Not evaluated
The chromatic Smith fixed-point problem for finite p-groups (family 314)
The gist
On October 6, 2026, OpenAI announced, from an unreleased internal model, a manuscript dated September 24, 2026 titled “Cyclic length and chromatic fixed-point loss”.
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-314-chromatic-smith-fixed-point-problem-finite-p-r1
@misc{discoveria-oai-fam-314-chromatic-smith-fixed-point-problem-finite-p-r1,
author = {{DiscoverIA}},
title = {The chromatic Smith fixed-point problem for finite p-groups (family 314)},
howpublished = {DiscoverIA registry, entry oai-fam-314-chromatic-smith-fixed-point-problem-finite-p},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-314-chromatic-smith-fixed-point-problem-finite-p#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
If the manuscript held, it would bear on the problem that family 314 titles “The chromatic Smith fixed-point problem for finite p-groups”. A finite p-group is a finite group whose number of elements is a power of the prime number p.
What remains unclear
No Lean (a language in which a computer checks every step of a proof) is supplied for this family, and no third-party assessment is read. The sources read are limited to the manuscript's title: they set out neither its result nor its exact link with the family's problem.
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 · Cyclic-Length-and…link only, reading not recorded
Method
A single manuscript, in the section “Topology” of the openai/math repository: “Cyclic length and chromatic fixed-point loss”. history.md records no revision. The manuscript's title does not match the family's title. 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 (Topology)
- In openai/math
- family 314, section “Topology”, 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 308 of 372, by family number
- Not evaluated : Chai's invariant-ideal conjecture (family 311)
- Not evaluated : The Grothendieck homotopy hypothesis (family 312)
- Not evaluated : Finite generation for the K(n)-local sphere (family 313)
- Not evaluated : The chromatic Smith fixed-point problem for finite p-groups (family 314)
- Not evaluated : The four-dimensional Singer conjecture (family 315)
- Not evaluated : Curtis’s conjecture (family 316)
- Not evaluated : Thomason model structures in every strict higher dimension (family 317)
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.