Not evaluated
Unique tangent flows at the first surface singularity (family 355)
The gist
On October 6, 2026, OpenAI announced a manuscript dated September 24, 2026 claiming uniqueness of tangent flows at the first singular time of mean-curvature flow of embedded surfaces.
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-355-unique-tangent-flows-first-surface-r1
@misc{discoveria-oai-fam-355-unique-tangent-flows-first-surface-r1,
author = {{DiscoverIA}},
title = {Unique tangent flows at the first surface singularity (family 355)},
howpublished = {DiscoverIA registry, entry oai-fam-355-unique-tangent-flows-first-surface},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-355-unique-tangent-flows-first-surface#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 mean-curvature flow moves a surface with, at each point, a speed given by its mean curvature; an embedded surface has no self-intersection. If the manuscript held, tangent flows at the first singular time would be unique under the manuscript's hypotheses.
What remains unclear
No Lean (a language in which a computer checks every step of a proof) is supplied for this family, and no third-party assessment is read. The sources read are limited to the manuscript's title: its precise hypotheses do not appear in them.
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 · Tangent-flow-uniqueness…link only, reading not recorded
Method
Manuscript of September 24, 2026: “Uniqueness of tangent flows at the first singular time of embedded surface mean-curvature flow”. The family is titled “Unique tangent flows at the first surface singularity”. Section “Differential geometry”; history.md records 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 (Differential geometry)
- In openai/math
- family 355, section “Differential geometry”, 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 349 of 372, by family number
- Not evaluated : Finite-time singularity of Calabi flow (family 352)
- Not evaluated : The sharp dimension threshold for affine Bernstein rigidity (family 353)
- Not evaluated : Isoperimetric regions in the cubic three-torus (family 354)
- Not evaluated : Unique tangent flows at the first surface singularity (family 355)
- Not evaluated : Gigli's characterization of Alexandrov curvature (family 356)
- Not evaluated : Bi-Lipschitz coordinates at every regular RCD point (family 357)
- Not evaluated : A three-manifold with no conjugate points and no nonpositively curved metric (family 358)
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