Not evaluated
Counterexample to the nearby Lagrangian conjecture (family 340)
The gist
In its release of October 6, 2026, OpenAI claims a counterexample to the nearby Lagrangian conjecture, in symplectic geometry.
DiscoverIA status on October 11, 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 11, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 11, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-oai-fam-340-nearby-lagrangian-r1
@misc{discoveria-oai-fam-340-nearby-lagrangian-r1,
author = {{DiscoverIA}},
title = {Counterexample to the nearby Lagrangian conjecture (family 340)},
howpublished = {DiscoverIA registry, entry oai-fam-340-nearby-lagrangian},
note = {Status “Not evaluated”, snapshot 1, recorded on October 11, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-340-nearby-lagrangian#releve-1},
urldate = {2026-10-11}
}Dated link opens this snapshot in the history
To understand ≈ 10 s reading time, estimated
What it changes
If this counterexample were correct, the conjecture would be refuted. The sources read do not say in which precise setting it sits.
What remains unclear
The sources read give only the heading of the result: no manuscript title, no manuscript date, no information on a Lean file. No verification is on record.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · raw.githubusercontent.com
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.comlink only, reading not recorded
Method
The overview.tex file of the openai/math repository carries the heading “A counterexample to the nearby Lagrangian conjecture” (read on October 11, 2026). The entry's primary link is CONTENTS.md. DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 11, 2026 from github.com (page read, quotation checked word for word).
Limits
DiscoverIA has not checked this result itself.
Key facts
- Claimed by
- OpenAI
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (symplectic geometry)
- Checked by
- no verifier identified
- Sources
- 1 : 1 link only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
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 334 of 372, by family number
- Not evaluated : Cartan–Hadamard isoperimetry and CAT(0) fillings (family 337)
- Not evaluated : Yau's uniformization conjecture (family 338)
- Not evaluated : Katok's entropy rigidity conjecture (family 339)
- Not evaluated : Counterexample to the nearby Lagrangian conjecture (family 340)
- Not evaluated : Donaldson's hypersymplectic deformation conjecture (family 341)
- Not evaluated : Donaldson's tamed-to-compatible conjecture (family 342)
- Not evaluated : Sharp symplectic ball-packing criteria in higher dimensions (family 343)
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