Paper Citation Record · LEDGER

Repeated singular values of a random symmetric matrix and decoupled singular value estimates

As of 20 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 2 inbound Pith citation observations for arXiv:2504.15992.

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

pith.paper-citation-record.v1
2504.15992 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:18:35.950200Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-23T01:08:13.915792Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T01:12:21.467484Z

Reference resolution

37 of 37 outbound references displayed

verified exact1
verified fuzzy21
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8dd0b1b3-c973-4bce-97ba-af1a4985fbae · outbound

This paper cites Extreme gaps between eigenvalues of Wig ner matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Extreme gaps between eigenvalues of Wig ner matrices

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:18:37.996497Z

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Observation 7030e257-4dcf-4222-9622-a991b125a27d · outbound

This paper cites Fixed energy universality for gene ralized Wigner matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Fixed energy universality for gene ralized Wigner matrices

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:18:37.931749Z

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Observation faab2a31-831c-490c-a478-0aa1b36c263f · outbound

This paper cites On the singularity of random symme tric matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates On the singularity of random symme tric matrices

Reference 3

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Observation 83f64423-5b56-453c-aef6-b63588f54589 · outbound

This paper cites Singularity of random symmetric m atrices revisited.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Singularity of random symmetric m atrices revisited

Reference 4

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Observation 207131c3-31e9-49e0-b9f7-433f34cd7682 · outbound

This paper cites The least singular value of a rando m symmetric matrix.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates The least singular value of a rando m symmetric matrix

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:18:37.759751Z

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Observation 7f4ce699-5a1d-4ff1-96dd-322d464892b1 · outbound

This paper cites The singularity probability of a r andom symmetric matrix is exponentially small.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates The singularity probability of a r andom symmetric matrix is exponentially small

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:18:37.748469Z

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Observation e8a47ed6-baae-472f-8890-340f6438e520 · outbound

This paper cites Eigenvalue gaps of the Laplacian of random graphs.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Eigenvalue gaps of the Laplacian of random graphs

Reference 7

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Observation 9043e5af-7c17-42e0-8c58-84485b458b35 · outbound

This paper cites Gaps between Singular Val ues of Sample Covariance Matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Gaps between Singular Val ues of Sample Covariance Matrices

Reference 8

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Observation ed7a3536-1fe8-411b-b8f8-256aa0a0f376 · outbound

This paper cites Eigenvector decorrelation fo r random matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Eigenvector decorrelation fo r random matrices

Reference 9

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Observation d630201d-b172-493b-9881-1e0f71a97515 · outbound

This paper cites Random symm etric matrices are al- most surely nonsingular.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Random symm etric matrices are al- most surely nonsingular

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T11:18:35.427921Z

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Observation a15dac25-e57d-4580-8523-4c551f0a4c55 · outbound

This paper cites Universality of Wigner random matrices: a survey of recent results.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Universality of Wigner random matrices: a survey of recent results

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:18:37.731058Z

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Observation 95c646c8-0e0a-4c90-81a9-f7deb2f9b84a · outbound

This paper cites Wegner estimate and level re- pulsion for Wigner random matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Wegner estimate and level re- pulsion for Wigner random matrices

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:18:37.597604Z

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Observation 85a98696-fecc-43b5-94f4-61eea091bf84 · outbound

This paper cites Rigidity of eigenvalues of generalized Wigner matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Rigidity of eigenvalues of generalized Wigner matrices

Reference 13

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Observation 7350cd3b-d6a4-4460-8472-a2aabc1c58d7 · outbound

This paper cites On the Kolmogorov-Rogozin ineq uality for the concentration function.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates On the Kolmogorov-Rogozin ineq uality for the concentration function

Reference 14

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Observation 66d2539f-c541-4888-8de7-f694b987d33d · outbound

This paper cites A universality result for the smallest eigenvalues of certain sample covariance matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates A universality result for the smallest eigenvalues of certain sample covariance matrices

Reference 15

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Observation de1c3b8c-3d25-45ad-81c2-ca5652b71079 · outbound

This paper cites Singularity of random sy mmetric matrices—a com- binatorial approach to improved bounds.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Singularity of random sy mmetric matrices—a com- binatorial approach to improved bounds

Reference 16

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Observation df707414-e1a3-46df-8b4c-c6cf73874046 · outbound

This paper cites Large deviations for the largest eigenvalue of Rademacher matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Large deviations for the largest eigenvalue of Rademacher matrices

Reference 17

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Observation 456755b6-cda0-43b9-abf9-e5ce0e4efe21 · outbound

This paper cites Simplicity of singular value spectrum of random matrices and two-point quantitative invertibility.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Simplicity of singular value spectrum of random matrices and two-point quantitative invertibility

Reference 18

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Observation 7b94bbbe-86ca-41e1-8a9e-d84a4ddd9e1a · outbound

This paper cites Small ball probability for multiple singular values of symmetric random matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Small ball probability for multiple singular values of symmetric random matrices

Reference 19

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Observation 9e10a51c-0f87-4449-998f-4f920c70588f · outbound

This paper cites A bound on tail probabilit ies for quadratic forms in independent random variables.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates A bound on tail probabilit ies for quadratic forms in independent random variables

Reference 20

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Observation 1b38f41e-221d-4d7d-9330-d4babdd2b7a5 · outbound

This paper cites On the s mallest singular value of symmetric random matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates On the s mallest singular value of symmetric random matrices

Reference 21

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Observation a818534e-679d-4dd5-9125-e0923635c0ae · outbound

This paper cites The smallest singular value of heav y-tailed not necessarily iid random matrices via random rounding.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates The smallest singular value of heav y-tailed not necessarily iid random matrices via random rounding

Reference 22

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Observation dab131d8-c930-46f6-b97a-de7b5dd82e3c · outbound

This paper cites Tail bounds for gaps betw een eigenvalues of sparse random matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Tail bounds for gaps betw een eigenvalues of sparse random matrices

Reference 23

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Observation 9b06fbfd-a352-4ad3-bfac-853a5c7ab15a · outbound

This paper cites Sparse random matrices have simple spectrum.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Sparse random matrices have simple spectrum

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:18:36.671638Z

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Observation 04a56a1e-9eef-4ea8-8585-1a0fa95e7d59 · outbound

This paper cites Random matrices: t ail bounds for gaps be- tween eigenvalues.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Random matrices: t ail bounds for gaps be- tween eigenvalues

Reference 25

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Observation 57d5940a-f909-408a-87df-cacf3130b451 · outbound

This paper cites Inverse Littlewood-Oﬀord problems and t he singularity of ran- dom symmetric matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Inverse Littlewood-Oﬀord problems and t he singularity of ran- dom symmetric matrices

Reference 26

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Observation 35e86928-3a9d-4300-8454-6a592595213f · outbound

This paper cites No-gaps delocaliz ation for general random matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates No-gaps delocaliz ation for general random matrices

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-16T11:18:35.722461Z

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Observation 5db0f931-ca1c-4968-b707-a78358a769d0 · outbound

This paper cites Smallest singular value of a random rect- angular matrix.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Smallest singular value of a random rect- angular matrix

Reference 28

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Observation e118e1aa-87fb-4548-9376-d6dd97aac979 · outbound

This paper cites The Littlewood–Oﬀo rd problem and invert- ibility of random matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates The Littlewood–Oﬀo rd problem and invert- ibility of random matrices

Reference 29

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Observation 0a9f1ade-71cf-4587-b174-115f484245bc · outbound

This paper cites Random matrices have simple spe ctrum.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Random matrices have simple spe ctrum

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:18:36.626336Z

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Observation e586d697-38b6-48a1-8792-e612b80b4e24 · outbound

This paper cites Random matrices: Universality of local eigenvalue statistics up to the edge.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Random matrices: Universality of local eigenvalue statistics up to the edge

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:18:36.495211Z

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Observation 1d1f50f8-f908-4fbc-8613-0fa51cbb7160 · outbound

This paper cites Singularity of random Bernou lli matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Singularity of random Bernou lli matrices

Reference 32

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Observation 1305582c-a335-4e34-9376-1d8d447aac88 · outbound

This paper cites High-dimensional probability.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates High-dimensional probability

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:18:36.367438Z

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Observation 95a62aaf-5d59-4d36-abf1-cbb5fbe9c5d3 · outbound

This paper cites Invertibility of symmetric random m atrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Invertibility of symmetric random m atrices

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:18:36.356124Z

Source-reported events for the cited work

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Observation 506bd9db-2922-4049-9279-fb7fa49a0d75 · outbound

This paper cites Recent progress in combinatorial random mat rix theory.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates Recent progress in combinatorial random mat rix theory

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:18:36.343815Z

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Observation 27734194-8ffa-4610-8b15-002853e81ef7 · outbound

This paper cites On the distribution of the roots of cer tain symmetric matrices.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates On the distribution of the roots of cer tain symmetric matrices

Reference 36

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Observation d6a31a70-da85-42b0-8cbb-68d753800c27 · outbound

This paper cites A bound on tail probabilities for quadrat ic forms in independent ran- dom variables whose distributions are not necessarily symm etric.

Repeated singular values of a random symmetric matrix and decoupled singular value estimates A bound on tail probabilities for quadrat ic forms in independent ran- dom variables whose distributions are not necessarily symm etric

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:18:36.200942Z

Source-reported events for the cited work

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Pith citing papers

Observation 0ed3fc30-d220-4476-b42a-a77b6787a678 · inbound

The eigenvalue gap of inhomogeneous symmetric discrete random matrix cites this paper.

The eigenvalue gap of inhomogeneous symmetric discrete random matrix Repeated singular values of a random symmetric matrix and decoupled singular value estimates

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-23T01:12:21.469859Z

Source-reported events for the cited work

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Observation 8b58ace3-9e3a-4c6d-9c9f-4f6acfb9d9ab · inbound

On the rank of a random symmetric matrix in the large deviation regime cites this paper.

On the rank of a random symmetric matrix in the large deviation regime Repeated singular values of a random symmetric matrix and decoupled singular value estimates

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-19T12:02:16.719942Z

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