Paper Citation Record · LEDGER

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method

As of 23 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2608.06576.

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pith.paper-citation-record.v1
2608.06576 v1

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measured 34 of 34 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T14:41:56.754863Z

measured 34 of 34 standing notices

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measured 0 of 0 inbound itemization

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Reference resolution

34 of 34 outbound references displayed

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verified fuzzy28
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Outbound references

Observation 4002ddb4-58df-4a6e-897f-841a782007c2 · outbound

This paper cites Springer Science & Business Media, 1998.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Springer Science & Business Media, 1998

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.687609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c29df1e7-71f5-4bd3-950a-c4ddb43f9437 · outbound

This paper cites Irreducibility of random polynomials of large degree.Acta Mathe- matica, 2019.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Irreducibility of random polynomials of large degree.Acta Mathe- matica, 2019

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.667276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3b540d57-857a-42a0-9ab8-f0ce163542f2 · outbound

This paper cites Where are the zeroes of a randomp-adic polynomial?Forum Math.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Where are the zeroes of a randomp-adic polynomial?Forum Math

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.648987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7d07e4d4-d9e5-41a5-a5f7-6e4d1662b2f9 · outbound

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

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method The distribution of the cokernel of a polynomial evaluated at a random integral matrix

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T14:41:56.566625Z

Source-reported events for the cited work

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Observation fe21b6c5-3289-41c5-b56a-ae56b5dfd7ea · outbound

This paper cites Springer Science & Business Media, 2012.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Springer Science & Business Media, 2012

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.628535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ea466d1b-716f-40ea-a15a-98dcbdd2c8d4 · outbound

This paper cites How many zeros of a random polynomial are real?Bulletin of the American Mathematical Society, 32(1):1–37, 1995.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method How many zeros of a random polynomial are real?Bulletin of the American Mathematical Society, 32(1):1–37, 1995

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.611782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b19b099b-221d-487c-bdf9-60b03f69312d · outbound

This paper cites Modelingλ-invariants by p-adic random matrices.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Modelingλ-invariants by p-adic random matrices

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.592867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3739fb58-942d-4ddf-afd0-867b4f2b0239 · outbound

This paper cites Bulk universality for generalized Wigner matrices.Probability Theory and Related Fields, 154(1-2):341–407, 2012.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Bulk universality for generalized Wigner matrices.Probability Theory and Related Fields, 154(1-2):341–407, 2012

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.573793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f675837f-685a-4a17-a7a8-c92ae677261c · outbound

This paper cites On the number of real roots of a random algebraic equation.Proceedings of the London Mathematical Society, 3(1):139–160, 1956.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method On the number of real roots of a random algebraic equation.Proceedings of the London Mathematical Society, 3(1):139–160, 1956

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.557066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 079d62e5-06ed-4f26-91d6-95f16f69b3cc · outbound

This paper cites A proof of the generalized second-limit theorem in the theory of prob- ability.Transactions of the American Mathematical Society, 33(2):533–543, 1931.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method A proof of the generalized second-limit theorem in the theory of prob- ability.Transactions of the American Mathematical Society, 33(2):533–543, 1931

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.544255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4eb891b3-cf0d-4ebb-984b-25d457b0ec13 · outbound

This paper cites The zeros of a random polynomial.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method The zeros of a random polynomial

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.527407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f7833be3-6dcd-4ef2-8dbd-5255421f156a · outbound

This paper cites Universality for low-degree factors of random polyno- mials over finite fields.International Mathematics Research Notices, 2023(17):14752–14794, 2023.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Universality for low-degree factors of random polyno- mials over finite fields.International Mathematics Research Notices, 2023(17):14752–14794, 2023

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.506606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 86dc57ae-9998-4e77-a8d4-dde3a6b40c16 · outbound

This paper cites Prentice-Hall Hoboken, NJ, 1971.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Prentice-Hall Hoboken, NJ, 1971

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.489091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7fb141dd-f5c7-46a9-bd5e-74ca85b2b369 · outbound

This paper cites On the expected number of real zeros of random polynomials i.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method On the expected number of real zeros of random polynomials i

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.470559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 185e4c0c-7c46-4ac6-bc3e-e284577f34d9 · outbound

This paper cites Asymptotic distribution of complex zeros of random analytic functions.The Annals of Probability, pages 1374–1395, 2014.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Asymptotic distribution of complex zeros of random analytic functions.The Annals of Probability, pages 1374–1395, 2014

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.456090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 639b6153-c4af-446f-896e-39c93748a332 · outbound

This paper cites On the average number of real roots of a random algebraic equation.Bulletin of the American Mathematical Society, 1943.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method On the average number of real roots of a random algebraic equation.Bulletin of the American Mathematical Society, 1943

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.439387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1eb3f074-f92d-4666-a7e4-d71f040fb3e6 · outbound

This paper cites On the first non-universal term in random polynomial real zeros.arXiv preprint arXiv:2509.12170, 2025.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method On the first non-universal term in random polynomial real zeros.arXiv preprint arXiv:2509.12170, 2025

Reference 17

Resolution: verified exact; raw_fallback, observed 2026-08-15T14:41:57.147587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9d125a8d-a0bc-428d-bf69-a05863eb3354 · outbound

This paper cites Springer Science & Business Media, 2013.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Springer Science & Business Media, 2013

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.419420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 29b5a614-5f42-488a-b33b-19ff33edb5f3 · outbound

This paper cites Random integral matrices: universality of surjectivity and the cokernel.Inventiones mathematicae, 228(1):1–76, 2022.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Random integral matrices: universality of surjectivity and the cokernel.Inventiones mathematicae, 228(1):1–76, 2022

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.398626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4a56bd6d-8a61-43e2-a514-95de9cdf6a9a · outbound

This paper cites Roots of random functions: a framework for local universality.American Journal of Mathematics, 144(1):1–74, 2022.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Roots of random functions: a framework for local universality.American Journal of Mathematics, 144(1):1–74, 2022

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.380171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation caedcf44-8d10-474f-af89-99b9c2734a6e · outbound

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

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method The moment problem for random objects in a category

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T14:41:56.676393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29599546-1789-47ff-be28-305890e2cc72 · outbound

This paper cites Universality of rational canonical form for random matrices over a finite field.arXiv preprint arXiv:2510.16225, 2025.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Universality of rational canonical form for random matrices over a finite field.arXiv preprint arXiv:2510.16225, 2025

Reference 22

Resolution: verified exact; raw_fallback, observed 2026-08-15T14:41:56.941810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ea7babca-bc2b-43e0-b4d2-3d2755aab6aa · outbound

This paper cites In preparation.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method In preparation

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.365999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d096db22-d1bb-4d6a-ae65-bd676993cd06 · outbound

This paper cites Eigenvalues ofp-adic random matrices.arXiv preprint arXiv:2601.06283,.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Eigenvalues ofp-adic random matrices.arXiv preprint arXiv:2601.06283,

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T14:41:56.696813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc913b10-93db-4c9a-b99d-1478798898d4 · outbound

This paper cites The expected number of roots over the field ofp-adic numbers.International Mathematics Research Notices, 2023(3):2543–2571, 2023.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method The expected number of roots over the field ofp-adic numbers.International Mathematics Research Notices, 2023(3):2543–2571, 2023

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.328967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9645a95a-f21d-4550-a653-6b6de4922c50 · outbound

This paper cites Recherches sur les fractions continues.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Recherches sur les fractions continues

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.310196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2f579bb9-d621-478c-bfdf-ad5b3f32a66e · outbound

This paper cites Random matrices: universality of local eigenvalue statistics.Acta Mathematica,.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Random matrices: universality of local eigenvalue statistics.Acta Mathematica,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.293956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 71fe4faf-fc9e-400f-9a7f-501a80cc5044 · outbound

This paper cites Local universality of zeroes of random polynomials.International Mathematics Research Notices, 2015(13):5053–5139, 2015.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Local universality of zeroes of random polynomials.International Mathematics Research Notices, 2015(13):5053–5139, 2015

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.277569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6fdd7ab3-2d63-455b-84e4-89d7d90c5817 · outbound

This paper cites Limits and fluctuations of p-adic random matrix products.Selecta Mathematica, 27:1–71,.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Limits and fluctuations of p-adic random matrix products.Selecta Mathematica, 27:1–71,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.260985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 58666289-62d4-437f-a28c-e30cdba76c6e · outbound

This paper cites On the distribution of the roots of certain symmetric matrices.Annals of Mathematics, 67(2):325–327, 1958.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method On the distribution of the roots of certain symmetric matrices.Annals of Mathematics, 67(2):325–327, 1958

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.244444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dd70fa26-1719-44d9-9650-8ecd9b8e537d · outbound

This paper cites Characteristic vectors of bordered matrices with infinite dimensions i.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Characteristic vectors of bordered matrices with infinite dimensions i

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.226175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 725c7846-b4b7-4566-8d50-371c973a5991 · outbound

This paper cites Characteristic vectors of bordered matrices with infinite dimensions ii.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Characteristic vectors of bordered matrices with infinite dimensions ii

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.209044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation aea88a21-56eb-4fe8-af8e-20304535b63e · outbound

This paper cites The distribution of sandpile groups of random graphs.Journal of the American Mathematical Society, 30(4):915–958, 2017.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method The distribution of sandpile groups of random graphs.Journal of the American Mathematical Society, 30(4):915–958, 2017

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:41:57.191181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e2ba9160-62c3-4691-80a2-61dd5d9ff845 · outbound

This paper cites an unresolved cited work.

Universality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution Method Unresolved cited work

Reference 2026

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:41:57.350045Z

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