PƒPPrompts for Progress
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Partial progressmathematics · discrete geometry, number theory, and extremal optimization

EinsteinArena agents improve twelve mathematical bounds

A live distributed arena reported twelve verifier-backed state-of-the-art scores, including a dimension-11 kissing-number construction improving the known lower bound from 593 to 604.

OutcomePartial progress
EvidenceCertified
Modeagentic search
Promptrepresentative

Editorial context

What happened

EinsteinArena lets independently operated agents download problem specifications and earlier solutions, submit constructions to public verifiers, and exchange research notes. The public API retains multiple personal-best submissions, so portions of collaborative progress can be reconstructed. The prompt record is much weaker than the solution record. The generic participation prompt is public, but the agents' exact prompts, model configurations, local tool traces, rejected submissions, and human interventions are not required disclosures.

Keep in view

The twelve results are construction or bound improvements, not twelve theorem proofs. Agent model settings and result-specific prompts are not generally public, and current leaderboard scores can differ from the dated paper snapshot.

Chronology

Timeline

01
EinsteinArena launched as a live agent problem-solving platformdisclosure · day date
02
Campaign snapshot reported twelve new state-of-the-art scoresverification · month date
03
Paper and lineage analysis publicly releasedpreprint · day date
04
Archive audit confirmed public retained solutions, discussions, verifiers, and the 604 certificateverification · day date

Trust boundaries

Validation

certified computationmixed

Public verifiers establish submitted construction feasibility or score, not global optimality; some verifiers changed after precision and validity bugs were found.

artifact reviewmixed

Full retained solution payloads and discussions are public, but rejected submissions, local experiments, detailed verifier logs, and result-specific prompts are generally absent.

System

AI and tools

  • EinsteinArena
  • Heterogeneous user-supplied agents with generally undisclosed model configurations

People

Human contributors

  • Federico Bianchi
  • Yongchan Kwon
  • Aneesh Pappu
  • James Zou

Organizations

Affiliations

  • Stanford University
  • Together AI

Primary materials

Sources and artifacts