Paper Citation Record · LEDGER

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory

As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.03462.

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

pith.paper-citation-record.v1
1908.03462 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:22:30.190796Z

measured 28 of 28 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

28 of 28 outbound references displayed

verified exact0
verified fuzzy24
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f5dc4ee2-524b-493e-8763-3c3ec3308222 · outbound

This paper cites an unresolved cited work.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:22:30.910970Z

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.

Observation 29b0f433-8e8d-478e-adba-21212c330b1a · outbound

This paper cites Bhatia, Matrix Analysis , Berlin, Germany: Springer Science & Business Media, 2013.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Bhatia, Matrix Analysis , Berlin, Germany: Springer Science & Business Media, 2013

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.892502Z

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.

Observation 7bc09da3-dd3c-4ac2-8884-69b145e8776e · outbound

This paper cites Signal-plus-noise matri x models: eigenvector deviations and ﬂuctuations,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Signal-plus-noise matri x models: eigenvector deviations and ﬂuctuations,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.873949Z

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.

Observation 81fa17ec-5c60-4616-bee7-6383050d6c84 · outbound

This paper cites The Rotation of Eigenvectors by a P er- turbation. III,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory The Rotation of Eigenvectors by a P er- turbation. III,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.854004Z

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.

Observation f065a1c5-dd1c-41b5-b0a3-2870ac769ecd · outbound

This paper cites Spectral Projector-Based Gra ph Fourier Transforms,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Spectral Projector-Based Gra ph Fourier Transforms,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.837328Z

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.

Observation 1b94478a-3f5b-43e3-acbb-5bd45496439a · outbound

This paper cites Learning Gra phs from Data: A signal representation perspective,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Learning Gra phs from Data: A signal representation perspective,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.818020Z

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.

Observation 766f43c5-c5f0-47ee-99a1-7239cfbe491d · outbound

This paper cites The geometry of algo rithms with orthogonality constraints,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory The geometry of algo rithms with orthogonality constraints,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.800138Z

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.

Observation 6578abf7-fe27-4cde-b96e-e67169fa13a4 · outbound

This paper cites Unperturbed: spectral analysis beyond Davis–Kahan,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Unperturbed: spectral analysis beyond Davis–Kahan,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.781824Z

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.

Observation a4255481-b774-409b-b275-2ccc427807b7 · outbound

This paper cites Large covariance estimati on by thresholding principal orthogonal complements,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Large covariance estimati on by thresholding principal orthogonal complements,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.764729Z

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.

Observation 2e518dd4-f4eb-4cb2-b2e4-4eb234daba67 · outbound

This paper cites an unresolved cited work.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:22:30.745964Z

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.

Observation 5c322bcc-f055-4d76-be59-e20a82a196e7 · outbound

This paper cites On the distribution of the largest eig envalue in prin- cipal components analysis,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory On the distribution of the largest eig envalue in prin- cipal components analysis,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.729630Z

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.

Observation afcea7dd-10f0-474d-95c9-6c1f04ad6bab · outbound

This paper cites PCA consistency in High Dimensio n Low Sample Size Context,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory PCA consistency in High Dimensio n Low Sample Size Context,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.705957Z

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.

Observation c09bcf54-66a4-46e6-a4bd-2836b636845d · outbound

This paper cites Graph Similarity based on Graph Fourier Distances,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Graph Similarity based on Graph Fourier Distances,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.537788Z

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.

Observation 2bf6f8da-65f8-4a67-832d-9106ec9bc32a · outbound

This paper cites Consistency of spectral clusterin g in stochastic block models,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Consistency of spectral clusterin g in stochastic block models,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.519910Z

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.

Observation 8f2f7472-75f0-44d6-abaf-e4ebf43254e0 · outbound

This paper cites an unresolved cited work.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:22:30.502994Z

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.

Observation dfacfe59-8c9e-4cec-99b1-97ca15ec31d0 · outbound

This paper cites Graph Signal Processing: Overview, Challenges, and Appli cations,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Graph Signal Processing: Overview, Challenges, and Appli cations,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.486536Z

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.

Observation cb232642-3c12-4c75-ac01-ab4fac4114cd · outbound

This paper cites Spectral clustering and the high- dimensional stochastic blockmodel,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Spectral clustering and the high- dimensional stochastic blockmodel,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.467697Z

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.

Observation 73a0483f-1e79-4d20-a596-a302a10eb3ae · outbound

This paper cites Random perturbation of low rank matrices: Improving classical bounds,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Random perturbation of low rank matrices: Improving classical bounds,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.448658Z

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.

Observation 43c4713f-11bd-4c84-bfea-5a0d620e1506 · outbound

This paper cites First-principles multiwa y spectral partitioning of graphs,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory First-principles multiwa y spectral partitioning of graphs,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.430032Z

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.

Observation 5b1a514c-a04e-4114-88f3-e598791a2aac · outbound

This paper cites The emerging ﬁeld of signal processing on graphs: Extendin g high- dimensional data analysis to networks and other irregular d omains,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory The emerging ﬁeld of signal processing on graphs: Extendin g high- dimensional data analysis to networks and other irregular d omains,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.410163Z

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.

Observation d0b8bd6a-6847-4673-9202-2a4ab37aff62 · outbound

This paper cites On Spectral Anal ysis of Node Centrality,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory On Spectral Anal ysis of Node Centrality,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.390754Z

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.

Observation b39c7ed6-edf7-4096-a532-134d64550c9d · outbound

This paper cites an unresolved cited work.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:22:30.371804Z

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.

Observation e60e61e4-7c9b-47a4-b3bc-1fe692f9ecf4 · outbound

This paper cites Limit Theorems for eigenvectors of the normalized Laplacian for random graphs,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Limit Theorems for eigenvectors of the normalized Laplacian for random graphs,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.350801Z

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.

Observation 3f734093-bda9-4dcf-959a-87962f6e4c89 · outbound

This paper cites A tutorial on spectral clustering,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory A tutorial on spectral clustering,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.330658Z

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.

Observation a4c84971-4141-49bd-b319-6e50351efa40 · outbound

This paper cites Minimax sparse principal subspace est imation in high dimensions,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Minimax sparse principal subspace est imation in high dimensions,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.312398Z

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.

Observation 2d8713fc-de44-48d6-bf56-e8c4e92f9359 · outbound

This paper cites Asymptotics of empirical eigenstruct ure for high dimensional spiked covariance,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Asymptotics of empirical eigenstruct ure for high dimensional spiked covariance,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.293317Z

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.

Observation 48141716-ce0e-400f-841f-45babbab1722 · outbound

This paper cites Integration of network topological features and graph Fou rier transform for fMRI data analysis,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory Integration of network topological features and graph Fou rier transform for fMRI data analysis,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.266962Z

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.

Observation 8ba4ffb6-967e-4464-bea3-c7eb2e9df972 · outbound

This paper cites A useful variant of the Da vis–Kahan theorem for statisticians,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory A useful variant of the Da vis–Kahan theorem for statisticians,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:22:30.241099Z

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.

Pith citing papers

No inbound Pith citation observations are available.