Pith. sign in

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

Typed states for the displayed outbound observations.

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

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

32 of 32 outbound references displayed

  • verified exact2
  • verified fuzzy26
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

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.

source=arxiv_source observed=2026-08-16T04:19:13.438199Z digest=sha256:d7ff96d9c3afacfe8ad99db24d61762bb42e0d707db4d38156517b301db50817

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.446232Z digest=sha256:f68bf12beee3e275bbf24295e8db2a2c6956af1abdcd1b85a3bd7b3aa118dfe4

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.459133Z digest=sha256:16d940f6d778695fcab17ae8ef81ffbbdd7efa32a883b4cc9a6a69447be2248b

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.469481Z digest=sha256:c6a472a1f0bbaa4d8269bdf6bc4123e30d40b6ed693f636455689e4b34e10c6a

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.479021Z digest=sha256:5f15ead96deccbc2d0874a7e5269edf12296778c05f51931b610e4fa74631cb6

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.486382Z digest=sha256:d4b32d55efc1dcf283ebb747f0d7c25b3c04774c291f2cdedd7822c363037e13

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.502717Z digest=sha256:17491046fd0bfc54e77d86710b534b86610ca55b6c1975f40dddc9ea7eff51ef

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.513974Z digest=sha256:da01acf898686ca149734dcdd2220745400db8d3581fc99053bab24f427937b8

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.521339Z digest=sha256:7bc42fede2dd4d5be4971bec85be40d3f913891899a180a7be5e470f5d29b2a7

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.531026Z digest=sha256:fd2f88f08d1dac15d6d15b4f4bbee475dd9885c8291cd883a4d93dc1658dbc2f

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.540686Z digest=sha256:af551456852678356e4dd75703d03da70cf51a43fe02364d5cbb95d86cd6547a

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.551656Z digest=sha256:51342e6b1daed6aa801bef02507730241b3b26ecfd0d6c951cb353164ce2dbf5

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.558785Z digest=sha256:53fad3f2410625d26ffb8873f075909855cce92469754b93d96970809aa3a828

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.565256Z digest=sha256:b03267dce67dc4e35b7fec20c60b06b31b27fe337e39122aded35722cdbb4cff

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.573118Z digest=sha256:5b94639c7e5436ec8b8b1edb6b3ac020ef5fb46f45cd8c8fc22a85c75613bfde

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.

source=arxiv_source observed=2026-08-16T04:19:13.581657Z digest=sha256:7af0403d46e408a73981bd7de5c0947fb7b97092a701d73110cd79903446f81e

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.586751Z digest=sha256:18cd826e3bb7c3b7d27b9fcee25b1c50ccb653aff3dc1d4eaa451e8dfacfd8ce

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.591288Z digest=sha256:ee3629e488fd5c1f0347d76abc5661f53d0d8a258f642a3f4c59b5eb715dec45

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.596498Z digest=sha256:124af8a09a4c98d1567868d58f94fa02116566aa0adc44ebb92b1adf4d8e3a44

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.601359Z digest=sha256:7854fc5e96330a58077bff7ccf990fbb6ae04c676b5ee196d8ced5d0e00187db

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.606966Z digest=sha256:f8efaa3e4ebfca51d28f7998141a1b009b09d2a5522fc0fea4b1db81202970a3

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.614599Z digest=sha256:e3f7d213c5a7f8fd7f46eb3aa29f1db8619bd7db4d0170407f6e011e7e104d3b

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.619146Z digest=sha256:130d8a9afe7a70f4ac10343ad14f36f770bae250e1cbd62fda057ee4bc67afbf

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.

source=arxiv_source observed=2026-08-16T04:19:13.625728Z digest=sha256:60bca56472b316363bab0388dfc06ffc394665ac37648bd3657c8d3fbb7ee014

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.632132Z digest=sha256:ba55037912d5386fd672e9cd8eb0a5b479751b7abcdf50e0263382a580e4d802

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.636715Z digest=sha256:78efa2e97ebbae837d11a090760a30c0cd5c7da5b56f1b04b61fd87c63df4b14

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.641604Z digest=sha256:31f502f2dfa51b067d71a20131138b323044cebf482899a045a50671805955f4

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.649254Z digest=sha256:e4e7d1d1974614e288003aaf8de9fc7e9c5285ffae6bedd75cacd933ef2ba8e7

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.656512Z digest=sha256:bec9ac07879ba1bcde8553474a9858ced9604d32010b8cb143d6f3d86733f503

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.

source=arxiv_source observed=2026-08-16T04:19:13.661383Z digest=sha256:25e95fb8fee7a18c86b42a7bd5abcf29af689bd3f1781410550f80a805863ee3

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.666142Z digest=sha256:d28dc119e8a1d913eca236943d31543393e96ca432493d8340244bee383f45d5

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T04:19:13.671640Z digest=sha256:dea8b67431ec4a1ad76536db3cd9e71a264801907313a76b3e7912d0435ece67

Pith citing papers

No inbound Pith citation observations are available.