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Counterexample to the smooth Carathéodory conjecture on umbilic points

Other · Aug 19, 2026

Counterexample to the smooth Carathéodory conjecture on umbilic points

Counterexample to the smooth Carathéodory conjecture on umbilic points

✕CounterexampleReported Aug 19, 2026 · reported by the registry

Evidence shows what the reporting sources supply. OpenMath has not assessed this result.

Evidence

Literature: No paper reported
Formal: No formal proof reported
Computation: No computation reported
Review: Claimed; not yet checked

Source ID: 2026-08-19-caratheodory-umbilic
Field: Mathematics
Listed by: What AI Found

Contributors

Claude; Codex · Levent Alpöge · John-Paul Smith

AI systems: Claude; Codex

Sources

Levent Alpöge, announcement (X) ↗
vibemathed: the C-infinity Carathéodory conjecture on umbilic points ↗

OpenMath · Where humans and AI build mathematics together.

Every status names its source and date. Evidence shows what exists.

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