| On Liberty Mill, John Stuart | L2–5 Introductory | Public domain | mirrored | 219 pp. | gutenberg |
| Online Centralized Non-parametric Change-point Detection via Graph-based Likelihood-ratio Estimation Alejandro de la Concha, Argyris Kalogeratos, Nicolas Vayatis | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| Online Learning of Smooth Functions Jesse Geneson, Ethan Zhou | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| Online Linearized LASSO Shuoguang Yang, Yuhao Yan, Xiuneng Zhu | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| Online multiple testing with super-uniformity reward Sebastian D\"ohler, Iqraa Meah, Etienne Roquain | L4–5 Advanced | CC-BY | mirrored | 48 pp. | arxiv |
| On Machine Learning Knowledge Representation In The Form Of Partially Unitary Operator. Knowledge Generalizing Operator Vladislav Gennadievich Malyshkin | L4–5 Advanced | CC-BY | mirrored | 44 pp. | arxiv |
| On Markov--up processes and their recurrence properties Alexander Veretennikov, Maria Veretennikova | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On Mathematics of Bubbles in Dynamical Systems Petr Klan | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On Matrix-Valued Herglotz Functions Fritz Gesztesy, Eduard Tsekanovskii | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On Mixing Distributions Via Random Orthogonal Matrices and the Spectrum of the Singular Values of Multi-Z Shaped Graph Matrices Wenjun Cai, Aaron Potechin | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On moduli spaces of 4- or 5-instanton bundles F.Han | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On nonexistence of non-constant volatility in the Black-Scholes formula K. Hamza, F.C. Klebaner | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On non-markovian nature of stock trading Andrei Leonidov | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On one connection between Lorentzian and Euclidean metrics Bozhidar Z. Iliev (Institute for Nuclear Research, Nuclear Energy, Bulgarian Academy of Sciences | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On partial monotonicity of some extropy measures Nitin Gupta, Santosh Kumar Chaudhary | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On pathwise uniqueness for multidimensional McKean--Vlasov equations Alexander Veretennikov | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On periodic solutions of a Hamilton-Jacobi equation with periodic forcing Andrei Sobolevskii | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On perpetual American put valuation and first-passage in a regime-switching model with jumps Z. Jiang, M.R. Pistorius | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On Problem of Best Circle to Discontinuous Groups in Hyperbolic Plane Arnasli Yahya | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On Quantum Mechanics in Friedmann-Robertson-Walker Universe E.A.Tagirov | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On Rational Bubbles and Fat Tails Thomas Lux (Bonn University), D. Sornette (CNRS/Univ. Nice, UCLA) | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On Redundancy Elimination Tolerant Scheduling Rules F. Ferrucci, G. Pacini, M.I. Sessa | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On Robust Utility Maximization Traian A Pirvu, Ulrich G Haussmann | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On Simple Mean-Field Stochastic Model of Market Dynamics Guennadi Saiko | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On Skoda's theorem for Nadel-Lebesgue multiplier ideal sheaves on singular complex spaces and regularity of weak K\"ahler-Einstein metrics Zhenqian Li | L4–5 Advanced | CC-BY | mirrored | 14 pp. | arxiv |
| On Some Characterization of GS-exponential kind of Convex Functions Ehtesham Akhter, Musavvir Ali | L4–5 Advanced | CC-BY-NC-SA | mirrored | 6 pp. | arxiv |
| On Some Characterizations of General s-Convex Functions Musavvir Ali, Ehtesham Akhter | L4–5 Advanced | CC-BY-NC-SA | mirrored | 9 pp. | arxiv |
| On static manifolds satisfying an overdetermined Robin type condition on the boundary Tiarlos Cruz, Ivaldo Nunes | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On the $A_{\infty}$-Category of a Holomorphic Moment Map Ahsan Z. Khan | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On the absence of solutions of differential inequalities with $\infty$-Laplacian A. A. Kon'kov | L4–5 Advanced | CC-BY | mirrored | 17 pp. | arxiv |
| On the accuracy and running time of GSAT Deborah East, Miroslaw Truszczynski | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On the AF embeddability of crossed products of AF algebras by the integers Nathanial P. Brown | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On the Arrow-Hurwicz differential system for linearly constrained convex minimization Simon K. Niederl\"ander | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On the Asymptotics for the Vacuum Einstein Constraint Equations Justin Corvino, Richard M. Schoen | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On the Average Similarity Degree between Solutions of Random k-SAT and Random CSPs Ke Xu, Wei Li | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On the causality-preservation capabilities of generative modelling Yves-C\'edric Bauwelinckx, Jan Dhaene, Tim Verdonck | L4–5 Advanced | CC-BY-NC-ND | mirrored | 27 pp. | arxiv |
| On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus Ze\'ev Rudnick, Igor Wigman | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On the Chaotic Orbits of Disc-Star-Planet Systems Ing-Guey Jiang (IANCU, Taiwan), Li-Chin Yeh (NHCTC | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On the chromatic number of random regular hypergraphs Patrick Bennett, Alan Frieze | L4–5 Advanced | CC-BY | mirrored | 13 pp. | arxiv |
| On the classification of definable ccc forcing notions Mohammad Golshani, Haim Horowitz, Saharon Shelah | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On the classification of hyperbolic root systems of the rank three. Part I Viacheslav V. Nikulin | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On The Closest String and Substring Problems Ming Li, Bin Ma, Lusheng Wang | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On the coalitional decomposition of parameters of interest Marouane Il Idrissi (EDF R&D PRISME, IMT, SINCLAIR AI Lab) | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On the cohomology of the ramified PEL unitary Rapoport-Zink space of signature $(1,n-1)$ Joseph Muller | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |
| On the Complexity of Real Functions Mark Braverman | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On the Complexity of Separating Cutting Planes for the Knapsack Polytope Alberto Del Pia, Jeff Linderoth, Haoran Zhu | L4–5 Advanced | CC-BY | mirrored | 27 pp. | arxiv |
| On the cone of curves of an abelian variety Thomas Bauer | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On the Construction of Particle Distributions with Specified Single and Pair Densities O. Costin, J. L. Lebowitz | L4–5 Advanced | Licence unknown | link only | — | arxiv |
| On the Convergence of Randomized and Greedy Relaxation Schemes for Solving Nonsingular Linear Systems of Equations Andreas Frommer, Daniel B. Szyld | L4–5 Advanced | CC-BY | mirrored | 28 pp. | arxiv |
| On the Convergence Properties of Optimal AdaBoost Joshua Belanich, Luis E. Ortiz | L4–5 Advanced | arxiv-nonexclusive | link only | — | arxiv |