Not evaluated
Serre's intersection-multiplicity conjecture (family 193)
The gist
In its release of October 6, 2026, OpenAI announces, using an unreleased internal model, a manuscript on the positivity of Serre's intersection multiplicity.
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-193-serres-intersection-multiplicity-conjecture-r1
@misc{discoveria-oai-fam-193-serres-intersection-multiplicity-conjecture-r1,
author = {{DiscoverIA}},
title = {Serre's intersection-multiplicity conjecture (family 193)},
howpublished = {DiscoverIA registry, entry oai-fam-193-serres-intersection-multiplicity-conjecture},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-193-serres-intersection-multiplicity-conjecture#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
In algebra, Serre's intersection multiplicity is a number that measures how two algebraic objects intersect. If the manuscript held, it would bring a result on the positivity of this number, in the setting it studies.
What remains unclear
No Lean (a language in which a computer checks every step of a proof) is supplied for this family, and no third-party evaluation is recorded. The sources read give only the manuscript's title, not its assumptions.
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 · Positivity-of-Serres…link only, reading not recorded
Method
The openai/math repository contains the manuscript “Positivity of Serre's Intersection Multiplicity”, dated September 23, 2026. The family has no lean/docs/193.md file; history.md reports no revision of this manuscript. 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 (Algebra)
- In openai/math
- family 193, section “Algebra”, 1 manuscript dated Sep 23, 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 187 of 372, by family number
- Not evaluated : Polynomial removal fails for ordered binary matrices (family 190)
- Not evaluated : A power improvement in the Heilbronn triangle problem (family 191)
- Not evaluated : A counterexample to the Gopalan–Servedio conjecture (family 192)
- Not evaluated : Serre's intersection-multiplicity conjecture (family 193)
- Not evaluated : Lech's multiplicity conjecture (family 194)
- Not evaluated : A counterexample to the small Cohen–Macaulay module conjecture (family 195)
- Not evaluated : Counterexample to Kaplansky's zero-divisor conjecture (family 196)
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