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Paper Citation Record · LEDGER

Zeros of repeated derivatives of random polynomials

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.00730.

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

pith.paper-citation-record.v1
1908.00730 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:43:14.104799Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved1
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c17635a3-a428-437a-a10e-2ae867669732 · outbound

This paper cites Bloom and B.

Zeros of repeated derivatives of random polynomials Bloom and B

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:15.032684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:13.891113Z digest=sha256:2c0dc06d6cad4dabdaae3277dd7ee1ccf5d87aae69ccbd3ba3ab3ad46aa9c084

Observation 182f6bf6-b04b-485b-a731-9a0ff1eb3ad0 · outbound

This paper cites Bleher , B.

Zeros of repeated derivatives of random polynomials Bleher , B

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:15.004083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:13.900367Z digest=sha256:4721075685a3bd1a53c958fc97fd0f15e733bfc08f08370b6b63f714276d154a

Observation 009b9b11-ddf8-45ad-8e77-0709efeebec9 · outbound

This paper cites Carleman, \" Uber die Approximation analytischer Funktionen durch lineare Aggregate von.

Zeros of repeated derivatives of random polynomials Carleman, \" Uber die Approximation analytischer Funktionen durch lineare Aggregate von

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.970746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:13.911910Z digest=sha256:224cff08100dbb5610eacbf34bd2be8814b937967044bc5563232746f0ef335c

Observation 9b3e39e0-010b-40cd-89a5-061a6f6f989f · outbound

This paper cites Farmer and R.

Zeros of repeated derivatives of random polynomials Farmer and R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.947511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:13.918659Z digest=sha256:67a8b542ff4d141fcff70e51d26678dd7caf08c3fb6f7f8516dc98dbffebf041

Observation c664a136-c7e9-4291-9068-c87ef290efb6 · outbound

This paper cites Farmer and M.

Zeros of repeated derivatives of random polynomials Farmer and M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.921121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:13.926951Z digest=sha256:30acf25ab60a5914125e8140adb6e36417ea78d2edd570bb269930143f27a78b

Observation 242277ea-c529-4c32-bce1-48fb7099c2bf · outbound

This paper cites Feng , Zeros of derivatives of Gaussian random polynomials on plane domain, preprint.

Zeros of repeated derivatives of random polynomials Feng , Zeros of derivatives of Gaussian random polynomials on plane domain, preprint

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.884833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:13.934862Z digest=sha256:298c3bc767f8fb088315852776608fa5fbdbcf9de215c3dabfafb907e089eb25

Observation e39e5357-bc55-4baf-8f11-ee43743e7149 · outbound

This paper cites Hanin , Correlations and Pairing Between Zeros and Critical Points of Gaussian Random.

Zeros of repeated derivatives of random polynomials Hanin , Correlations and Pairing Between Zeros and Critical Points of Gaussian Random

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.856554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:13.942968Z digest=sha256:85d884e45b85353e9df95e7d41afb24b14aab222459a4449af90728c22af0e0d

Observation 2c89add0-bf37-40a3-be71-b95b06c3c99a · outbound

This paper cites an unresolved cited work.

Zeros of repeated derivatives of random polynomials Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:43:14.833689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:13.948967Z digest=sha256:e6b9e84ad54f09ce88b317c815705065d117ea55758d9c28682cf867ce5b3299

Observation 613c3b65-9c23-49fa-97d5-f41d0401995c · outbound

This paper cites Hough , M.

Zeros of repeated derivatives of random polynomials Hough , M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.802232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:13.954680Z digest=sha256:7c1d8379b7650328b75428ca0dead29df09670a3fee458dca8e1148e66f45b8e

Observation 9bddd85a-7788-44cb-87f6-5f53e890526b · outbound

This paper cites Ibragimov and O.

Zeros of repeated derivatives of random polynomials Ibragimov and O

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.780071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:13.960761Z digest=sha256:2f3f88fbcb9e04742e38eff72a5c7da9a866a61d466c45b837ef2ed46f78fdcc

Observation e2630569-05e2-4e6f-ad3b-14eba7740e25 · outbound

This paper cites Ibragimov and D.N.

Zeros of repeated derivatives of random polynomials Ibragimov and D.N

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.753734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:13.984306Z digest=sha256:a71bbd608e4cc6ba9adf0fbacfe70fb6944a9a0aa1b24f3d25ae24303df83c51

Observation 6d32a564-388c-4742-bb26-438313a179f6 · outbound

This paper cites Kac , On the average number of real roots of a random algebraic equation.

Zeros of repeated derivatives of random polynomials Kac , On the average number of real roots of a random algebraic equation

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.723838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:13.994361Z digest=sha256:bbc19ef578ec0535ce153be546d0c24251339a6e3315657b7b37a1bdcc9156a6

Observation 71cd9e19-b222-460e-b536-000a3ad29d12 · outbound

This paper cites Kabluchko, Critical points of random polynomials with independent identically distributed roots, Proc.

Zeros of repeated derivatives of random polynomials Kabluchko, Critical points of random polynomials with independent identically distributed roots, Proc

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.696054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:14.001425Z digest=sha256:017e2427c760b1824290e78bfa7661806e45565aea3f259d5d5bdd099426a17e

Observation cf5224f9-62d2-4024-93ec-499cd6260815 · outbound

This paper cites Kabluchko and D.

Zeros of repeated derivatives of random polynomials Kabluchko and D

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.676544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:14.008785Z digest=sha256:b00e2b1093caf6b6661ae97b75f0b340062be4d7c13495d9323f0fe729d84494

Observation d01d9f1d-d6d0-4cb4-a407-8f30d3078302 · outbound

This paper cites Kabluchko and D.

Zeros of repeated derivatives of random polynomials Kabluchko and D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.645709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:14.017213Z digest=sha256:f1d0aa526f965c6b17132456dfeebcbea63c30bdb20e51ceaa1de3bfc3586fb4

Observation 4e970a54-40f2-4473-bf39-b35b68245cad · outbound

This paper cites P\'olya and J.

Zeros of repeated derivatives of random polynomials P\'olya and J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.603936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:14.023879Z digest=sha256:18bbf198b89919a62ca544d8a3ec783391bf6b3cd7e0c863094f933eca8e37b5

Observation 69960560-a8b8-48d0-8a8c-b5d8ef8aee41 · outbound

This paper cites Pemantle and I.

Zeros of repeated derivatives of random polynomials Pemantle and I

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.575622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:14.034535Z digest=sha256:f1526c094a58628d399b379c60206c74e9f748b4b58a46c31be11455ac1774b4

Observation a4eeeaf6-5cb1-418b-a3be-fd20a0a54237 · outbound

This paper cites Sodin and B.

Zeros of repeated derivatives of random polynomials Sodin and B

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.543442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:14.053049Z digest=sha256:eb41f56bf70c346783fcf4b5291bb6c94cc7b40eef90b19831e4f7715ab93f49

Observation 9bcae5a7-036b-4bb7-ae44-51add5061c92 · outbound

This paper cites Szeg\" o , Orthogonal polynomials, fourth edition, American Mathematical Society, Colloquium Publications, Vol.

Zeros of repeated derivatives of random polynomials Szeg\" o , Orthogonal polynomials, fourth edition, American Mathematical Society, Colloquium Publications, Vol

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.515980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:14.064062Z digest=sha256:a05cf5c74942aafbfd1c71b06aea5b77f235c59709e47b546fb4440a1685cb38

Observation 1fe3af7e-320a-4ecf-9264-e7c5caa86f0c · outbound

This paper cites O'Rourke, Critical Points of Random Polynomials and Characteristic Polynomials of Random Matrices, Int Math Res Notices (2015),.

Zeros of repeated derivatives of random polynomials O'Rourke, Critical Points of Random Polynomials and Characteristic Polynomials of Random Matrices, Int Math Res Notices (2015),

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.473715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:14.070887Z digest=sha256:6f86ab669e7ec828b5fcd0545c41a8f2ce767d40f454e72b5e838e2935fe5823

Observation 940aa441-b204-4a35-a358-11b1a0ef4edf · outbound

This paper cites Subramanian, On the distribution of critical points of a polynomial, Electron.

Zeros of repeated derivatives of random polynomials Subramanian, On the distribution of critical points of a polynomial, Electron

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.447729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:14.078708Z digest=sha256:4015a56fccc9337edc8163728547c56780d9a277489013d1ded312a700fd0069

Observation 7a634872-8d33-4333-b913-debe1bed6a18 · outbound

This paper cites Tao and V.

Zeros of repeated derivatives of random polynomials Tao and V

Reference 22

Resolution
parse uncertain
raw_fallback, observed 2026-08-14T15:43:14.256962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:14.087812Z digest=sha256:d6b53783bdd68a4e07d4e7b14837b69ad9446accd2dccbb935f8446d8bce289c

Observation dce3220c-79a9-4692-928f-1f45d9fb3428 · outbound

This paper cites Shepp and R.

Zeros of repeated derivatives of random polynomials Shepp and R

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.226506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:14.096944Z digest=sha256:51d0b2d2e693207c3b7da1620abaead9e27672d84272bd321d0c4658704df0e0

Observation 6bffea91-3a87-4e29-b942-419682edb5ea · outbound

This paper cites Shiffman and S.

Zeros of repeated derivatives of random polynomials Shiffman and S

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:43:14.192522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T15:43:14.104799Z digest=sha256:59b9bfdfd3f47c955d2cb70783a0c74b89b66adefd2a7b971679252c63027075

Pith citing papers

No inbound Pith citation observations are available.