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Paper Citation Record · LEDGER

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

As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 2 inbound Pith citation observations for arXiv:2606.06993.

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

pith.paper-citation-record.v1
2606.06993 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T21:12:25.854244Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T02:49:15.975161Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T02:05:52.202467Z

Reference resolution

12 of 12 outbound references displayed

  • verified exact6
  • verified fuzzy0
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b559a77d-fdcf-4347-bb98-4501adb9dff8 · outbound

This paper cites Cohen and H.

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns Cohen and H

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-27T21:12:25.854244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:12:25.854244Z digest=sha256:1a7545db9e410ec740b2008261c680221c9e25dbc907f18cb082f7ab5d292770

Observation 976bbb12-b75e-45d6-ae3a-0e15b1ff807b · outbound

This paper cites Friedman and L.

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns Friedman and L

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-27T21:12:25.854244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:12:25.854244Z digest=sha256:a5a58fbcbe7c773bf7bc11bc81f22d8baafbce9b0d6c3e5e10e7284b48397c21

Observation 204c0ac1-d697-4a14-9851-4936c59f49f1 · outbound

This paper cites Kahle and A.

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns Kahle and A

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-27T21:12:25.854244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:12:25.854244Z digest=sha256:249a02cf1b9523d7f918837e5384061ee0f4f818a916f9ca03904567c45ac762

Observation 824d6571-8039-41e0-acc5-8c0100a55053 · outbound

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

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns Random $p$-adic matrices with fixed zero entries and the Cohen--Lenstra distribution

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-23T02:23:19.705686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-27T21:12:25.854244Z digest=sha256:5e37e2ae3188baf205d92e036886bd5a2dbac2e7e013bde0ee4a6c1f19504875

Observation 588f5f5c-f179-4e57-a730-5cf096129e56 · outbound

This paper cites Distribution of the cokernels of determinantal row-sparse matrices.

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns Distribution of the cokernels of determinantal row-sparse matrices

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-02T19:57:19.707926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-27T21:12:25.854244Z digest=sha256:dc8ee99219e2243d7307d6d490dcf49250b2e4e9d53ebd6105ba4926d55db1a8

Observation 80eee9f2-3dfa-43d8-beb4-30836d6f1948 · outbound

This paper cites M´ esz´ aros, Cohen–Lenstra distribution for sparse matrices with determinantal biasing, Int.

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns M´ esz´ aros, Cohen–Lenstra distribution for sparse matrices with determinantal biasing, Int

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-27T21:12:25.854244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:12:25.854244Z digest=sha256:6eb939074a88a8fa0aa7dd493c78606961f35a2baf05d32736570a1007b54d22

Observation abf1abb6-fa3c-41ad-b926-ebbf1c943489 · outbound

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

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns The $2$-torsion of determinantal hypertrees is not Cohen-Lenstra

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-07-02T19:57:19.705207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-27T21:12:25.854244Z digest=sha256:1a95b5b44f96c0b614f0c9f5ff755a67cd0dc3013d023ce456dcea4c408e225c

Observation ee3960bc-4721-4af0-a9c9-8eaaf435aabc · outbound

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

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns A phase transition for the cokernels of random band matrices over the p-adic integers

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-02T19:57:19.702232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-27T21:12:25.854244Z digest=sha256:7261496eecc4b4acf8b661e1cddfa120930019bede7fda43c6aca077982d3224

Observation f0ac2785-c831-4980-a2ef-ad3640ff9ad1 · outbound

This paper cites The homology torsion growth of determinantal hypertrees.

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns The homology torsion growth of determinantal hypertrees

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-07-02T19:57:19.698344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-27T21:12:25.854244Z digest=sha256:4c7d33ee5c596eccd2584114d5f69d1db319e393287cef8481783689b39103cb

Observation 67def8b5-bcda-4b4e-a45c-df3258d24682 · outbound

This paper cites The moment problem for random objects in a category.

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns The moment problem for random objects in a category

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-02T19:57:19.695747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-27T21:12:25.854244Z digest=sha256:7152bfa56b4bd1546eae4035a48de54a307ac150976abd5c93f453958258f458

Observation 074852e7-92af-4d12-b70c-3469d7a5c797 · outbound

This paper cites an unresolved cited work.

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-27T21:12:25.854244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:12:25.854244Z digest=sha256:70f553c5b5840fdf55f63a52280a65966ce11dbfc069cb9a433f62fea473a85d

Observation 7b49372f-0c93-4932-bfe7-524ae24e71e6 · outbound

This paper cites an unresolved cited work.

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-27T21:12:25.854244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:12:25.854244Z digest=sha256:61332928af95418ee356a436d3779cd8b5eb6a4ce576baf108901202e39185de

Pith citing papers

Observation bcba17e9-6dc8-4a94-baad-90436c8682d1 · inbound

Universality for cokernels of partially random integral matrices cites this paper.

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

Resolution
verified exact
local_arxiv, observed 2026-07-09T02:05:52.203725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-07-09T02:02:47.452167Z digest=sha256:1e814eba3da9ce66552ba964fdd18afd2793984190dc72cd5143565b117bb37a

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

Universality for cokernels of partially random integral matrices cites this paper.

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

Resolution
unresolved
no resolver link, observed 2026-08-04T02:49:15.975161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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