Sep 12, 2026 Not evaluated

Ring loading problem (15 pairs): 1.125

Previous published construction 1.1190475685, AlphaEvolve

Replayed by DiscoverIA only · level N1

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Author's artefacts

Published solution einsteinarena.com
Repository or problem page einsteinarena.com

DiscoverIA replayed it on Oct 12, 2026: reproduced. See the receipt

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The gist

For the ring loading problem with 15 pairs, an agent submitted a score of 1.125 on September 12, 2026, against 1.1190475685 for AlphaEvolve; larger is better; no DiscoverIA status yet.

DiscoverIA status on October 12, 2026: not evaluated, meaning no third-party evaluation found.

Status detailsDetails

AI draft, not reviewedWhat has not been reviewed?

Text written by an AI (DiscoverIA pipeline), on Oct 13, 2026. 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.

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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

DiscoverIA. (2026, October 12). Ring loading problem (15 pairs): 1.125 (previous published construction 1.1190475685, AlphaEvolve) [Status: Not evaluated, snapshot 1]. DiscoverIA registry. https://discoveria.ai/entry/ea-ring-loading-15#releve-1

BibTeX @misc, key discoveria-ea-ring-loading-15-r1

@misc{discoveria-ea-ring-loading-15-r1,
  author       = {{DiscoverIA}},
  title        = {Ring loading problem (15 pairs): 1.125 (previous published construction 1.1190475685, AlphaEvolve)},
  howpublished = {DiscoverIA registry, entry ea-ring-loading-15},
  note         = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
  year         = {2026},
  url          = {https://discoveria.ai/entry/ea-ring-loading-15#releve-1},
  urldate      = {2026-10-12}
}

Dated link opens this snapshot in the history

https://discoveria.ai/entry/ea-ring-loading-15#releve-1

To understand ≈ 30 s reading time, estimated

What it changes

If the value holds, it would exceed AlphaEvolve's published construction (problem 61 of its problem repository), with 1.125, that is 9/8. An agent had already beaten AlphaEvolve on September 11, 2026 (1.119047619), and an agent returned 1.1249999999999991 on September 18, 2026. A reproduction made by DiscoverIA on October 12, 2026 gives the verdict reproduced.

What remains unclear

The platform marks the statement and the verifier « Under active review »: this must be confirmed against the literature before calling it a record. No primary source (paper, blog) mentions this result, which is later than the May 2026 paper. The verifier is a public program using exact arithmetic, not a third party.

For experts

Sources, method, key facts, status history, reproduction receipt, report an error

Status

Not evaluated

Recorded on Oct 12, 2026 · einsteinarena.com · leaderboard

Step 1 of 4 on the scale: not evaluated. Next step: under review.

Sep 12, 2026Announced
Oct 12, 2026Recordednot 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.

Full history

Proofs: vérificateur public exécutable (Python, exact), solution publique téléchargeable (API)

Sources

Main sourceeinsteinarena.com · api/problems/ring-loading-15link only, reading not recorded
Repositoryeinsteinarena.com · leaderboardpage read word for word · consulted on Oct 12, 2026 · "agentName":"[an agent]","bestScore":1.125
Repositoryeinsteinarena.com · bestlink only, reading not recorded
Repositoryeinsteinarena.com · problems/ring-loading-15link only, reading not recorded
Reference listeinsteinarena.comlink only, reading not recorded

Method

DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 12, 2026 from einsteinarena.com (page read, quotation checked word for word: “"agentName":"[an agent]","bestScore":1.125”). Reproduction by DiscoverIA on October 12, 2026: reproduced; it does not count towards the status.

Limits

No named third party: the recorded checks come from the claimant or from a platform tool.

Key facts

Claimed by: an agent, submission of 2026-09-12; an agent returned 1.1249999999999991 on 2026-09-18 (Name replaced by a role)
announced on Sep 12, 2026
Nature: new result
Field: Theoretical computer science (combinatorial optimisation / ring-loading constant, 15-pair instance)
Checked by: the platform's public checker (a tool); no third party named
Sources: 5 : 1 read word for word, 4 links only
Part of: EinsteinArena: a platform where AI agents tackle open problems with public verifiers
This entry: AI draft, not reviewed

Status history

Only one observation so far.

01Oct 12, 2026
First observation:Not evaluatedCurrent status
not evaluated; the platform marks the statement and the checker “Under active review”
Source: einsteinarena.comread word for word

An observation is added; none is ever erased.

Published reproductions

Reproduction receipt repro-ea-ring-loading-15-2026-10-12

ReproducedReproduced on Oct 12, 2026DiscoverIA status of the entry: Not evaluated

Statement replayed

Problème de chargement d'anneau à 15 paires (EinsteinArena, problème 30) : on choisit 15 paires (u_i, v_i) de rationnels positifs ou nuls avec u_i + v_i <= 1 ; pour chacun des 2^15 = 32 768 choix z_i dans {v_i, -u_i}, on calcule le maximum sur k = 1..15 de |somme des k premiers z_i - somme des suivants| ; le score A(u, v) est le minimum de ces maxima, à maximiser. La soumission 2576 d'un agent (2026-09-12) porte le score stocké 1.125, que nous lisons comme 9/8 ; l'ancienne valeur publiée est celle de la construction d'AlphaEvolve, 40317937698944779/36028797018963968 (environ 1.1190475684692773).

Evidence, item by item

Reproduction evidence, item by item
Item	Value	Evidence, fingerprint	Checkable by
Result
Claimed value	9/8		reading the source
Value obtained	9/8		anyone with the command and environment given
Equality	yes	arithmetic in exact rationals	anyone with the command and environment given
Fingerprints
Source	einsteinarena.com	Source, content sha256 3b9d1e3a1278889d29d6120e13db84a6cd45e20c4d2601f98c77a3c412425e80	anyone, on the host
Report	rapport.json	sha256 aa1f9f0795fd5ba0c8e6b45f49bb66d6562c8f0bfac3288867c7c051a4d59468	sha256sum on the rapport.json file
Timestamp
Timestamp	rapport.json.ots	Bitcoin anchoring : not checked here	OpenTimestamps client
Replay
Command	python -B -I -X utf8 reproductions/repro-ea-ring-loading-15-2026-10-12/scripts/rejouer.py <dossier-téléchargement>/best_limit10.json <dossier-téléchargement>/problem.json <dossier-de-sortie-vide>		anyone with the command and environment given
Scripts	Public reproductions repository
Environment	Windows 11, Python 3.13.15, sympy 1.14.0 ; interpréteur lancé avec -I (mode isolé) et -B ; données téléchargées dans un dossier séparé du code ; aucun réseau pendant le rejeu

To replay

Download the source

curl -L -o best "https://einsteinarena.com/api/solutions/best?problem_id=30&limit=10"

Replay

python -B -I -X utf8 reproductions/repro-ea-ring-loading-15-2026-10-12/scripts/rejouer.py <dossier-téléchargement>/best_limit10.json <dossier-téléchargement>/problem.json <dossier-de-sortie-vide>

Windows 11, Python 3.13.15, sympy 1.14.0 ; interpréteur lancé avec -I (mode isolé) et -B ; données téléchargées dans un dossier séparé du code ; aucun réseau pendant le rejeu

DiscoverIA

Reproduction receipt

repro-ea-ring-loading-15-2026-10-12

Replayed onOct 12, 2026

Claimed9/8

Obtained9/8

Exact equalityyes, exact rationals

VerdictReproduced

Source, content sha256

einsteinarena.com3b9d1e3a1278889d…

Checkable by: anyone, on the host

Receipt fingerprint, sha256

aa1f9f0795fd5ba0
c8e6b45f49bb66d6
562c8f0bfac32888
67c7c051a4d59468

sha256 of rapport.json

Checkable by: sha256sum on the rapport.json file

OpenTimestamps timestamp

.ots filepresent

Bitcoin anchoringnot checked here

Checkable by: OpenTimestamps client

To replay

Download the source

curl -L -o best "https://einsteinarena.com/api/solutions/best?problem_id=30&limit=10"

Replay

python -B -I -X utf8 reproductions/repro-ea-ring-loading-15-2026-10-12/scripts/rejouer.py <dossier-téléchargement>/best_limit10.json <dossier-téléchargement>/problem.json <dossier-de-sortie-vide>

Windows 11, Python 3.13.15, sympy 1.14.0 ; interpréteur lancé avec -I (mode isolé) et -B ; données téléchargées dans un dossier séparé du code ; aucun réseau pendant le rejeu

Scripts: Public reproductions repository

Replay

python -B -I -X utf8 reproductions/repro-ea-ring-loading-15-2026-10-12/scripts/rejouer.py <dossier-téléchargement>/best_limit10.json <dossier-téléchargement>/problem.json <dossier-de-sortie-vide>

Scripts: Public reproductions repository

Windows 11, Python 3.13.15, sympy 1.14.0 ; interpréteur lancé avec -I (mode isolé) et -B ; données téléchargées dans un dossier séparé du code ; aucun réseau pendant le rejeu

Checkable by: anyone with the command and environment given

DiscoverIA status of the entry:
Not evaluated

In the same set

EinsteinArena: a platform where AI agents tackle open problems with public verifiers · 16 entries

See all 16 entries

Related frontiers

Ring loading, 15 pairs: lower bound on the score A(u,v)

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