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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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

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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 2026-08-14T06:32:32.682623+00:00.

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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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:01:32.987904Z digest=sha256:ed9192a46552ddb701b4f811a9c73b55a53fd92288bbf9f9e4347e75d1a41b1f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:01:32.992868Z digest=sha256:7e0f7c02066bc52801189e9db290d967c821fd6657ba9880b749347e4616269f

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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:01:33.004394Z digest=sha256:0f0b3341c89efb11bef5e3c63f6ae2865b6a3e6886d95fb32a488ea61cae7843

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:01:33.016488Z digest=sha256:5ef4131bf656840dd1b65fba23283291be266b8ace5e86a4e0ea5e9820fb2a1e

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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:01:33.026585Z digest=sha256:3b8273234c3e47d85db7aa7fcd71e1e3639050e1bc387bc47cfd008d3287f666

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:01:33.032451Z digest=sha256:4c71d45d58c742569b2914806fb54dd7baedff624269d470ca4a776c99142548

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:01:33.038924Z digest=sha256:6aafa52a4785ce42bba629bed1eeb629babb446490497922cf66ef98129bb24a

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 2026-08-14T06:32:32.682623+00:00.

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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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:01:33.047742Z digest=sha256:538645e6fa797c7016ee440e4e152e1a291a5ab42f4e98e6ea3b78cc749789fd

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:01:33.053114Z digest=sha256:b0cf6b03eccaae07adb49b603007112ad5d5d0764d72c28d6c49bb6c445cd641

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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:01:33.062463Z digest=sha256:5ecfe2d944785367ba88f6d2cfd608d0891b5e7307f6d6897c2eaf60b21716e2

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 2026-08-14T06:32:32.682623+00:00.

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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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T19:01:33.072652Z digest=sha256:e81c2e47051e5b489a83d0deab384c997e29387dec0da895f80384cf8fa681c8

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 2026-08-14T06:32:32.682623+00:00.

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Pith citing papers

No inbound Pith citation observations are available.