Open Research Index

87,915 records

  1. The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane $\Re s\gt 7/8$

    OpenAI

    OpenAI MathSep 30, 2026math.NTAI-generatedLeanscore 1 · 🔥 16 posts

  2. On the Navier–Stokes Millennium Prize Problem

    Web pageOct 24, 2026score 0 · 🔥 13 posts

  3. The irrationality exponent of pi is 2

    OpenAI

    OpenAI MathSep 24, 2026math.NTAI-generatedscore 0 · 🔥 2 posts

  4. Thompson's group F is nonamenable

    OpenAI

    OpenAI MathSep 23, 2026math.GRAI-generatedLeanscore 0 · 🔥 5 posts

  5. Rapid mixing for Gibbs samplers for quantum spin systems with all-to-all interactions

    Nicola Bertoni, Giacomo De Palma

    arXivOct 29, 2026quant-phscore 1

  6. Fast and accurate neural triage decoding of ultra-high-rate quantum LDPC codes

    Hong-Ye Hu, Zhenlai Wang, Binzhao Luo, Tao Xiang, Chen Zhao

    arXivOct 29, 2026quant-phscore 1

  7. Locality in Dissipative Ground-State Preparation

    Qicheng Tang, Ruhanshi Barad, Xueda Wen

    arXivOct 29, 2026quant-phscore 1

  8. The TEMPO network can be made independent of the system size

    Valentin Link

    arXivOct 27, 2026quant-phscore 1

  9. Sublinear thermal state and ground state preparation for free fermions via system-bath interaction

    Zhiyan Ding, Lin Lin, Ke Wang

    arXivOct 26, 2026quant-phscore 1

  10. Fast and accurate rare-event simulation by Markov chain Monte Carlo for general quantum codes

    Junichi Haruna, Kotaro Murakami

    arXivOct 26, 2026quant-phscore 1

  11. Decoding with alternating weighted graph sparsification for quantum low-density parity-check codes

    Josu Etxezarreta Martinez, Francisco Garcia-Herrero, Ruben M. Otxoa, Reza Dastbasteh

    arXivOct 26, 2026quant-phscore 1

  12. Complete entropy contraction from conditional hyperboundedness

    Li Gao, Lijun Wang

    arXivOct 26, 2026quant-phscore 1

  13. Initial-State Preparation for Strongly Correlated Molecules from Matrix Product States: Benchmarking and Environment-Aware Divide-and-Conquer Compilation

    Haiqi Liu, Longfei Chang, Zhendong Li, Wei-Hai Fang

    arXivOct 24, 2026quant-phscore 1

  14. Designing more efficient quantum circuits with Claude

    Anthropic

    Anthropic ScienceOct 16, 2026quant-phscore 1 · 1 comments

  15. Exact Birch–Swinnerton-Dyer Formula from Low Selmer Corank

    OpenAI

    OpenAI MathOct 7, 2026math.NTAI-generatedscore 0 · 🔥 1 post

  16. Fontaine–Mazur modularity at the prime 2

    OpenAI

    OpenAI MathOct 6, 2026math.NTAI-generatedscore 0 · 🔥 1 post

  17. Hilbert’s tenth problem over the rational numbers

    OpenAI

    OpenAI MathOct 6, 2026math.NTAI-generatedscore 0 · 🔥 3 posts

  18. The Quasi-Riemann Hypothesis (alternate 11/12 proof)

    OpenAI

    OpenAI MathOct 5, 2026math.NTAI-generatedscore 0 · 🔥 6 posts

  19. Modularity of elliptic curves over imaginary quadratic fields

    OpenAI

    OpenAI MathOct 4, 2026math.NTAI-generatedscore 0 · 🔥 1 post

  20. Primitive roots for every admissible integer base

    OpenAI

    OpenAI MathOct 4, 2026math.NTAI-generatedscore 0 · 🔥 1 post

  21. Catalan's constant is irrational

    OpenAI

    OpenAI MathSep 24, 2026math.NTAI-generatedscore 0 · 🔥 1 post

  22. The Partition Principle does not imply Choice

    OpenAI

    OpenAI MathSep 24, 2026math.LOAI-generatedLeanscore 0 · 🔥 1 post

  23. Uniform bounds for planar polynomial limit cycles

    OpenAI

    OpenAI MathSep 24, 2026math.DSAI-generatedscore 0 · 🔥 1 post

  24. A translational tile with no fully periodic tiling in dimension three

    OpenAI

    OpenAI MathSep 23, 2026math.COAI-generatedLeanscore 0 · 🔥 2 posts

  25. Integer multiplication below n log n

    OpenAI

    OpenAI MathSep 23, 2026cs.CCAI-generatedscore 0 · 🔥 3 posts

  26. The Euclidean plane is not five-colorable

    OpenAI

    OpenAI MathSep 23, 2026math.COAI-generatedLeanscore 0 · 🔥 3 posts

  27. Fermat's Last Theorem in Lean 4

    Anthropic

    Lean projectSep 4, 2026math.NTAI-generatedLeanscore 1

  28. Beyond transversality: structure of Clifford circuits for CSS codes

    Victor V. Albert

    agenticpapers.appAug 7, 2026quant-phscore 1 · 1 comments

  29. Truly Subquadratic 3SUM and Truly Subcubic APSP: a Lean 4 formalization

    anthropics

    Lean projectAug 6, 2026cs.DSLeanscore 1

  30. Zeta23 — more than two thirds of the zeta zeros are simple and on the critical line

    Claude

    Lean projectAug 6, 2026math.NTAI-generatedLeanscore 1

  31. Long-running Claude for scientific computing

    Anthropic

    Anthropic ScienceMar 23, 2026astro-ph.COscore 1 · 1 comments

  32. Determination Patterns in Infinite Dependency Models

    Arthur Freitas Ramos

    Palomar RegistryOct 30, 2026math.LOmachine-checkedscore 0

  33. The additive theorem for 2-transitive Galois groups (Girstmair; Dixon, Theorem 1') and its representation-theoretic engine

    Stephanie Alexander

    Palomar RegistryOct 30, 2026math.NTmachine-checkedscore 0

  34. Sharp reset thresholds for bounded-response synchronization games with a sink

    Ben Keene

    Palomar RegistryOct 30, 2026cs.FLmachine-checkedscore 0

  35. PCF all the way down

    Taylor Dupuy, Thomas Tucker, Zhuoran Wang

    Palomar RegistryOct 30, 2026math.DSmachine-checkedscore 0

  36. The two-qubit Hardy ladder: the closed form P_K*(q) and its unique maximiser for every K, Hardy's optimum at K = 1, and the optimum (8 rho^2 + rho - 11)/25 in the cubic field Q(rho) at K = 2

    Stephanie Alexander

    Palomar RegistryOct 30, 2026quant-phmachine-checkedscore 0

  37. Reciprocity formulas for generalized Dedekind character sums

    Yuan He

    arXivOct 29, 2026math.NTscore 0

  38. A lattice path model for Schubert and forest polynomials: positivity and combinatorial interpretations

    Hojoon Lee

    arXivOct 29, 2026math.COscore 0

  39. Borsuk number in four dimensions is at most seven

    Andrii Arman, Andriy Bondarenko, Andriy Prymak, Danylo Radchenko

    arXivOct 29, 2026math.MGscore 0

  40. Additive preservers of mutual strong numerical radius orthogonality

    Yulong Tian, Jinli Xu

    arXivOct 29, 2026math.FAscore 0

  41. A rhombic spin-1 interpretation of a room-temperature GaN emitter

    Daniel Hashemi

    arXivOct 29, 2026cond-mat.mtrl-sciscore 0

  42. The measure contraction property and rectifiability

    Sean Li

    arXivOct 29, 2026math.MGscore 0

  43. Weighted Turán densities for hypergraphs

    David James, Bernard Lidický, Dhruv Mubayi

    arXivOct 29, 2026math.COscore 0

  44. Hermitian Clifford Analysis on Euclidean Domains with Smooth and Fractal Boundaries: A Survey of Matrix Cauchy and Hilbert Transforms, Boundary Value Problems, Helmholtz-Type Dirac Operators and Duality

    Ricardo Abreu-Blaya, Juan Bory-Reyes, Carlos Daniel Tamayo-Castro

    arXivOct 29, 2026math.CVscore 0

  45. Time-Switching Energy-Harvesting Quantum Relay-Assisted FSO Communication with Displaced Squeezed Signaling

    Nizar Khalfet, Francisco A. Monteiro, Ioannis Krikidis

    arXivOct 29, 2026quant-phscore 0

  46. Finding solutions with the Borsuk-Ulam theorem

    Oleg R. Musin

    arXivOct 29, 2026math.COscore 0

  47. Sparse domination and an extended $L^p$ range for the trilinear Hilbert transform

    Bingyang Hu

    arXivOct 29, 2026math.CAscore 0

  48. Regularized Master-Field Approximation for Mass-Deformed Supersymmetric Yang-Mills Matrix Models

    Yue Lei, Reishi Maeta

    arXivOct 29, 2026hep-thscore 0

  49. Logarithmic transformations on the six-sphere

    Jeff Viaclovsky

    arXivOct 29, 2026math.AGscore 0

  50. The inverse problem for Julia limiting directions in the Eremenko--Lyubich class

    Jiaxing Huang, Jun Wang, Xiao Yao

    arXivOct 29, 2026math.CVscore 0

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