Paper Citation Record · LEDGER

Variational Kolmogorov-Arnold Network

As of 4 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 2 inbound Pith citation observations for arXiv:2507.02466.

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

pith.paper-citation-record.v1
2507.02466 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T05:50:36.472912Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T04:08:24.715516Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-18T03:30:50.694274Z

Reference resolution

40 of 40 outbound references displayed

verified exact9
verified fuzzy27
unresolved0
parse uncertain0
malformed identifier1
metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4acc3504-f1dd-4152-8543-3e961ee3923a · outbound

This paper cites Geometric Kolmogorov-Arnold Superposition Theorem.

Variational Kolmogorov-Arnold Network Geometric Kolmogorov-Arnold Superposition Theorem

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-19T05:52:07.220083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 6193bcf1-aae1-497f-8a14-7004993b0bc4 · outbound

This paper cites Wav-KAN: Wavelet Kolmogorov-Arnold Networks.

Variational Kolmogorov-Arnold Network Wav-KAN: Wavelet Kolmogorov-Arnold Networks

Reference 2

Resolution: metadata mismatch; arxiv_id, observed 2026-05-19T05:52:07.214625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2ff09a95-f080-43f3-a79b-7d79c9b054e5 · outbound

This paper cites Kolmogorov-Arnold Graph Neural Networks.

Variational Kolmogorov-Arnold Network Kolmogorov-Arnold Graph Neural Networks

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-19T05:52:07.209391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 275d619e-f81e-40da-9e9b-715052cd2eba · outbound

This paper cites Adaptive message passing: A general framework to mitigate oversmoothing, oversquashing, and underreaching.

Variational Kolmogorov-Arnold Network Adaptive message passing: A general framework to mitigate oversmoothing, oversquashing, and underreaching

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.560654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 1d62f6e7-ffe3-4f8d-bad5-bc04303c4a1a · outbound

This paper cites Adaptive message passing: A general framework to mitigate oversmoothing, oversquashing, and underreaching.

Variational Kolmogorov-Arnold Network Adaptive message passing: A general framework to mitigate oversmoothing, oversquashing, and underreaching

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.564443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d7351f3e-a195-47e4-b26d-154bd89cce5f · outbound

This paper cites Adaptive width neural networks.

Variational Kolmogorov-Arnold Network Adaptive width neural networks

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.545461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 58048ff9-a041-4bfd-aac2-089950cd2695 · outbound

This paper cites The cascade-correlation learning architecture.

Variational Kolmogorov-Arnold Network The cascade-correlation learning architecture

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.532215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 407d758c-3332-4d40-a516-72497d150fde · outbound

This paper cites Niles, Ken Pathak, and Steven Sloan.

Variational Kolmogorov-Arnold Network Niles, Ken Pathak, and Steven Sloan

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.552707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 1708f66e-99eb-4042-8d01-0926a97f67cb · outbound

This paper cites Eurosat: A novel dataset and deep learning benchmark for land use and land cover classification.

Variational Kolmogorov-Arnold Network Eurosat: A novel dataset and deep learning benchmark for land use and land cover classification

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.549227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f670e8ba-129b-44ae-b2e4-0cd8ba10b698 · outbound

This paper cites Multilayer feedforward networks are universal approximators.Neural networks, 2(5):359–366.

Variational Kolmogorov-Arnold Network Multilayer feedforward networks are universal approximators.Neural networks, 2(5):359–366

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.536459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 51f95d86-b08a-48c8-af9a-181b9d7126c2 · outbound

This paper cites EKAN: Equivariant Kolmogorov-Arnold Networks, October 2024.

Variational Kolmogorov-Arnold Network EKAN: Equivariant Kolmogorov-Arnold Networks, October 2024

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.540825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 28d089d3-99d9-4b23-b269-a42c2c7907e5 · outbound

This paper cites Batch normalization: Accelerating deep network training by reducing internal covariate shift.

Variational Kolmogorov-Arnold Network Batch normalization: Accelerating deep network training by reducing internal covariate shift

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.556749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 125f3a4a-8151-45f6-997c-620c039e6a2b · outbound

This paper cites What is the best multi-stage architecture for object recognition? In2009 IEEE 12th international conference on computer vision, pages 2146–2153.

Variational Kolmogorov-Arnold Network What is the best multi-stage architecture for object recognition? In2009 IEEE 12th international conference on computer vision, pages 2146–2153

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.489156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9d93063b-a9cd-46ea-8c0d-5e3800d9821d · outbound

This paper cites An introduction to variational methods for graphical models.Machine learning, 37:183–233.

Variational Kolmogorov-Arnold Network An introduction to variational methods for graphical models.Machine learning, 37:183–233

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.493124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a691e98c-4474-4860-8b9c-b4d9f9977941 · outbound

This paper cites American Mathematical Society.

Variational Kolmogorov-Arnold Network American Mathematical Society

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.497083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c0eadba1-3b7f-4cf8-afed-4a9cffe2bf47 · outbound

This paper cites On the training of a kolmogorov network.

Variational Kolmogorov-Arnold Network On the training of a kolmogorov network

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.500950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a567d33d-e779-4e39-b025-23cb3010ae74 · outbound

This paper cites Nguyen, and David A.

Variational Kolmogorov-Arnold Network Nguyen, and David A

Reference 17

Resolution: verified exact; doi, observed 2026-05-19T05:52:06.974062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 78787ac0-9c0c-4421-ad55-7c998cfbafcd · outbound

This paper cites Learning multiple layers of features from tiny images.Master’s thesis, University of Toronto.

Variational Kolmogorov-Arnold Network Learning multiple layers of features from tiny images.Master’s thesis, University of Toronto

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.478721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c1abe4f6-e8d1-429f-8e98-5e1797d21136 · outbound

This paper cites Kolmogorov’s theorem and multilayer neural networks.Neural networks, 5(3):501–506.

Variational Kolmogorov-Arnold Network Kolmogorov’s theorem and multilayer neural networks.Neural networks, 5(3):501–506

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.472011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 6020998d-7cff-483c-ac0c-329773bab7ed · outbound

This paper cites A superposition theorem of Kolmogorov type for bounded continuous functions.

Variational Kolmogorov-Arnold Network A superposition theorem of Kolmogorov type for bounded continuous functions

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.516222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 404fce7f-ba41-4a22-88c8-cfe867f66b04 · outbound

This paper cites The kolmogorov superposition theorem can break the curse of dimensionality when approximating high dimensional functions.

Variational Kolmogorov-Arnold Network The kolmogorov superposition theorem can break the curse of dimensionality when approximating high dimensional functions

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-19T05:52:07.170307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 3ffb310d-633f-409a-bcaa-39423604207f · outbound

This paper cites The mnist database of handwritten digits.http://yann.

Variational Kolmogorov-Arnold Network The mnist database of handwritten digits.http://yann

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.505064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a2091d51-cb7a-45f0-a1eb-511c29eacd34 · outbound

This paper cites KAN: Kolmogorov-Arnold Networks.

Variational Kolmogorov-Arnold Network KAN: Kolmogorov-Arnold Networks

Reference 23

Resolution: metadata mismatch; local_arxiv, observed 2026-05-19T05:52:06.970528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 71455ff0-212c-410a-b250-61229c247586 · outbound

This paper cites Hou, and Max Tegmark.

Variational Kolmogorov-Arnold Network Hou, and Max Tegmark

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.485376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 02680bb4-8d15-4257-ad1a-bca6709f5ab3 · outbound

This paper cites Decoupled Weight Decay Regularization.

Variational Kolmogorov-Arnold Network Decoupled Weight Decay Regularization

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-05-19T05:52:07.193137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 75c0a034-66c7-421c-a7ef-e61e7429e7b9 · outbound

This paper cites Self expanding neural networks.

Variational Kolmogorov-Arnold Network Self expanding neural networks

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.528192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation af462c07-4fee-4cfa-88b9-2d1bf6c39b90 · outbound

This paper cites Kriege, Franka Bause, Kristian Kersting, Petra Mutzel, and Marion Neumann.

Variational Kolmogorov-Arnold Network Kriege, Franka Bause, Kristian Kersting, Petra Mutzel, and Marion Neumann

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.482170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 6c010f38-44b6-4ac5-afb6-dfbe075f6a31 · outbound

This paper cites EPi-cKANs: Elasto-Plasticity Informed Kolmogorov-Arnold Networks Using Chebyshev Polynomials.

Variational Kolmogorov-Arnold Network EPi-cKANs: Elasto-Plasticity Informed Kolmogorov-Arnold Networks Using Chebyshev Polynomials

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-19T05:52:07.198557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d5911b81-9f02-49f2-aa5c-db88dff87150 · outbound

This paper cites Variational inference for infinitely deep neural networks.

Variational Kolmogorov-Arnold Network Variational inference for infinitely deep neural networks

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.475346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation bc04b35a-3a5b-4dc7-8188-ba2027bfe0c3 · outbound

This paper cites How deep sparse networks avoid the curse of dimensionality: Efficiently computable functions are compositionally sparse.CBMM Memo, 10:2022.

Variational Kolmogorov-Arnold Network How deep sparse networks avoid the curse of dimensionality: Efficiently computable functions are compositionally sparse.CBMM Memo, 10:2022

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.524435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c8a2ee24-35c5-4148-b9eb-876b257ec742 · outbound

This paper cites A Survey on Kolmogorov-Arnold Network, November 2024.

Variational Kolmogorov-Arnold Network A Survey on Kolmogorov-Arnold Network, November 2024

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.468968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d4ea487d-64aa-4dad-bea1-6f2e6c902f5d · outbound

This paper cites Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation.

Variational Kolmogorov-Arnold Network Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 32

Resolution: metadata mismatch; arxiv_id, observed 2026-05-19T05:52:07.176469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b3f75a16-5498-44be-8586-3d8a0df9b515 · outbound

This paper cites Splitting steepest descent for growing neural architectures.

Variational Kolmogorov-Arnold Network Splitting steepest descent for growing neural architectures

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.511108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d04b1c22-ea72-4efd-8250-dc64f68bad42 · outbound

This paper cites Firefly neural architecture descent: a general approach for growing neural networks.

Variational Kolmogorov-Arnold Network Firefly neural architecture descent: a general approach for growing neural networks

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.520591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 0f2bed28-ac89-4dd7-b529-712c38e0c078 · outbound

This paper cites Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms.

Variational Kolmogorov-Arnold Network Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-05-19T05:52:07.182064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation ffa60b29-6805-4401-86c8-f0f1b5a30798 · outbound

This paper cites Enhancing Graph Collaborative Filtering with FourierKAN Feature Transformation.

Variational Kolmogorov-Arnold Network Enhancing Graph Collaborative Filtering with FourierKAN Feature Transformation

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-05-19T05:52:07.203930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 641f6a60-05fb-4162-bfd1-e2c11552efe8 · outbound

This paper cites How powerful are graph neural networks? In7th International Conference on Learning Representations (ICLR).

Variational Kolmogorov-Arnold Network How powerful are graph neural networks? In7th International Conference on Learning Representations (ICLR)

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.463164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 1cd1b14c-7cf4-4f14-8127-95a6f1eed931 · outbound

This paper cites WormKAN: Are KAN Effective for Identifying and Tracking Concept Drift in Time Series?.

Variational Kolmogorov-Arnold Network WormKAN: Are KAN Effective for Identifying and Tracking Concept Drift in Time Series?

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-05-19T05:52:07.187801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 28a5c40d-38d2-44a3-9bc6-200061a86c13 · outbound

This paper cites Kolmogorov-Arnold Transformer, September 2024.

Variational Kolmogorov-Arnold Network Kolmogorov-Arnold Transformer, September 2024

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:52:08.466112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 4f3cd574-a50b-465e-9531-2c078a5b2aeb · outbound

This paper cites Lifelong learning with dynamically expandable networks.

Variational Kolmogorov-Arnold Network Lifelong learning with dynamically expandable networks

Reference 40

Resolution: malformed identifier; raw_fallback, observed 2026-05-19T05:52:08.459906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

Observation e2288df8-759e-4426-94ac-38d54ff4bfd4 · inbound

A Practitioner's Guide to Kolmogorov-Arnold Networks cites this paper.

A Practitioner's Guide to Kolmogorov-Arnold Networks Variational Kolmogorov-Arnold Network

Reference 213

Resolution: verified exact; local_arxiv, observed 2026-05-18T03:30:50.696806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 61f3bb05-a96a-4131-9b63-5cd9e6c3e334 · inbound

Clifford Kolmogorov-Arnold Networks cites this paper.

Clifford Kolmogorov-Arnold Networks Variational Kolmogorov-Arnold Network

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T04:08:24.715516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.