Paper Citation Record · LEDGER

Local Statistics of Singular Values for Products of Truncated Unitary Matrices

As of 14 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2506.14193.

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

pith.paper-citation-record.v1
2506.14193 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:26:34.910539Z

measured 33 of 33 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:01:33.032451Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T19:01:33.116411Z

Reference resolution

32 of 32 outbound references displayed

verified exact0
verified fuzzy6
unresolved26
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e0f5889e-9aba-462e-81c2-13237e9a0fea · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.826512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1aaf20c8-a20b-467c-923f-193011f0d999 · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:26:35.203582Z

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.

Observation 4610e475-eff6-4d5f-a6b6-baa28e24cdfe · outbound

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

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Journal of Physics A 47(39), 395202, 35 (2014)

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.832723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df26b734-2025-4d38-97bb-f8c5e536cd9a · outbound

This paper cites EPL (Europhys.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices EPL (Europhys

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.835618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1072739-8cb2-42d3-ae3f-4e9ca08f9cc8 · outbound

This paper cites Acta Phys.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Acta Phys

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:35.178220Z

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.

Observation 928df98a-06de-4254-9f17-64567f0481aa · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:26:35.168334Z

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.

Observation 48848f53-b33f-4dda-a0c3-edca0f82c6f4 · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.844001Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 630396f9-5ee8-4687-a984-951a8258573e · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:26:35.151608Z

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.

Observation da97057d-9467-43e6-bda5-67dcb66a8655 · outbound

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

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Cam- bridge Studies in Advanced Mathematics 118

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.849379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b584d51-1b72-4594-91ed-02b277a053c6 · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:26:35.135070Z

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.

Observation 34a347fe-c02f-4175-bcac-204632daad91 · outbound

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

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Last-passage percolation and product-matrix ensembles

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.854446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbe69a95-c813-4e3f-9898-d40c507b83eb · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:26:35.125705Z

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.

Observation 38d6f165-bc40-49c4-8599-e60a60a4e10b · outbound

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

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Springer Series in Solid-State Sciences 104

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.860410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 874d7752-d49b-49b2-9476-aee315e1c2f9 · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:26:35.108404Z

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.

Observation fc2c2cbb-84a7-4092-a2ee-309bfb0246fe · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:26:35.098773Z

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.

Observation 8c1f71ad-89ca-4e10-90d8-61789981c53a · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.868155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf391878-6279-4db1-9c77-be844926a4ed · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:26:35.081302Z

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.

Observation e67cd9ad-1061-418d-bcaf-b234e55334b7 · outbound

This paper cites In Operator Algebra and Dynamics 157–186.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices In Operator Algebra and Dynamics 157–186

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:35.070569Z

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.

Observation 6d60c0fd-caef-4973-a0b3-d7ac8c586bd0 · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:26:35.059808Z

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.

Observation e8ca892e-c36c-4f50-bc77-edf1f3e278d6 · outbound

This paper cites Global Universality of Singular Values in Products of Many Large Random Matrices.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Global Universality of Singular Values in Products of Many Large Random Matrices

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.879702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ca8092e-6fdf-46bc-9f10-d4f7555592ac · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.882669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a015d96-7048-403e-8d11-b05bb0538b8b · outbound

This paper cites and Stivigny, D.: Singular value statistics of matrix products with truncated unitary matrices.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices and Stivigny, D.: Singular value statistics of matrix products with truncated unitary matrices

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:35.042646Z

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.

Observation 2ea3c1ea-aea0-4960-99ca-134cf79dd9ef · outbound

This paper cites Random Matrices Theory Appl.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Random Matrices Theory Appl

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:35.031777Z

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.

Observation d043a91e-ce4d-4139-82e0-38684dc701ef · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.890603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14d1ea8a-2db7-4ca7-8479-8530d2416dc5 · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.893053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd65c733-f896-47bd-8ca7-0b583b0100fa · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.895757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 467f9152-d5a3-4d36-a027-f6cc143f60bc · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.898234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d3b1931-a48b-41f1-b0b8-45ef48df5c1e · outbound

This paper cites Fields Institute Mono- graphs 35.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Fields Institute Mono- graphs 35

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.900899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a750ea60-ffe4-47e1-8a6b-041dcf41f499 · outbound

This paper cites Random Matrices Theory Appl.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Random Matrices Theory Appl

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:34.984761Z

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.

Observation f64474ae-5a60-40d8-b1c0-f16e8539fb2d · outbound

This paper cites Random Matrices Theory Appl.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Random Matrices Theory Appl

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:26:34.975305Z

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.

Observation 68218da4-39c7-429e-8abf-42d73c3e3801 · outbound

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

Local Statistics of Singular Values for Products of Truncated Unitary Matrices (eds.): NIST handbook of math- ematical functions

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T00:26:34.908092Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cb733d0-44ee-4a94-988c-fae11417fb8f · outbound

This paper cites an unresolved cited work.

Local Statistics of Singular Values for Products of Truncated Unitary Matrices Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:26:34.958487Z

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.

Pith citing papers

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

Edge statistics for singular values of products of rectangular complex Ginibre matrices cites this paper.

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.