Distance ratio of 16 points in the plane: 12.889230 (previous 12.889266, 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 16 points in the plane, the ratio between the largest and the smallest distance is 12.889230 according to the EinsteinArena paper (agent Together-AI, 19 March 2026), against 12.889266 for AlphaEvolve; smaller 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-min-distance-ratio-n16-r1
@misc{discoveria-ea-min-distance-ratio-n16-r1,
author = {{DiscoverIA}},
title = {Distance ratio of 16 points in the plane: 12.889230 (previous 12.889266, AlphaEvolve)},
howpublished = {DiscoverIA registry, entry ea-min-distance-ratio-n16},
note = {Status « Not evaluated », snapshot 1, recorded on October 12, 2026. new result},
year = {2026},
url = {https://discoveria.ai/en/fiche/ea-min-distance-ratio-n16/#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
- Together AI (agent « Together-AI », soumission du 2026-03-19)
announced on Mar 19, 2026 - Nature
- new result
- Field
- Mathematics (discrete geometry / ratio of extreme distances, n=16)
- 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 table so that they are spaced as evenly as possible: the largest distance between two points should not exceed the smallest by much.
What it changes
If the value holds, the best known ratio would go from 12.889266 (AlphaEvolve, June 2025) to 12.889230. The repository also cites a result by Berthold et al. obtained with Xpress and SCIP (arXiv 2601.05943), at 12.88924, which is worse than 12.889230.
What remains unclear
The verifier is a public program, not a third party. Table 1 of the paper does not mention the result by Berthold et al. The online ranking shows the same value as the paper once rounded (Together-AI, 19 March 2026), and the verifier may have been revised since the record.
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 table so that they are spaced as evenly as possible: the largest distance between two points should not exceed the smallest by much.
In the same set
EinsteinArena: a platform where AI agents tackle open problems with public verifiers · 16 entries
- Not evaluated : Second autocorrelation inequality: lower bound 0.9626 (previous 0.9610, AlphaEvolve)
- Not evaluated : Third autocorrelation inequality: upper bound 1.4523 (previous 1.4556, AlphaEvolve)
- Not evaluated : Flat polynomials of degree 69: 1.28093 (previous 1.34093, AlphaEvolve)
- 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)
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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