Paper Citation Record · LEDGER

$S$-transform in Finite Free Probability

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2408.09337.

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

pith.paper-citation-record.v1
2408.09337 v2

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measured 0 of 0 reference resolution

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measured 9 of 9 standing notices

One-hop event checks from named stored sources.

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

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:19:13.438199Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-23T19:15:47.347965Z

Reference resolution

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External citation measurements

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Outbound references

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Pith citing papers

Observation 507433c0-e99f-4b06-bb06-05668c2d0a2f · inbound

Universality for roots of derivatives of entire functions via finite free probability cites this paper.

Universality for roots of derivatives of entire functions via finite free probability $S$-transform in Finite Free Probability

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-23T19:15:47.351037Z

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 a4f082ca-7826-472f-974e-6fd7510f472d · inbound

Ramanujan Graphs and Interlacing Families cites this paper.

Ramanujan Graphs and Interlacing Families $S$-transform in Finite Free Probability

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T23:19:39.892932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Finite Free Convolution: Infinitesimal Distributions cites this paper.

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 b75ac841-b33e-4dba-9095-f527c79822ce · inbound

Regularity and Convergence Properties of Finite Free Convolutions cites this paper.

Regularity and Convergence Properties of Finite Free Convolutions $S$-transform in Finite Free Probability

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T15:25:56.612685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b80c526e-7c4a-4537-bb86-f1f5ee01b110 · inbound

Zeros of orthogonal little q-Jacobi polynomials: interlacing and monotonicity cites this paper.

Zeros of orthogonal little q-Jacobi polynomials: interlacing and monotonicity $S$-transform in Finite Free Probability

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:48.605390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1cf8e50-513f-4426-8bc4-58069dccae91 · inbound

Critical points of random polynomials and finite free cumulants cites this paper.

Critical points of random polynomials and finite free cumulants $S$-transform in Finite Free Probability

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T05:14:33.823668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a082118f-fcf0-423c-a4eb-62ac6e6f0891 · inbound

Spectral analysis of $q$-deformed unitary ensembles with the Al-Salam--Carlitz weight cites this paper.

Spectral analysis of $q$-deformed unitary ensembles with the Al-Salam--Carlitz weight $S$-transform in Finite Free Probability

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T14:44:52.500187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33467718-527a-49be-82c9-b6a710070a63 · inbound

Asymptotic root distribution of polynomials under repeated polar differentiation cites this paper.

Asymptotic root distribution of polynomials under repeated polar differentiation $S$-transform in Finite Free Probability

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-15T17:11:41.441569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a175d64c-c1c3-4e17-8b89-8a8c55d17689 · inbound

Zeros and exponential profiles of polynomials II: Examples cites this paper.

Zeros and exponential profiles of polynomials II: Examples $S$-transform in Finite Free Probability

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T17:06:08.252598Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.