Not evaluated
Bi-Lipschitz coordinates at every regular RCD point (family 357)
The gist
On October 6, 2026, OpenAI published a manuscript on bi-Lipschitz coordinates at regular points of noncollapsed RCD spaces, 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-357-bi-lipschitz-coordinates-every-regular-rcd-r1
@misc{discoveria-oai-fam-357-bi-lipschitz-coordinates-every-regular-rcd-r1,
author = {{DiscoverIA}},
title = {Bi-Lipschitz coordinates at every regular RCD point (family 357)},
howpublished = {DiscoverIA registry, entry oai-fam-357-bi-lipschitz-coordinates-every-regular-rcd},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-357-bi-lipschitz-coordinates-every-regular-rcd#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 30 s reading time, estimated
What it changes
A map is bi-Lipschitz when it neither shrinks nor stretches the distance between two points by more than a fixed factor, the same for every pair of points. If the manuscript were correct, such coordinates would be local: defined near the regular points of RCD spaces of a particular type, called “noncollapsed”.
What remains unclear
The sources read do not state the manuscript's result. The family title speaks of every regular point of an RCD space, whereas the manuscript's title specifies “Noncollapsed RCD Spaces”. No Lean (a language in which a computer checks every step of a proof) is supplied, and the sources read report no third-party assessment.
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 · Bi-Lipschitz-Coordinates…link only, reading not recorded
Method
The manuscript “Bi-Lipschitz Coordinates at Regular Points of Noncollapsed RCD Spaces”, dated September 25, 2026, is the only one of family 357 listed in CONTENTS.md of the openai/math repository. There is no lean/docs/357.md; the repository README states: “Not all have accompanying Lean formalizations.” history.md reports 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).
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 357, section “Differential geometry”, 1 manuscript dated Sep 25, 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 351 of 372, by family number
- 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)
- Not evaluated : Negative Kähler curvature without bounded holomorphic coordinates (family 359)
- Not evaluated : Villani’s convexity conjecture and regular optimal transport (family 360)
Report an error or suggest a source
Thank you, your message was sent.
Sending failed. Try again, or write to contact@discoveria.ai.
Is your result listed?What each status requires, correcting this entry, replying to it.