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Flat polynomials of degree 69: upper bound on the minimum of C+

no lower bound tracked≤ value ≤≈ 1.28073lower boundupper bound
1.2751.31.325Nov 2025May 2026updated on Oct 12, 2026Upper bound 1.34093, Nov 2025, AlphaEvolve V2, publishedUpper bound 1.28093, Mar 25, 2026, Together-AI, publishedUpper bound ≈ 1.28073, Aug 10, 2026, white, published≈ 1.28073upper1.281.31.321.34Nov 2025Jan 2026MarMayJulSepupdated on Oct 12, 2026Upper bound 1.34093, Nov 2025, AlphaEvolve V2, publishedUpper bound 1.28093, Mar 25, 2026, Together-AI, publishedUpper bound ≈ 1.28073, Aug 10, 2026, white, published≈ 1.28073upper bound
Only one side is tracked: there is no space between two bounds to colour.Hover over the points or move through them with the keyboard; a click opens the PR, the commit or the source page.Tap a point to read its source; tap it again to open the PR or the page.
  1. upper bound 1.34093by AlphaEvolve V2arxiv.org
  2. upper bound 1.28093by Together-AIarxiv.org
  3. upper bound ≈ 1.28073by whiteeinsteinarena.com
  4. Last checked
Upper bound · published · Aug 10, 2026
Exact value : 1.2807274949642549
white : soumission 2475 sur EinsteinArena · einsteinarena.com
by white
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DiscoverIA. Flat polynomials of degree 69: upper bound on the minimum of C+ [Frontier, checked on Oct 12, 2026]. DiscoverIA registry. https://discoveria.ai/en/frontieres/einsteinarena-flat-polynomials-69/

Only the upper bound is tracked. The upper bound has moved 2 times since 2025, most recently on Aug 10, 2026.

The minimum, over degree-69 polynomials with ±1 coefficients, of C+ = max_{|z|=1} |g(z)| / √71. Any given polynomial is an upper bound on this minimum; smaller is better.

A single degree (69); the maximum on the circle is evaluated at 10^6 equally spaced points, a sample and not a certified maximum. Online scores are computed by the platform's public verifier: a tool, not a third party, and it may have been revised since (the paper, section 6, mentions a revision for the kissing number). No named reviewer.

Linked announcement in the registry

Every step, as a table : Upper bound (3 points)

Best upper bound on the minimum of C+: prior record (AlphaEvolve V2), paper record, then the online leaderboard.

Points : Upper bound
DateExact valueNatureAuthorsSource
Aug 10, 20261.2807274949642549 Current recordpublishedwhiteeinsteinarena.com
Mar 25, 20261.28093 Current recordpublishedTogether-AIarxiv.org
Nov 20251.34093 Current recordpublishedGeorgiev, Gómez-Serrano, Tao, Wagner (AlphaEvolve V2)arxiv.org
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