Paper Citation Record · LEDGER

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2505.15228.

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

pith.paper-citation-record.v1
2505.15228 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:27:25.748697Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

25 of 25 outbound references displayed

verified exact6
verified fuzzy5
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 63620612-0e46-48d8-8e85-e34562510869 · outbound

This paper cites an unresolved cited work.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:27:26.015215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d24ce1fc-1a6c-4515-8946-f4b4f5cf1f7a · outbound

This paper cites A fast Petrov-Galerkin spectral method for the multi-dimensional Boltzmann equation using mapped Chebyshev functions.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks A fast Petrov-Galerkin spectral method for the multi-dimensional Boltzmann equation using mapped Chebyshev functions

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:27:25.997009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5e16a58a-2f6a-4dcf-b019-02b71a315d76 · outbound

This paper cites doi: 10.3390/e24030348.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks doi: 10.3390/e24030348

Reference 13

Resolution: verified exact; doi, observed 2026-08-07T15:27:25.794057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5a896e20-7cb0-4522-867b-4bcb01d632c5 · outbound

This paper cites Quantum-inspired activation functions and quantum Chebyshev-polynomial network.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Quantum-inspired activation functions and quantum Chebyshev-polynomial network

Reference 15

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T15:27:25.975807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 304980eb-1945-4675-ab72-c24602fe1f0f · outbound

This paper cites When Do Neural Nets Outperform Boosted Trees on Tabular Data?.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks When Do Neural Nets Outperform Boosted Trees on Tabular Data?

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T15:27:25.720299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c6170b6-822c-40b0-b197-11903325df5c · outbound

This paper cites Deep Learning within Tabular Data: Foundations, Challenges, Advances and Future Directions.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Deep Learning within Tabular Data: Foundations, Challenges, Advances and Future Directions

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T15:27:25.730496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6158dc09-07cd-4334-a320-2a23bd5dab18 · outbound

This paper cites Exploring the Potential of Polynomial Basis Functions in Kolmogorov-Arnold Networks: A Comparative Study of Different Groups of Polynomials.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Exploring the Potential of Polynomial Basis Functions in Kolmogorov-Arnold Networks: A Comparative Study of Different Groups of Polynomials

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T15:27:25.734009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a61018b3-2e44-49db-92e7-78dd28e609cc · outbound

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

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T15:27:25.741032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62af2669-7587-4fc0-b018-a764274fed64 · outbound

This paper cites time step.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks time step

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:27:26.025415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f952372c-5afc-473f-ab25-73568b60ca53 · outbound

This paper cites Vladimir Arnold.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Vladimir Arnold

Reference 1957

Resolution: verified exact; doi, observed 2026-08-07T15:27:25.838816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 00d445f6-fa1c-46fa-b91f-e475581db257 · outbound

This paper cites CP-KAN Authors.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks CP-KAN Authors

Reference 1959

Resolution: verified exact; doi, observed 2026-08-07T15:27:25.829562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f0765bf8-50b2-490a-8774-8df27cce316b · outbound

This paper cites URL https://doi.org/10.1126/ science.220.4598.671.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks URL https://doi.org/10.1126/ science.220.4598.671

Reference 1983

Resolution: unresolved; no resolver link, observed 2026-08-07T15:27:25.704188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3240a7d-a2bb-4ec9-9d19-8c9158447368 · outbound

This paper cites D-Wave Systems Inc.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks D-Wave Systems Inc

Reference 1989

Resolution: unresolved; no resolver link, observed 2026-08-07T15:27:25.676426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4298e81-9861-464f-a88e-676eb3b8587e · outbound

This paper cites Shentong Mo, Jingfei Xia, and Pinxu Ren.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Shentong Mo, Jingfei Xia, and Pinxu Ren

Reference 1997

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:27:26.035886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ffe2c57b-e43e-4c52-b362-95a2e8a73a35 · outbound

This paper cites Karen Simonyan and Andrew Zisserman.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Karen Simonyan and Andrew Zisserman

Reference 2001

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T15:27:25.932845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ea598a75-cf1e-4e0a-8a16-8cc66845333a · outbound

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

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Wav-KAN: Wavelet Kolmogorov-Arnold Networks

Reference 2006

Resolution: unresolved; no resolver link, observed 2026-08-07T15:27:25.672250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1ec4128-e9e0-4ada-8ba9-39c44c6b1368 · outbound

This paper cites Shaozhi Li, M Sabbir Salek, Yao Wang, and Mashrur Chowdhury.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Shaozhi Li, M Sabbir Salek, Yao Wang, and Mashrur Chowdhury

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-07T15:27:25.710353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ce6d70d-4285-45ec-8852-a329bbadc5b2 · outbound

This paper cites Jingwei Hu, Xiaodong Huang, Jie Shen, and Haizhao Yang.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Jingwei Hu, Xiaodong Huang, Jie Shen, and Haizhao Yang

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-07T15:27:25.691586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 676a7da4-58ea-4440-a0d7-f2523a60bc54 · outbound

This paper cites 11 Duncan McElfresh, Sujay Khandagale, Jonathan Valverde, Vishak Prasad C, Benjamin Feuer, Chin- may Hegde, Ganesh Ramakrishnan, Micah Goldblum, and Colin White.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks 11 Duncan McElfresh, Sujay Khandagale, Jonathan Valverde, Vishak Prasad C, Benjamin Feuer, Chin- may Hegde, Ganesh Ramakrishnan, Micah Goldblum, and Colin White

Reference 2017

Resolution: verified exact; doi, observed 2026-08-07T15:27:25.778842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 51087b76-ffdb-4ff3-b62a-7f062a2dee94 · outbound

This paper cites PyTorch: An Imperative Style, High-Performance Deep Learning Library.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks PyTorch: An Imperative Style, High-Performance Deep Learning Library

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-07T15:27:25.726723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09f94e8e-e0af-4aeb-9816-6a2f5f540289 · outbound

This paper cites Deep residual learning for image recognition.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Deep residual learning for image recognition

Reference 2020

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:27:26.046660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e1512bee-dc9c-469f-b7eb-1c2aec822e54 · outbound

This paper cites doi: 10.22331/ q-2021-04-08-428.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks doi: 10.22331/ q-2021-04-08-428

Reference 2021

Resolution: verified exact; doi, observed 2026-08-07T15:27:25.813951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c8a6cbb8-1d14-478c-8c2c-95434b7bd363 · outbound

This paper cites Xiao Han, Xinfeng Zhang, Yiling Wu, Zhenduo Zhang, and Zhe Wu.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Xiao Han, Xinfeng Zhang, Yiling Wu, Zhenduo Zhang, and Zhe Wu

Reference 2022

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:27:26.057578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d28a4416-5ceb-4152-837e-6987ed1e71e0 · outbound

This paper cites QKAN: quantum Kolmogorov-Arnold networks with applications in machine learning and multivariate state preparation.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks QKAN: quantum Kolmogorov-Arnold networks with applications in machine learning and multivariate state preparation

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-07T15:27:25.699683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 215d16c3-e5ff-45c1-b367-3566bd0d69ee · outbound

This paper cites Christopher M.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Christopher M

Reference 2025

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:27:26.067975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.