Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:22:30.190796Z
Paper Citation Record · LEDGER
Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory
As of 16 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.