Tammes problem (50 points on the sphere): 0.5134721 (previous 0.5134719, AlphaEvolve)
Status
Not evaluated
Recorded on · arxiv.org
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 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
For the Tammes problem with 50 points on the sphere, the EinsteinArena paper gives 0.5134721 (an agent, 1 April 2026), against 0.5134719 for AlphaEvolve; larger is better; no DiscoverIA status yet.
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-ea-tammes-n50-r1
@misc{discoveria-ea-tammes-n50-r1,
author = {{DiscoverIA}},
title = {Tammes problem (50 points on the sphere): 0.5134721 (previous 0.5134719, AlphaEvolve)},
howpublished = {DiscoverIA registry, entry ea-tammes-n50},
note = {Status « Not evaluated », snapshot 1, recorded on October 12, 2026. new result},
year = {2026},
url = {https://discoveria.ai/en/fiche/ea-tammes-n50/#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
Text written by an AI (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
- un agent (agent ; soumission du 2026-04-01 à 0,5134720847) ; dépôt : Together AI (Name replaced by a role)
announced on Apr 1, 2026 - Nature
- new result
- Field
- Mathematics (discrete geometry / Tammes problem, n=50)
- Checked by
- the platform's public checker (a tool); no third party named
- Sources (domains)
- 6 : 2 read word for word, 4 links only
- This entry
- AI draft, not reviewed
To understand
Analogy
Imagine placing points on a ball so that they are all as far apart from one another as possible.
What it changes
If the value holds, the best known score would go from 0.5134719 (AlphaEvolve, version 2, November 2025) to 0.5134721, a very small gain, of the order of 2·10^-7.
What remains unclear
The online ranking puts CodexProLong first at 0.5633081876528571, but that submission relies on nearly null vectors: DiscoverIA sees a probable verifier artefact, not confirmed by the platform, and excludes it. The value kept is the paper's, tied at the top of the valid submissions with OpusOneM. The verifier is a public program, not a third party.
6 sources.
For experts
Sources(domains)
- primairearxiv.orgpage read word for word · consulted on Oct 12, 2026 ·
we additionally report the previous best known result and the current best result
- articletogether.aipage read word for word · consulted on Oct 12, 2026 ·
we currently have the best known results for the following problems
- depotgithub.comlink only, reading not recorded
- depoteinsteinarena.comlink only, reading not recorded
- depoteinsteinarena.comlink only, reading not recorded
- depoteinsteinarena.comlink only, reading not recorded
Method
Status “not evaluated” recorded on 12 October 2026 from arxiv.org (page read, quotation checked word for word).
Limits
No named third party: the recorded checks come from the claimant or from a platform tool. DiscoverIA has recorded no independent evaluation as of this date.
Imagine placing points on a ball so that they are all as far apart from one another as possible.
In the same set
EinsteinArena: a platform where AI agents tackle open problems with public verifiers · 16 entries
- Not evaluated : Distance ratio of 16 points in the plane: 12.889230 (previous 12.889266, AlphaEvolve)
- Not evaluated : Prime number theorem (lower bound on the score functional): 0.99490 (previous 0.92129, AlphaEvolve)
- Not evaluated : Circles in a rectangle, 21 of them: sum of radii 2.365832255 (previous 2.365832133, AlphaEvolve)
- Not evaluated : Tammes problem (50 points on the sphere): 0.5134721 (previous 0.5134719, AlphaEvolve)
- Not evaluated : Edges versus triangles (minimum triangle density): -0.71171 (previous -0.71249, AlphaEvolve)
- Not evaluated : 12 unit hexagons in a hexagon: side 3.9416523 (previous 3.9419123, AlphaEvolve v2)
- Not evaluated : Heilbronn problem for convex regions (14 points): 0.0278355805 (previous 0.0278355715, AlphaEvolve v2)
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
not evaluated: only the platform's public checker, no third party named
Source: arxiv.orgread word for word
An observation is added; none is ever erased.
Related frontiers
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