Koebe’s circle-domain conjecture

Understanding the problem

Why it matters

A precise target for comparing mathematical claims, their baselines, and the documented contribution of AI.

What counts as progress

A sourced theorem, construction, algorithm, bound, or substantive formalization with its assumptions and AI role stated.

What to watch for

• Check the exact hypotheses and compare with the stated prior baseline.
• Distinguish a source claim, an available proof, and a reproduced verification.
• Retain human contributions, competing work, corrections, and withdrawals.

Background review: 2026-10-11. Selected sources:

• Pinned primary manuscript · family 071
• Release provenance and verification limits