Paper Citation Record · LEDGER

Dynamics of rotationally invariant polynomial root sets under iterated differentiations

As of 8 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 3 inbound Pith citation observations for arXiv:2506.06263.

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

pith.paper-citation-record.v1
2506.06263 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:05:57.824126Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T19:37:54.132500Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T20:26:13.367373Z

Reference resolution

23 of 23 outbound references displayed

verified exact1
verified fuzzy15
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bdd1e393-610e-4ff8-8ed7-351e713111cd · outbound

This paper cites Alazard, O.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Alazard, O

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:59.152544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 44eb5dfa-b26d-4e54-9526-77c9c79953a0 · outbound

This paper cites Arizmendi, K.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Arizmendi, K

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:59.093575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 038af9a9-197d-4cfb-836c-e6b4a7d0495c · outbound

This paper cites Arizmendi, J.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Arizmendi, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:59.018433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b1edc1f8-8460-466b-8810-61f962472841 · outbound

This paper cites an unresolved cited work.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:05:58.958773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 66bb0879-49b6-4d47-97b2-72a7d8f93121 · outbound

This paper cites Campbell, S.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Campbell, S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:58.906053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9546eede-7535-4b39-84bd-390c616d9d35 · outbound

This paper cites Feng and D.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Feng and D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:58.849412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 24737472-0c7b-46a6-ad52-d098ab6d70f5 · outbound

This paper cites an unresolved cited work.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:05:58.785756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7c7bb434-e90f-4eab-b5b6-8558e303549e · outbound

This paper cites Dynamics of roots of randomized derivative polynomials.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Dynamics of roots of randomized derivative polynomials

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-07T06:05:57.909597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 29855fb1-2ce0-412b-873c-ef971821b5f7 · outbound

This paper cites Galligo, J.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Galligo, J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:58.722643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a9f44089-6793-4748-aa8e-a471172c239f · outbound

This paper cites Hoskins and Z.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Hoskins and Z

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:58.653616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e6c890b3-2305-4d8c-9bf7-7aad02320713 · outbound

This paper cites an unresolved cited work.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:05:58.588838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f0177402-5c01-407c-84ca-3ef706c06a29 · outbound

This paper cites an unresolved cited work.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:05:58.529027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 83626a83-a909-47fe-ac02-07ce8ec3827a · outbound

This paper cites Ibragimov and D.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Ibragimov and D

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:58.467149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9a28cbd2-671e-49f7-8172-05f71a97b371 · outbound

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

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Zeros and exponential profiles of polynomials I: Limit distributions, finite free convolutions and repeated differentiation

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T06:05:57.548381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a9ab9d4-3392-4f4c-8cc2-91ba38f24c2c · outbound

This paper cites Kabluchko.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Kabluchko

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:58.405041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ed844e03-affb-4a9d-a78b-2b3ac9b575c0 · outbound

This paper cites Repeated differentiation and free unitary Poisson process.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Repeated differentiation and free unitary Poisson process

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T06:05:57.613516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01f4629c-d638-485f-b4b3-299643cae0a2 · outbound

This paper cites Kabluchko and D.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Kabluchko and D

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:58.337793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a0ada1e8-03e3-4d5b-a6a4-53d6c8f93e6f · outbound

This paper cites Kiselev and C.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Kiselev and C

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:58.284661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4a286619-6a47-4dae-9dfd-e11fe9ffa070 · outbound

This paper cites Michelen and X.-T.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Michelen and X.-T

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:58.220617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f2ff92cb-cca3-42d0-9cdf-5175bb755083 · outbound

This paper cites Michelen and X.-T.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Michelen and X.-T

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:58.156346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 363dbb89-4ee2-4242-8a18-99d78fc005f3 · outbound

This paper cites O’Rourke and S.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations O’Rourke and S

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:58.094560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cf2c0fcc-74b7-4e42-b4f2-f51ef509428b · outbound

This paper cites Pemantle and I.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Pemantle and I

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T06:05:57.781074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b199cb7b-c658-4f59-9ad6-358352d08f8a · outbound

This paper cites Steinerberger.

Dynamics of rotationally invariant polynomial root sets under iterated differentiations Steinerberger

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:05:57.981839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 7b02f34f-1039-4df2-9825-34559f7f6671 · inbound

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

P\'olya--Schur problems and free probability Dynamics of rotationally invariant polynomial root sets under iterated differentiations

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-07-01T20:26:13.369103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b1eae7bc-4d1b-4d17-b3a9-0f039405ca86 · inbound

Root Dynamics of Differentiated Polynomials with Rotationally Invariant Structure cites this paper.

Root Dynamics of Differentiated Polynomials with Rotationally Invariant Structure Dynamics of rotationally invariant polynomial root sets under iterated differentiations

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-11T09:33:38.018755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c5920ed-500b-42f5-9769-ccd90f9bfd29 · inbound

Repeated differentiation of deterministic polynomials with asymptotically radial root distributions cites this paper.

Repeated differentiation of deterministic polynomials with asymptotically radial root distributions Dynamics of rotationally invariant polynomial root sets under iterated differentiations

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T19:37:54.132500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.