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Paper Citation Record · LEDGER

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices

As of 22 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2509.03252.

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

pith.paper-citation-record.v1
2509.03252 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:46:37.439377Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

17 of 17 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a28e7544-ce19-4505-beea-0d277eec4ac7 · outbound

This paper cites Bordenave, D.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Bordenave, D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:46:37.718524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.364771Z digest=sha256:133d87f08cd04c44b131c18f08e69fb7c63a6d4a8d7e158bac816f46380c7c36

Observation 61c903ea-77fc-4a9e-9eeb-2fec27696c1e · outbound

This paper cites Dubach and J.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Dubach and J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:46:37.704726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.371194Z digest=sha256:331bc7d9a369f5937afd5546111a6ba7142a13724447dc47368049ffd7cbc2c5

Observation 3f57de3e-df01-4350-a25d-465703adeaef · outbound

This paper cites an unresolved cited work.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:46:37.690932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.375914Z digest=sha256:fce0d070207f8f082a4f7282cf2ebb3dc3638aa21584c920a84a1f58c37963a1

Observation 5869f7b2-29fd-451c-8cea-6fc3286675f5 · outbound

This paper cites an unresolved cited work.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:46:37.677349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.380653Z digest=sha256:180bd54efedcd42f72aea41e8c064c64628119de255ba37be4eeed3d91755d35

Observation 71d64d5d-a708-46f8-9c55-29ff8de0830d · outbound

This paper cites an unresolved cited work.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:46:37.664009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.385195Z digest=sha256:6f8883935cfb735114c331da119d759a1ea2ff9b924873d02e163688eff8381b

Observation ab2a001d-0db5-4e61-8639-8515838c5ee0 · outbound

This paper cites Zeros of conditional Gaussian analytic functions, random sub-unitary matrices and q-series.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Zeros of conditional Gaussian analytic functions, random sub-unitary matrices and q-series

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:46:37.483166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.389637Z digest=sha256:1ae7288a64529e282cdb9e32c9069ee5ff9ebcdd37a4c3bdf546a50d745d06fe

Observation f3fc2c73-0b3c-4220-b2f0-ad7fc78b5407 · outbound

This paper cites an unresolved cited work.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:46:37.650820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.395052Z digest=sha256:7cee58061f3c1c9d899f0f69d5519d7164d4d61cc09d5fd0006f4c76f9acb534

Observation 267eb156-463b-42be-91b2-08763ea8c110 · outbound

This paper cites Hiai and D.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Hiai and D

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:46:37.636469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.399540Z digest=sha256:ce64c41df78e84b781d7469ac3b54dc08ddf0a4c89368a2e87f2abe15b1d4440

Observation 848245e8-9ef3-45a2-8032-1fe8746e7719 · outbound

This paper cites 51, American Mathematical Society, Providence, 2009.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices 51, American Mathematical Society, Providence, 2009

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:46:37.622072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.403848Z digest=sha256:bdd092fc5d27ad0ee3c943f20d2c5cd0882b3c3a489bdfaf0161d05e8bf15c60

Observation f67d5bb7-91a1-4b0f-8910-ba911c8e69ce · outbound

This paper cites Jost,Partial differential equations, Graduate Texts in Mathematics, Springer, New York, 2007.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Jost,Partial differential equations, Graduate Texts in Mathematics, Springer, New York, 2007

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:46:37.607398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.408445Z digest=sha256:35bbda1762c6521fc8a502ea878ef9d3d15b3f1c558ee474724597b79bdfbb2f

Observation bfee58fa-4aa8-49f4-b71a-a12c4e761775 · outbound

This paper cites an unresolved cited work.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:46:37.591019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.412870Z digest=sha256:af6cda5b7210207bed762720d3ef16a509d5cc26992229723ae9bfb73735d732

Observation 0d409b99-4e20-416d-9d6d-4687bcdd2e87 · outbound

This paper cites Kallenberg,Random measures, theory and applications, in: Probability Theory and Stochastic Modelling, vol.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Kallenberg,Random measures, theory and applications, in: Probability Theory and Stochastic Modelling, vol

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:46:37.576400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.417418Z digest=sha256:934ba38d28b73d0be359154e9f70b1eb8070158ce189bc5c7f00eea30b468bbb

Observation 2dd09dd6-f13d-4cf8-9750-7fed23702f47 · outbound

This paper cites Krishnapur,From random matrices to random analytic functions, The Annals of Probability37 (2009), no.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Krishnapur,From random matrices to random analytic functions, The Annals of Probability37 (2009), no

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:46:37.560920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.421833Z digest=sha256:43d1b0dfe5876ba32f214be7548332d9ab4956ef3369595c5f455168e27f818a

Observation 522d7f81-03d2-4781-8361-000aba4c4389 · outbound

This paper cites an unresolved cited work.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:46:37.545365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.426345Z digest=sha256:7db6620c199d409269d6e512223b66619a69dea6a84db15c1f6425a76fd0940b

Observation f4d632a6-cc38-4d45-93e2-72389916fd38 · outbound

This paper cites Nica and R.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Nica and R

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:46:37.530251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.430773Z digest=sha256:0b2094a9ca99c92fce7a78a4899693d9d499e39a3975bd867c32b742068db04c

Observation ac76183a-fd42-401c-9805-cf437f394df7 · outbound

This paper cites Shirai,Limit theorems for random analytic functions and their zeros, Bulletin of the American Mathe- matical Society 32 (1995), 1–37.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices Shirai,Limit theorems for random analytic functions and their zeros, Bulletin of the American Mathe- matical Society 32 (1995), 1–37

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:46:37.513986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.435065Z digest=sha256:27513be35a99a9879e58b0526ddd8c426e4ac3fe7326ec36b8b89eedc1dbf8f1

Observation e1c1597b-6d28-4ba9-9013-9c9cee01cb83 · outbound

This paper cites 1, 231–263.

Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices 1, 231–263

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:46:37.498379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:46:37.439377Z digest=sha256:911e83eb643547b396be9502d4d13a6f222e4905d15cabba027f79437d777aad

Pith citing papers

No inbound Pith citation observations are available.