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Paper Citation Record · LEDGER

Galois groups of random integer matrices

As of 15 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 2026-08-14T06:32:32.682623+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

Resolution
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.133121Z digest=sha256:ca44ca66205548eafc538b498a4665d3775d82a5547136a0ccfb82a030257141

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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raw_fallback, observed 2026-08-07T06:13:03.143556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.139770Z digest=sha256:98390c461f45ccfde229a9dab5b0cd59d2e0a385718592a812eda0ae2c5bda1c

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.146460Z digest=sha256:c8e10e812e65bc608138f3f80c114cf98aef81bf16d914ecefc430abcea2fd1b

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.152123Z digest=sha256:167265d3c76462176db040eb774d8b2028c88fe5e9fad7f6ba78c2cc73689fd8

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
verified fuzzy
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.158225Z digest=sha256:ee81d8323c65a84bfab57bd5e88a5974bccee357b963e3563c665790ab1fd5fb

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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raw_fallback, observed 2026-08-07T06:13:03.091823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.164170Z digest=sha256:a76dfb9c3aafdf7494a49fd050f6dec98b38575bde583bb180a55756825cfcf4

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.172270Z digest=sha256:4ce46c2eb9d67342bfeb0c207570b3cd1479c1934e25f86c324eb7e483ac2b08

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
verified fuzzy
raw_fallback, observed 2026-08-07T06:13:03.057818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.178125Z digest=sha256:4adcaa4acf4c70cb63852385aa65c02b2e20d02bcbafe3f9f8748895d2dc2c76

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.183556Z digest=sha256:2d0b3f271e5d73b7a9b08a37bb23394c926d099eeda10292fda48254367632db

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.188510Z digest=sha256:d552c6a5a577d9d3cc8955a8c1a6c383c54fc2d693fd355afd11921e350e2cdf

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
unresolved
raw_fallback, observed 2026-08-07T06:13:03.002695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.193662Z digest=sha256:8757331fdf0c32c3a51df79c111b0d160a7e49d4c6bf959eb5cb0c594e2e92cb

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
verified fuzzy
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.199984Z digest=sha256:2b5cb180501fb8d264dc03148031e2799e025be5501a5d6955439c02fc04021b

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.205488Z digest=sha256:c2522d8a60cf33a586b65745a90cc36d18e432ad78ee7b40166c8316281a98d6

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
verified fuzzy
raw_fallback, observed 2026-08-07T06:13:02.948479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.210770Z digest=sha256:f55cbed3afdc5b16d9041777bb49284a29aa12323a106a5b3b9d2f9123e24a3c

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
unresolved
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.215922Z digest=sha256:f49a56b44fffd0947b9427b42447ec9e94a665f9b71cd1e2f1e9ff3fd2c6aaff

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
verified fuzzy
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.221709Z digest=sha256:49bcbfe4213319ae809d301d2b954f75e5f68a5ffc012654247d8cd4d58d84c2

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
unresolved
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:e81d362d555df2e3707ea14c15f7f0810b4fb739a9ae4e8a3518a8c5c13811a6

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:f638e77f60278020916d17a4c4eb4c375f870aff7eb32279a54f04c452ca1bd6

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
verified exact
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.238028Z digest=sha256:3a623b86a57aadad218f195650135b91e3a8b5c2ebcf436697187049cb507dde

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.243170Z digest=sha256:ffe9ea4f2d18f19ac016c291c87526a12cc5796196ddce1416772c5bc848e4d8

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
verified fuzzy
raw_fallback, observed 2026-08-07T06:13:02.882275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.248140Z digest=sha256:0fcd58753a8bb34d7d7a6d3864b1bea4225eb3e0572bec7abd71f5d5475a0d39

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

Resolution
verified fuzzy
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.253253Z digest=sha256:539cd00fe626e0316d375df0c3e6c74bdd90f1831a18684f4f1a79e19398a457

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.258417Z digest=sha256:83c49f12f7e8b732617243c4764baab014a8c75b187e7c8f1cdbffe5cda1ff12

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
verified fuzzy
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.264154Z digest=sha256:265581c363d38f9a52b50e167b52a15cfdc99ff489f3492d2b5020e1a11bf757

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.269220Z digest=sha256:a0aad0527b55ca0b5e847c2353f482c422475e0232531996b3999003f0ff9316

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
verified fuzzy
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.275601Z digest=sha256:eceb2e39406da2e56a03007ddf487a406bba68d26e10a6a5473b1214b3c5b3a6

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

Resolution
unresolved
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.280775Z digest=sha256:8f6713834381595fa41438f7d25ad888ed68fc337bb3d76157f6796cd5309bc1

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
verified fuzzy
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.285786Z digest=sha256:507dd948bb8760c9fd10f3e99b219f8dfaf00049f6cef2241d3b5327a908959f

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.291004Z digest=sha256:f00ff9690eb507153d27af7e4f34bdceeedb14ae16adec1b1db8bcf418f933e4

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
unresolved
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T06:13:02.296030Z digest=sha256:f3c559d5ed89ab4a95ec58609a5764d930206e9adc83fc0fae2f798fe80f180b

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=sha256:890bcea584b98ccb01ab067f0a2060566549d47138e37fc35a207f8306e1464a

Pith citing papers

No inbound Pith citation observations are available.