Not evaluated
Global uniqueness in smooth isotropic elasticity (family 372)
The gist
On October 6, 2026, OpenAI announced, from an unreleased internal model, a manuscript claiming global uniqueness for the smooth isotropic elasticity inverse problem.
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-372-global-uniqueness-smooth-isotropic-r1
@misc{discoveria-oai-fam-372-global-uniqueness-smooth-isotropic-r1,
author = {{DiscoverIA}},
title = {Global uniqueness in smooth isotropic elasticity (family 372)},
howpublished = {DiscoverIA registry, entry oai-fam-372-global-uniqueness-smooth-isotropic},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-372-global-uniqueness-smooth-isotropic#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
An inverse problem consists in working back from observed effects to their cause; here it concerns elasticity (the deformation of a material) that is isotropic, meaning it behaves the same way in every direction. If the manuscript were correct, this problem would have only one solution.
What remains unclear
The Lean (a language in which a computer checks every step of a proof) was supplied by OpenAI itself and carries the mark “unchecked” in formalization.yaml; no third-party verification is recorded. The sources read do not say what “global” covers or which assumptions are made.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · 372.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-Uniqueness-for-the…link only, reading not recorded
- Lean proofgithub.com · 372.mdpage read word for word
- Lean proofgithub.com · ElasticityUniqueness.leanlink only, reading not recorded
Method
The manuscript “Global Uniqueness for the Smooth Isotropic Elasticity Inverse Problem” is dated September 24, 2026, in the “Partial differential equations” section of overview.tex. The Lean supplied comprises lean/docs/372.md, one Comparator statement, and the file lean/ComparatorChallenges/ElasticityUniqueness.lean. For formalization.yaml: family absent from the “sources”; 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: “describes the scope of the Lean formalization”).
Limits
No named third party: the recorded checks come from the claimant or from a platform tool. The claimant supplies a Lean proof; as of this date, DiscoverIA has found no independent verification of this proof or of the result.
Key facts
- Claimed by
- OpenAI (unreleased internal model)
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (Partial differential equations)
- In openai/math
- family 372, section “Partial differential equations”, 1 manuscript dated Sep 24, 2026
- Lean proof
- supplied by the claimant, marked “unchecked” (not reviewed) in its repository
- Revisions
- none reported by the claimant
- Checked by
- claimant (Lean supplied, not checked by a third party)
- Sources
- 4 : 1 read word for word, 3 links only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
Family with a Lean proof supplied by the claimant. No third-party check read; the source marks this proof as not reviewed (“unchecked”).
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 365 of 372, by family number
- Not evaluated : The hot spots conjecture for simply connected planar domains (family 369)
- Not evaluated : The subcritical Lane–Emden and Hénon–Lane–Emden conjectures (family 370)
- Not evaluated : Stable blowup for a defocusing Schrödinger equation (family 371)
- Not evaluated : Global uniqueness in smooth isotropic elasticity (family 372)
- Not evaluated : Nonattainment in three-marginal Coulomb transport (family 373)
- Not evaluated : Sharp one-third stability of optimal transport maps (family 374)
- Not evaluated : De Giorgi's conjecture in dimension eight (family 375)
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