Paper Citation Record · LEDGER

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling

As of 23 August 2026, this Paper Citation Record lists 74 of 74 outbound references and 3 inbound Pith citation observations for arXiv:2502.05682.

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

pith.paper-citation-record.v1
2502.05682 v2

Coverage vector

measured 74 of 74 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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

Source: arxiv_reference, observed 2026-07-10T12:15:01.137692Z

Reference resolution

74 of 74 outbound references displayed

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External citation measurements

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Outbound references

Observation c2619765-9671-453a-8586-e5c7e634c48e · outbound

This paper cites an unresolved cited work.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Unresolved cited work

Reference 1

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This paper cites Rivlin and D.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Rivlin and D

Reference 2

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Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Unresolved cited work

Reference 3

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Observation a74ae2f4-ad76-42d2-aed8-9eaa5e8697b4 · outbound

This paper cites Biomechanics - Mechanical Properties of Living Tissues.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Biomechanics - Mechanical Properties of Living Tissues

Reference 4

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This paper cites Holzapfel, T.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Holzapfel, T

Reference 5

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Observation d509f948-211c-44d2-aafa-5fd7646e1d53 · outbound

This paper cites Ehret and Mikhail Itskov.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Ehret and Mikhail Itskov

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.389086Z

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Observation cdcbbbad-15fd-4f2b-a057-ce8d9ed5a20e · outbound

This paper cites Data-driven computational mechanics.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Data-driven computational mechanics

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.377643Z

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Observation 19aa1c2a-357c-4014-bdbe-90fb8a5655dc · outbound

This paper cites Data-driven fracture mechanics.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Data-driven fracture mechanics

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.365532Z

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Observation f5361559-77cb-4903-8256-4341b217b260 · outbound

This paper cites Garrett, and Xiping Wu.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Garrett, and Xiping Wu

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.353233Z

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Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Unresolved cited work

Reference 10

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Observation f82c0ccb-065b-440f-a2e5-8d6ee685dcc8 · outbound

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Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Unresolved cited work

Reference 11

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Observation a4fae7d5-0b5f-457c-b9b2-2417c984016e · outbound

This paper cites Extension of the Sussman-Bathe spline-based hyperelastic model to incompressible transversely isotropic materials.Computers and Structures, 122:13–26, 2013.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Extension of the Sussman-Bathe spline-based hyperelastic model to incompressible transversely isotropic materials.Computers and Structures, 122:13–26, 2013

Reference 12

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Observation 39e14c98-c384-4180-8346-b30ccd435c2e · outbound

This paper cites What-You-Prescribe-Is-What-You-Get orthotropic hyper- elasticity.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling What-You-Prescribe-Is-What-You-Get orthotropic hyper- elasticity

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.304342Z

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Observation 79a16a0d-739e-43dc-bdcd-a79a1adecf15 · outbound

This paper cites WYPIWYG hyperelasticity for isotropic, compressible materials.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling WYPIWYG hyperelasticity for isotropic, compressible materials

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.292212Z

Source-reported events for the cited work

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Observation 36ecdef8-2cc6-490b-b4b9-4017c20bd7f9 · outbound

This paper cites Data-driven hyperelasticity, Part I: A canonical isotropic formulation for rubberlike materials.Journal of the Mechanics and Physics of Solids, 179:105381, 2023.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Data-driven hyperelasticity, Part I: A canonical isotropic formulation for rubberlike materials.Journal of the Mechanics and Physics of Solids, 179:105381, 2023

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.279693Z

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Observation db050770-0c9a-4ea7-a4db-16f00202d4a9 · outbound

This paper cites Versatile data-adaptive hyperelastic energy functions for soft materials.Computer Methods in Applied Mechanics and Engineering, 430:117208, 2024.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Versatile data-adaptive hyperelastic energy functions for soft materials.Computer Methods in Applied Mechanics and Engineering, 430:117208, 2024

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.267270Z

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Observation 13ce7f65-7d9e-4b7f-a385-312e12861cf0 · outbound

This paper cites Goldberg et al.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Goldberg et al

Reference 17

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Observation 3cf6acc3-2c5f-4baf-b45d-6a7b929c0106 · outbound

This paper cites Fuhg, Govinda Anantha Padmanabha, Nikolaos Bouklas, Bahador Bahmani, WaiChing Sun, Niko- laos N.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Fuhg, Govinda Anantha Padmanabha, Nikolaos Bouklas, Bahador Bahmani, WaiChing Sun, Niko- laos N

Reference 18

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Observation 7af5ea16-c0b6-48bf-b9e1-248f45aefc3c · outbound

This paper cites Klein, Karl A.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Klein, Karl A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.228710Z

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Observation 462cb0dc-2dd1-4ae5-9ad3-4d1ec4ec12b6 · outbound

This paper cites Rausch, Francisco Sahli Costabal, and Adrian Buganza Tepole.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Rausch, Francisco Sahli Costabal, and Adrian Buganza Tepole

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.216164Z

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Observation a153cb45-415a-4e0f-b8eb-591eb567c740 · outbound

This paper cites A mechanics-informed artificial neural network ap- proach in data-driven constitutive modeling.International Journal for Numerical Methods in Engineering, 123(12):2738–2759, 2022.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling A mechanics-informed artificial neural network ap- proach in data-driven constitutive modeling.International Journal for Numerical Methods in Engineering, 123(12):2738–2759, 2022

Reference 21

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Observation d3d1573a-2782-4327-a4ec-4718cf96f7c9 · outbound

This paper cites Abdolazizi, Roland C.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Abdolazizi, Roland C

Reference 22

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Observation 81ec1251-78bf-44c4-86b2-daa5ab982f01 · outbound

This paper cites Abdolazizi, Kevin Linka, and Christian J.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Abdolazizi, Kevin Linka, and Christian J

Reference 23

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Observation 14baa9e6-c298-49c0-8a6d-83cc07b89e88 · outbound

This paper cites Humphrey, and Christian J.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Humphrey, and Christian J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.173801Z

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Observation 05ffdb1d-2e8d-425a-8929-84fbc1facb37 · outbound

This paper cites Unsupervised discovery of interpretable hyper- elastic constitutive laws.Computer Methods in Applied Mechanics and Engineering, 381:113852, 2021.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Unsupervised discovery of interpretable hyper- elastic constitutive laws.Computer Methods in Applied Mechanics and Engineering, 381:113852, 2021

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.158157Z

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Observation 2ae9a4fd-af8a-4ce5-8dbc-2b3813145ff6 · outbound

This paper cites A new family of Constitutive Artificial Neural Networks towards automated model discovery.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling A new family of Constitutive Artificial Neural Networks towards automated model discovery

Reference 26

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Observation c1def033-c958-46fb-9616-5fdbef8f6a79 · outbound

This paper cites Theory and implemen- tation of inelastic constitutive artificial neural networks.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Theory and implemen- tation of inelastic constitutive artificial neural networks

Reference 27

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Observation 215f2dcb-3706-4fa0-8038-9e60f929889e · outbound

This paper cites S.t Pierre, Divya Rajasekharan, Ethan C.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling S.t Pierre, Divya Rajasekharan, Ethan C

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.117863Z

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Observation 58abe4e6-f9d5-4a60-aa4f-d26c2e11d117 · outbound

This paper cites McCulloch, Skyler R.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling McCulloch, Skyler R

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.105184Z

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Observation 25d206ab-9466-4e9f-bde1-6c8e121e9b58 · outbound

This paper cites Automated model discovery for tensional homeostasis: Constitutive machine learning in growth and remodeling.Computers in Biology and Medicine, 186:109691, 2025.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Automated model discovery for tensional homeostasis: Constitutive machine learning in growth and remodeling.Computers in Biology and Medicine, 186:109691, 2025

Reference 30

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Observation 813fc839-1c7f-4480-9a63-a9652c3ccf46 · outbound

This paper cites Symbolic regression in materials science.MRS Communications, 9(3):793–805, 2019.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Symbolic regression in materials science.MRS Communications, 9(3):793–805, 2019

Reference 31

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Observation d12d5ffb-795c-4a77-9f4e-9ac3a564167c · outbound

This paper cites Automaticgenerationofinterpretablehypere- lastic material models by symbolic regression.International Journal for Numerical Methods in Engineering, 124(9):2093–2104, 2023.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Automaticgenerationofinterpretablehypere- lastic material models by symbolic regression.International Journal for Numerical Methods in Engineering, 124(9):2093–2104, 2023

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.077721Z

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Observation 95e22a62-354d-4d8c-a14c-335231cc8876 · outbound

This paper cites KAN: Kolmogorov-Arnold Networks.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling KAN: Kolmogorov-Arnold Networks

Reference 33

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Observation afbf7a83-a9e0-4889-827b-25bdee9d51fa · outbound

This paper cites KAN 2.0: Kolmogorov-Arnold Networks Meet Science.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling KAN 2.0: Kolmogorov-Arnold Networks Meet Science

Reference 34

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Observation fac36deb-ee1a-4e09-a5b6-4827650f8e9d · outbound

This paper cites Nonlinear solid mechanics: a continuum approach for engineering science.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Nonlinear solid mechanics: a continuum approach for engineering science

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.064781Z

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Observation 67db78c9-cd65-4c6d-a364-d3ca9f7a03ae · outbound

This paper cites Kearsley.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Kearsley

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.051412Z

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Observation 1c08a71e-9dd0-49df-80cf-f7decaea9bc5 · outbound

This paper cites Arruda and Mary C.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Arruda and Mary C

Reference 37

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Observation 080dacf3-d4e3-423d-b60b-287531512b39 · outbound

This paper cites Springer Berlin Heidelberg, Berlin, Heidelberg, 1984.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Springer Berlin Heidelberg, Berlin, Heidelberg, 1984

Reference 38

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Observation 0b543581-063b-456e-bc7d-ca8d4c74b854 · outbound

This paper cites Ogden.Nonlinear Elastic Deformations.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Ogden.Nonlinear Elastic Deformations

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.025524Z

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Observation b55d6e4b-32fb-43ed-af8f-6203530228ef · outbound

This paper cites Nonlinear material design using principal stretches.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Nonlinear material design using principal stretches

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.015010Z

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Observation 9edf51e5-5027-4369-9d0f-eb17eedf2b3c · outbound

This paper cites Valanis and Robert F.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Valanis and Robert F

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:38.004125Z

Source-reported events for the cited work

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Observation a7b8c91d-44a8-4ad5-9b00-3ada11ab68d0 · outbound

This paper cites Theoretical and numerical formulation of a molecular based constitutive tube-model of rubber elasticity.Computational and Theoretical Polymer Science, 7(3-4):227–241, 1997.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Theoretical and numerical formulation of a molecular based constitutive tube-model of rubber elasticity.Computational and Theoretical Polymer Science, 7(3-4):227–241, 1997

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.991341Z

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Observation e288bc37-e4ca-45d2-8b0d-9419b3275d7d · outbound

This paper cites an unresolved cited work.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-08T18:32:37.977256Z

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Observation 1b9b24e8-907f-4ae2-996b-29024b005a36 · outbound

This paper cites Attard and Giles W.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Attard and Giles W

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.961651Z

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Observation a01010eb-2efa-47ff-9414-7e4bb6971501 · outbound

This paper cites Ehret and Alberto Stracuzzi.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Ehret and Alberto Stracuzzi

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.948179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a957a19c-9e10-4950-bd3b-a8bac1163535 · outbound

This paper cites An extended tube-model for rubber elasticity: Statistical-mechanical theory and finite element implementation.Rubber Chemistry and Technology, 72(4):602–632, 1999.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling An extended tube-model for rubber elasticity: Statistical-mechanical theory and finite element implementation.Rubber Chemistry and Technology, 72(4):602–632, 1999

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.933566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 294e9eaf-33d2-4e45-a71f-0aeeaad8a4ba · outbound

This paper cites A general constitutive model of soft elastomers.Journal of the Mechanics and Physics of Solids, 117:110–122, 2018.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling A general constitutive model of soft elastomers.Journal of the Mechanics and Physics of Solids, 117:110–122, 2018

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.918689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4d9bcdf2-c837-46a9-aa07-583388a0f769 · outbound

This paper cites Davidson and N.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Davidson and N

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.904968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1a51fa55-70f5-4ae3-9e63-b9cf19e7d7d6 · outbound

This paper cites Tensor Algebra and Tensor Analysis for Engineers.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Tensor Algebra and Tensor Analysis for Engineers

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.891156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2afa38b1-d46d-4531-8a86-f3b37c933a88 · outbound

This paper cites MonoKAN: Certified Monotonic Kolmogorov- Arnold Network.arXiv preprint arXiv:2409.11078, 2024.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling MonoKAN: Certified Monotonic Kolmogorov- Arnold Network.arXiv preprint arXiv:2409.11078, 2024

Reference 50

Resolution: verified exact; raw_fallback, observed 2026-08-08T18:32:37.092337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cb1d94d3-ad43-4a27-bbdb-4983405e7538 · outbound

This paper cites an unresolved cited work.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-08-08T18:32:37.879307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8738b7f9-98e0-4c68-858e-7aae16d59193 · outbound

This paper cites Tei, and Hiromichi Kawai.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Tei, and Hiromichi Kawai

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.866797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation faa07ed8-898d-4c2f-bfc8-12fab05be008 · outbound

This paper cites Holzapfel, and Ellen Kuhl.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Holzapfel, and Ellen Kuhl

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.843319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a9212bbf-f93c-48ee-86d3-fb05b081b474 · outbound

This paper cites Ecoflex polymer of different Shore hardnesses: Exper- imental investigations and constitutive modelling.Mechanics of Materials, 144:103366, 2020.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Ecoflex polymer of different Shore hardnesses: Exper- imental investigations and constitutive modelling.Mechanics of Materials, 144:103366, 2020

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.786282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d1673196-3e20-4ad7-8493-7fefb27d5f41 · outbound

This paper cites Hyperelastic models for rubber-like materials: Consistent tangent operators and suitability for Treloar’s data.Archive of Applied Mechanics, 82(9):1183– 1217, 2012.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Hyperelastic models for rubber-like materials: Consistent tangent operators and suitability for Treloar’s data.Archive of Applied Mechanics, 82(9):1183– 1217, 2012

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.731245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 53b92d70-fb9b-428b-be0c-fc082023d948 · outbound

This paper cites Comparison of hyperelastic models for rubber-like materials.Rubber Chemistry and Technology, 79(5):835–858, 2006.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Comparison of hyperelastic models for rubber-like materials.Rubber Chemistry and Technology, 79(5):835–858, 2006

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.669790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2788848b-a2cf-499f-a3de-324ebb0f41b8 · outbound

This paper cites Amores, José M.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Amores, José M

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.613725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 14eef8dc-e19f-4a3c-afb1-f7f8058b3c6a · outbound

This paper cites Analytical network-averaging of the tube model: Rubber elasticity.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Analytical network-averaging of the tube model: Rubber elasticity

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.597978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b21f38a2-eb33-49a3-af4f-137f1617e4ef · outbound

This paper cites Kohnert, Melanie Bauer, Friedrich P.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Kohnert, Melanie Bauer, Friedrich P

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.585555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c4e8ef48-077b-4528-92d0-e359c971f3ef · outbound

This paper cites Angela Mihai, Silvia Budday, Gerhard A.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Angela Mihai, Silvia Budday, Gerhard A

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.573178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation daefa123-cc6e-4c20-8947-369da23cd442 · outbound

This paper cites Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models.Philosophical transactions.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models.Philosophical transactions

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.559700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d23f4ab1-6787-42d4-9712-3b74c1b692c3 · outbound

This paper cites I too I2: A new class of hyperelastic isotropic incompressible models based solely on the second invariant.Journal of the Mechanics and Physics of Solids, 188:105670, 2024.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling I too I2: A new class of hyperelastic isotropic incompressible models based solely on the second invariant.Journal of the Mechanics and Physics of Solids, 188:105670, 2024

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.545925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d51a9284-e047-40ba-970a-79371701c2c0 · outbound

This paper cites Hopf, Daniela Sibilio, Aldo Ferrari, Alexander E.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Hopf, Daniela Sibilio, Aldo Ferrari, Alexander E

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.533008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 04549e8a-563f-4d1e-8a08-f7678669324d · outbound

This paper cites Case, Edward L.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Case, Edward L

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.519855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8183ebc1-4002-4ba6-b1b6-f8b35d1b6360 · outbound

This paper cites Stretchable CNTs- Ecoflex Composite as Variable-Transmittance Skin for Ultrasensitive Strain Sensing.Advanced Materials Technologies, 3(12):1800248, 2018.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Stretchable CNTs- Ecoflex Composite as Variable-Transmittance Skin for Ultrasensitive Strain Sensing.Advanced Materials Technologies, 3(12):1800248, 2018

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.507450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 13e748b3-a428-40d1-8850-b6cffc869761 · outbound

This paper cites an unresolved cited work.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Unresolved cited work

Reference 66

Resolution: unresolved; raw_fallback, observed 2026-08-08T18:32:37.493045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dff66149-a047-4edc-8a24-64a0ab20425e · outbound

This paper cites Fatigue of soft fibrous tissues: Multi-scale mechanics and constitutive modeling.Acta Biomaterialia, 71:398–410, 2018.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Fatigue of soft fibrous tissues: Multi-scale mechanics and constitutive modeling.Acta Biomaterialia, 71:398–410, 2018

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.480098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ede1b3b4-7e6b-4e6f-aeec-2aa1a2fb511a · outbound

This paper cites an unresolved cited work.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Unresolved cited work

Reference 68

Resolution: unresolved; raw_fallback, observed 2026-08-08T18:32:37.466922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fee2c0ae-27df-451d-8138-24fc76a59d2e · outbound

This paper cites Brunton, Joshua L.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Brunton, Joshua L

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.443762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e89102a8-797a-4f91-a606-bd54fa5f6718 · outbound

This paper cites Brunton and J.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Brunton and J

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.387265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7bdae580-5834-4d26-a081-c6cb1bdb8052 · outbound

This paper cites Meta-learning in neural net- works: A survey.IEEE transactions on pattern analysis and machine intelligence, 44(9):5149–5169, 2021.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Meta-learning in neural net- works: A survey.IEEE transactions on pattern analysis and machine intelligence, 44(9):5149–5169, 2021

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.343319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f27d276c-7ccb-429c-8a23-60884b982a4b · outbound

This paper cites Kalina, Jörg Brummund, WaiChing Sun, and Markus Kästner.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Kalina, Jörg Brummund, WaiChing Sun, and Markus Kästner

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.328564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2fca66fe-29df-4115-b3b2-6ed2c153172b · outbound

This paper cites Klein, Oliver Weeger, and Peter Betsch.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Klein, Oliver Weeger, and Peter Betsch

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.315964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c74a5975-248d-4eb5-bb9c-69336ad7d622 · outbound

This paper cites Fritsch and Ralph E.

Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling Fritsch and Ralph E

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:32:37.302883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation cb1de51b-0182-45f5-9b84-51f0d9e72e96 · inbound

Non-smooth optimization meets automated material model discovery cites this paper.

Non-smooth optimization meets automated material model discovery Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-06T17:42:58.723667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0b46229-3062-4f88-9eb2-d967c60273d6 · inbound

Inelastic Constitutive Kolmogorov-Arnold Networks: A generalized framework for automated discovery of interpretable inelastic material models cites this paper.

Inelastic Constitutive Kolmogorov-Arnold Networks: A generalized framework for automated discovery of interpretable inelastic material models Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-02T22:19:21.795648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d287ff8-ef61-49c1-9c14-3405af9e8dd3 · inbound

Physics-Informed Reduced-Order Operator Learning for Hyperelasticity in Continuum Micromechanics cites this paper.

Physics-Informed Reduced-Order Operator Learning for Hyperelasticity in Continuum Micromechanics Constitutive Kolmogorov-Arnold Networks (CKANs): Combining Accuracy and Interpretability in Data-Driven Material Modeling

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-11T03:05:52.776799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.