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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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:01:32.992868Z digest=sha256:22d4cdd8727f39e2ab4fcfbc2637aeb0a35ca4e4ea0ee5862236e010f0baae61

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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:01:33.004394Z digest=sha256:1b45e5c269ec4fb2b16387c70ada5922971d0cde57e26c900ea5bea84ac7116b

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=sha256:83513ccaf4fdb4d26a70b1cc206bcba97b117684ff8b57e97c6a303d2f6ade82

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:01:33.016488Z digest=sha256:e0accfb6df239010579c5dc4eea40b733c1ed9ae7736da61b116b8ff1fabccb0

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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:01:33.026585Z digest=sha256:966815da5cb4795410f6a4084fa96686ff9cee7bd40ae2c06c62b9576c8c3e6d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:01:33.032451Z digest=sha256:73f4b366ce3db3bc700d733a68f834ee1b94af7589709200b9783fd8484a0a47

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:01:33.038924Z digest=sha256:0874d105c5ce52b8d1f8126aa0ce1f83dba5b6318a7012747e756e3473f0c3d5

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:01:33.043453Z digest=sha256:54269ce6fd6e7d3600f5cd3717012b0417421aeac0aa22fb580ded889e98ccee

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:01:33.047742Z digest=sha256:3f82f46b451212fbe5f4e40daa1b7c4fcdb4f547fc79779da13b7088ad08005a

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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:01:33.062463Z digest=sha256:5f0b314bd41d5b2715904ed96ceb7163e74b44800e9aa4bccd1bae6da9b2f6c7

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:01:33.067552Z digest=sha256:ff59de0bbb25cfd6547c00e00f902978c1b9ee0062cf8267f7a5953302cf1113

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:01:33.072652Z digest=sha256:f4090371f77b1712fae89622d72477ad92e810520ca7c67846eef93d3b0f42e9

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 2026-08-18T06:34:40.430872+00:00.

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Pith citing papers

No inbound Pith citation observations are available.