Paper Citation Record · LEDGER

Hilbert Transform on Graphs: Let There Be Phase

As of 20 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2412.18501.

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

pith.paper-citation-record.v1
2412.18501 v3

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:48:13.153027Z

measured 32 of 32 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 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

32 of 32 outbound references displayed

verified exact0
verified fuzzy27
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a9319641-391c-47e8-a6fe-969afcf10dca · outbound

This paper cites The emerging field of signal processing on graphs: Ex- tending high-dimensional data analysis to networks and other irregular domains,.

Hilbert Transform on Graphs: Let There Be Phase The emerging field of signal processing on graphs: Ex- tending high-dimensional data analysis to networks and other irregular domains,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.437958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f2910c2d-a12f-457d-85a9-fae51b49ac60 · outbound

This paper cites Graph Signal Processing: Overview, Challenges, and Ap- plications,.

Hilbert Transform on Graphs: Let There Be Phase Graph Signal Processing: Overview, Challenges, and Ap- plications,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.429178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 050ba8bb-ddf7-4c98-b263-4ec91894aa16 · outbound

This paper cites Signal Processing on Directed Graphs: The Role of Edge Directionality When Processing and Learning From Network Data,.

Hilbert Transform on Graphs: Let There Be Phase Signal Processing on Directed Graphs: The Role of Edge Directionality When Processing and Learning From Network Data,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.421542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dd7eeee6-8ddb-44fc-ba5c-2537c54673c2 · outbound

This paper cites Discrete Signal Processing on Graphs,.

Hilbert Transform on Graphs: Let There Be Phase Discrete Signal Processing on Graphs,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.413940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f5228a17-e981-4a5c-b8d2-ce1e995e359a · outbound

This paper cites Big Data Analysis with Signal Processing on Graphs: Representation and processing of massive data sets with irregular structure,.

Hilbert Transform on Graphs: Let There Be Phase Big Data Analysis with Signal Processing on Graphs: Representation and processing of massive data sets with irregular structure,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.405510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fad32739-09d2-4de3-93d9-c4363b7d167d · outbound

This paper cites Signal denoising on graphs via graph filtering,.

Hilbert Transform on Graphs: Let There Be Phase Signal denoising on graphs via graph filtering,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.395298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 836f5fda-3f01-49d5-909f-ac321feedb1d · outbound

This paper cites Infinite Impulse Response Graph Filters in Wireless Sensor Networks,.

Hilbert Transform on Graphs: Let There Be Phase Infinite Impulse Response Graph Filters in Wireless Sensor Networks,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.387327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 24c0e661-4b6e-4378-bd86-e56347a07b39 · outbound

This paper cites Discrete Signal Processing on Graphs: Frequency Analysis,.

Hilbert Transform on Graphs: Let There Be Phase Discrete Signal Processing on Graphs: Frequency Analysis,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.378679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c484be77-479f-43e5-aa36-eb0d8a40a8a1 · outbound

This paper cites Computational aspects of the Jordan canonical form,.

Hilbert Transform on Graphs: Let There Be Phase Computational aspects of the Jordan canonical form,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.370684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4acfea3e-f845-4aa6-a316-10f0664569c1 · outbound

This paper cites Graph Signal Processing: Modulation, Convolution, and Sampling.

Hilbert Transform on Graphs: Let There Be Phase Graph Signal Processing: Modulation, Convolution, and Sampling

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T04:48:13.090272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 196b7177-c9fa-459f-88e7-b353588bf461 · outbound

This paper cites Graph Fourier Trans- form for directed graphs based on Lov ´asz extension of min-cut,.

Hilbert Transform on Graphs: Let There Be Phase Graph Fourier Trans- form for directed graphs based on Lov ´asz extension of min-cut,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.363086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f1d2ac42-47a2-4099-ae8b-904dcb0534b9 · outbound

This paper cites A Directed Graph Fourier Transform With Spread Frequency Components,.

Hilbert Transform on Graphs: Let There Be Phase A Directed Graph Fourier Transform With Spread Frequency Components,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.353006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 31fc42d7-395e-4ea4-8d82-1302b1f64bbb · outbound

This paper cites Graph Signal Processing for Directed Graphs Based on the Hermitian Lapla- cian,.

Hilbert Transform on Graphs: Let There Be Phase Graph Signal Processing for Directed Graphs Based on the Hermitian Lapla- cian,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.343183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ab717960-2028-46fb-a1a1-76f58984b3b9 · outbound

This paper cites Digraph Signal Processing With Generalized Boundary Conditions,.

Hilbert Transform on Graphs: Let There Be Phase Digraph Signal Processing With Generalized Boundary Conditions,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.334384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 18132cdb-4c0e-4ecc-a2f0-3ab09319d222 · outbound

This paper cites Low Rank Perturbation of Jordan Structure,.

Hilbert Transform on Graphs: Let There Be Phase Low Rank Perturbation of Jordan Structure,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.327028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fe754052-6862-41c9-be8c-e0e48c41ef00 · outbound

This paper cites On the Change in the Spectral Properties of a Matrix under Perturbations of Sufficiently Low Rank,.

Hilbert Transform on Graphs: Let There Be Phase On the Change in the Spectral Properties of a Matrix under Perturbations of Sufficiently Low Rank,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.318586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 96c51ac9-0593-4198-9279-66582486ab3d · outbound

This paper cites an unresolved cited work.

Hilbert Transform on Graphs: Let There Be Phase Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:48:13.311118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c8ee4efd-c955-44a7-8f74-64ef4896bdf9 · outbound

This paper cites On Hilbert transform, analytic signal, and modulation analysis for signals over graphs,.

Hilbert Transform on Graphs: Let There Be Phase On Hilbert transform, analytic signal, and modulation analysis for signals over graphs,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.302348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 80ad167a-ab56-4a7f-9718-50ba5134de97 · outbound

This paper cites an unresolved cited work.

Hilbert Transform on Graphs: Let There Be Phase Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:48:13.292936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a0ec6743-c759-4c8c-8a33-164909bde8c1 · outbound

This paper cites an unresolved cited work.

Hilbert Transform on Graphs: Let There Be Phase Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:48:13.285439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 21273f70-a260-44a3-b2cb-764c7dcdc9a7 · outbound

This paper cites Connections between graphs and matrix spaces,.

Hilbert Transform on Graphs: Let There Be Phase Connections between graphs and matrix spaces,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.277062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6a9d4baf-9506-439a-847a-9e29023b26c4 · outbound

This paper cites Graph Fourier Transform: A Stable Approximation,.

Hilbert Transform on Graphs: Let There Be Phase Graph Fourier Transform: A Stable Approximation,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.269499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ab1ccb9c-c87d-48c1-9d75-341ff423c895 · outbound

This paper cites Analysis of the phase unwrapping algorithm,.

Hilbert Transform on Graphs: Let There Be Phase Analysis of the phase unwrapping algorithm,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.261491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b274108a-e79c-407d-bba6-d92b6decd5c0 · outbound

This paper cites The monogenic signal,.

Hilbert Transform on Graphs: Let There Be Phase The monogenic signal,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.252506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 92ecdcbd-ed2e-45b1-877a-bd5b03e8fb37 · outbound

This paper cites The monogenic Riesz- Laplace wavelet transform,.

Hilbert Transform on Graphs: Let There Be Phase The monogenic Riesz- Laplace wavelet transform,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.243891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4dd365a2-09dd-4cfb-b16b-f028baac91c6 · outbound

This paper cites an unresolved cited work.

Hilbert Transform on Graphs: Let There Be Phase Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:48:13.234374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b3a7d7c1-1bab-4159-8d93-042af00cef34 · outbound

This paper cites Graph Fourier transform based on directed Laplacian,.

Hilbert Transform on Graphs: Let There Be Phase Graph Fourier transform based on directed Laplacian,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.225834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 340f3168-9b48-44b8-be44-21cc868175fc · outbound

This paper cites Frequency Analysis and Filter Design for Directed Graphs with Polar Decomposition,.

Hilbert Transform on Graphs: Let There Be Phase Frequency Analysis and Filter Design for Directed Graphs with Polar Decomposition,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.217164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0c01e988-2116-4a03-9a7e-fd9a55bc40b9 · outbound

This paper cites Joint Sampling and Reconstruction of Time-Varying Signals Over Directed Graphs,.

Hilbert Transform on Graphs: Let There Be Phase Joint Sampling and Reconstruction of Time-Varying Signals Over Directed Graphs,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.208710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 75584300-f2db-428b-b7b1-4173fd153e46 · outbound

This paper cites Complex seismic trace analysis,.

Hilbert Transform on Graphs: Let There Be Phase Complex seismic trace analysis,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.199496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a3b08feb-ffde-42dc-a797-d31b30f95978 · outbound

This paper cites Fourier-, Hilbert- and wavelet-based signal analysis: are they really different approaches?,.

Hilbert Transform on Graphs: Let There Be Phase Fourier-, Hilbert- and wavelet-based signal analysis: are they really different approaches?,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.190565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 441d7369-1cb7-4b2a-9f39-476129b425b7 · outbound

This paper cites Comparison of Hilbert transform and wavelet methods for the analysis of neuronal synchrony,.

Hilbert Transform on Graphs: Let There Be Phase Comparison of Hilbert transform and wavelet methods for the analysis of neuronal synchrony,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:48:13.182099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.