Not evaluated
Milne's rationality conjecture (family 001)
The gist
On October 6, 2026, OpenAI announced a new result on Milne's rationality conjecture for abelian varieties, 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-001-milnes-rationality-conjecture-r1
@misc{discoveria-oai-fam-001-milnes-rationality-conjecture-r1,
author = {{DiscoverIA}},
title = {Milne's rationality conjecture (family 001)},
howpublished = {DiscoverIA registry, entry oai-fam-001-milnes-rationality-conjecture},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-001-milnes-rationality-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
Abelian varieties are geometric objects whose points can be added together. If the manuscript were correct, it would bring a new result on this conjecture, which OpenAI's repository files under number theory.
What remains unclear
No Lean proof (checkable by computer) is supplied for this family, and no third-party assessment is recorded. The sources read do not say whether the manuscript claims the whole conjecture or only part of 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 · Milnes-rationality…link only, reading not recorded
Method
The openai/math repository contains one manuscript, “Milne's rationality conjecture for abelian varieties”, dated October 7, 2026. The absence of Lean is inferred from the absence of a lean/docs/001.md file; OpenAI's README states that not all manuscripts have a Lean formalisation. According to history.md (October 7, 2026), this version updates a citation to a revised manuscript in the collection. 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 (Number theory)
- In openai/math
- family 001, section “Number theory”, 1 manuscript dated Oct 7, 2026
- Lean proof
- none supplied
- 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 1 of 372, by family number
- Not evaluated : Milne's rationality conjecture (family 001)
- Not evaluated : Full BSD formula for Selmer corank 0 or 1 (family 002)
- Not evaluated : Quasi-Riemann hypothesis: zero-free half-plane Re(s) > 7/8 (family 003)
- Not evaluated : Hilbert's tenth problem over Q (family 004)
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