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Paper Citation Record · LEDGER

Polynomial convolutions and (finite) free probability

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 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 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:19:40.017114Z

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-24T05:02:30.742121Z digest=sha256:26091521c6a0275af6da635dc29ddb44c233c8299f6abc92120f8a290d5cd126

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

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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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-23T20:59:06.440368Z digest=sha256:81dddfdabbf16f215017ccad54623dd8c7e7677abbc947c5db8bb443803798d6

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

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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-23T19:14:27.700432Z digest=sha256:1f439e5c414e4782660954ee5df22b378249115fc46b642dcd22b2e41067a0e4

Observation 4fe76c4d-a086-491e-ab09-d51de72b742c · inbound

Ramanujan Graphs and Interlacing Families cites this paper.

Ramanujan Graphs and Interlacing Families Polynomial convolutions and (finite) free probability

Reference 38

Resolution
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no resolver link, observed 2026-08-10T23:19:40.017114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:19:40.017114Z digest=sha256:1c9c7ac91be56a0452bb71d16bddf64cb384826a608e471ef6b3aeada7aeef37

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
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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=sha256:7965733579fd764f752e33bc1f112bff80d21144cd0bfd8d4e81fac462bb8746

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=sha256:02a7ac936563be5ffadc8b2f9fbb2867bce97ba33b0ffda9ae28eff563d21a57

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=sha256:55f04583cc49afedb4552b2005270e07e43ce9e0c90614c951ab031221ea6bc4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T15:41:35.361940Z digest=sha256:53a6f23d301f6776b4acb1a5f5ac1d60680d9ec9f38c3b0ff9389e57cb47423f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-21T01:16:03.542110Z digest=sha256:28a2c200a9952592732615c092ff71f9ba57d5f97e02d1900187ce5b977643c6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T12:50:50.613227Z digest=sha256:93c1a7435ab50e309370a7714fc15de6f171dc8479e911f4a65385387855302b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-08T19:11:37.429346Z digest=sha256:2f29b87fe39f4bb800629c8f918f4c1a0f99d23b99d017d970e1fa2385af635b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T21:04:04.480947Z digest=sha256:51fe36768caf11fb4d6ac9ec94134d4f93112ef9ff4d1b8e1512e35891d8eb56

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-27T21:23:18.800854Z digest=sha256:5e7a2dc18ca4cc49fd48afe4c20c5eca0c5ac89be33a0a2b0e80d1e5b3bff9ed

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T20:03:29.889802Z digest=sha256:0e01fd2e56475db5c92ba16248f0708ff8d313a3a4596c833e046148c79ea330