Paper Citation Record · LEDGER

Galois groups of random integer matrices

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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.

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.

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 2026-08-13T06:32:02.005865+00:00.

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: unresolved; 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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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.

Pith citing papers

No inbound Pith citation observations are available.