensor product of two of their representations (ways of acting on a space) breaks down into simpler representations. If the manuscript were correct, it would tell which representations can appear in such decompositions.
What remains unclear
No third-party assessment has been found, and no Lean (a language in which a computer checks every step of a proof) is supplied. The sources read do not give the precise statement of the result.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · README.md
Step 1 of 4 on the scale: not evaluated. Next step: under review.
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 of 3)
The result is declared neither right nor wrong.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
Sources
- Main sourcegithub.com · CONTENTS.mdlink only, reading not recorded
- Repositorygithub.com · Tensor-Saturation-for…link only, reading not recorded
Method
The manuscript “Tensor saturation for even spin groups” is dated September 24, 2026. It is the only one in its family, filed under the section “Algebra” of overview.tex, and history.md reports no revision of it. DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 12, 2026 from github.com (page read, quotation checked word for word: “Not all have accompanying Lean formalizations.”).
Limits
DiscoverIA has not checked this result itself.
Key facts
- Claimed by
- OpenAI (unreleased internal model)
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (Algebra)
- In openai/math
- family 204, section “Algebra”, 1 manuscript dated Sep 24, 2026
- Lean proof
- none supplied
- Revisions
- none reported by the claimant
- Checked by
- no verifier identified
- Sources
- 2 : 2 links only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
Family with no Lean proof supplied. No third-party evaluation read.
Source: github.comread word for word
An observation is added; none is ever erased.
In the same set
openai/math: 719 manuscripts in 372 families from an unreleased internal model · entry 198 of 372, by family number
- Not evaluated : A counterexample to Kurosh's division-ring problem (family 201)
- Not evaluated : The blockwise Alperin weight conjecture (family 202)
- Not evaluated : Donovan's conjecture over fields and discrete valuation rings (family 203)
- Not evaluated : Tensor saturation for even spin groups (family 204)
- Not evaluated : Saxl's conjecture and universal tensor squares (family 205)
- Not evaluated : Finite lattice representation: counterexamples and undecidability (family 206)
- Not evaluated : The ℓ¹-Bass and complex Bass trace conjectures (family 207)
Report an error or suggest a source
Thank you, your message was sent.
Sending failed. Try again, or write to contact@discoveria.ai.
Is your result listed?What each status requires, correcting this entry, replying to it.