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Paper Citation Record · LEDGER

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

As of 14 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:32.977608Z digest=sha256:12dda7ad6c4d6111cd2e2995e7c2fe8719198a0e5f15ed5e2c0120635836a8ef

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:32.983026Z digest=sha256:ad5f1a3b2c3eb881d3b477caf13267e36ceb956c5632e9bdf67d49afc6f21b63

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:32.987904Z digest=sha256:63c8ac4b193f7a0a0f5e339d076a3703ba4692d213edcd374adc515eb82a2089

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:32.992868Z digest=sha256:443122e3ba5b723d0b8e634617bd604667d24f1919889b28c139a5f871d21940

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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:33.004394Z digest=sha256:ca6cbbf5e02fce8c06c4b36ec8e0e6d5052173d0d023163fc276141174c6167c

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=sha256:5b687e555aca77c387d7711c9dde59d0c3b402d987f2056bf07af9b104f9c3db

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:33.016488Z digest=sha256:e86443dfd75122ff9419496ae5856c995b5d2ccd10832ae4bb7b050b38668027

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:33.026585Z digest=sha256:90b8d75c7287441b780c5f29f3875465213ddc8d6c8d134e756fba5f0a4396ec

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:33.032451Z digest=sha256:67b6e4f10bf6d70984517fa02726a15144d0a1098d22c8e2948bd6be6e02f7da

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:33.038924Z digest=sha256:16aea52cedc3fe690bd83b7e3f51f82308ad94621bd44b3df98d5dac935edfef

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:33.043453Z digest=sha256:187a491fb8b135259319180b998ccaffedce47eb759111f2391e9e6182e88fe5

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:33.053114Z digest=sha256:e65456ec64242acf1ad0742ee3dcba66d878b9b67dabe6a5b75946ae7fa6cbc1

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:33.062463Z digest=sha256:1659e70b2cd44f3c2d79f4637392dbd2cea44db499616e217986e1529ed21d3c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:33.067552Z digest=sha256:65d210b142dd45ce398181892485f067742ae5b7766e35637441fcd2a2430275

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:01:33.072652Z digest=sha256:b0c1bcea9947be3ad5a872763adc19ffa22db7a4e76424ed123a6fb5873c423a

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 2026-08-13T06:32:02.005865+00:00.

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Pith citing papers

No inbound Pith citation observations are available.