Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T12:41:48.220690Z
Paper Citation Record · LEDGER
As of 24 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation for arXiv:2504.12275.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T12:41:48.220690Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-27T00:16:52.159347Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T21:38:58.977811Z
58 of 58 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d2fa3fcc-0a2a-4d49-acf5-d9a5a925098a · outbound
The rank evolution of block bidiagonal matrices over finite fields Infinite p-adic random matrices and ergodic decomposition of p-adic Hua measures
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ee698780-1146-438d-ad68-a7951241d51c · outbound
The rank evolution of block bidiagonal matrices over finite fields Delocalization for a class of random block band matrices
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 95d01814-958a-4a61-91d8-bafd3bce0f99 · outbound
The rank evolution of block bidiagonal matrices over finite fields Modeling the distribution of ranks, Selmer groups, and Shaf arevich–Tate groups of elliptic curves
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0a8d0320-d5b8-48b0-9569-a54a0a7d90e1 · outbound
The rank evolution of block bidiagonal matrices over finite fields Random band matrices
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation beee769c-e325-4ac2-87d0-b54257d60cea · outbound
The rank evolution of block bidiagonal matrices over finite fields Random band matrices in the delocalized phase, II: Generalized resolvent estimates
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 966eacb0-308f-4085-8e9a-9e34f399e8f4 · outbound
The rank evolution of block bidiagonal matrices over finite fields Random band ma trices in the delocalized phase I: Quantum unique ergodicity and universality
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a2a86d41-d294-48ef-82e0-9727a3cba845 · outbound
The rank evolution of block bidiagonal matrices over finite fields The density of states and local eigenvalue statistics for random band matrices of fixed width
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c79bb366-5d95-4417-bc6e-2665101967f0 · outbound
The rank evolution of block bidiagonal matrices over finite fields The asymptotic probability that a random biased matrix is invertible
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 91195846-fd40-427e-89b1-08ab54fa30eb · outbound
The rank evolution of block bidiagonal matrices over finite fields Random band matrix localization by scalar fluctuations
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45b1d5c6-2bc6-4228-95c0-dcb43fa4464f · outbound
The rank evolution of block bidiagonal matrices over finite fields Generalizations of results of Friedman and Washing- ton on cokernels of random p-adic matrices
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 194a57d6-e37d-4e4f-b94a-4c3f1062d66d · outbound
The rank evolution of block bidiagonal matrices over finite fields Polynomial equations for matrices over integers modulo a prime power and the cokernel of a random matrix
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 48723817-7c6f-4aaa-9fe8-916a41c4ad6a · outbound
The rank evolution of block bidiagonal matrices over finite fields The distribution of the cokernel of a polynomial evaluated at a random integral matrix
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d0a3eb8-3a9e-432d-853a-7832d03e60b5 · outbound
The rank evolution of block bidiagonal matrices over finite fields Dynamical localization for random band matrices up to w ≪ n1/4
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9df95b0b-5354-450d-8b02-bbdd92555e2d · outbound
The rank evolution of block bidiagonal matrices over finite fields On a Cohen–Lenstra heuristic for Jacobians of random graphs
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 37f24786-7867-4bea-9949-26a85d818101 · outbound
The rank evolution of block bidiagonal matrices over finite fields A note on Ja cobians, Tutte polynomials, and two-variable zeta functions of graphs
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 76845a3f-9134-4c49-994e-f755edb7659c · outbound
The rank evolution of block bidiagonal matrices over finite fields Heuristics on clas s groups of number fields
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 71026900-6858-4055-a16d-abd9dafbde47 · outbound
The rank evolution of block bidiagonal matrices over finite fields Heuristics on Tate-Shafarevitc h groups of elliptic curves defined over Q
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 64cee3a0-0062-4454-b701-d1b3b4f9da5c · outbound
The rank evolution of block bidiagonal matrices over finite fields Quantum diffusion and de localization for band matrices with general distribution
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation abd2ebf5-2e3c-44f4-9b3a-52ea013842da · outbound
The rank evolution of block bidiagonal matrices over finite fields The Altshuler–Shklovs kii formulas for random band ma- trices I: the unimodular case
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b7d18fbd-60e8-46a9-9b2b-d35e665d2848 · outbound
The rank evolution of block bidiagonal matrices over finite fields The Altshuler–Shklovs kii formulas for random band ma- trices II: the general case
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 623df989-0bc4-449e-9c64-1c0b43958252 · outbound
The rank evolution of block bidiagonal matrices over finite fields Delocalization and diffusion profile for random band matrices
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e590b84b-bd01-435d-8e89-888221218b7b · outbound
The rank evolution of block bidiagonal matrices over finite fields Time-inhomogeneous random walks on finite groups and cokernels of random integer block matrices
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a955b71f-45e9-40a5-833d-07919f1f7cc9 · outbound
The rank evolution of block bidiagonal matrices over finite fields On the local eigenvalue sta tistics for random band matrices in the localization regime
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 104806d7-0cba-4ed8-8e5a-e949756ed4b0 · outbound
The rank evolution of block bidiagonal matrices over finite fields The distribution of sandpile groups of ra ndom graphs with their pairings
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation fea8fa56-f14a-4504-a788-646967f116c5 · outbound
The rank evolution of block bidiagonal matrices over finite fields Joint distribution of the cok ernels of random p-adic matrices ii
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3b0738c8-9245-43c7-8678-756603014cab · outbound
The rank evolution of block bidiagonal matrices over finite fields Singularity probabilities f or random matrices over finite fields
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9c9586c6-b83f-43f2-b561-ae80114a0493 · outbound
The rank evolution of block bidiagonal matrices over finite fields Random $p$-adic matrices with fixed zero entries and the Cohen--Lenstra distribution
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f0c6573-1fda-49e2-b726-3bf28055fa02 · outbound
The rank evolution of block bidiagonal matrices over finite fields Limit be havior of the number of solutions of a system of random linear equations over a finite field or a finit e ring
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 79691695-14ee-47a7-99cb-3261c79a4c19 · outbound
The rank evolution of block bidiagonal matrices over finite fields On the rank of matrices wit h random boolean elements
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9a2beb03-2367-4936-a294-a5007bb347b6 · outbound
The rank evolution of block bidiagonal matrices over finite fields Joint distribution of the cokernels of rand om p-adic matrices
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 82eae7c6-c2f6-4c7d-89fb-16cc30ce9099 · outbound
The rank evolution of block bidiagonal matrices over finite fields Universality of the cokernels of random p-adic Hermitian matrices
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation fc235adf-2972-43cc-82b8-05f4f39e2403 · outbound
The rank evolution of block bidiagonal matrices over finite fields A random walk on the category of finite abelian $p$-groups
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e25bb541-85bc-4faa-ba1e-7a6f4d83a313 · outbound
The rank evolution of block bidiagonal matrices over finite fields The distribution of sandpile groups o f random regular graphs
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2ef67e78-8095-4ad0-8d34-b1ba4d4eb278 · outbound
The rank evolution of block bidiagonal matrices over finite fields The $2$-torsion of determinantal hypertrees is not Cohen-Lenstra
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fd7c1407-d715-4fe4-b80d-ce3585f6b560 · outbound
The rank evolution of block bidiagonal matrices over finite fields A phase transition for the cokernels of random band matrices over the p-adic integers
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation be5cfc35-69a6-4c9f-83b0-8b2aca18f20d · outbound
The rank evolution of block bidiagonal matrices over finite fields Universal constant order fluctuation s for the cokernels of block lower triangular matrices
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 24ab1e72-9898-4ee9-9a11-3873ffa53e1c · outbound
The rank evolution of block bidiagonal matrices over finite fields Cohen–Lenstra distribution for spar se matrices with determinantal biasing
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ed2f58a5-8cd7-43a1-ab53-67a0e1108f20 · outbound
The rank evolution of block bidiagonal matrices over finite fields Rank fluctuations of matrix products and a moment method for growing groups
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4ba4cc64-ec6e-4514-b18f-71d3a7147323 · outbound
The rank evolution of block bidiagonal matrices over finite fields Universality for coker nels of random matrix products
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4a5391fb-ce66-4ac7-a0f3-cd506fa7724d · outbound
The rank evolution of block bidiagonal matrices over finite fields Random integral matrices: universality of surjectivity and the cokernel
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9e77395b-12a2-4f05-9b9a-66b991b1dd53 · outbound
The rank evolution of block bidiagonal matrices over finite fields Local and global universality of random matrix cokernels
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b27dda7d-d2b7-4b6e-9040-cf3d4f13c137 · outbound
The rank evolution of block bidiagonal matrices over finite fields On the Wegner orbital model
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 15ba1dfa-a7d7-4d70-8941-95ade9e97e7e · outbound
The rank evolution of block bidiagonal matrices over finite fields Eigenvector localization for random band matrices with power law band width
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a35d37e4-a616-456f-b9e8-b9a2fb55c7f9 · outbound
The rank evolution of block bidiagonal matrices over finite fields Gaussian universality of p-adic random matrix products via corners
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 267ff963-4b3e-4957-a642-e5ec8aaf65c8 · outbound
The rank evolution of block bidiagonal matrices over finite fields Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4db47f11-d238-41f8-8dbd-04917580fb2a · outbound
The rank evolution of block bidiagonal matrices over finite fields Non-Archimedean GUE corners and Hecke modules
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0544b939-58fb-4237-8d11-b5800bb34691 · outbound
The rank evolution of block bidiagonal matrices over finite fields Limits and fluctuations of p-adic rando m matrix products
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d8ab37f0-8a1f-4803-87c9-fba15f46bc0a · outbound
The rank evolution of block bidiagonal matrices over finite fields Hall–Littlewood polynomials, bounda ries, and p-adic random matrices
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 06c40eb7-9c2f-46c6-b4c8-4e982cfdc836 · outbound
The rank evolution of block bidiagonal matrices over finite fields Reflecting Poisson walks and dynamical universality in p-adic random matrix theory
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c13a9c1e-214e-44c7-a1b9-d8e370983d8d · outbound
The rank evolution of block bidiagonal matrices over finite fields What is a $p$-adic Dyson Brownian motion?
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 01986b5a-ddd6-4f5f-8e0c-a86d1c80f754 · outbound
The rank evolution of block bidiagonal matrices over finite fields Local limits in p-adic random matrix th eory
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation fb18138e-d9e7-4153-88d5-4a5be8da7c18 · outbound
The rank evolution of block bidiagonal matrices over finite fields Statistics of number fields and function fields
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d440ebd3-af79-4797-983f-3b0dcaf77e76 · outbound
The rank evolution of block bidiagonal matrices over finite fields The distribution of sandpile groups of ra ndom graphs
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 63dd951e-b1f9-42bf-9ca7-58ea36f8009b · outbound
The rank evolution of block bidiagonal matrices over finite fields Random integral matrices and th e Cohen-Lenstra heuristics
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 91c5b798-b342-4025-84eb-6225e87e90e7 · outbound
The rank evolution of block bidiagonal matrices over finite fields Number field counting, class gro up heuristics, and computation
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a7bd161f-1cf1-4053-888c-9b555d69e378 · outbound
The rank evolution of block bidiagonal matrices over finite fields Probability theory for random g roups arising in number theory
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5fae0d7f-922a-4483-903c-1ae5ef68676e · outbound
The rank evolution of block bidiagonal matrices over finite fields Random band matrices in the delocal ized phase, III: A veraging fluctuations
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation fa9d3606-b74a-4d7d-b89a-d3ccfa40abaa · outbound
The rank evolution of block bidiagonal matrices over finite fields Unresolved cited work
Reference 402
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c01ca632-4d55-4c40-98d4-cc8f5b0dd8c8 · inbound
Persistence diagrams of random triangular matrices over finite fields The rank evolution of block bidiagonal matrices over finite fields
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.