- Unimodality of the independence sequence of a finite forest (Erdős Problem 993)
Kevin Vallier, Tong Zhang
Palomar RegistrySource: github.comOct 11, 2026math.COmachine-checkedscore 0
- Michael's biquotient-map product and characterization theorems
Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz
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- An explicit computable transcendental counterexample for Erdős Problem #206
Yuhang Shi
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- Erdos607
Raphael Delors
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- Erdős 261: dyadic weighted representations n / 2^n = ∑ a_k / 2^(a_k)
Linmiao Xu
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- Replica symmetry breaking at arbitrary depth
P. M. Aronow, Patrick Lopatto
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- Fröberg's conjecture through degree 2d in sufficiently many variables
Vlado Vojdanovski
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- Exact robust gaps in finite open chiral chains
JD Jones
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- Quantitative permanence and recovery with vanishing reverse rates
Michael Mislan
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- Erdős Problem #824 under a smooth shifted-prime hypothesis
Shisheng Li, Zhong Zhuang
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- An Exponent of 1.043 for the Unit Distance Problem: Lean formalization at exponent 1.04315, conditional on one zeta inequality
Eric Naslund
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- Full replica symmetry breaking in the Sherrington–Kirkpatrick model
P. M. Aronow, Patrick Lopatto
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- Nearly minimax variance estimation under rough random design
P. M. Aronow, Patrick Lopatto
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- An interval-moment criterion for square-difference-free integer sets
Eric Naslund
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- Ginibre Poincaré formalization
Djalil Chafaï
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- The generalized Fermat equation x² + y⁵ = z⁷
Manvir Jaswal
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- Strict Dirichlet Pólya inequality on simply connected planar domains
Quanyu Tang, Zuoqin Wang
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- A zero-density estimate with exponent 3(1−σ)/(2σ) for the Riemann zeta function
Mark Lewko
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- Erdős Problem 809: an independent proof of the seven-cycle threshold
Asad Shahab
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- Strict Neumann Polya inequality on simply connected planar domains
Quanyu Tang, Zuoqin Wang
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- Finite Chains of Two-Complexes and Acyclic Covers
Laurent Bartholdi, Roman Mikhailov
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- Brill--Noether existence and rank for graphs through genus six
Nathan Pflueger
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- MaxSNP-completeness and APX-completeness of MAX-3-SAT and 3-OCCURRENCE MAX-3-SAT (the PCP theorem and hardness of approximation) in Lean 4
Robert D. Barish
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- Inverse classification for innerly joint short zero-sum subsequences in C3^3
John Fairfax-Ball
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- MIP* = RE
Thomas Vidick
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- Replica symmetry up to the de Almeida–Thouless line in the Sherrington–Kirkpatrick model
P. M. Aronow, Patrick Lopatto
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- Hörmander's hypoellipticity theorem and the Rothschild–Stein theory
Scott Armstrong, Amélie Loher
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- Uniform permanence of endotactic reaction networks with measurable rates
Michael Mislan
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- Planar Euclidean midpoint rigidity
JD Jones
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- Optimality, uniqueness and stability of Gerver's sofa from one coercive certificate, formalized in Lean 4
The-Anh Vu-Le
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- Sharp Wasserstein propagation of chaos from correlated initial data
Yuhao Lei
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- A strongly tempered Meyer space of countably infinite Hamel dimension
Jamie Martin
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- Improved exponents for 3SUM and APSP from triangles in sparse lopsided graphs
Jihoon Hyun
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- Area stability of planar plank covers and Bezdek's annulus theorem
Arseniy Akopyan
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- Matrix multiplication exponent at most 9/4 over arbitrary fields
Sela Navot
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- Stability of Matter in Lean: Lieb–Thirring, Ionization, the Thermodynamic Limit and Thomas–Fermi Theory
Scott Armstrong, Amélie Loher
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- Sharp robustness and stability of the four-row permanent inequality
JD Jones
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- A counterexample to Vaught's conjecture for infinitary logic
Nathanael Ackerman, Cameron Freer, Robin Knight
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- Two partial balayage principles for weak-type estimates
Yongxi Lin
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- Alexandroff Property of Metric Indecomposable Continua
Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz
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- Explicit Szemerédi–Trotter bounds over arbitrary fields
Mark Lewko
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- Linear upper bounds for the first Betti number of four-generated numerical semigroups
Ben Keene
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- The CLARK Tile: An Aperiodic Monotile in Five Dimensions
Conor Grogan
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- LeanMMBound: the matrix multiplication exponent is below 2.3710449
Oliver Proudfoot, Andrew Perrault
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- Order Arcs Between Subcontinua
Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz
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- The density hypothesis for σ > 3/4
Mark Lewko
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- Erdős 374: classical square products of factorials
alexander
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- Six concyclic points satisfy the Euclidean Ramsey tensor criterion, as does every spherical set of at most m + 4 points of affine dimension m and every algebraic spherical set; given the classification's sufficiency half, these sets are Ramsey (the algebraic ones when spanning)
JD Jones
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- Erdős 1139: large gaps between almost-primes
Linmiao Xu
Palomar RegistrySource: github.comOct 6, 2026math.NTmachine-checkedscore 0
- Sierpinski Closed Partitions of Continua
Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz
Palomar RegistrySource: github.comOct 6, 2026math.GNmachine-checkedscore 0