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Paper Citation Record · LEDGER

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables

As of 11 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2605.14179.

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

pith.paper-citation-record.v1
2605.14179 v1

Coverage vector

measured 37 of 37 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

37 of 37 outbound references displayed

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External citation measurements

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Outbound references

Observation 141c83a5-4dab-4c9f-94ad-93fa9b16c131 · outbound

This paper cites Zico Kolter.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Zico Kolter

Reference 1

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This paper cites A mechanics-informed artificial neural network approach in data-driven constitutive modeling.International Journal for Numerical Methods in Engineering, 123 20 (12):2738–2759.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables A mechanics-informed artificial neural network approach in data-driven constitutive modeling.International Journal for Numerical Methods in Engineering, 123 20 (12):2738–2759

Reference 2

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This paper cites As’ad and C.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables As’ad and C

Reference 3

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A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Unresolved cited work

Reference 4

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A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Unresolved cited work

Reference 5

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This paper cites Archive for Rational Mechanics and Analysis63(4), 337–403 (1976) https://doi.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Archive for Rational Mechanics and Analysis63(4), 337–403 (1976) https://doi

Reference 6

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This paper cites American Mathematical Soc.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables American Mathematical Soc

Reference 7

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Observation 0b52df16-f45f-4331-9cec-2d43e47be1dd · outbound

This paper cites Learning markovian homogenized models in viscoelasticity.Multiscale Modeling & Simulation, 21(2):641–679.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Learning markovian homogenized models in viscoelasticity.Multiscale Modeling & Simulation, 21(2):641–679

Reference 8

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This paper cites Brenner and P.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Brenner and P

Reference 9

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This paper cites Coleman and Morton E.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Coleman and Morton E

Reference 10

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This paper cites Convex neural networks learn generalized standard material models.Journal of the Mechanics and Physics of Solids, 200:106103.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Convex neural networks learn generalized standard material models.Journal of the Mechanics and Physics of Solids, 200:106103

Reference 11

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This paper cites Existence results for a class of rate-independent material models with nonconvex elastic energies.Journal f¨ ur die reine und angewandte Mathematik, 2006(595):55–91.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Existence results for a class of rate-independent material models with nonconvex elastic energies.Journal f¨ ur die reine und angewandte Mathematik, 2006(595):55–91

Reference 12

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This paper cites URLhttps://doi.org/10.1515/CRELLE.2006.044.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables URLhttps://doi.org/10.1515/CRELLE.2006.044

Reference 13

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This paper cites Francfort and Pierre M.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Francfort and Pierre M

Reference 14

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This paper cites Horstemeyer and Douglas J.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Horstemeyer and Douglas J

Reference 15

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This paper cites InterdisciplinaryAppliedMathematics.SpringerNewYork.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables InterdisciplinaryAppliedMathematics.SpringerNewYork

Reference 16

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This paper cites A learning-based multiscale model for reactive flow in porous media.Water Resources Research, 60(9):e2023WR036303.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables A learning-based multiscale model for reactive flow in porous media.Water Resources Research, 60(9):e2023WR036303

Reference 17

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This paper cites Adam: A Method for Stochastic Optimization.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Adam: A Method for Stochastic Optimization

Reference 18

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This paper cites K., Fern´ andez, M., Martin, R.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables K., Fern´ andez, M., Martin, R

Reference 19

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A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Cambridge university press

Reference 20

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This paper cites Multiscale modeling of materials: Computing, data science, uncertainty and goal- oriented optimization.Mechanics of Materials, 165:104156.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Multiscale modeling of materials: Computing, data science, uncertainty and goal- oriented optimization.Mechanics of Materials, 165:104156

Reference 21

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This paper cites Learning chaotic dynamics in dissipative systems.Advances in Neural Information Processing Systems, 35:16768–16781.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Learning chaotic dynamics in dissipative systems.Advances in Neural Information Processing Systems, 35:16768–16781

Reference 22

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This paper cites Stuart, and Kaushik Bhattacharya.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Stuart, and Kaushik Bhattacharya

Reference 23

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This paper cites EvolutionTANNandtheidentificationofinternalvariablesandevolutionequationsinsolid mechanics.Journal of the Mechanics and Physics of Solids, 174:105245.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables EvolutionTANNandtheidentificationofinternalvariablesandevolutionequationsinsolid mechanics.Journal of the Mechanics and Physics of Solids, 174:105245

Reference 24

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This paper cites Existence results for energetic models for rate-independent systems.Calculus of Variations and Partial Differential Equations, 22(1):73–99, Jan 2005.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Existence results for energetic models for rate-independent systems.Calculus of Variations and Partial Differential Equations, 22(1):73–99, Jan 2005

Reference 25

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This paper cites URLhttps://doi.org/10.1007/s00526-004-0267-8.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables URLhttps://doi.org/10.1007/s00526-004-0267-8

Reference 26

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Observation 6b5b8cfb-b1bd-4e77-a4d5-d5221a8e9e8f · outbound

This paper cites Mielke, Energetic formulation of multiplicative elasto-plasticity using dissipation distances, Contin.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Mielke, Energetic formulation of multiplicative elasto-plasticity using dissipation distances, Contin

Reference 27

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This paper cites Existence of minimizers in incremental elasto-plasticity with finite strains.SIAM Journal on Mathematical Analysis, 36(2):384–404.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Existence of minimizers in incremental elasto-plasticity with finite strains.SIAM Journal on Mathematical Analysis, 36(2):384–404

Reference 28

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This paper cites Global existence results for viscoplasticity at finite strain.Archive for Rational Mechanics and Analysis, 227(1):423–475, Jan 2018.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Global existence results for viscoplasticity at finite strain.Archive for Rational Mechanics and Analysis, 227(1):423–475, Jan 2018

Reference 29

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This paper cites Computer Methods in Applied Mechanics and Engineering171(3–4), 419–444 (1999) https://doi.org/10.1016/S0045-7825(98)00219-9.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Computer Methods in Applied Mechanics and Engineering171(3–4), 419–444 (1999) https://doi.org/10.1016/S0045-7825(98)00219-9

Reference 30

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This paper cites Pytorch: An imperative style, high-performance deep learning library.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Pytorch: An imperative style, high-performance deep learning library

Reference 31

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Observation f73f2967-41c2-4ea1-8cda-bfb605621afd · outbound

This paper cites Springer Science & Business Media.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Springer Science & Business Media

Reference 32

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Observation 54694198-b2ec-4a10-b4c7-ed110c4777e0 · outbound

This paper cites Approximation theory of the mlp model in neural networks.Acta numerica, 8:143–195.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Approximation theory of the mlp model in neural networks.Acta numerica, 8:143–195

Reference 33

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Observation af22ea1b-a020-4882-acac-278d817731b6 · outbound

This paper cites an unresolved cited work.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Unresolved cited work

Reference 34

Resolution
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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This paper cites URLhttps://www.sciencedirect.com/ science/article/pii/002250967190010X.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables URLhttps://www.sciencedirect.com/ science/article/pii/002250967190010X

Reference 35

Resolution
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 5f91b1cd-6718-4b74-81fc-ce11ccace838 · outbound

This paper cites Polyconvex energies for trigonal, tetragonal and cubic symmetry groups.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Polyconvex energies for trigonal, tetragonal and cubic symmetry groups

Reference 36

Resolution
verified fuzzy
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Source-reported events for the cited work

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This paper cites Springer.

A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables Springer

Reference 37

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Pith citing papers

No inbound Pith citation observations are available.