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Paper Citation Record · LEDGER

Edge statistics for singular values of products of rectangular complex Ginibre matrices

As of 19 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2507.07431.

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

pith.paper-citation-record.v1
2507.07431 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:01:33.077416Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 11378b5a-a637-4202-ab02-d404c575ed02 · outbound

This paper cites an unresolved cited work.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:01:33.429028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:32.972679Z digest=sha256:23b75ad5024e74d2f5bbf25dc815fa044acbe61014928ca90bf8238210afe3c8

Observation f0ac18eb-ac99-4974-adeb-654692a196a5 · outbound

This paper cites an unresolved cited work.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:01:33.410326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:32.977608Z digest=sha256:47d505b0aed12f7766c5d43f665718f49e997f618df79a95db16f27053d779c1

Observation 7c2a8a77-f7e6-4575-873f-887930545364 · outbound

This paper cites Journal of Physics A 47(39), 395202, 35 (2014).

Edge statistics for singular values of products of rectangular complex Ginibre matrices Journal of Physics A 47(39), 395202, 35 (2014)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:01:33.391583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:32.983026Z digest=sha256:c96b949d5f9aa08cfbb319ab06223a6b3b315d641c9b4a7bf935c76a11760a52

Observation d17bc2df-010f-4860-8868-f538ec582683 · outbound

This paper cites EPL (Europhys.

Edge statistics for singular values of products of rectangular complex Ginibre matrices EPL (Europhys

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:01:33.376540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:32.987904Z digest=sha256:1210da6126a8e02ecb2fcfbf4ad9ee815c48017c34de57f70bb8fcefbf522f27

Observation 8022c097-3e66-412f-b236-c153124e67f7 · outbound

This paper cites an unresolved cited work.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:01:33.360847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:32.992868Z digest=sha256:ad205bf330bce1903ddf63648b0881492555b43da1ca012a456395d9188d98f3

Observation 473ace62-60ee-4786-b5ae-46a671195926 · outbound

This paper cites Cam- bridge Studies in Advanced Mathematics 118.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Cam- bridge Studies in Advanced Mathematics 118

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:01:33.344130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 5717b58a-959d-4c19-9c55-84b48e919c6b · outbound

This paper cites an unresolved cited work.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:01:33.329980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:33.004394Z digest=sha256:674b3a1a6e91e31bf342e47b2ec118c26ea29faf29c325b8ceb0e72d7d230fef

Observation 11906a98-f2ff-4562-93d4-7316cf9818a0 · outbound

This paper cites Last-passage percolation and product-matrix ensembles.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Last-passage percolation and product-matrix ensembles

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T19:01:33.011248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:01:33.011248Z digest=sha256:0fb2d7847980a0dd398dcaed7f12b892407ebe5510b35feda7dd86b671ce143a

Observation 409e9993-acef-4463-98c5-ad9d3388ccaf · outbound

This paper cites Springer Series in Solid-State Sciences 104.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Springer Series in Solid-State Sciences 104

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:01:33.315545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:33.016488Z digest=sha256:e3935dfabd96ca9afe992ab8296cfad283a7b62697d254aa7bb3d9ace3635139

Observation 22506d47-eec3-4517-b0a3-c3c70b57c7ad · outbound

This paper cites an unresolved cited work.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:01:33.302628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:33.021093Z digest=sha256:07182d32f01e3a183846bedfdb5a8eb2d3a6e08444ae0330b8aeb7460b92436d

Observation 0dd6dd6d-d19b-403e-bff9-59d68d675197 · outbound

This paper cites an unresolved cited work.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:01:33.289286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:33.026585Z digest=sha256:a3f2f331e84f839959f8177dbc4e9d44d8806800910b9df1b482ba479cf7c8e8

Observation 63096c39-5b25-42df-80b4-022f17bd5eed · outbound

This paper cites Local Statistics of Singular Values for Products of Truncated Unitary Matrices.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Local Statistics of Singular Values for Products of Truncated Unitary Matrices

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:01:33.123534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:33.032451Z digest=sha256:ca8c8d1cdfac2bf9181fa75ea4eeadd5571d272abc2570dd74d63f971dfaed42

Observation 25ead6a8-bc6b-4191-b9c4-eb117042de71 · outbound

This paper cites an unresolved cited work.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:01:33.276305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:33.038924Z digest=sha256:1121a6d51ea9389dafdf4847e89cadb8899869a2c3352b76dee719b6a2f6c56b

Observation bead05b1-9333-41d3-a841-72041622c13a · outbound

This paper cites an unresolved cited work.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:01:33.263307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:33.043453Z digest=sha256:96ffc76cd45e84bf41b25c55a37668a09649283dd9f3feb1f9702a54605bb364

Observation 86727c4f-7bd7-4a0c-bcf4-dca7bc29c59c · outbound

This paper cites an unresolved cited work.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:01:33.250213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:33.047742Z digest=sha256:b43bc523f0e2766e33f924aca1d4d4912a2b5b5c881cf6252c32201a0e3f671d

Observation 591fa5c7-02d1-4469-9f65-03a3d4b39cde · outbound

This paper cites an unresolved cited work.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:01:33.236178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:33.053114Z digest=sha256:d08da0537b31cfb9859b5a9b2040b2d4e6bcfef8db024494c90bb54c1c695df4

Observation 2cdcec54-e384-4c00-8f1e-2a95c55f1ddc · outbound

This paper cites an unresolved cited work.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:01:33.219461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:33.057501Z digest=sha256:a4bc7d2de606530ea7cf07bf21cb57c75f2b917cebe5f2f2b5ba5f8748968ff4

Observation c2ab5fc1-c68b-44cd-b37a-aba6bcf82cd5 · outbound

This paper cites Fields Institute Mono- graphs 35.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Fields Institute Mono- graphs 35

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:01:33.205258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:33.062463Z digest=sha256:cc045ddf236de9f4d2b66719721a73cc3b7a5a558ae0282ed8f1c6d5f931e0b4

Observation 15a76f4c-ada3-4681-b47f-6ea22dd1f6b0 · outbound

This paper cites (eds.): NIST handbook of math- ematical functions.

Edge statistics for singular values of products of rectangular complex Ginibre matrices (eds.): NIST handbook of math- ematical functions

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:01:33.189761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:33.067552Z digest=sha256:c55cae3e423aee7d8521bf46de232bb974ece87321795cb8b4fb283ebf35c1ae

Observation d030cfbe-adca-48de-b350-8ea7a13af7ca · outbound

This paper cites an unresolved cited work.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:01:33.175558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:01:33.072652Z digest=sha256:d08ec3db14b620e3ffad8f12bf9e63d13eeffb4d9cb2ddcbc1d7afc10dece56f

Observation 3b840d62-858b-466b-afe8-0769d36eb1ea · outbound

This paper cites an unresolved cited work.

Edge statistics for singular values of products of rectangular complex Ginibre matrices Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:01:33.160400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Pith citing papers

No inbound Pith citation observations are available.