Hilbert's tenth problem over Q (family 004)
Status
Not evaluated
Recorded on · cellcog.ai not confirmed
To be confirmed: seen only in a search-engine snippet.
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Search-engine snippet only (level 1 of 3)
No DiscoverIA status yet; this does not mean nobody has checked it.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
The gist
Result from OpenAI's openai/math release of 6 October 2026, in mathematics, with no Lean proof and no third-party check.
Cite this entry
A single status snapshot since Oct 11, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 11, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-oai-fam-004-hilbert-10-q-r1
@misc{discoveria-oai-fam-004-hilbert-10-q-r1,
author = {{DiscoverIA}},
title = {Hilbert's tenth problem over Q (family 004)},
howpublished = {DiscoverIA registry, entry oai-fam-004-hilbert-10-q},
note = {Status « Not evaluated », snapshot 1, recorded on October 11, 2026. new result},
year = {2026},
url = {https://discoveria.ai/en/fiche/oai-fam-004-hilbert-10-q/#releve-1},
urldate = {2026-10-11}
}Dated link opens this snapshot in the history
Text produced by an automatic template (DiscoverIA pipeline), on Reviewed by: nobody yetReport an error
What has not been reviewed?
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.
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.
Key facts
- Claimed by
- OpenAI
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (logic / number theory)
- Checked by
- no verifier identified
- Sources (domains)
- 1 : 1 links only
- This entry
- AI draft, not reviewed
For experts
Sources(domains)
- primairegithub.comlink only, reading not recorded
Method
Status “not evaluated” recorded on 11 October 2026 from cellcog.ai (seen only in a search engine snippet).
Limits
This status is not confirmed: it rests on a search engine snippet. DiscoverIA has recorded no independent evaluation as of this date.
In the same set
openai/math: 719 manuscripts in 372 families from an unreleased internal model · entry 4 of 372, by family number
- Not evaluated : Not all have accompanying Lean formalizations.
- Not evaluated : Full BSD formula for Selmer corank 0 or 1 (family 002)
- Not evaluated : Quasi-Riemann hypothesis: zero-free half-plane Re(s) > 7/8 (family 003)
- Not evaluated : Hilbert's tenth problem over Q (family 004)
- Not evaluated : describes the scope of the Lean formalization
- Not evaluated : Not all have accompanying Lean formalizations.
- Not evaluated : describes the scope of the Lean formalization
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent statusnot confirmed
Source: cellcog.aisearch-engine snippet only
An observation is added; none is ever erased.
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