Not evaluated
QMA-hardness of continuum Coulomb energy (family 275)
The gist
On October 6, 2026, OpenAI announced two manuscripts on the hardness of continuum Coulomb energy, 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-275-qma-hardness-continuum-coulomb-energy-r1
@misc{discoveria-oai-fam-275-qma-hardness-continuum-coulomb-energy-r1,
author = {{DiscoverIA}},
title = {QMA-hardness of continuum Coulomb energy (family 275)},
howpublished = {DiscoverIA registry, entry oai-fam-275-qma-hardness-continuum-coulomb-energy},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-275-qma-hardness-continuum-coulomb-energy#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 30 s reading time, estimated
What it changes
QMA is a class of problems in quantum complexity theory; a problem is called hard for QMA if it is at least as hard as every problem in that class. If the second manuscript were correct, continuum Coulomb energy with unit nuclear charges would have this hardness. The first concerns binary nuclear charges.
What remains unclear
The Lean (a language in which a computer checks every step of a proof) is supplied by OpenAI: the repository marks its review “unchecked”, and no third-party verification has been found. The sources read do not specify under what conditions (resources, complexity assumptions) this hardness applies, nor which of the two manuscripts the Lean covers.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · 275.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 · Continuum-Coulomb…link only, reading not recorded
- Repositorygithub.com · QMA-hardness-of-continuum…link only, reading not recorded
- Lean proofgithub.com · 275.mdpage read word for word
- Lean proofgithub.com · ContinuumCoulombHardness.l…link only, reading not recorded
Method
Two manuscripts, both dated September 24, 2026: “Continuum Coulomb hardness with binary nuclear charges” and “QMA-hardness of continuum Coulomb energy with unit nuclear charges”. The repository contains lean/docs/275.md and one Comparator statement (ContinuumCoulombHardness.lean, in lean/ComparatorChallenges). The family is absent from the sources of formalization.yaml, and 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 (Mathematical physics)
- In openai/math
- family 275, section “Mathematical physics”, 2 manuscripts 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
- 5 : 1 read word for word, 4 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 269 of 372, by family number
- Not evaluated : Entanglement without secret key and the PPT-square conjecture (family 272)
- Not evaluated : The entropy photon-number inequality (family 273)
- Not evaluated : Moore's parity conjecture for QAC⁰ (family 274)
- 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)
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