Not evaluated
The Margulis–Platonov conjecture over global fields (family 018)
The gist
In its release of October 6, 2026, OpenAI presents two manuscripts on the Margulis–Platonov conjecture, one over number fields and the other over global function fields.
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-018-margulisplatonov-conjecture-global-fields-r1
@misc{discoveria-oai-fam-018-margulisplatonov-conjecture-global-fields-r1,
author = {{DiscoverIA}},
title = {The Margulis–Platonov conjecture over global fields (family 018)},
howpublished = {DiscoverIA registry, entry oai-fam-018-margulisplatonov-conjecture-global-fields},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-018-margulisplatonov-conjecture-global-fields#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 manuscripts were correct, they would address the Margulis–Platonov conjecture over two kinds of global field: number fields and function fields. The conjecture describes the normal subgroups of certain matrix groups with entries in these fields.
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 where the question 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 · …global-function-fields…link only, reading not recorded
- Repositorygithub.com · …number-fields-September…link only, reading not recorded
Method
The openai/math repository holds two manuscripts: “The Margulis–Platonov conjecture over number fields” (September 23, 2026) and “The Margulis–Platonov conjecture over global function fields” (October 5, 2026). The absence of Lean is inferred from the absence of lean/docs/018.md; OpenAI's README states that not all manuscripts have a Lean formalisation. history.md reports no revision of these manuscripts. 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 018, section “Number theory”, 2 manuscripts dated Sep 23, 2026
- Lean proof
- none supplied
- Revisions
- none reported by the claimant
- Checked by
- no verifier identified
- Sources
- 3 : 3 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 18 of 372, by family number
- Not evaluated : Torus-packet equidistribution in prime, quartic, and sextic degrees (family 015)
- Not evaluated : Zilber–Pink in abelian varieties and the Siegel threefold (family 016)
- Not evaluated : OpenAI claims the irrationality exponent of π is 2 (family 017)
- Not evaluated : The Margulis–Platonov conjecture over global fields (family 018)
- Not evaluated : The p-adic section conjecture (family 019)
- Not evaluated : Squarefree quartics and power-free polynomial values (family 020)
- Not evaluated : A quadratic bound for Jacobsthal's function (family 021)
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