Paper Citation Record · LEDGER

Granger Causality Detection with Kolmogorov-Arnold Networks

As of 19 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 4 inbound Pith citation observations for arXiv:2412.15373.

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

pith.paper-citation-record.v1
2412.15373 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:31:38.313305Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:31:38.204355Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T14:35:46.898366Z

Reference resolution

24 of 24 outbound references displayed

verified exact0
verified fuzzy19
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1b80dc4c-8fe6-4b4d-b6bc-f246633290cd · outbound

This paper cites Each KAN is tasked with predicting a single target series xt,i based on the lagged observations of all series.

Granger Causality Detection with Kolmogorov-Arnold Networks Each KAN is tasked with predicting a single target series xt,i based on the lagged observations of all series

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.743693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5da10c34-71ee-47bf-8f4e-231ea74acfd9 · outbound

This paper cites Granger causality is extracted from the functional mappings in the first layer, which en- code the contribution of each lagged input series to the prediction of the target series.

Granger Causality Detection with Kolmogorov-Arnold Networks Granger causality is extracted from the functional mappings in the first layer, which en- code the contribution of each lagged input series to the prediction of the target series

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.732077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 519dae89-8a43-411a-9e20-3cfa7c09ff78 · outbound

This paper cites Net- work granger causality with inherent grouping structure.

Granger Causality Detection with Kolmogorov-Arnold Networks Net- work granger causality with inherent grouping structure

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.659635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8f16c3e6-b5cb-40ca-bd6b-db813ce1edeb · outbound

This paper cites Each time series generated has self dependencies and three ran- domly selected parents among the other n−1 series.

Granger Causality Detection with Kolmogorov-Arnold Networks Each time series generated has self dependencies and three ran- domly selected parents among the other n−1 series

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.720099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fd8d3049-1ac5-4dfe-90e1-54dbc9053a55 · outbound

This paper cites an unresolved cited work.

Granger Causality Detection with Kolmogorov-Arnold Networks Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:31:38.707091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8c882f95-38e0-4a90-8d85-0c2da8bc8fb7 · outbound

This paper cites Survey and evaluation of causal discovery methods for time series.

Granger Causality Detection with Kolmogorov-Arnold Networks Survey and evaluation of causal discovery methods for time series

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.692366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 07867dae-71aa-4ba2-b367-903ffa7447b0 · outbound

This paper cites Multi- variate granger causality and generalized variance.

Granger Causality Detection with Kolmogorov-Arnold Networks Multi- variate granger causality and generalized variance

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.676030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation de598d91-298b-49ec-bb64-34819319421e · outbound

This paper cites an unresolved cited work.

Granger Causality Detection with Kolmogorov-Arnold Networks Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:31:38.596303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8947e813-1dae-41ac-a3e0-d0ebc3148dc2 · outbound

This paper cites Nonlinear system identification: NARMAX methods in the time, frequency, and spatio- temporal domains.

Granger Causality Detection with Kolmogorov-Arnold Networks Nonlinear system identification: NARMAX methods in the time, frequency, and spatio- temporal domains

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.646353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 548bf8b4-696b-4d7c-ae83-c7f1a52ee922 · outbound

This paper cites On a constructive proof of kolmogorov’s superposition theorem.

Granger Causality Detection with Kolmogorov-Arnold Networks On a constructive proof of kolmogorov’s superposition theorem

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.633640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 680806db-8ac0-4d7f-80ba-13434629fd8e · outbound

This paper cites Analyzing multiple nonlinear time series with extended granger causality.

Granger Causality Detection with Kolmogorov-Arnold Networks Analyzing multiple nonlinear time series with extended granger causality

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.621285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 538d9cc4-5049-49d0-bb0d-9df67db8edc5 · outbound

This paper cites Spline basics., 2002.

Granger Causality Detection with Kolmogorov-Arnold Networks Spline basics., 2002

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.608761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 577b3181-33a9-42e6-a77b-614a50c97124 · outbound

This paper cites High dimensional forecasting via in- terpretable vector autoregression.

Granger Causality Detection with Kolmogorov-Arnold Networks High dimensional forecasting via in- terpretable vector autoregression

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.523995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1e6152b6-0d19-45e4-bd46-e06b7ed8e7fc · outbound

This paper cites Extensive chaos in the lorenz-96 model.

Granger Causality Detection with Kolmogorov-Arnold Networks Extensive chaos in the lorenz-96 model

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.582937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4b3d7df6-d75c-4ae8-b8aa-5385aed2608f · outbound

This paper cites Granger Causality Detection with Kolmogorov-Arnold Networks.

Granger Causality Detection with Kolmogorov-Arnold Networks Granger Causality Detection with Kolmogorov-Arnold Networks

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T11:31:38.204355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57dea5cb-7f67-454b-89c3-96e50cae03b4 · outbound

This paper cites American Mathematical Society, 1961.

Granger Causality Detection with Kolmogorov-Arnold Networks American Mathematical Society, 1961

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.566995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8341fd27-2d27-45a7-b042-1da07aa059e2 · outbound

This paper cites Hou, and Max Tegmark.

Granger Causality Detection with Kolmogorov-Arnold Networks Hou, and Max Tegmark

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.552153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fb286ec6-95a1-44e5-b06d-af99715fc2b3 · outbound

This paper cites Causal discovery with attention-based convolutional neural net- works.

Granger Causality Detection with Kolmogorov-Arnold Networks Causal discovery with attention-based convolutional neural net- works

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.538603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f90cd04a-fccd-4268-85fb-ae5bc1d3be11 · outbound

This paper cites Granger causality: A re- view and recent advances.

Granger Causality Detection with Kolmogorov-Arnold Networks Granger causality: A re- view and recent advances

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.509018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a97411b3-c775-4d9c-b5e1-73ae420deb42 · outbound

This paper cites Neural granger causality.

Granger Causality Detection with Kolmogorov-Arnold Networks Neural granger causality

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.495810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8d24e843-0792-4be0-8bf5-828465e0f5dc · outbound

This paper cites Kolmogorov-arnold networks (kans) for time series analysis.

Granger Causality Detection with Kolmogorov-Arnold Networks Kolmogorov-arnold networks (kans) for time series analysis

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T11:31:38.297462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 958dd5ab-484d-4987-988f-e36c783ed37e · outbound

This paper cites On the definition of a confounder.

Granger Causality Detection with Kolmogorov-Arnold Networks On the definition of a confounder

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.482500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 09e09ed3-ecd0-4cae-9bb7-a4765058e604 · outbound

This paper cites Kolmogorov-Arnold Networks for Time Series: Bridging Predictive Power and Interpretability.

Granger Causality Detection with Kolmogorov-Arnold Networks Kolmogorov-Arnold Networks for Time Series: Bridging Predictive Power and Interpretability

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T11:31:38.308664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 858503a9-ab1b-4802-96fd-6bb5757e3e50 · outbound

This paper cites Model selection and estima- tion in regression with grouped variables.

Granger Causality Detection with Kolmogorov-Arnold Networks Model selection and estima- tion in regression with grouped variables

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:31:38.469439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 4b3d7df6-d75c-4ae8-b8aa-5385aed2608f · inbound