Paper Citation Record · LEDGER

Distribution of singular values in large sample cross-covariance matrices

As of 9 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 2 inbound Pith citation observations for arXiv:2502.05254.

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

pith.paper-citation-record.v1
2502.05254 v3

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T20:22:23.175839Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:14:24.369697Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T03:27:01.082214Z

Reference resolution

21 of 21 outbound references displayed

verified exact1
verified fuzzy14
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 50b609e8-ab90-4674-987f-d827760941b2 · outbound

This paper cites (A13), reduces to: h3z2pX 2 + h2z (pX (1 − pX ) +pX (1 − pX )) + h (1 − pX )(1 − pX ) − zpX 2 + p2 X = 0, (B1) and the discriminant (Eq.

Distribution of singular values in large sample cross-covariance matrices (A13), reduces to: h3z2pX 2 + h2z (pX (1 − pX ) +pX (1 − pX )) + h (1 − pX )(1 − pX ) − zpX 2 + p2 X = 0, (B1) and the discriminant (Eq

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.572953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a9f5a1ce-432b-48f2-93c5-12b60857a403 · outbound

This paper cites (A13) reduces to: αh3z2p2 X + h2zpX (α(1 − pX ) + (1− αpX )) + h (1 − pX )(1 − αpX ) − zαp2 X + αp2 X = 0.

Distribution of singular values in large sample cross-covariance matrices (A13) reduces to: αh3z2p2 X + h2zpX (α(1 − pX ) + (1− αpX )) + h (1 − pX )(1 − αpX ) − zαp2 X + αp2 X = 0

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.558344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1fefd629-7ad8-4eb4-a04a-2a41a29ba922 · outbound

This paper cites (A13) reduces to: αh3z2p2 X + h2zpX (α + 1) +h 1 − zαp2 X + αp2 X = 0.

Distribution of singular values in large sample cross-covariance matrices (A13) reduces to: αh3z2p2 X + h2zpX (α + 1) +h 1 − zαp2 X + αp2 X = 0

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.543552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 43dca6d9-c11b-4b6b-93b2-1c241005b055 · outbound

This paper cites Marchenko and L.

Distribution of singular values in large sample cross-covariance matrices Marchenko and L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.529075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c6bf4a25-f749-4465-8d6d-42ebbaccb81d · outbound

This paper cites Potters and J.-P.

Distribution of singular values in large sample cross-covariance matrices Potters and J.-P

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-08T20:22:23.098834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df088015-dc56-4639-a457-e9d7b7ea1b7b · outbound

This paper cites Bouchaud, L.

Distribution of singular values in large sample cross-covariance matrices Bouchaud, L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.504352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1c8cef1a-4e9f-490e-80f7-ccb64091f41b · outbound

This paper cites Benaych-Georges, J.-P.

Distribution of singular values in large sample cross-covariance matrices Benaych-Georges, J.-P

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.488796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c28286c4-8f74-4e79-afd5-5e36392473c7 · outbound

This paper cites Firoozye, V.

Distribution of singular values in large sample cross-covariance matrices Firoozye, V

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.474301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ec362700-b5aa-43da-8215-a70956341538 · outbound

This paper cites HOTELLING, Biometrika 28, 321 (1936), https://academic.oup.com/biomet/article-pdf/28/3- 4/321/586830/28-3-4-321.pdf.

Distribution of singular values in large sample cross-covariance matrices HOTELLING, Biometrika 28, 321 (1936), https://academic.oup.com/biomet/article-pdf/28/3- 4/321/586830/28-3-4-321.pdf

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.459546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 05fe79fb-8e80-41a4-8557-679d8487d3fd · outbound

This paper cites Wold, Multivariate analysis , 391 (1966).

Distribution of singular values in large sample cross-covariance matrices Wold, Multivariate analysis , 391 (1966)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.444632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8baa2f9e-939e-42cb-be67-1e3f1f82c19f · outbound

This paper cites an unresolved cited work.

Distribution of singular values in large sample cross-covariance matrices Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-08T20:22:23.429572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5e8256de-c645-44d5-938a-ec2ce15b6e8c · outbound

This paper cites an unresolved cited work.

Distribution of singular values in large sample cross-covariance matrices Unresolved cited work

Reference 12

Resolution: verified exact; raw_fallback, observed 2026-08-08T20:22:23.299054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cb6947a3-22cc-4a1f-aa1f-c21daf1c4fc9 · outbound

This paper cites Fleig and I.

Distribution of singular values in large sample cross-covariance matrices Fleig and I

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-08T20:22:23.137119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a3a0f36-ec9d-4207-8f34-a2e4203d689c · outbound

This paper cites an unresolved cited work.

Distribution of singular values in large sample cross-covariance matrices Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-08T20:22:23.405244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 292f7725-3444-4c33-a637-522937872f45 · outbound

This paper cites Burda, A.

Distribution of singular values in large sample cross-covariance matrices Burda, A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.390665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9c60fa55-4b78-4b27-97fb-cdbadd9b855b · outbound

This paper cites an unresolved cited work.

Distribution of singular values in large sample cross-covariance matrices Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-08T20:22:23.375384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b2479ae1-c8bb-44be-9951-cb5c1cffadc0 · outbound

This paper cites Spectral density of products of Wishart dilute random matrices. Part I: the dense case.

Distribution of singular values in large sample cross-covariance matrices Spectral density of products of Wishart dilute random matrices. Part I: the dense case

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-08T20:22:23.155563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bc90e9d-32d5-4fb1-948c-b0b80efd10fd · outbound

This paper cites Benigni and S.

Distribution of singular values in large sample cross-covariance matrices Benigni and S

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.359996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e7639dce-010c-4777-a4d1-997ed2315eb6 · outbound

This paper cites Pennington and P.

Distribution of singular values in large sample cross-covariance matrices Pennington and P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.345068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 705ce36d-80de-4923-8da6-eb1c13ec35b8 · outbound

This paper cites Abdelaleem, A.

Distribution of singular values in large sample cross-covariance matrices Abdelaleem, A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.330220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7aac38f8-1839-49b4-81d7-b2e7795168a1 · outbound

This paper cites Voiculescu, in Operator Algebras and their Con- nections with Topology and Ergodic Theory , edited by H.

Distribution of singular values in large sample cross-covariance matrices Voiculescu, in Operator Algebras and their Con- nections with Topology and Ergodic Theory , edited by H

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T20:22:23.315177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation 656c1a80-2290-4e82-baf8-59be3b786064 · inbound

Accurate Estimation of Mutual Information in High Dimensional Data cites this paper.

Accurate Estimation of Mutual Information in High Dimensional Data Distribution of singular values in large sample cross-covariance matrices

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-07T12:14:24.369697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0cdfe92b-c9bd-4760-981c-8e4fd1ae14e9 · inbound

Better Together: Cross and Joint Covariances Enhance Signal Detectability in Undersampled Data cites this paper.

Better Together: Cross and Joint Covariances Enhance Signal Detectability in Undersampled Data Distribution of singular values in large sample cross-covariance matrices

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-19T03:27:01.085842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.