Paper Citation Record · LEDGER

Asymptotic root distribution of polynomials under repeated polar differentiation

As of 17 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2508.18575.

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

pith.paper-citation-record.v1
2508.18575 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:11:41.470809Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

10 of 10 outbound references displayed

verified exact0
verified fuzzy2
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 96228297-16d3-437e-8708-661ee6a35065 · outbound

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

Asymptotic root distribution of polynomials under repeated polar differentiation Critical points of random polynomials and finite free cumulants

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T17:11:41.436777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97a7f5f3-7a85-4f9b-9be8-aa5ae19cf5c2 · outbound

This paper cites The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation.International Mathematics Research Notices, 2024(13):10189–10218,.

Asymptotic root distribution of polynomials under repeated polar differentiation The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation.International Mathematics Research Notices, 2024(13):10189–10218,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:41.693867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e12b6d6e-5c00-466e-ba56-30bb73d34f9f · outbound

This paper cites Polynomials, roots, and interlacing.

Asymptotic root distribution of polynomials under repeated polar differentiation Polynomials, roots, and interlacing

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T17:11:41.456599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48c9a033-5ca8-4ee5-82ac-d5cf7fe6dde5 · outbound

This paper cites Repeated differentiation and free unitary Poisson process.

Asymptotic root distribution of polynomials under repeated polar differentiation Repeated differentiation and free unitary Poisson process

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T17:11:41.470809Z

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Unavailable: canonical work link unavailable.

Observation 609c99e8-b546-4de6-9177-bbc58fa8d621 · outbound

This paper cites Free infinite divisibility, fractional convolution powers, and Appell polynomials.

Asymptotic root distribution of polynomials under repeated polar differentiation Free infinite divisibility, fractional convolution powers, and Appell polynomials

Reference 1995

Resolution: unresolved; no resolver link, observed 2026-08-15T17:11:41.445606Z

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Observation a2b60c5c-0d7f-4f22-815f-7a05c26d5ba0 · outbound

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

Asymptotic root distribution of polynomials under repeated polar differentiation Roots of polynomials under repeated differentiation and repeated applications of fractional differential operators

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-15T17:11:41.460141Z

Source-reported events for the cited work

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Observation 170f3db3-9d08-4a8e-9b48-b46a467d2163 · outbound

This paper cites Zeros and exponential profiles of polynomials I: Limit distributions, finite free convolutions and repeated differentiation.

Asymptotic root distribution of polynomials under repeated polar differentiation Zeros and exponential profiles of polynomials I: Limit distributions, finite free convolutions and repeated differentiation

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-15T17:11:41.467268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56332d21-3a4e-46da-b2c9-89a2c58c5f8f · outbound

This paper cites A semicircle law for derivatives of random polynomials.

Asymptotic root distribution of polynomials under repeated polar differentiation A semicircle law for derivatives of random polynomials

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:41.681596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4fa6d782-f7b5-4ed7-a682-cea5ad0e32eb · outbound

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

Asymptotic root distribution of polynomials under repeated polar differentiation Universality for roots of derivatives of entire functions via finite free probability

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-15T17:11:41.449155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

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

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Pith citing papers

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