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Paper Citation Record · LEDGER

Polynomial convolutions and (finite) free probability

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2108.07054.

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

pith.paper-citation-record.v1
2108.07054 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:25:58.238321Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T01:59:26.641073Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 19130845-7ccf-4189-aa64-d78d2552d9c4 · inbound

Roots of polynomials under repeated differentiation and repeated applications of fractional differential operators cites this paper.

Roots of polynomials under repeated differentiation and repeated applications of fractional differential operators Polynomial convolutions and (finite) free probability

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-05-24T05:03:55.282835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-24T05:02:30.742121Z digest=sha256:8f16c530bdc9b5bce9e2a82c2f5108cbf973eb907288599b18396b62fffddf3d

Observation 95bba0ec-6cdf-48bc-b1d6-2f66c7d54108 · inbound

Cumulants in rectangular finite free probability and beta-deformed singular values cites this paper.

Cumulants in rectangular finite free probability and beta-deformed singular values Polynomial convolutions and (finite) free probability

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:03:26.662914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-23T20:59:06.440368Z digest=sha256:9c817e90611ada87166f780a5c277dd83ea0a58e99d038c2add40763307cc99c

Observation 1f78f4ee-47da-4f61-af80-5765f8a1a8db · 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 Polynomial convolutions and (finite) free probability

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-05-23T19:15:47.345804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T19:14:27.700432Z digest=sha256:09b89b3381449c53e24a967507a0a9a537c4206a3e0bab94f01bab5e79589550

Observation 79af50ab-9158-42ca-93c1-657c8d309158 · inbound

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

Regularity and Convergence Properties of Finite Free Convolutions Polynomial convolutions and (finite) free probability

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T15:25:58.238321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:25:58.238321Z digest=sha256:7e20f8599e554ffc6b2cb8b5e268a8513493518e4e731d3aaa347886026ed9b3

Observation 23e99a69-45ef-430c-b0ad-b16a9277db54 · inbound

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

Critical points of random polynomials and finite free cumulants Polynomial convolutions and (finite) free probability

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T05:14:33.876321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:14:33.876321Z digest=sha256:3acd434914be4a0b12dabf234e0fb9b65af04f9c1caaddd15d9b16a63139b5b9

Observation 4a5c2d9d-d218-4e39-90c2-1913c3710ecc · inbound

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

Zeros and exponential profiles of polynomials II: Examples Polynomial convolutions and (finite) free probability

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-04T17:06:09.675447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T17:06:09.675447Z digest=sha256:78ef827992ec86e936569409adada5dc259231e7f04018169a3a4cea810b44ce

Observation 092d43c3-8d9d-4bae-b52c-ffad7a46aa7b · inbound

Spectral Structure in Finite Free Information Inequalities and $p$-Stam Phase Transitions cites this paper.

Spectral Structure in Finite Free Information Inequalities and $p$-Stam Phase Transitions Polynomial convolutions and (finite) free probability

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-05-11T10:01:02.932847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T15:41:35.361940Z digest=sha256:fd483675973706fcfc237e57bfa2f0d2e4929eb108e3db5d75e357b57a7e4df2

Observation 452bff43-53d8-4b52-8fc1-9409c59c5e01 · inbound

Spectral Structure in Finite Free Information Inequalities and $p$-Stam Phase Transitions cites this paper.

Spectral Structure in Finite Free Information Inequalities and $p$-Stam Phase Transitions Polynomial convolutions and (finite) free probability

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-05-21T01:19:20.897143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-21T01:16:03.542110Z digest=sha256:eaeb8786b5a6b945d6fe3962c5f6eb32460bd53b9429c493edc48467f9b1f19d

Observation 5193db65-9bfd-4d71-a6d0-15040752b60d · inbound

Convolution, cumulants and infinitesimal generators in the formal power series ring cites this paper.

Convolution, cumulants and infinitesimal generators in the formal power series ring Polynomial convolutions and (finite) free probability

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-11T11:41:04.355433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T12:50:50.613227Z digest=sha256:41e1bb1b79eb0e249074c3dadd31320fbd1e613d887994ea0f2bd15370890d6e

Observation 66d753c1-f85d-4e1d-861c-25f4df130b6b · inbound

An analytic approach to the finite R-transform cites this paper.

An analytic approach to the finite R-transform Polynomial convolutions and (finite) free probability

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-09T06:00:36.599113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-08T19:11:37.429346Z digest=sha256:b85015db129856c61549399f11877e9bbb91ff5c5f2fcd1b6d1519abc072bafa

Observation b49db079-1ea7-424e-b4ed-ed57ee56b7f6 · inbound

P\'olya--Schur problems and free probability cites this paper.

P\'olya--Schur problems and free probability Polynomial convolutions and (finite) free probability

Reference 61

Resolution
verified exact
arxiv_id, observed 2026-07-01T20:26:13.391823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T21:04:04.480947Z digest=sha256:e858b158a0698adecb117b3d4417b10594448e47e7426e462effaa8acf2f0c2b

Observation d5d46dc9-2ed7-42a8-b9f2-e6d659eecd67 · inbound

The Rectangular Finite Free Heat Flow cites this paper.

The Rectangular Finite Free Heat Flow Polynomial convolutions and (finite) free probability

Reference 37

Resolution
verified exact
arxiv_id, observed 2026-07-02T19:47:19.147455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-27T21:23:18.800854Z digest=sha256:aed2b44397475f71cbbd2373340163af46c605f9a3b903733016125600122b58

Observation 3cb4b289-40dc-4d54-8315-ca31ba19a5e8 · inbound

Finite free perpetuities cites this paper.

Finite free perpetuities Polynomial convolutions and (finite) free probability

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-07-04T01:59:26.643625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T20:03:29.889802Z digest=sha256:4f4ba18725c23281ae76427de74ccab31166a1bb1421f9a4363265dd2ace097f