Not evaluated
The hypercube Ramsey conjecture (family 171)
The gist
In its release of October 6, 2026, OpenAI claims that the hypercube Ramsey number has linear order.
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-171-hypercube-ramsey-conjecture-r1
@misc{discoveria-oai-fam-171-hypercube-ramsey-conjecture-r1,
author = {{DiscoverIA}},
title = {The hypercube Ramsey conjecture (family 171)},
howpublished = {DiscoverIA registry, entry oai-fam-171-hypercube-ramsey-conjecture},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-171-hypercube-ramsey-conjecture#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
A Ramsey number is the smallest size that guarantees the pattern sought is present. If the manuscript held, it would describe how this number grows for the hypercube. The sources read do not say which parameter this growth depends on.
What remains unclear
No independent assessment is recorded, and no Lean (a language in which a computer checks every step of a proof) is supplied (no lean/docs/171.md). The entry title mentions a conjecture; the sources read do not say whether this manuscript resolves it.
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 · The-hypercube-Ramsey…link only, reading not recorded
Method
OpenAI publishes one manuscript, “The hypercube Ramsey number has linear order”, dated September 23, 2026. The repository README states: “Not all have accompanying Lean formalizations.” 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).
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 (Combinatorics)
- In openai/math
- family 171, section “Combinatorics”, 1 manuscript dated Sep 23, 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 165 of 372, by family number
- Not evaluated : Combinatorial invariance of Kazhdan–Lusztig polynomials (family 168)
- Not evaluated : The Shareshian–Wachs e-positivity conjecture (family 169)
- Not evaluated : Sharp logarithmic exponents for off-diagonal Ramsey numbers (family 170)
- Not evaluated : The hypercube Ramsey conjecture (family 171)
- Not evaluated : Classification of finite Euclidean Ramsey configurations (family 172)
- Not evaluated : Seymour's second-neighborhood conjecture (family 173)
- Not evaluated : Deterministic construction of strong thin spanning trees (family 174)
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