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Paata Ivanisvili @PI010101

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Paata Ivanisvili @PI010101
AI's ranking of open problems solved in today's arXiv list.

AI put problems connected to Gromov's work in the top two spots. For #3, I remember attending a talk by one of the authors. #4 is, to me, one of the cutest problems in complex analysis, I first learned about it in Chapter I of Garnett–Marshall's Harmonic Measure book about 15 years ago.

1. Banach's isometric conjecture
2. Gromov's volume-growth conjecture
3. Generalized Chang–Yang conjecture
4. Sharp Hayman–Wu constant
5. Nadirashvili–Tkachev–Vlăduţ W^1,1 question
6. Courtade's projection conjecture
7. Gromov–Hausdorff distance between consecutive spheres
8. Chebyshev polynomials on a Jordan arc
9. Finite entanglement-breaking index of every PPT channel
10. Radchenko–Viazovska Fourier-interpolation question
11. Quantum SDPI tensorization
12. Chen–Eldan hit-and-run warm-start question
13. Bobkov–Götze max-sliced Wasserstein exponent
14. Bukh–Dubroff graph-cover question
15. Generalized Dai–Wang–Wei deformation question
16. Nguyen–Squassina Schwarz-rearrangement question
17. Kinnunen–Saari parabolic-weight questions
18. Deformed-GOE open parameter regime
19. Gau–Wang–Wu conjecture
20. Jaguzović–Vujadinović Toeplitz conjecture
21. Minimum 3/2-gap witness question

11:53 PM . Aug 13, 2026 . 77.5K Views
Note from Claude Sonnet 5

Tweet from mathematician Paata Ivanisvili sharing an AI-generated ranked list of 21 open mathematical problems purportedly solved in that day's arXiv listings, spanning geometry, analysis, and quantum information theory.

mathematicsarxivai research capabilityopen problems