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Paper Citation Record · LEDGER

Counting matrices over finite rank multiplicative groups

As of 9 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2502.07100.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2502.07100 v1

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T13:59:06.846746Z

measured 54 of 54 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

54 of 54 outbound references displayed

  • verified exact3
  • verified fuzzy35
  • unresolved16
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a335f74c-1ca3-4c3b-bb5f-993fd98132fe · outbound

This paper cites Abrams, Z.

Counting matrices over finite rank multiplicative groups Abrams, Z

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 88d632be-6932-4fca-908b-309c591bbbb9 · outbound

This paper cites Afifurrahman, ‘Some counting questions for matrix products ’, Bull.

Counting matrices over finite rank multiplicative groups Afifurrahman, ‘Some counting questions for matrix products ’, Bull

Reference 2

Resolution
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raw_fallback, observed 2026-08-08T13:59:07.616820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ed10cfb3-d15c-4f5e-bdbf-0b99bf78d9a5 · outbound

This paper cites A uniform formula on the number of integer matrices with given determinant and height.

Counting matrices over finite rank multiplicative groups A uniform formula on the number of integer matrices with given determinant and height

Reference 3

Resolution
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no resolver link, observed 2026-08-08T13:59:06.656297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7a4e30aa-6ef7-428b-bf28-dc74a0f98861 · outbound

This paper cites Afifurrahman, V.

Counting matrices over finite rank multiplicative groups Afifurrahman, V

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a057efe2-cabf-48a8-8701-73cdaafbaf55 · outbound

This paper cites Ahmadi and I.

Counting matrices over finite rank multiplicative groups Ahmadi and I

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.595373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation dd886f76-b126-45b0-9e91-7f4dd7fb54a9 · outbound

This paper cites Alon and J.

Counting matrices over finite rank multiplicative groups Alon and J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.584691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 95ec1e78-9700-401c-a730-16fb9d7b12c6 · outbound

This paper cites Amoroso, and E.

Counting matrices over finite rank multiplicative groups Amoroso, and E

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.574349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 06a2f357-ba04-4b79-9e3a-ac2e31d8dcef · outbound

This paper cites an unresolved cited work.

Counting matrices over finite rank multiplicative groups Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-08T13:59:07.564215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 8c511d7f-ca08-4fe5-a50f-53a2ce42c1b3 · outbound

This paper cites Blomer and J.

Counting matrices over finite rank multiplicative groups Blomer and J

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.681757Z digest=sha256:222806011c7432598bc6489f7f6946e9f8dce3bfe181a61f2b54bafb8fddb5fa

Observation 3ad0037d-47ee-4c97-9397-f3cfe8a8dbd7 · outbound

This paper cites Blomer and C.

Counting matrices over finite rank multiplicative groups Blomer and C

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.543857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 3acbbf73-bf71-4008-9acd-cdd56848a589 · outbound

This paper cites Bourgain, M.

Counting matrices over finite rank multiplicative groups Bourgain, M

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 33284dbb-4752-492a-bf28-b8618e4e1bb2 · outbound

This paper cites Bourgain, V.

Counting matrices over finite rank multiplicative groups Bourgain, V

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.693268Z digest=sha256:d177cd20d0cec2c87c0c0ef3e76ec47d8fe5c77ece85ee5bc363dbb2c5d93fa6

Observation 39387925-a69a-438f-94b3-e26ab0cb5ee2 · outbound

This paper cites an unresolved cited work.

Counting matrices over finite rank multiplicative groups Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-08T13:59:07.513181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 4875f5a7-21af-4b78-9304-e4aca1011448 · outbound

This paper cites Browning, W.

Counting matrices over finite rank multiplicative groups Browning, W

Reference 14

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation b0551603-7ecf-4176-91de-2ca20911f7ec · outbound

This paper cites Bulinski, A.

Counting matrices over finite rank multiplicative groups Bulinski, A

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f6c761eb-7de5-4f01-a099-8bd2cf7d8a0b · outbound

This paper cites Bulinski and I.

Counting matrices over finite rank multiplicative groups Bulinski and I

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation b94ff428-dcac-43b1-8d4e-ed49e7ec65b3 · outbound

This paper cites Campos, M.

Counting matrices over finite rank multiplicative groups Campos, M

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7eb94177-d63d-4a0e-8d8c-6993e2232698 · outbound

This paper cites an unresolved cited work.

Counting matrices over finite rank multiplicative groups Unresolved cited work

Reference 18

Resolution
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raw_fallback, observed 2026-08-08T13:59:07.472231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 420c0e7b-1613-4ac1-9d97-0ca491192105 · outbound

This paper cites Eberhard, ‘The characteristic polynomial of a random matrix ’, Combina- torica, 42 (2022), 491–527.

Counting matrices over finite rank multiplicative groups Eberhard, ‘The characteristic polynomial of a random matrix ’, Combina- torica, 42 (2022), 491–527

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation beaa1660-f8d1-4652-9d05-e34ed44d4aba · outbound

This paper cites Effective equidistribution of primitive rational points on expanding horospheres.

Counting matrices over finite rank multiplicative groups Effective equidistribution of primitive rational points on expanding horospheres

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-08T13:59:06.722774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T13:59:06.722774Z digest=sha256:4cffc1d2216a444ed098bc04a38cd6a65afc5054fae2d5e2346474ea76c03ba5

Observation aee74765-9186-4253-bb38-f70cf48e2408 · outbound

This paper cites Eskin and Y.

Counting matrices over finite rank multiplicative groups Eskin and Y

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 35b0490e-834d-453e-a390-b214e49eebab · outbound

This paper cites Eskin, S.

Counting matrices over finite rank multiplicative groups Eskin, S

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation baeb8f99-4c0b-438d-9c2a-75ead013b1d0 · outbound

This paper cites an unresolved cited work.

Counting matrices over finite rank multiplicative groups Unresolved cited work

Reference 23

Resolution
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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 144cacb9-dce5-4612-a403-844e5190e3aa · outbound

This paper cites Feit and N.

Counting matrices over finite rank multiplicative groups Feit and N

Reference 24

Resolution
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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 41102f17-9455-47ec-9182-98fc07bf3743 · outbound

This paper cites Ferber, K.

Counting matrices over finite rank multiplicative groups Ferber, K

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.411415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 23f77fb8-9d26-44b6-95dd-d61ee5361247 · outbound

This paper cites Ferber, V.

Counting matrices over finite rank multiplicative groups Ferber, V

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.401234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation e2a007ef-8c78-4723-a70d-f04ca4296dd2 · outbound

This paper cites Fulman, ‘Random matrices theory over finite fields’, Bull.

Counting matrices over finite rank multiplicative groups Fulman, ‘Random matrices theory over finite fields’, Bull

Reference 27

Resolution
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raw_fallback, observed 2026-08-08T13:59:07.389263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 14635930-056a-4900-a73a-609c5491a69d · outbound

This paper cites Fulman, and L.

Counting matrices over finite rank multiplicative groups Fulman, and L

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.378905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 9abcefa5-df79-4d31-93a4-3c6fdcce9ec1 · outbound

This paper cites Gerstenhaber, ‘On the number of nilpotent matrices with coe fficients in a finite field’, Illinois J.

Counting matrices over finite rank multiplicative groups Gerstenhaber, ‘On the number of nilpotent matrices with coe fficients in a finite field’, Illinois J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.368551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation aacb44c2-dcae-432f-bac9-6682c29955c8 · outbound

This paper cites Gorodnik, A.

Counting matrices over finite rank multiplicative groups Gorodnik, A

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.357974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a86d868e-3e19-44aa-91d5-3da609a3164f · outbound

This paper cites Integer matrices with a given characteristic polynomial and multiplicative dependence of matrices.

Counting matrices over finite rank multiplicative groups Integer matrices with a given characteristic polynomial and multiplicative dependence of matrices

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-08T13:59:06.762704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T13:59:06.762704Z digest=sha256:57fc027c98adca95d534c876e3d4c9a2d0b839faf09b3ebd4589f46ef3387d03

Observation 8d17f7a4-7d8e-48f5-9b0d-12caac649ff6 · outbound

This paper cites an unresolved cited work.

Counting matrices over finite rank multiplicative groups Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-08T13:59:07.347843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f72723b3-8e64-4b81-a8c4-7a8caaa7606e · outbound

This paper cites an unresolved cited work.

Counting matrices over finite rank multiplicative groups Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-08T13:59:07.337505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.770004Z digest=sha256:e46633422f698efb086d61e2d63f41e2182bdfa175c7cba9e79fdf14fd55ca4b

Observation 0ed2a7ef-55d7-4710-b2ad-a9f2ed9439ef · outbound

This paper cites an unresolved cited work.

Counting matrices over finite rank multiplicative groups Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-08T13:59:07.327227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.773365Z digest=sha256:206b36b3031509fd13354ec3e936f897cefaea7c70009f7b7bb037be334e9f6d

Observation ed37a11e-0699-41c3-9081-c54fe5445c0e · outbound

This paper cites an unresolved cited work.

Counting matrices over finite rank multiplicative groups Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-08T13:59:07.316883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.776902Z digest=sha256:215ad72d7c48a54eeb3e59bc857697ba213aea8869cd548eb1bd3c22c205f652

Observation 37d2422a-6d33-4421-87d9-92586de78c5a · outbound

This paper cites Koplewitz, ‘The corank of a rectangular random integer matr ix’,Lin.

Counting matrices over finite rank multiplicative groups Koplewitz, ‘The corank of a rectangular random integer matr ix’,Lin

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.305665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.780696Z digest=sha256:55311ef1944a35c5f6ff249e7448ab2887a53d97845164c110272077ecd39b25

Observation 482d25c6-1568-4b5f-b59f-259939e95a42 · outbound

This paper cites Kwan and L.

Counting matrices over finite rank multiplicative groups Kwan and L

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.295275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.784040Z digest=sha256:59cfb2b5d54cea11f529b20fe7a5df67bceaa3d829a7c63fef9228acd6ef7763

Observation 280e46ca-829c-44ec-abdf-3500e02f77e9 · outbound

This paper cites Number of characteristic polynomials of matrices with bounded height.

Counting matrices over finite rank multiplicative groups Number of characteristic polynomials of matrices with bounded height

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-08T13:59:07.029864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.787602Z digest=sha256:064d74d33388fca3e5708df605ea46079958e62021d642072fad0ea68e2e4253

Observation 21245764-939e-4b5b-ae0a-eb3be7058396 · outbound

This paper cites Mohammadi, A.

Counting matrices over finite rank multiplicative groups Mohammadi, A

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.284827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.791676Z digest=sha256:ecb943f216600c51f2a9d7d9cd9cb7f696bb2308cb8f1bad51a20f37d247186c

Observation e508233b-e71b-44dd-b287-7866de6a5769 · outbound

This paper cites On commuting pairs in arbitrary sets of 2x2 matrices.

Counting matrices over finite rank multiplicative groups On commuting pairs in arbitrary sets of 2x2 matrices

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-08T13:59:06.795258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T13:59:06.795258Z digest=sha256:53af2d75196255b130e5115357955444e9600ad0d316c6cdcbd477cb8640d192

Observation 9373d9e3-64ac-4ae3-886d-44a6b5b6eb6b · outbound

This paper cites an unresolved cited work.

Counting matrices over finite rank multiplicative groups Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-08T13:59:07.274970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.799261Z digest=sha256:af4c175b1e4fad22e39090c8b87d5560c930937be5e3d9bf660c5bff8b9a6310

Observation 11c9df4a-026d-4243-b566-4326a00c9bdd · outbound

This paper cites an unresolved cited work.

Counting matrices over finite rank multiplicative groups Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-08T13:59:07.264701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.802861Z digest=sha256:723897bbbae1d37cf6c1e5effeb3ac9288998bfaa4d946c2155aa3e065843fa2

Observation 238834ea-e0a9-4603-8103-c3c3338fd13c · outbound

This paper cites Ostafe and I.

Counting matrices over finite rank multiplicative groups Ostafe and I

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-08T13:59:06.806376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T13:59:06.806376Z digest=sha256:a238206fa8e7c2eb7f38d66117093e84582149b3e020b8acda0040b6c245ae4a

Observation 9505db65-02fb-467a-8129-2596d43410ba · outbound

This paper cites Reiner, ‘On the number of matrices with given characteristic p olynomial’, Illinois J.

Counting matrices over finite rank multiplicative groups Reiner, ‘On the number of matrices with given characteristic p olynomial’, Illinois J

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.253665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.810154Z digest=sha256:a31667ae6ccd29fe9076d747914eea69d9aaa94728f14dd4af30a58e39203ad7

Observation 6b846758-4451-4c5f-9234-11d5141f3203 · outbound

This paper cites Sanna, ‘On the distribution of the entries of a fixed-rank ran dom matrix over a finite field’, Finite Fields Appl.

Counting matrices over finite rank multiplicative groups Sanna, ‘On the distribution of the entries of a fixed-rank ran dom matrix over a finite field’, Finite Fields Appl

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.241653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.813720Z digest=sha256:82d0d4d7ccd0ea65711a2e41db5c609d889f0745218e41278eca2c9e9f5061f3

Observation bb11e2ff-a0fa-4082-9115-b46084f7e4c9 · outbound

This paper cites Schmidt, ‘The subspace theorem in diophantine approximation s,” Compos.

Counting matrices over finite rank multiplicative groups Schmidt, ‘The subspace theorem in diophantine approximation s,” Compos

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.230310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.817289Z digest=sha256:09e49337839faf04259ad3a67d7904ad337a7ce32f53c04812e054a6c864e684

Observation 7d06be15-381d-46c4-8d2f-77e61e6e3262 · outbound

This paper cites Shah, ‘Counting integral matrices with a given characteristic polynomial’, Sankhya: The Indian J.

Counting matrices over finite rank multiplicative groups Shah, ‘Counting integral matrices with a given characteristic polynomial’, Sankhya: The Indian J

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.219074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.821000Z digest=sha256:ac7672a643c60e20eff2e3874913c620068067d950534f7658ca8dd64a97062c

Observation 58dd9823-7f79-4321-8772-106bede5c26d · outbound

This paper cites Shapira and C.

Counting matrices over finite rank multiplicative groups Shapira and C

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.207850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.825085Z digest=sha256:d6d012446f632d4713c946e332b37ec7a9b028f7f16c755f6622257ec27e67c1

Observation c31adddf-6749-45a2-84d1-2c2a3e91d143 · outbound

This paper cites On the determinants of matrices with elements from arbitrary sets.

Counting matrices over finite rank multiplicative groups On the determinants of matrices with elements from arbitrary sets

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-08T13:59:06.883475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.828723Z digest=sha256:9190d7f8b9335a87d398ec25e970af893498cf43040332039f7e4d2e405ef046

Observation ee479e20-6b94-4e17-b7f9-d1d1e89ad2b8 · outbound

This paper cites an unresolved cited work.

Counting matrices over finite rank multiplicative groups Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-08T13:59:07.195897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.832391Z digest=sha256:fdf6233a31117d6136d63e778648d2922dcc725fcee6494b3f2ee509b11e41bb

Observation 7a222c58-e804-4346-92a8-656bb24d7ea3 · outbound

This paper cites Tao and V.

Counting matrices over finite rank multiplicative groups Tao and V

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.184250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.836078Z digest=sha256:96f08784a15d567fa122e3ca5d302cce0bc31b7397fb3a6c721ae4e1d7c24f08

Observation 933599b0-26d0-4b46-8c80-106547649eb6 · outbound

This paper cites Vu, ‘Recent progress in combinatorial random matrix theory ’, Probability Surveys, 18 (2021), 179–200.

Counting matrices over finite rank multiplicative groups Vu, ‘Recent progress in combinatorial random matrix theory ’, Probability Surveys, 18 (2021), 179–200

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.173294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.839844Z digest=sha256:0f0c29b2f4b433e5390025b7eae071f9bfee23503fb000e26f2e2bd13d9878a7

Observation 1dd15604-f1cc-43a7-96b1-41d9763fbc10 · outbound

This paper cites Wei and F.

Counting matrices over finite rank multiplicative groups Wei and F

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.162245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.843341Z digest=sha256:543234028202a52d06500c3018127a73bfcbd1de68868d781b018835dc77a9fe

Observation db510976-3471-46ca-af17-d3fb5251db36 · outbound

This paper cites cn´2 “ 0, A´µpnq, c n´1 “ 0 and cn´2 ‰ 0, A´νpnq, c n´1 ‰ 0, where βpnq is given by ( B.1) and furthermore λpnq “ $ ’ ’ ’ ’ ’ & ’ ’ ’ ’ ’ % 1{2, n “ 5, 1, n.

Counting matrices over finite rank multiplicative groups cn´2 “ 0, A´µpnq, c n´1 “ 0 and cn´2 ‰ 0, A´νpnq, c n´1 ‰ 0, where βpnq is given by ( B.1) and furthermore λpnq “ $ ’ ’ ’ ’ ’ & ’ ’ ’ ’ ’ % 1{2, n “ 5, 1, n

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T13:59:07.150798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-08T13:59:06.846746Z digest=sha256:12306c5f573c5478fe0c50e4b844915dee773a51051b13eb4dc893fe2e71d42a

Pith citing papers

No inbound Pith citation observations are available.