Not evaluated
Quillen's conjecture in rational homology (family 310)
The gist
In its release of October 6, 2026, OpenAI presents a manuscript, dated September 24, 2026, on rational homology and Quillen's conjecture.
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-310-quillens-conjecture-rational-homology-r1
@misc{discoveria-oai-fam-310-quillens-conjecture-rational-homology-r1,
author = {{DiscoverIA}},
title = {Quillen's conjecture in rational homology (family 310)},
howpublished = {DiscoverIA registry, entry oai-fam-310-quillens-conjecture-rational-homology},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-310-quillens-conjecture-rational-homology#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 were correct, it would bring a result on Quillen's conjecture in the setting of rational homology. The sources read give only its title, not the statement.
What remains unclear
No third-party evaluation was read and no Lean file is provided for this family. The sources read do not show where Quillen's conjecture stood before the announcement.
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 · Rational-homology-and…link only, reading not recorded
Method
The stated origin is an unreleased internal model from OpenAI. The openai/math repository holds the manuscript “Rational homology and Quillen's conjecture”, dated September 24, 2026, in the “Topology” section. There is no lean/docs/310.md; history.md reports no revision. 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 310, 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 304 of 372, by family number
- Not evaluated : Failure of rational injectivity for maximal coarse assembly (family 307)
- Not evaluated : Smith–Toda complexes at every height with varying primes (family 308)
- Not evaluated : The Kervaire invariant problem at the prime three (family 309)
- Not evaluated : Quillen's conjecture in rational homology (family 310)
- 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)
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