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Paper Citation Record · LEDGER

The rank evolution of block bidiagonal matrices over finite fields

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.

pith.paper-citation-record.v1
2504.12275 v1

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:41:48.220690Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T00:16:52.159347Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-03T21:38:58.977811Z

Reference resolution

58 of 58 outbound references displayed

  • verified exact4
  • verified fuzzy42
  • unresolved11
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d2fa3fcc-0a2a-4d49-acf5-d9a5a925098a · outbound

This paper cites Infinite p-adic random matrices and ergodic decomposition of p-adic Hua measures.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.585953Z

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.

source=pdf_text observed=2026-08-16T12:41:47.925309Z digest=sha256:6e4cd80fc1427bd2e010ca6efaa7b24987b04012d4db0d25fcab78940d08a376

Observation ee698780-1146-438d-ad68-a7951241d51c · outbound

This paper cites Delocalization for a class of random block band matrices.

The rank evolution of block bidiagonal matrices over finite fields Delocalization for a class of random block band matrices

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.563064Z

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.

source=pdf_text observed=2026-08-16T12:41:47.931437Z digest=sha256:a3d3a271988cad02faa4141eacf6f8d771ff2f01e9d151a088eb46fe34792258

Observation 95d01814-958a-4a61-91d8-bafd3bce0f99 · outbound

This paper cites Modeling the distribution of ranks, Selmer groups, and Shaf arevich–Tate groups of elliptic curves.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.542598Z

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.

source=pdf_text observed=2026-08-16T12:41:47.936745Z digest=sha256:0c96c5c29b175b51c2eb922898f4e17d66023285342930df9bf56cb56d6be2cd

Observation 0a8d0320-d5b8-48b0-9569-a54a0a7d90e1 · outbound

This paper cites Random band matrices.

The rank evolution of block bidiagonal matrices over finite fields Random band matrices

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.522871Z

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.

source=pdf_text observed=2026-08-16T12:41:47.942193Z digest=sha256:772c29a2cf63d8ce554d062cad0af991c38f9b66bd72f71883982865c22367fa

Observation beee769c-e325-4ac2-87d0-b54257d60cea · outbound

This paper cites Random band matrices in the delocalized phase, II: Generalized resolvent estimates.

The rank evolution of block bidiagonal matrices over finite fields Random band matrices in the delocalized phase, II: Generalized resolvent estimates

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.505968Z

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.

source=pdf_text observed=2026-08-16T12:41:47.947794Z digest=sha256:0ff6c390d549cad9fe421e7ad7d9b803b6c57e121e4fe78f377e218da9704177

Observation 966eacb0-308f-4085-8e9a-9e34f399e8f4 · outbound

This paper cites Random band ma trices in the delocalized phase I: Quantum unique ergodicity and universality.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.489249Z

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.

source=pdf_text observed=2026-08-16T12:41:47.953128Z digest=sha256:83ccff56d5fad9ee5cdcbed08738f241efbf656f891fd33a24599497b08285f2

Observation a2a86d41-d294-48ef-82e0-9727a3cba845 · outbound

This paper cites The density of states and local eigenvalue statistics for random band matrices of fixed width.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.472178Z

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.

source=pdf_text observed=2026-08-16T12:41:47.958761Z digest=sha256:55bbd81b94bea3acaae435026bdac8fc14c680d44ef5e1383c0ac6068b991428

Observation c79bb366-5d95-4417-bc6e-2665101967f0 · outbound

This paper cites The asymptotic probability that a random biased matrix is invertible.

The rank evolution of block bidiagonal matrices over finite fields The asymptotic probability that a random biased matrix is invertible

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.454107Z

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.

source=pdf_text observed=2026-08-16T12:41:47.963503Z digest=sha256:0485c99914f0f394681bb15622e67e1667bfba2cc6ce597e87d2391c23394cde

Observation 91195846-fd40-427e-89b1-08ab54fa30eb · outbound

This paper cites Random band matrix localization by scalar fluctuations.

The rank evolution of block bidiagonal matrices over finite fields Random band matrix localization by scalar fluctuations

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-16T12:41:47.969510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:41:47.969510Z digest=sha256:f1a72b8f10262c025ddf3cc0d8128f2bb3ba30b6275a2e8b6ead68595aafd91e

Observation 45b1d5c6-2bc6-4228-95c0-dcb43fa4464f · outbound

This paper cites Generalizations of results of Friedman and Washing- ton on cokernels of random p-adic matrices.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.433886Z

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.

source=pdf_text observed=2026-08-16T12:41:47.976496Z digest=sha256:d04b10c1c2fc8b535447f74b7f9f1955a692c02e3315014aa2297d5bba6c59c2

Observation 194a57d6-e37d-4e4f-b94a-4c3f1062d66d · outbound

This paper cites Polynomial equations for matrices over integers modulo a prime power and the cokernel of a random matrix.

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

Resolution
verified exact
local_arxiv, observed 2026-08-16T12:41:48.709136Z

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.

source=pdf_text observed=2026-08-16T12:41:47.981453Z digest=sha256:6844bb929635975c9986a16af908d8777aeb5a9ff988f8d233f7c01721854d11

Observation 48723817-7c6f-4aaa-9fe8-916a41c4ad6a · outbound

This paper cites The distribution of the cokernel of a polynomial evaluated at a random integral matrix.

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

Resolution
unresolved
no resolver link, observed 2026-08-16T12:41:47.987979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:41:47.987979Z digest=sha256:17ece6d83ea91197e38d4c000b370fc1d26b1156c4232e5d54d3d9692bb96763

Observation 2d0a3eb8-3a9e-432d-853a-7832d03e60b5 · outbound

This paper cites Dynamical localization for random band matrices up to w ≪ n1/4.

The rank evolution of block bidiagonal matrices over finite fields Dynamical localization for random band matrices up to w ≪ n1/4

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.413297Z

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.

source=pdf_text observed=2026-08-16T12:41:47.993907Z digest=sha256:768e8b55528bb36d8dfe33e135d9ec9c65b0b1409a58529eb6efcaa608cb5b91

Observation 9df95b0b-5354-450d-8b02-bbdd92555e2d · outbound

This paper cites On a Cohen–Lenstra heuristic for Jacobians of random graphs.

The rank evolution of block bidiagonal matrices over finite fields On a Cohen–Lenstra heuristic for Jacobians of random graphs

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.390473Z

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.

source=pdf_text observed=2026-08-16T12:41:47.999230Z digest=sha256:d5f62896ac7c21b543c9f344a309c0ebd3e5f80261b2440ed79f95bf89674a92

Observation 37f24786-7867-4bea-9949-26a85d818101 · outbound

This paper cites A note on Ja cobians, Tutte polynomials, and two-variable zeta functions of graphs.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.372658Z

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.

source=pdf_text observed=2026-08-16T12:41:48.004476Z digest=sha256:69e8b5da66a9df2f94e55a03b46f233e7d36732412042b289517121b6fc6d206

Observation 76845a3f-9134-4c49-994e-f755edb7659c · outbound

This paper cites Heuristics on clas s groups of number fields.

The rank evolution of block bidiagonal matrices over finite fields Heuristics on clas s groups of number fields

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.354116Z

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.

source=pdf_text observed=2026-08-16T12:41:48.009283Z digest=sha256:846f26b8eb7b9915e2ae1beb119396dc823b8292bc05afff11871a6249b84abe

Observation 71026900-6858-4055-a16d-abd9dafbde47 · outbound

This paper cites Heuristics on Tate-Shafarevitc h groups of elliptic curves defined over Q.

The rank evolution of block bidiagonal matrices over finite fields Heuristics on Tate-Shafarevitc h groups of elliptic curves defined over Q

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.335241Z

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.

source=pdf_text observed=2026-08-16T12:41:48.014011Z digest=sha256:3298c799f3d3fa82432675112b23056fe3bf056dc158565d2421150f2b9f2b5c

Observation 64cee3a0-0062-4454-b701-d1b3b4f9da5c · outbound

This paper cites Quantum diffusion and de localization for band matrices with general distribution.

The rank evolution of block bidiagonal matrices over finite fields Quantum diffusion and de localization for band matrices with general distribution

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.314118Z

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.

source=pdf_text observed=2026-08-16T12:41:48.018734Z digest=sha256:252bc8069e717d6c0402a9156c0d09d0edc227c946e4a2e278a82f88fe9fa7b7

Observation abd2ebf5-2e3c-44f4-9b3a-52ea013842da · outbound

This paper cites The Altshuler–Shklovs kii formulas for random band ma- trices I: the unimodular case.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.295021Z

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.

source=pdf_text observed=2026-08-16T12:41:48.023469Z digest=sha256:37e08b6b16d87ca2b79b7959c1063744fc0fd2cfe62c154d72307c2cd4f548d5

Observation b7d18fbd-60e8-46a9-9b2b-d35e665d2848 · outbound

This paper cites The Altshuler–Shklovs kii formulas for random band ma- trices II: the general case.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.274114Z

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.

source=pdf_text observed=2026-08-16T12:41:48.028376Z digest=sha256:7eb7fd6416ab06d4fe16a9b5e3e5df761662797d55aeeae091f8e3d1a2b352b6

Observation 623df989-0bc4-449e-9c64-1c0b43958252 · outbound

This paper cites Delocalization and diffusion profile for random band matrices.

The rank evolution of block bidiagonal matrices over finite fields Delocalization and diffusion profile for random band matrices

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.253310Z

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.

source=pdf_text observed=2026-08-16T12:41:48.033034Z digest=sha256:ac91476d87ef45fe79f70efe5414ace77e2c536fe1cdc640f3d225f5a56b77fa

Observation e590b84b-bd01-435d-8e89-888221218b7b · outbound

This paper cites Time-inhomogeneous random walks on finite groups and cokernels of random integer block matrices.

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

Resolution
verified exact
local_arxiv, observed 2026-08-16T12:41:48.661410Z

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.

source=pdf_text observed=2026-08-16T12:41:48.038682Z digest=sha256:41d850da56a1f4516f4722d978c554f14e0f96213214548291894b6aa45a42a1

Observation a955b71f-45e9-40a5-833d-07919f1f7cc9 · outbound

This paper cites On the local eigenvalue sta tistics for random band matrices in the localization regime.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.234876Z

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.

source=pdf_text observed=2026-08-16T12:41:48.043758Z digest=sha256:5b6dd8297f7eba6f591d792afbe7cd0008592ede4fecaec7e0dcee0f26ea1ac3

Observation 104806d7-0cba-4ed8-8e5a-e949756ed4b0 · outbound

This paper cites The distribution of sandpile groups of ra ndom graphs with their pairings.

The rank evolution of block bidiagonal matrices over finite fields The distribution of sandpile groups of ra ndom graphs with their pairings

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.215965Z

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.

source=pdf_text observed=2026-08-16T12:41:48.048420Z digest=sha256:4377cc797d3c81782b3fbecff6892d9149de91fdbb3716afb85fef96db22d7a2

Observation fea8fa56-f14a-4504-a788-646967f116c5 · outbound

This paper cites Joint distribution of the cok ernels of random p-adic matrices ii.

The rank evolution of block bidiagonal matrices over finite fields Joint distribution of the cok ernels of random p-adic matrices ii

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.195952Z

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.

source=pdf_text observed=2026-08-16T12:41:48.053134Z digest=sha256:4ee1f76261a41d44245bd10813b5091be3874cfa71da92a325a4eeeba2abb264

Observation 3b0738c8-9245-43c7-8678-756603014cab · outbound

This paper cites Singularity probabilities f or random matrices over finite fields.

The rank evolution of block bidiagonal matrices over finite fields Singularity probabilities f or random matrices over finite fields

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.175989Z

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.

source=pdf_text observed=2026-08-16T12:41:48.057825Z digest=sha256:05db115889370a4dd8c3d5bccf7b5a1a2edd1a5a85f41672b611da741bd16bbb

Observation 9c9586c6-b83f-43f2-b561-ae80114a0493 · outbound

This paper cites Random $p$-adic matrices with fixed zero entries and the Cohen--Lenstra distribution.

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

Resolution
unresolved
no resolver link, observed 2026-08-16T12:41:48.062808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:41:48.062808Z digest=sha256:25f76b77c606273b680e8b9d1562cdc3d1aa394e1d1ece8d01826d7805bd359e

Observation 6f0c6573-1fda-49e2-b726-3bf28055fa02 · outbound

This paper cites Limit be havior of the number of solutions of a system of random linear equations over a finite field or a finit e ring.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.158797Z

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.

source=pdf_text observed=2026-08-16T12:41:48.068590Z digest=sha256:aa2aa84ab61406cc864034217d077826a5dd6eefe6f8fa21a6ac179b3ff2ec7f

Observation 79691695-14ee-47a7-99cb-3261c79a4c19 · outbound

This paper cites On the rank of matrices wit h random boolean elements.

The rank evolution of block bidiagonal matrices over finite fields On the rank of matrices wit h random boolean elements

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.141340Z

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.

source=pdf_text observed=2026-08-16T12:41:48.073363Z digest=sha256:cf62206f8e9af231a113b740a16d42b66da852205ffed58d4663c98ee095359f

Observation 9a2beb03-2367-4936-a294-a5007bb347b6 · outbound

This paper cites Joint distribution of the cokernels of rand om p-adic matrices.

The rank evolution of block bidiagonal matrices over finite fields Joint distribution of the cokernels of rand om p-adic matrices

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.122366Z

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.

source=pdf_text observed=2026-08-16T12:41:48.078001Z digest=sha256:c2da49e9a3a48828309478fd58c051871f78dd7e8a2669be3b42f2dccf757134

Observation 82eae7c6-c2f6-4c7d-89fb-16cc30ce9099 · outbound

This paper cites Universality of the cokernels of random p-adic Hermitian matrices.

The rank evolution of block bidiagonal matrices over finite fields Universality of the cokernels of random p-adic Hermitian matrices

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.101725Z

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.

source=pdf_text observed=2026-08-16T12:41:48.082783Z digest=sha256:010df3136a88dfbfe46ab1d9884348421b9fb58f4c1c1d3fe8c71a74b356c1e9

Observation fc235adf-2972-43cc-82b8-05f4f39e2403 · outbound

This paper cites A random walk on the category of finite abelian $p$-groups.

The rank evolution of block bidiagonal matrices over finite fields A random walk on the category of finite abelian $p$-groups

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-16T12:41:48.088360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:41:48.088360Z digest=sha256:6001dd0817900a5be0f2159e2e1f1740a9513ad2c7e0ec24167fe5017fc9a974

Observation e25bb541-85bc-4faa-ba1e-7a6f4d83a313 · outbound

This paper cites The distribution of sandpile groups o f random regular graphs.

The rank evolution of block bidiagonal matrices over finite fields The distribution of sandpile groups o f random regular graphs

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.082489Z

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.

source=pdf_text observed=2026-08-16T12:41:48.093268Z digest=sha256:6ab22cd7f84c4078c91e0baec7e5794fa734338424f3e0cbd522d1b58b39e209

Observation 2ef67e78-8095-4ad0-8d34-b1ba4d4eb278 · outbound

This paper cites The $2$-torsion of determinantal hypertrees is not Cohen-Lenstra.

The rank evolution of block bidiagonal matrices over finite fields The $2$-torsion of determinantal hypertrees is not Cohen-Lenstra

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-16T12:41:48.098093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:41:48.098093Z digest=sha256:c9cab8fcbb59fe4ab18ef25fc946e2e5ea5b13b5fb34f30d7bcc727f6c6fcbcc

Observation fd7c1407-d715-4fe4-b80d-ce3585f6b560 · outbound

This paper cites A phase transition for the cokernels of random band matrices over the p-adic integers.

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

Resolution
unresolved
no resolver link, observed 2026-08-16T12:41:48.102905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:41:48.102905Z digest=sha256:1f6f394a62ced1f0f441c05e133f443642eedba0e5ff00de063319fd6deec1b7

Observation be5cfc35-69a6-4c9f-83b0-8b2aca18f20d · outbound

This paper cites Universal constant order fluctuation s for the cokernels of block lower triangular matrices.

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

Resolution
verified exact
raw_fallback, observed 2026-08-16T12:41:48.565531Z

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.

source=pdf_text observed=2026-08-16T12:41:48.109084Z digest=sha256:2522db04ca4dede95a9db50c6cfdaed49191fcf072ebb74755b7f18af5e97ccb

Observation 24ab1e72-9898-4ee9-9a11-3873ffa53e1c · outbound

This paper cites Cohen–Lenstra distribution for spar se matrices with determinantal biasing.

The rank evolution of block bidiagonal matrices over finite fields Cohen–Lenstra distribution for spar se matrices with determinantal biasing

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.062892Z

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.

source=pdf_text observed=2026-08-16T12:41:48.114136Z digest=sha256:53995aa81b918d4a18cb931375fda2224c80796849280fafd68fdd22114f10a2

Observation ed2f58a5-8cd7-43a1-ab53-67a0e1108f20 · outbound

This paper cites Rank fluctuations of matrix products and a moment method for growing groups.

The rank evolution of block bidiagonal matrices over finite fields Rank fluctuations of matrix products and a moment method for growing groups

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-16T12:41:48.118860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:41:48.118860Z digest=sha256:5a2bad2e35bd0e5c64783455ee3009458e218e20bb90310b17dfa9727f5e82b5

Observation 4ba4cc64-ec6e-4514-b18f-71d3a7147323 · outbound

This paper cites Universality for coker nels of random matrix products.

The rank evolution of block bidiagonal matrices over finite fields Universality for coker nels of random matrix products

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.044845Z

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.

source=pdf_text observed=2026-08-16T12:41:48.123897Z digest=sha256:651fc55140817a1a230f1ffc74b58598b63753b5d410f9544a5cac2dd38a7f31

Observation 4a5391fb-ce66-4ac7-a0f3-cd506fa7724d · outbound

This paper cites Random integral matrices: universality of surjectivity and the cokernel.

The rank evolution of block bidiagonal matrices over finite fields Random integral matrices: universality of surjectivity and the cokernel

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.025273Z

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.

source=pdf_text observed=2026-08-16T12:41:48.129508Z digest=sha256:c5d2d07ef63b9ebf145da24ab50c0d2fb2ad7f7376e44c52b8a66ac19f269457

Observation 9e77395b-12a2-4f05-9b9a-66b991b1dd53 · outbound

This paper cites Local and global universality of random matrix cokernels.

The rank evolution of block bidiagonal matrices over finite fields Local and global universality of random matrix cokernels

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:49.006236Z

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.

source=pdf_text observed=2026-08-16T12:41:48.134144Z digest=sha256:09a6a143daaf9ea76dcfd83b4bde57a49d227512358c2c86157059efced26761

Observation b27dda7d-d2b7-4b6e-9040-cf3d4f13c137 · outbound

This paper cites On the Wegner orbital model.

The rank evolution of block bidiagonal matrices over finite fields On the Wegner orbital model

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:48.986216Z

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.

source=pdf_text observed=2026-08-16T12:41:48.138896Z digest=sha256:925d70d39f2ac69877c86d1b6f602c3ad5d40dd615b403066dd096e70e9cd1ac

Observation 15ba1dfa-a7d7-4d70-8941-95ade9e97e7e · outbound

This paper cites Eigenvector localization for random band matrices with power law band width.

The rank evolution of block bidiagonal matrices over finite fields Eigenvector localization for random band matrices with power law band width

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:48.967851Z

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.

source=pdf_text observed=2026-08-16T12:41:48.143707Z digest=sha256:d7af55cdb0a6dc964d04ae7d853f9d230ec813df1a9d27d3536374670840d76e

Observation a35d37e4-a616-456f-b9e8-b9a2fb55c7f9 · outbound

This paper cites Gaussian universality of p-adic random matrix products via corners.

The rank evolution of block bidiagonal matrices over finite fields Gaussian universality of p-adic random matrix products via corners

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-16T12:41:48.148529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:41:48.148529Z digest=sha256:daba615525ed4fe78a74f77497469cfd4ad15d68b62a77937c5051f52f9f2bfd

Observation 267ff963-4b3e-4957-a642-e5ec8aaf65c8 · outbound

This paper cites Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism.

The rank evolution of block bidiagonal matrices over finite fields Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism

Reference 45

Resolution
verified exact
local_arxiv, observed 2026-08-16T12:41:48.399246Z

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.

source=pdf_text observed=2026-08-16T12:41:48.154170Z digest=sha256:44903acfdc8c804e8e331eead41c6f9408e1f31ce3f2a50d3768c8da1557db1d

Observation 4db47f11-d238-41f8-8dbd-04917580fb2a · outbound

This paper cites Non-Archimedean GUE corners and Hecke modules.

The rank evolution of block bidiagonal matrices over finite fields Non-Archimedean GUE corners and Hecke modules

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-16T12:41:48.159212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:41:48.159212Z digest=sha256:3354a2763455b1e72427005c6afd2e49450f425090df5395e45491bf4589b1a0

Observation 0544b939-58fb-4237-8d11-b5800bb34691 · outbound

This paper cites Limits and fluctuations of p-adic rando m matrix products.

The rank evolution of block bidiagonal matrices over finite fields Limits and fluctuations of p-adic rando m matrix products

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:48.948311Z

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.

source=pdf_text observed=2026-08-16T12:41:48.164639Z digest=sha256:45dd751b9af4dd231211ea43a469aabfac7c27173be65e3c531b3c58b3c9f881

Observation d8ab37f0-8a1f-4803-87c9-fba15f46bc0a · outbound

This paper cites Hall–Littlewood polynomials, bounda ries, and p-adic random matrices.

The rank evolution of block bidiagonal matrices over finite fields Hall–Littlewood polynomials, bounda ries, and p-adic random matrices

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:48.928029Z

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.

source=pdf_text observed=2026-08-16T12:41:48.170303Z digest=sha256:20eae13dd88167a858f96fa4562aa494e3953a74723881246528fadc0a18b3c6

Observation 06c40eb7-9c2f-46c6-b4c8-4e982cfdc836 · outbound

This paper cites Reflecting Poisson walks and dynamical universality in p-adic random matrix theory.

The rank evolution of block bidiagonal matrices over finite fields Reflecting Poisson walks and dynamical universality in p-adic random matrix theory

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-16T12:41:48.175161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:41:48.175161Z digest=sha256:eeccc63231f4444e709a15da5b067c2a43eda2dd821e990fbb5d59ed8accb154

Observation c13a9c1e-214e-44c7-a1b9-d8e370983d8d · outbound

This paper cites What is a $p$-adic Dyson Brownian motion?.

The rank evolution of block bidiagonal matrices over finite fields What is a $p$-adic Dyson Brownian motion?

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-16T12:41:48.180105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:41:48.180105Z digest=sha256:165e273053f707444ed2def743f8c96ef4058abe9bf6ddbdfc91ec7e74b1509f

Observation 01986b5a-ddd6-4f5f-8e0c-a86d1c80f754 · outbound

This paper cites Local limits in p-adic random matrix th eory.

The rank evolution of block bidiagonal matrices over finite fields Local limits in p-adic random matrix th eory

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:48.907274Z

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.

source=pdf_text observed=2026-08-16T12:41:48.185994Z digest=sha256:5e695457cfd03037c2869f4b9c95cb74a165739c374c3effe6205c6e8e2ede22

Observation fb18138e-d9e7-4153-88d5-4a5be8da7c18 · outbound

This paper cites Statistics of number fields and function fields.

The rank evolution of block bidiagonal matrices over finite fields Statistics of number fields and function fields

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:48.884421Z

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.

source=pdf_text observed=2026-08-16T12:41:48.190709Z digest=sha256:7efaa2d326872d640c8e0c1faef4ffa422573fc985fc7f7ff14d4e8f2c413291

Observation d440ebd3-af79-4797-983f-3b0dcaf77e76 · outbound

This paper cites The distribution of sandpile groups of ra ndom graphs.

The rank evolution of block bidiagonal matrices over finite fields The distribution of sandpile groups of ra ndom graphs

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:48.833713Z

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.

source=pdf_text observed=2026-08-16T12:41:48.201447Z digest=sha256:acd0c140d9fbb0e4de1160a7b841728a5c49e38ada22559092a2257d247e8119

Observation 63dd951e-b1f9-42bf-9ca7-58ea36f8009b · outbound

This paper cites Random integral matrices and th e Cohen-Lenstra heuristics.

The rank evolution of block bidiagonal matrices over finite fields Random integral matrices and th e Cohen-Lenstra heuristics

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:48.813250Z

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.

source=pdf_text observed=2026-08-16T12:41:48.205969Z digest=sha256:34c8798ab264a84d8555483da4ef8dffb6820938a064604a409728ea33faf008

Observation 91c5b798-b342-4025-84eb-6225e87e90e7 · outbound

This paper cites Number field counting, class gro up heuristics, and computation.

The rank evolution of block bidiagonal matrices over finite fields Number field counting, class gro up heuristics, and computation

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:48.788103Z

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.

source=pdf_text observed=2026-08-16T12:41:48.210616Z digest=sha256:87ee2cf9b2b970eecd11a54ceaf91a011edac88f6e3e2fe60a6c64c05986e966

Observation a7bd161f-1cf1-4053-888c-9b555d69e378 · outbound

This paper cites Probability theory for random g roups arising in number theory.

The rank evolution of block bidiagonal matrices over finite fields Probability theory for random g roups arising in number theory

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:48.768677Z

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.

source=pdf_text observed=2026-08-16T12:41:48.215537Z digest=sha256:41dcf681cbed4775e57ac2feffcc1a74545078dfadf3968677179c80a221e86b

Observation 5fae0d7f-922a-4483-903c-1ae5ef68676e · outbound

This paper cites Random band matrices in the delocal ized phase, III: A veraging fluctuations.

The rank evolution of block bidiagonal matrices over finite fields Random band matrices in the delocal ized phase, III: A veraging fluctuations

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:41:48.746708Z

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.

source=pdf_text observed=2026-08-16T12:41:48.220690Z digest=sha256:09d8ae1949269e91d88e3f7e402354ee23254afd1dbf32052123cd0588e0795f

Observation fa9d3606-b74a-4d7d-b89a-d3ccfa40abaa · outbound

This paper cites an unresolved cited work.

The rank evolution of block bidiagonal matrices over finite fields Unresolved cited work

Reference 402

Resolution
parse uncertain
raw_fallback, observed 2026-08-16T12:41:48.856014Z

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.

source=pdf_text observed=2026-08-16T12:41:48.195924Z digest=sha256:e177da081414179aaa84f525025e6fdf6a37bb3cc89c3cd1277055a72017346f

Pith citing papers

Observation c01ca632-4d55-4c40-98d4-cc8f5b0dd8c8 · inbound

Persistence diagrams of random triangular matrices over finite fields cites this paper.

Persistence diagrams of random triangular matrices over finite fields The rank evolution of block bidiagonal matrices over finite fields

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-07-03T21:38:58.979467Z

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.

source=pdf_text observed=2026-06-27T00:16:52.159347Z digest=sha256:f57a329b3b8cbab0617e0ec22f63ef3bda008aec6f17e58e18496f16bc85e3c3