Open Research Index

86,763 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. The TEMPO network can be made independent of the system size

    Valentin Link

    arXivOct 27, 2026quant-phscore 1

  6. 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

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

    Junichi Haruna, Kotaro Murakami

    arXivOct 26, 2026quant-phscore 1

  8. 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

  9. Complete entropy contraction from conditional hyperboundedness

    Li Gao, Lijun Wang

    arXivOct 26, 2026quant-phscore 1

  10. 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

  11. Designing more efficient quantum circuits with Claude

    Anthropic

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

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

    OpenAI

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

  13. Fontaine–Mazur modularity at the prime 2

    OpenAI

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

  14. Hilbert’s tenth problem over the rational numbers

    OpenAI

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

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

    OpenAI

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

  16. Modularity of elliptic curves over imaginary quadratic fields

    OpenAI

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

  17. Primitive roots for every admissible integer base

    OpenAI

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

  18. Catalan's constant is irrational

    OpenAI

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

  19. The Partition Principle does not imply Choice

    OpenAI

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

  20. Uniform bounds for planar polynomial limit cycles

    OpenAI

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

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

    OpenAI

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

  22. Integer multiplication below n log n

    OpenAI

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

  23. The Euclidean plane is not five-colorable

    OpenAI

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

  24. Fermat's Last Theorem in Lean 4

    Anthropic

    Lean projectSep 4, 2026math.NTAI-generatedLeanscore 1

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

    Victor V. Albert

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

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

    anthropics

    Lean projectAug 6, 2026cs.DSLeanscore 1

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

    Claude

    Lean projectAug 6, 2026math.NTAI-generatedLeanscore 1

  28. Long-running Claude for scientific computing

    Anthropic

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

  29. Affine profile reduction for fractional triangle packings in split graphs

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  30. Generic strongly transitive sequences in weakly mixing Polish systems

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 29, 2026math.DSmachine-checkedscore 0

  31. Self-similar counterexamples to three conjectures of Lorentz

    Yimin Zhong

    Palomar RegistryOct 29, 2026math.CAmachine-checkedscore 0

  32. Linked-site block laws of all lengths identify the collapsed mutation-scaled genealogy

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  33. Complete-split extremizers for the fractional triangle-cover deficit on chordal graphs

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  34. Formalizing Delcourt–Postle’s refined absorption in Lean

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  35. Linear-error clique partitions of split graphs

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  36. The Corrádi–Hajnal theorem on vertex-disjoint cycles

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  37. The Moser–Tardos theorem (algorithmic Lovász Local Lemma)

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 29, 2026math.COmachine-checkedscore 0

  38. A kernel-checked implementation of the biallelic two-locus sampling recursion, and a table checker

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  39. A prespecified betting test of panmixia against a two-deme history: size and power

    X. Lee, N. Volkov

    Palomar RegistryOct 29, 2026q-bio.PEmachine-checkedscore 0

  40. Serre’s conjecture on the Artin character for a regular local ring

    Mark Kisin

    HexagonOct 28, 2026math.AGAI-generatedscore 0

  41. Do Self-Improving Coding Agents Beat Textbook Baselines? Evidence from a Darwin Gödel Machine Port and Two Published Systems

    Tejasvi Singh Tomar

    HexagonOct 28, 2026cs.AIAI-generatedscore 0

  42. The Hilton–Milner theorem

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  43. CONDITIONAL on RH and cited zero counts: Goldbach numbers in intervals of length 4.45 log^2 x

    Steve Hubbard

    Palomar RegistryOct 28, 2026math.NTmachine-checkedscore 0

  44. Kirkman's theorem on Steiner triple systems

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  45. Nash-Williams' weak orientation theorem

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  46. Edmonds cardinality matroid intersection

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  47. Knaster–Reichbach homeomorphism extension on Cantor space

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 28, 2026math.GNmachine-checkedscore 0

  48. Cantor dynamical extension with a dense forward orbit

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 28, 2026math.GNmachine-checkedscore 0

  49. Finite-Lp vorticity nonuniqueness for two-dimensional Euler

    Tao Tao, Haiqi Zhang

    Palomar RegistryOct 28, 2026math.APmachine-checkedscore 0

  50. Stanley's acyclic orientations and chromatic reciprocity

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

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