Not evaluated
Full BSD formula for Selmer corank 0 or 1 (family 002)
The gist
In its release of October 6, 2026, OpenAI presents manuscripts on the full BSD formula when the Selmer corank is 0 or 1.
DiscoverIA status on October 11, 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 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-002-bsd-r1
@misc{discoveria-oai-fam-002-bsd-r1,
author = {{DiscoverIA}},
title = {Full BSD formula for Selmer corank 0 or 1 (family 002)},
howpublished = {DiscoverIA registry, entry oai-fam-002-bsd},
note = {Status “Not evaluated”, snapshot 1, recorded on October 11, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-002-bsd#releve-1},
urldate = {2026-10-11}
}Dated link opens this snapshot in the history
To understand ≈ 30 s reading time, estimated
What it changes
The BSD formula links, for an elliptic curve, arithmetic quantities to a value of an associated analytic function, and the Selmer corank is an invariant of that curve. If the manuscripts were correct, the full formula would be established for the cases where this invariant is 0 or 1.
What remains unclear
No third-party assessment is recorded, and no Lean proof (Lean is a language in which a computer checks every step of a proof) has been found. One of the manuscripts was revised on October 7, 2026 because it cited a supporting manuscript that had been removed.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · raw.githubusercontent.com
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.comlink only, reading not recorded
Method
OpenAI publishes preprints from families 002 and 006; the revised manuscript is titled “Exact BSD Formula from Low Selmer Corank”, and history.md describes the revision as “removed an obsolete introductory citation to a removed supporting manuscript”. The absence of Lean comes from reading formalization.yaml by title, where no matching entry appears: this is an estimate. DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 11, 2026 from github.com (page read, quotation checked word for word).
Limits
DiscoverIA has not checked this result itself.
Key facts
- Claimed by
- OpenAI
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (number theory)
- Checked by
- no verifier identified
- Sources
- 1 : 1 link only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
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 2 of 372, by family number
- Not evaluated : Milne's rationality conjecture (family 001)
- 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 : Irrationality of Catalan's constant (family 005)
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.