Pith. sign in

Paper Citation Record · LEDGER

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.03465.

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

pith.paper-citation-record.v1
1908.03465 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:25:16.725212Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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 fuzzy18
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2212138e-fddc-4ae3-b5b5-b991c503a8e9 · outbound

This paper cites an unresolved cited work.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T14:25:16.585439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:25:16.585439Z digest=sha256:d55465fbea22ee4cbe59568ba1864a84d8ac24093c68224f012744a40975fd6d

Observation 46dc3dee-6358-4502-9c43-7b374f406639 · outbound

This paper cites Boyd & L.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Boyd & L

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:17.163411Z

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.

source=pdf_text observed=2026-08-14T14:25:16.591438Z digest=sha256:60ed612d23f68d77503f0ce98c46e4791ac1b1fa0e803d1f824965c3317ca006

Observation 330be142-e659-4eba-94cc-a4c25a657131 · 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 II: Computation and Applications Signal-plus-noise matri x models: eigenvector deviations and fluctuations,

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T14:25:16.596716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:25:16.596716Z digest=sha256:98f210e826a527dbf9ef05b504220cdde55ddd0acd44cf7a99e63f0cf349bcb6

Observation b78cd49c-bb02-418e-b7ca-4573a8902508 · outbound

This paper cites Programming with linear fract ional functionals,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Programming with linear fract ional functionals,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:17.134974Z

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.

source=pdf_text observed=2026-08-14T14:25:16.602098Z digest=sha256:2d230758af5df77326fd1887dbe548e24e08a1fa652cf55657f42f74962b2cb5

Observation a8ef9505-f290-4568-94f6-6ed438281705 · outbound

This paper cites Distributed Energy Spectral E fficiency Optimization for Partial/Full Interference Alignment in M ulti-user Multi- relay Multi-cell MIMO Systems,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Distributed Energy Spectral E fficiency Optimization for Partial/Full Interference Alignment in M ulti-user Multi- relay Multi-cell MIMO Systems,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:17.117899Z

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.

source=pdf_text observed=2026-08-14T14:25:16.607265Z digest=sha256:e5930e169ab6a45d2f351e25c91f93f7a51b8847f693d559f11c4aeabb0484ae

Observation 507a64c9-8990-4ee8-b507-c4a7f40b9e19 · outbound

This paper cites On Nonlinear Fractional Programming,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications On Nonlinear Fractional Programming,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:17.100639Z

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.

source=pdf_text observed=2026-08-14T14:25:16.612937Z digest=sha256:8647d3e9a124976cb50a079a34b69dc01854728c70e25975297fe5cb67bfa716

Observation 435c5d46-fa4e-4915-b656-c461d35bd6e7 · outbound

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

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Unperturbed: spectral analysis beyond Davis–Kahan,

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T14:25:16.618840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:25:16.618840Z digest=sha256:ed620d4a9ded5c49005aad2620b14ea7a1e37844ea7109c069d0c1c66a6a1a95

Observation e0bbaf2a-da8d-42da-8d3a-55e89668df26 · 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 II: Computation and Applications Large covariance estimati on by thresholding principal orthogonal complements,

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T14:25:16.623649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:25:16.623649Z digest=sha256:221d78c0f61132646609dc11aa957d0dcd711035d2ddb067624128e83bdcb750

Observation 325ded23-10ca-4f54-9303-87061751606d · outbound

This paper cites Frenk & S.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Frenk & S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:17.059582Z

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.

source=pdf_text observed=2026-08-14T14:25:16.628559Z digest=sha256:e5de99b73663feb350290d4d9e2bd4182970d7db2a1a6d1da63cbfc643bd9642

Observation bd069d27-a764-4bbe-84bd-7588051a6db5 · outbound

This paper cites Grant & S.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Grant & S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:17.042912Z

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.

source=pdf_text observed=2026-08-14T14:25:16.634555Z digest=sha256:a2b807f0604b5f9e75ae5f8691fe7efbaf420f7bced48d4126633d38001e041e

Observation b5013ff2-7092-467b-baff-020567c6db67 · outbound

This paper cites Grant & S.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Grant & S

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:17.025043Z

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.

source=pdf_text observed=2026-08-14T14:25:16.639356Z digest=sha256:d14502a24c754d892fc38371a68f0ac1baeec7cb15bee33b6cf04d434cdd9099

Observation 8db66c87-c6eb-4f03-bfd6-635f8e921971 · outbound

This paper cites Stochastic B lockmodels: First Steps,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Stochastic B lockmodels: First Steps,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:17.007736Z

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.

source=pdf_text observed=2026-08-14T14:25:16.644279Z digest=sha256:296945099843ebd290c12d4ebb3af983f27e03ac143eeb9e9598385059a1bacc

Observation ed7ab0ab-47cf-48ea-94e4-9593173e1897 · outbound

This paper cites Frame work for link- level energy efficiency optimization with informed transmi tter,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Frame work for link- level energy efficiency optimization with informed transmi tter,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:16.991048Z

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.

source=pdf_text observed=2026-08-14T14:25:16.649231Z digest=sha256:3ae128db76b0ead33b94f9bedebec0f2eb55362ee548a218d445d3400a5618ef

Observation 71da44cd-9290-444a-9595-bb3ac32beb14 · 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 II: Computation and Applications On the distribution of the largest eig envalue in prin- cipal components analysis,

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T14:25:16.654309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:25:16.654309Z digest=sha256:9ef40293a9bf59316d56dbc5328146aa565d70c3d05ff7e6322071c437353499

Observation 74102038-e2d5-4d86-9b75-b6a252652c8a · 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 II: Computation and Applications PCA consistency in High Dimensio n Low Sample Size Context,

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T14:25:16.659320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:25:16.659320Z digest=sha256:2c2a595f3933504649201448bfbb73d578c10b2d28eebf1aee2c049a99f1d43b

Observation 83ff7f92-3a45-4989-93b9-862cc96b0dea · outbound

This paper cites Stochastic blockmodels and community structure in networks,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Stochastic blockmodels and community structure in networks,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:16.952916Z

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.

source=pdf_text observed=2026-08-14T14:25:16.664320Z digest=sha256:1d9b1bd9f90f71b322fd51f7656e535391cd89159a9ef0e555178116853dda72

Observation a6eb0f80-3e52-4d5e-9aa6-aa60c8bc046d · 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 II: Computation and Applications Consistency of spectral clusterin g in stochastic block models,

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T14:25:16.669622Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:25:16.669622Z digest=sha256:bf58fe551da61f76b91e5ec8e124661dc8d0963095e85d8e26684ce6bc2e3a90

Observation f3e33937-c019-4b65-9a9c-004b3503ee19 · outbound

This paper cites Fractional QCQP With Applications in ML Steering Direction Estimation for Radar Detection,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Fractional QCQP With Applications in ML Steering Direction Estimation for Radar Detection,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:16.925028Z

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.

source=pdf_text observed=2026-08-14T14:25:16.674889Z digest=sha256:b6388426737142766849a5863b117b7ef63c7775b98b3e31d54868ae880793c8

Observation 93a20310-ba0e-490b-8727-f7c14e0dfbcd · outbound

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

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

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T14:25:16.679739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:25:16.679739Z digest=sha256:3b481acb4df7dab34a4d123f276bb938a93ef8a0e6e6b55c6b3d242899843cd0

Observation 2bf3a646-cc3a-4ef2-9319-ebc6c7c8512d · outbound

This paper cites Parameter-free Convex Equivalent and Du al Programs of Fractional Programming Problems,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Parameter-free Convex Equivalent and Du al Programs of Fractional Programming Problems,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:16.896447Z

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.

source=pdf_text observed=2026-08-14T14:25:16.685046Z digest=sha256:5d16101e79517d79983c1314d16bf9e2b557d5f578efce727ebf3d3661364a31

Observation 6c7338fb-e802-4f64-a15c-fd70d318d237 · outbound

This paper cites Minimization of Ratios,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Minimization of Ratios,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:16.877719Z

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.

source=pdf_text observed=2026-08-14T14:25:16.690143Z digest=sha256:faa3526729f0691bb7d271e168486a9518ae6a7276ff118d980bcf80f44d9530

Observation d451d468-5a6b-47f9-9afa-7723940c9cbc · outbound

This paper cites Fractional Programming: Applications a nd algorithms,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Fractional Programming: Applications a nd algorithms,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:16.861715Z

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.

source=pdf_text observed=2026-08-14T14:25:16.695535Z digest=sha256:b354944f7de43aef965421d45754ddf184e815be46d855f87ae6a5cafd8402d4

Observation 14332333-7c03-463b-b7c6-3f939ecb5b98 · outbound

This paper cites Fractional Programming,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Fractional Programming,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:16.844054Z

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.

source=pdf_text observed=2026-08-14T14:25:16.700206Z digest=sha256:542d645a51a315df6710903c579d09dbbd8e93eb4cef2a8293b4d753d5e71214

Observation 8e85907b-b369-431c-a4aa-1754a1f90203 · outbound

This paper cites A general framework for c onsist- ency of principal component analysis,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications A general framework for c onsist- ency of principal component analysis,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:16.826587Z

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.

source=pdf_text observed=2026-08-14T14:25:16.705063Z digest=sha256:8b884f490b897cf895f38ecbe3aa1b49db8190fe168262650b26caccaae1860e

Observation d20bcc74-18fc-4d67-852f-94c3d405b05c · outbound

This paper cites Fractional Programming for Communicat ion Systems—Part I: Power Control and Beamforming,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Fractional Programming for Communicat ion Systems—Part I: Power Control and Beamforming,

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:16.809638Z

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.

source=pdf_text observed=2026-08-14T14:25:16.709958Z digest=sha256:d671241eda9b590786abacbac6d9ddc11446c93654066bce18f11df4a5088cab

Observation a38e805e-1800-49f1-b888-14f9fffd3455 · 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 II: Computation and Applications Asymptotics of empirical eigenstruct ure for high dimensional spiked covariance,

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-14T14:25:16.714820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:25:16.714820Z digest=sha256:96cbc855d269f7bca163499abce3f3a89d6342a27d23db87250532ebb60607ba

Observation 4a3fa937-aa24-49d4-9625-eee8d1ea249b · outbound

This paper cites Dynamic Asymmetr ic Power Splitting Scheme for SWIPT-Based Two-Way Multiplica tive AF Relaying,.

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications Dynamic Asymmetr ic Power Splitting Scheme for SWIPT-Based Two-Way Multiplica tive AF Relaying,

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:25:16.780696Z

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.

source=pdf_text observed=2026-08-14T14:25:16.720116Z digest=sha256:50a1d6c2d47a3136ceab39de6bfbb2d7aef527fec50778d03968820cda5d4dd6

Observation 1b9107d5-b7d0-40ec-abe9-829e77c62bac · 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 II: Computation and Applications A useful variant of the Da vis–Kahan theorem for statisticians,

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-14T14:25:16.725212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:25:16.725212Z digest=sha256:7121c79b222f974d6a14ea7ec5fb518f23dc162ea22852a6c4d2fa5c9ccde461

Pith citing papers

No inbound Pith citation observations are available.