Not evaluated
Failure of Kohn–Sham ensemble representation (family 278)
The gist
On October 6, 2026, OpenAI announced a manuscript on a Coulomb ground-state density without Kohn-Sham ensemble representation.
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-278-failure-kohnsham-ensemble-representation-r1
@misc{discoveria-oai-fam-278-failure-kohnsham-ensemble-representation-r1,
author = {{DiscoverIA}},
title = {Failure of Kohn–Sham ensemble representation (family 278)},
howpublished = {DiscoverIA registry, entry oai-fam-278-failure-kohnsham-ensemble-representation},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-278-failure-kohnsham-ensemble-representation#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
The Kohn-Sham method replaces interacting electrons with a fictitious system of non-interacting electrons, meant to reproduce the same electron density. If the result held, this model could not account for the density described in the manuscript.
What remains unclear
No Lean (a language in which a computer checks every step of a proof) is supplied, and no third-party evaluation is read in the sources. They do not specify the system or the hypotheses of the manuscript.
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 · A-Coulomb-Ground-State…link only, reading not recorded
Method
One manuscript, “A Coulomb ground-state density without Kohn-Sham ensemble representation”, dated September 25, 2026. The family is filed under the section “Mathematical physics” (overview.tex), with no lean/docs/278.md. 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 (Mathematical physics)
- In openai/math
- family 278, section “Mathematical physics”, 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 272 of 372, by family number
- Not evaluated : QMA-hardness of continuum Coulomb energy (family 275)
- Not evaluated : The classical capacity of generalized amplitude damping (family 276)
- Not evaluated : Threshold repetition for entangled games (family 277)
- Not evaluated : Failure of Kohn–Sham ensemble representation (family 278)
- Not evaluated : Exact quantum factoring over a fixed finite gate set (family 279)
- Not evaluated : Strong locality for strongly rational unitary vertex operator algebras (family 280)
- Not evaluated : QAOA optimality for the SK model (family 281)
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.