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Paper Citation Record · LEDGER

Galois groups of random integer matrices

As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2506.06463.

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

pith.paper-citation-record.v1
2506.06463 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:13:02.301312Z

measured 31 of 31 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

31 of 31 outbound references displayed

  • verified exact5
  • verified fuzzy17
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e1151f62-62ec-4d3e-bd8d-0d1069f37353 · outbound

This paper cites Anderson, Adam Bertelli, and Evan M.

Galois groups of random integer matrices Anderson, Adam Bertelli, and Evan M

Reference 1

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verified exact
raw_fallback, observed 2026-08-07T06:13:02.740339Z

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=arxiv_source observed=2026-08-07T06:13:02.133121Z digest=sha256:f81f9bdb44e273368c806f6cf0d0962d87a1f69076515bfefe1e03656ddb546e

Observation 992d7ea3-53f5-4c37-8764-2b16ad76a109 · outbound

This paper cites Anderson, Ayla Gafni, Robert J.

Galois groups of random integer matrices Anderson, Ayla Gafni, Robert J

Reference 2

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.

source=arxiv_source observed=2026-08-07T06:13:02.139770Z digest=sha256:82b7a98b40ee25ef4a295eb9f33519701a85d571ceea0fe6d31de03a6f021752

Observation dda0d4ba-fff4-4abb-ab05-3955a3359ab2 · outbound

This paper cites Irreducibility of the characteristic polynomials of random tridiagonal matrices.

Galois groups of random integer matrices Irreducibility of the characteristic polynomials of random tridiagonal matrices

Reference 3

Resolution
verified exact
raw_fallback, observed 2026-08-07T06:13:02.648966Z

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=arxiv_source observed=2026-08-07T06:13:02.146460Z digest=sha256:5c4d076c3b4f1a3ba8896872c4320e151adfdc7a6265d294771fdf5448c96a08

Observation a242088f-114a-42b6-9829-58eb419eef62 · outbound

This paper cites A proof of van der W aerden's conjecture on random G alois groups of polynomials.

Galois groups of random integer matrices A proof of van der W aerden's conjecture on random G alois groups of polynomials

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:13:03.127385Z

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=arxiv_source observed=2026-08-07T06:13:02.152123Z digest=sha256:313a35de5428dce3de969ee87e26701723f0f09e3a88ad2bd36d5e19b87fb788

Observation 4898797c-8375-48e2-a64e-dd2f24ff2e4d · outbound

This paper cites Galois groups of random integer polynomials and van der W aerden's conjecture.

Galois groups of random integer matrices Galois groups of random integer polynomials and van der W aerden's conjecture

Reference 5

Resolution
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raw_fallback, observed 2026-08-07T06:13:03.108943Z

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=arxiv_source observed=2026-08-07T06:13:02.158225Z digest=sha256:0c66b862cd2d17f76fb9f5c56b0db77423e0b327fe7a5f2018bbb0e9364c7d6e

Observation 19122dcc-551e-4e22-bfb3-b78b996b6927 · outbound

This paper cites Hyperbolic lattice point counting in unbounded rank.

Galois groups of random integer matrices Hyperbolic lattice point counting in unbounded rank

Reference 6

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.

source=arxiv_source observed=2026-08-07T06:13:02.164170Z digest=sha256:3ac1cfd6a964ce575e8b475e924684a180c71b0a152fdb62f6d64ebe6c22c178

Observation 4f686cb0-1849-4844-a7b2-9c26d231f6d4 · outbound

This paper cites Irreducible polynomials of bounded height.

Galois groups of random integer matrices Irreducible polynomials of bounded height

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:13:03.074419Z

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=arxiv_source observed=2026-08-07T06:13:02.172270Z digest=sha256:7704ea845d1979a2c8d37a9d9c24a2c83b797a750c5b74b89bd9464036c6dbad

Observation 27af57f0-72f7-481d-9b79-edd778570b37 · outbound

This paper cites Irreducibility of random polynomials: general measures.

Galois groups of random integer matrices Irreducibility of random polynomials: general measures

Reference 8

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.

source=arxiv_source observed=2026-08-07T06:13:02.178125Z digest=sha256:acfabe4ad1fd4056c69e14c05fa1aa18b4a2ca113880cb4263c63649c1964258

Observation 13df577e-446b-4957-b9dc-3933383e8a42 · outbound

This paper cites Varj\' u.

Galois groups of random integer matrices Varj\' u

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:13:03.041631Z

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=arxiv_source observed=2026-08-07T06:13:02.183556Z digest=sha256:05cdb488712a0de19c10115805cef4a0a9a8a41257396e4c61c7f718d279f02f

Observation 1cbc75a5-a2a6-4185-ba26-0682a148ca11 · outbound

This paper cites Enumerative G alois theory for cubics and quartics.

Galois groups of random integer matrices Enumerative G alois theory for cubics and quartics

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:13:03.025438Z

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=arxiv_source observed=2026-08-07T06:13:02.188510Z digest=sha256:b772b3d8d21675748257d5d397a5b7381c5bee942605e346706fae666bc948a6

Observation faf083a0-c47f-4e39-96a1-f70dbcf76043 · outbound

This paper cites an unresolved cited work.

Galois groups of random integer matrices Unresolved cited work

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.

source=arxiv_source observed=2026-08-07T06:13:02.193662Z digest=sha256:6abcc605699a21186f471d7ff46794061afaba0acdd89148abe5ba9911dfaf4e

Observation 44a4297f-a90c-4abc-b7be-b3e3408db714 · outbound

This paper cites The characteristic polynomial of a random matrix.

Galois groups of random integer matrices The characteristic polynomial of a random matrix

Reference 12

Resolution
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raw_fallback, observed 2026-08-07T06:13:02.985567Z

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=arxiv_source observed=2026-08-07T06:13:02.199984Z digest=sha256:2e512dbb6ffec21ca4755151dbda70648ffc5fe218d1ba039b974019b73a0af1

Observation 38ca5f64-6bff-45ae-a304-fb43644511d5 · outbound

This paper cites Unipotent flows and counting lattice points on homogeneous varieties.

Galois groups of random integer matrices Unipotent flows and counting lattice points on homogeneous varieties

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:13:02.965633Z

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=arxiv_source observed=2026-08-07T06:13:02.205488Z digest=sha256:01caa4ce683763569ae89fd8a782ae2f4bdd7304f57dd6f817b0272a512301c3

Observation 5660dcce-3254-41af-b777-9824c261f68f · outbound

This paper cites Random symmetric matrices: rank distribution and irreducibility of the characteristic polynomial.

Galois groups of random integer matrices Random symmetric matrices: rank distribution and irreducibility of the characteristic polynomial

Reference 14

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.

source=arxiv_source observed=2026-08-07T06:13:02.210770Z digest=sha256:dda4d9733b5e9b6b8ac8eff8f9c8d61868cd5278c02fcb7bd7526ff1a576e95b

Observation 1c356e97-6b97-4aac-9afb-7a135af4a6aa · outbound

This paper cites an unresolved cited work.

Galois groups of random integer matrices Unresolved cited work

Reference 15

Resolution
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raw_fallback, observed 2026-08-07T06:13:02.931951Z

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=arxiv_source observed=2026-08-07T06:13:02.215922Z digest=sha256:07e7902f8ff4cb67e2c0a429f5621626a0e6ed9a7d18875474e782f4e0512bd9

Observation 3fd2e30b-8929-4836-ad14-0d0678e01e61 · outbound

This paper cites On the number of nilpotent matrices with coefficients in a finite field.

Galois groups of random integer matrices On the number of nilpotent matrices with coefficients in a finite field

Reference 16

Resolution
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raw_fallback, observed 2026-08-07T06:13:02.915925Z

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=arxiv_source observed=2026-08-07T06:13:02.221709Z digest=sha256:1cbde4e0c5251d51b3449bb7a3208579f2a2ae6afbf800bf7e5de7d447080948

Observation a664ef21-fd8d-4755-8067-c445bdd9a290 · outbound

This paper cites Large value estimates in number theory, harmonic analysis, and computer science.

Galois groups of random integer matrices Large value estimates in number theory, harmonic analysis, and computer science

Reference 17

Resolution
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no resolver link, observed 2026-08-07T06:13:02.226753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T06:13:02.226753Z digest=sha256:f538c21f39d5a16ad86cc771ba112ef79610ad9c52f32dee1656bd51c904cf9e

Observation 6ea2c7fc-5f86-4ed7-99a8-0de88c6887c5 · outbound

This paper cites Counting (skew-)reciprocal Littlewood polynomials with square discriminant.

Galois groups of random integer matrices Counting (skew-)reciprocal Littlewood polynomials with square discriminant

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T06:13:02.232568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T06:13:02.232568Z digest=sha256:52bb3894ed59cebe056e4b286396533f2fbb39d005cad8b1083ec085e670d0dc

Observation ba4ccdd6-819f-4783-aaeb-922baa655395 · outbound

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

Galois groups of random integer matrices Integer matrices with a given characteristic polynomial and multiplicative dependence of matrices

Reference 19

Resolution
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local_arxiv, observed 2026-08-07T06:13:02.516868Z

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=arxiv_source observed=2026-08-07T06:13:02.238028Z digest=sha256:934224f9a5b38016e0c80dba142bf70798a0988fe93544045afdef1fb3a8027b

Observation 2548594a-f046-4939-9928-62754bf6567f · outbound

This paper cites an unresolved cited work.

Galois groups of random integer matrices Unresolved cited work

Reference 20

Resolution
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raw_fallback, observed 2026-08-07T06:13:02.899272Z

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=arxiv_source observed=2026-08-07T06:13:02.243170Z digest=sha256:70ae1e195c66829bbd18112679e9a17f629bc8b591a49ff13bdbea2ede6f63ef

Observation 576f4253-a223-40b0-8354-6e6001909241 · outbound

This paper cites Zum H ilbertschen I rreduzibilit\" a tssatz.

Galois groups of random integer matrices Zum H ilbertschen I rreduzibilit\" a tssatz

Reference 21

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.

source=arxiv_source observed=2026-08-07T06:13:02.248140Z digest=sha256:e4a5bd2fcd0b599417df60ea8afe6a4b76030688c27be7663eaafd473ba396cd

Observation ad753a40-c179-4fdf-bfd2-19a671b16883 · outbound

This paper cites Lemke Oliver and Frank Thorne.

Galois groups of random integer matrices Lemke Oliver and Frank Thorne

Reference 22

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raw_fallback, observed 2026-08-07T06:13:02.864506Z

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=arxiv_source observed=2026-08-07T06:13:02.253253Z digest=sha256:62493dbfc7e64b28bb98f03bc4985fd196737707563597c23b90846e9c2af5da

Observation 693f1881-88a6-49f7-8557-f5c012ea0270 · outbound

This paper cites Shparlinski.

Galois groups of random integer matrices Shparlinski

Reference 23

Resolution
verified exact
raw_fallback, observed 2026-08-07T06:13:02.487368Z

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=arxiv_source observed=2026-08-07T06:13:02.258417Z digest=sha256:4b748f4730c9b2eddd52bd772531e7d280c988762e8ac135b6da28e177cb3857

Observation 09b711e9-d183-4027-b589-87aea17f6032 · outbound

This paper cites On the number of matrices with given characteristic polynomial.

Galois groups of random integer matrices On the number of matrices with given characteristic polynomial

Reference 24

Resolution
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raw_fallback, observed 2026-08-07T06:13:02.848293Z

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=arxiv_source observed=2026-08-07T06:13:02.264154Z digest=sha256:81ebf42e43a495f10a0ea18db431ef398741113af585a0e47d1f7689ce44375f

Observation e29c63ff-046c-46e5-98fa-421d80edaf72 · outbound

This paper cites Counting Reducible Matrices, Polynomials, and Surface and Free Group Automorphisms.

Galois groups of random integer matrices Counting Reducible Matrices, Polynomials, and Surface and Free Group Automorphisms

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-07T06:13:02.377581Z

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=arxiv_source observed=2026-08-07T06:13:02.269220Z digest=sha256:d227b3e8ba9af6d56dc3d2c91681b8e1859b6d50240cba387d7297cc35073491

Observation d777798f-cb42-4e7d-b218-3a40221ec59e · outbound

This paper cites Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms.

Galois groups of random integer matrices Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms

Reference 26

Resolution
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raw_fallback, observed 2026-08-07T06:13:02.831968Z

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=arxiv_source observed=2026-08-07T06:13:02.275601Z digest=sha256:8e14056e5bad57db4d0da5935a1f93e7659fc23709eb4380bf93353e4f99ea00

Observation 6b4fde4e-4291-4fbf-a1ec-169e6ccdb9ba · outbound

This paper cites an unresolved cited work.

Galois groups of random integer matrices Unresolved cited work

Reference 27

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raw_fallback, observed 2026-08-07T06:13:02.814002Z

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=arxiv_source observed=2026-08-07T06:13:02.280775Z digest=sha256:3aed02d18910199b7759fd561eb2b986cb7bba184b08aa05f257b6b8f3e9a8e1

Observation c86a0555-5d2c-464c-9fa7-117fa298b02e · outbound

This paper cites Lectures on the M ordell- W eil Theorem.

Galois groups of random integer matrices Lectures on the M ordell- W eil Theorem

Reference 28

Resolution
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raw_fallback, observed 2026-08-07T06:13:02.794486Z

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=arxiv_source observed=2026-08-07T06:13:02.285786Z digest=sha256:22932b86c4efc6d6c8293f0ed3450f433f8b038d7da58c7fe7eb77fd57115796

Observation 5f5bc061-4b9d-4e4b-a408-5903eb2e194b · outbound

This paper cites an unresolved cited work.

Galois groups of random integer matrices Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T06:13:02.775927Z

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=arxiv_source observed=2026-08-07T06:13:02.291004Z digest=sha256:8e224cff1e88ca6871931ef0b820101c7b1b8e4e55a69d1d79cd2816c4c04d8b

Observation 85e776d5-0d05-4a4b-b59f-d7d47c264f90 · outbound

This paper cites an unresolved cited work.

Galois groups of random integer matrices Unresolved cited work

Reference 30

Resolution
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raw_fallback, observed 2026-08-07T06:13:02.757180Z

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=arxiv_source observed=2026-08-07T06:13:02.296030Z digest=sha256:a4d71a1e5830cee968b8cc6d1addc7e33c8d9cb22516505aa3e232ae19594e31

Observation 2d45a507-cd8f-4456-a4cd-b187d0332400 · outbound

This paper cites Hilbert's irreducibility theorem and the larger sieve.

Galois groups of random integer matrices Hilbert's irreducibility theorem and the larger sieve

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-07T06:13:02.301312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T06:13:02.301312Z digest=sha256:d24f2bbe059deb0faf865e3914272c10a7fa8d3ff3ddc8055b00c5d4fb9dbbed

Pith citing papers

No inbound Pith citation observations are available.