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Paper Citation Record · LEDGER

Universality for cokernels of partially random integral matrices

As of 20 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.06952.

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

pith.paper-citation-record.v1
2607.06952 v2

Coverage vector

measured 19 of 19 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T02:49:17.495227Z

measured 19 of 19 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

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Reference resolution

19 of 19 outbound references displayed

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External citation measurements

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Outbound references

Observation 3b22503e-fa36-4c54-a794-c5641c498284 · outbound

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

Universality for cokernels of partially random integral matrices The distribution of the cokernel of a polynomial evaluated at a random integral matrix

Reference 1

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source=pdf_text observed=2026-08-04T02:49:15.183565Z digest=sha256:a7d4624f0fa0c70e2352101d1e0fddf35c3fed1a81f8345cd118d8bd7670bf95

Observation a67a43ee-8fa9-46f3-bf0f-f173e21b270a · outbound

This paper cites Lenstra, Jr.

Universality for cokernels of partially random integral matrices Lenstra, Jr

Reference 2

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source=pdf_text observed=2026-08-04T02:49:15.302201Z digest=sha256:7cc85d97b520c4b27eedbc8811c3253a59c7d5cca5d29264e64d606ba1fc778d

Observation a9c5d9e8-bb21-42ee-9e22-a33bb93da10c · outbound

This paper cites Cambridge University Press, Cambridge, fifth edition, 2019.

Universality for cokernels of partially random integral matrices Cambridge University Press, Cambridge, fifth edition, 2019

Reference 3

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source=pdf_text observed=2026-08-04T02:49:15.418680Z digest=sha256:673f62a784064de04ca0cae62a4be02ab09555f3b1a0eced281d87bcb17f978c

Observation ca18e2ec-9f5a-42b6-b927-474691282cbb · outbound

This paper cites Washington.

Universality for cokernels of partially random integral matrices Washington

Reference 4

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source=pdf_text observed=2026-08-04T02:49:15.551540Z digest=sha256:aa6da81c174a473d6bc7da19f081b7d62f29d67ad001aa4aa1a5d4924cd38867

Observation 483e95d9-33cf-41c2-8afe-019a27c6894d · outbound

This paper cites Random matrices, the Cohen–Lenstra heuristics, and roots of unity.Algebra Number Theory, 9(1):149–171, 2015.

Universality for cokernels of partially random integral matrices Random matrices, the Cohen–Lenstra heuristics, and roots of unity.Algebra Number Theory, 9(1):149–171, 2015

Reference 5

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source=pdf_text observed=2026-08-04T02:49:15.713003Z digest=sha256:5a7664a6317bc765a21e9a73389d9d6a0f9fd5b8407a6ae6f0ebc7b2f5ad7751

Observation e5271ef7-1e16-4b49-93f6-08105da5e616 · outbound

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

Universality for cokernels of partially random integral matrices Time-inhomogeneous random walks on finite groups and cokernels of random integer block matrices

Reference 6

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source=pdf_text observed=2026-08-04T02:49:15.851353Z digest=sha256:8a0ae4c546308653ebd9689f33679e35205a28998f049bcb236cdd8f952d018e

Observation 99434eb2-84e9-47fc-a939-f05268813e0f · outbound

This paper cites A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns.

Universality for cokernels of partially random integral matrices A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns

Reference 7

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source=pdf_text observed=2026-08-04T02:49:15.975161Z digest=sha256:6b15c9496535de95d8de40b5e8164615efed56285110212a02f6b2277d7deb74

Observation 26cbdbe3-3d48-4e37-964d-b442a7c251b1 · outbound

This paper cites Sharp threshold for universality of cokernels of classical random matrix models over thep-adic integers, 2026.

Universality for cokernels of partially random integral matrices Sharp threshold for universality of cokernels of classical random matrix models over thep-adic integers, 2026

Reference 8

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source=pdf_text observed=2026-08-04T02:49:16.086717Z digest=sha256:6afd981955b8e546faa60cc91de64437c66a0c01ef73023d571cf9503c21743f

Observation 370756f7-807b-4065-a0d2-d7c9749fdf7c · outbound

This paper cites Randomp-adic matrices with fixed zero entries and the Cohen–Lenstra distribution.

Universality for cokernels of partially random integral matrices Randomp-adic matrices with fixed zero entries and the Cohen–Lenstra distribution

Reference 9

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source=pdf_text observed=2026-08-04T02:49:16.198847Z digest=sha256:beebfdfd3a0e0e940a518a621d44dae523b09880617cb91a6eef1ad49eadcd6d

Observation 1e641f23-539e-4265-b77f-7271afd9dcc4 · outbound

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

Universality for cokernels of partially random integral matrices The distribution of sandpile groups of random regular graphs.Trans

Reference 10

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source=pdf_text observed=2026-08-04T02:49:16.345028Z digest=sha256:47e4821230444e9e52456657bc1fd892f62f04b90454d2caa9733ad299d3dbab

Observation f77ccf6c-5944-49b4-b7e2-d038377c4911 · outbound

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

Universality for cokernels of partially random integral matrices A phase transition for the cokernels of random band matrices over the p-adic integers

Reference 11

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source=pdf_text observed=2026-08-04T02:49:16.437162Z digest=sha256:d8fb2686eb0d238c0d71b02e8f2cbdd48db75cb16f1f311a4c43f85a8a59cf6c

Observation 62033054-4c1a-4f36-ba21-844abb907481 · outbound

This paper cites Nguyen and Roger Van Peski.

Universality for cokernels of partially random integral matrices Nguyen and Roger Van Peski

Reference 12

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source=pdf_text observed=2026-08-04T02:49:16.577058Z digest=sha256:676ceacda61da416f76201fb2dd620c2276e475467749ce81391af3d01ef9310

Observation aea1c9b0-446b-4df7-a517-f63ad7d264e9 · outbound

This paper cites Nguyen and Melanie Matchett Wood.

Universality for cokernels of partially random integral matrices Nguyen and Melanie Matchett Wood

Reference 13

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source=pdf_text observed=2026-08-04T02:49:16.682096Z digest=sha256:d6c9d4ae683939db654b7339b619340bae291e7c21c8e9e322a09dae1883a3f9

Observation dac3f52e-1cba-4db9-84cc-3a6d38d1ab9a · outbound

This paper cites Proquest LLC, 2026.

Universality for cokernels of partially random integral matrices Proquest LLC, 2026

Reference 14

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source=pdf_text observed=2026-08-04T02:49:16.738901Z digest=sha256:e47197d156efc6c6e1b865856e22b7aaf0a5a2efaa68efc83cd9a025bf5abd0b

Observation f2ec8de0-a5c7-4622-a946-22d259fcf4b7 · outbound

This paper cites Distribution of Sandpile groups of random bipartite graphs.

Universality for cokernels of partially random integral matrices Distribution of Sandpile groups of random bipartite graphs

Reference 15

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source=pdf_text observed=2026-08-04T02:49:16.962989Z digest=sha256:8ebf0ee59953cc199d6822e086366120081ba5141cdca04ea8d3168f04307d8c

Observation 471ec5e7-6de1-4851-ace6-db9953f1f2a0 · outbound

This paper cites Distribution of Sandpile groups of random directed bipartite graphs.

Universality for cokernels of partially random integral matrices Distribution of Sandpile groups of random directed bipartite graphs

Reference 16

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source=pdf_text observed=2026-08-04T02:49:17.136602Z digest=sha256:b058d0274c46f343f87321017433fb4ceec04193318533503d630e8a070e7931

Observation 729a05f7-7579-47f3-b1a4-be6c034e8a49 · outbound

This paper cites The distribution of sandpile groups of random graphs.J.

Universality for cokernels of partially random integral matrices The distribution of sandpile groups of random graphs.J

Reference 17

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source=pdf_text observed=2026-08-04T02:49:17.271292Z digest=sha256:1ac525be8f654273c9ca26e7e4cd2becc783aac40def4f05e3eac111cc9a82c7

Observation dfeae356-6455-49b1-b999-57ca478e6301 · outbound

This paper cites Random integral matrices and the Cohen–Lenstra heuristics.Amer.

Universality for cokernels of partially random integral matrices Random integral matrices and the Cohen–Lenstra heuristics.Amer

Reference 18

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Observation 4d954327-92e2-419e-ad3d-c2ab8bf45ad7 · outbound

This paper cites Probability theory for random groups arising in number theory.

Universality for cokernels of partially random integral matrices Probability theory for random groups arising in number theory

Reference 19

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Pith citing papers

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