Paper Citation Record · LEDGER

Finite Free Convolution: Infinitesimal Distributions

As of 22 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2505.01705.

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

pith.paper-citation-record.v1
2505.01705 v2

Coverage vector

measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-16T04:19:13.671640Z

measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

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Reference resolution

32 of 32 outbound references displayed

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External citation measurements

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Outbound references

Observation f22c3be0-1853-4463-abd0-60589af62029 · outbound

This paper cites $S$-transform in Finite Free Probability.

Finite Free Convolution: Infinitesimal Distributions $S$-transform in Finite Free Probability

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T04:19:13.438199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b43a532-7094-4d48-8c60-aed8811a5d01 · outbound

This paper cites Finite free cumulants: multiplicative convolutions, genus expansion and infinitesimal distributions.

Finite Free Convolution: Infinitesimal Distributions Finite free cumulants: multiplicative convolutions, genus expansion and infinitesimal distributions

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.397095Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 38371943-5bbb-4a49-ab32-425bb1939ad3 · outbound

This paper cites Cumulants for finite free convolution.

Finite Free Convolution: Infinitesimal Distributions Cumulants for finite free convolution

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.379092Z

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Observation 3c46e40c-585d-4dfd-8a0d-1f9eedfcedb2 · outbound

This paper cites Non-crossing cumulants of type B.

Finite Free Convolution: Infinitesimal Distributions Non-crossing cumulants of type B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.362151Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6bc1f8ea-9e47-4367-967c-08603b4739eb · outbound

This paper cites Processes with free increments.

Finite Free Convolution: Infinitesimal Distributions Processes with free increments

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.345227Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 29a7bb03-e867-4e47-acb9-a3cba9fc0cdf · outbound

This paper cites Free probability of type B : analytic interpretation and applications.

Finite Free Convolution: Infinitesimal Distributions Free probability of type B : analytic interpretation and applications

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.325887Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5b968044-5613-4c07-84b2-72142eb6e03c · outbound

This paper cites Free convolution of measures with unbounded support.

Finite Free Convolution: Infinitesimal Distributions Free convolution of measures with unbounded support

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.306490Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cf470407-8c3d-4e1d-a19f-3613cfca1791 · outbound

This paper cites Infinitesimal freeness for orthogonally invariant random matrices.

Finite Free Convolution: Infinitesimal Distributions Infinitesimal freeness for orthogonally invariant random matrices

Reference 8

Resolution: verified exact; raw_fallback, observed 2026-08-16T04:19:13.848989Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f487820d-8a1d-4b6c-9a6d-ac3824a93d2d · outbound

This paper cites Global spectrum fluctuations for the -hermite and -laguerre ensembles via matrix models.

Finite Free Convolution: Infinitesimal Distributions Global spectrum fluctuations for the -hermite and -laguerre ensembles via matrix models

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.287429Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bc8f7bc5-56ae-4ab5-9c49-352eea638908 · outbound

This paper cites The spectra of principal submatrices in rotationally invariant hermitian random matrices and the markov--krein correspondence.

Finite Free Convolution: Infinitesimal Distributions The spectra of principal submatrices in rotationally invariant hermitian random matrices and the markov--krein correspondence

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.269925Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b753c96a-8a72-4f0e-982d-3cc39d34fab1 · outbound

This paper cites Infinitesimal non-crossing cumulants and free probability of type B.

Finite Free Convolution: Infinitesimal Distributions Infinitesimal non-crossing cumulants and free probability of type B

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.248710Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 939f1535-c277-4419-8c43-d4780cc9825e · outbound

This paper cites Bias and Division in the Free World.

Finite Free Convolution: Infinitesimal Distributions Bias and Division in the Free World

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-16T04:19:13.747040Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c8d91ab6-2ca3-4ea3-9fdb-b419b5a03f1a · outbound

This paper cites On fluctuations of eigenvalues of random hermitian matrices.

Finite Free Convolution: Infinitesimal Distributions On fluctuations of eigenvalues of random hermitian matrices

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.225939Z

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Observation fe264c80-321d-4936-9684-39303dbb3049 · outbound

This paper cites Interlacing measures.

Finite Free Convolution: Infinitesimal Distributions Interlacing measures

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.202220Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9d148efe-e1c9-4d9f-a994-50c3f339439d · outbound

This paper cites Addition of freely independent random variables.

Finite Free Convolution: Infinitesimal Distributions Addition of freely independent random variables

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.179769Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 19cc644d-f504-4045-b30b-061b5e6790d9 · outbound

This paper cites Polynomial convolutions and (finite) free probability.

Finite Free Convolution: Infinitesimal Distributions Polynomial convolutions and (finite) free probability

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T04:19:13.581657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdaf9b93-2a26-447f-9a91-a172edce4ca4 · outbound

This paper cites Non-crossing annular pairings and the infinitesimal distribution of the GOE.

Finite Free Convolution: Infinitesimal Distributions Non-crossing annular pairings and the infinitesimal distribution of the GOE

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.163942Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e76bd616-6221-48de-9c8f-9eb29102df2e · outbound

This paper cites Annular noncrossing permutations and partitions, and second-order asymptotics for random matrices.

Finite Free Convolution: Infinitesimal Distributions Annular noncrossing permutations and partitions, and second-order asymptotics for random matrices

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.145932Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6a6f582e-e630-48a6-8d92-99d8c2057b3d · outbound

This paper cites Second order freeness and fluctuations of random matrices: I.

Finite Free Convolution: Infinitesimal Distributions Second order freeness and fluctuations of random matrices: I

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.128432Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c5dcf6ea-b566-49b7-bb94-91313a7cfac3 · outbound

This paper cites Free probability and random matrices , volume 35.

Finite Free Convolution: Infinitesimal Distributions Free probability and random matrices , volume 35

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.111938Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 29a45125-760b-404b-89e1-6e6892bc8723 · outbound

This paper cites Second order freeness and fluctuations of random matrices: II.

Finite Free Convolution: Infinitesimal Distributions Second order freeness and fluctuations of random matrices: II

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.093733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a8469b42-2018-479d-a310-d2bc1f4d9a99 · outbound

This paper cites Finite free convolutions of polynomials.

Finite Free Convolution: Infinitesimal Distributions Finite free convolutions of polynomials

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.073280Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 845e23ce-f162-4f1d-aa95-b66cef0a9dfd · outbound

This paper cites The asymptotic infinitesimal distribution of a real wishart random matrix.

Finite Free Convolution: Infinitesimal Distributions The asymptotic infinitesimal distribution of a real wishart random matrix

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.051961Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c0b20c7a-3ca5-48e3-b45b-25123e17a41e · outbound

This paper cites Lectures on the combinatorics of free probability , volume 13.

Finite Free Convolution: Infinitesimal Distributions Lectures on the combinatorics of free probability , volume 13

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T04:19:13.625728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2035e640-b0cf-4113-bd60-b99bcac71a94 · outbound

This paper cites Free probability of type- B and asymptotics of finite-rank perturbations of random matrices.

Finite Free Convolution: Infinitesimal Distributions Free probability of type- B and asymptotics of finite-rank perturbations of random matrices

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:14.017533Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 91186c29-b73e-4bba-a8e9-950e726dd682 · outbound

This paper cites Enumerative Combinatorics, vol 1.

Finite Free Convolution: Infinitesimal Distributions Enumerative Combinatorics, vol 1

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:13.997904Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6f46a098-eb8c-4543-a7a7-fb6b7d674a7d · outbound

This paper cites o . Bemerkungen zu einem S atz von JH G race \.

Finite Free Convolution: Infinitesimal Distributions o . Bemerkungen zu einem S atz von JH G race \

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:13.981427Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ea2304f8-d1b4-49d8-97e4-9437d9e5d4ed · outbound

This paper cites Addition of certain non-commuting random variables.

Finite Free Convolution: Infinitesimal Distributions Addition of certain non-commuting random variables

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:13.966140Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e1ebb8e0-05a6-49ff-af4c-8edf622ec2d4 · outbound

This paper cites Multiplication of certain non-commuting random variables.

Finite Free Convolution: Infinitesimal Distributions Multiplication of certain non-commuting random variables

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:13.949438Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3530f170-beb5-4d64-89ea-9351467cd6b2 · outbound

This paper cites Limit laws for random matrices and free products.

Finite Free Convolution: Infinitesimal Distributions Limit laws for random matrices and free products

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T04:19:13.661383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abccb154-799e-4513-9032-7dd1a2327145 · outbound

This paper cites The analogues of entropy and of fisher's information measure in free probability theory, I.

Finite Free Convolution: Infinitesimal Distributions The analogues of entropy and of fisher's information measure in free probability theory, I

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:13.906485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 532dc569-af57-427c-9282-0cdc2fd0dd6f · outbound

This paper cites On the location of the roots of certain types of polynomials.

Finite Free Convolution: Infinitesimal Distributions On the location of the roots of certain types of polynomials

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:19:13.888635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

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