Paper Citation Record · LEDGER

Constitutive Manifold Neural Networks

As of 13 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2506.13648.

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

pith.paper-citation-record.v1
2506.13648 v3

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:34:24.924742Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

48 of 48 outbound references displayed

verified exact7
verified fuzzy34
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fd679056-8ac5-4b33-a8a0-08a4b19e1ded · outbound

This paper cites Field-scale apparent soil electrical conductivity,.

Constitutive Manifold Neural Networks Field-scale apparent soil electrical conductivity,

Reference 1

Resolution: verified exact; doi, observed 2026-08-07T00:34:25.558812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2af50af1-cdb2-44e3-823a-9209d0560ac8 · outbound

This paper cites Stochastic Finite Element Analysis Framework for Mod- elling Mechanical Properties of Particulate Modified Polymer Composites,.

Constitutive Manifold Neural Networks Stochastic Finite Element Analysis Framework for Mod- elling Mechanical Properties of Particulate Modified Polymer Composites,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:36.895598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ea46d6ed-d401-4d98-b68f-750d0321f10b · outbound

This paper cites A principled approach to conductivity uncertainty analysis in electric field calculations,.

Constitutive Manifold Neural Networks A principled approach to conductivity uncertainty analysis in electric field calculations,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:36.569186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 64d8ed83-bb74-4638-a097-935130514d06 · outbound

This paper cites An Introduction to Tensors for Students of Physics and Engineering,.

Constitutive Manifold Neural Networks An Introduction to Tensors for Students of Physics and Engineering,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:36.346688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 67e53e0d-9afd-4f1a-b3b5-9b89ce44fd5d · outbound

This paper cites A review on lightweight materials for defence applications: Present and future de- velopments,.

Constitutive Manifold Neural Networks A review on lightweight materials for defence applications: Present and future de- velopments,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:36.092566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 45bf7871-12d3-488c-ad76-d981296f14f6 · outbound

This paper cites Electrical Properties Tomogra- phy: A Methodological Review,.

Constitutive Manifold Neural Networks Electrical Properties Tomogra- phy: A Methodological Review,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:35.756528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8c79a76d-988a-4fb5-9ed6-6bfc63881e98 · outbound

This paper cites Digital mapping of GlobalSoilMap soil properties at a broad scale: A review,.

Constitutive Manifold Neural Networks Digital mapping of GlobalSoilMap soil properties at a broad scale: A review,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:35.509520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1e962201-a2bb-4238-8b4e-d99d61391c76 · outbound

This paper cites Itskov, Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics.

Constitutive Manifold Neural Networks Itskov, Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:35.275308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4846454a-c121-4caa-bf25-bcc2d1af84f8 · outbound

This paper cites Modeling variability of the electrical conduc- tivity tensor for the induction welding of composites,.

Constitutive Manifold Neural Networks Modeling variability of the electrical conduc- tivity tensor for the induction welding of composites,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T00:34:19.483014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c933c1f-dda5-409b-b7a9-13e5aff60588 · outbound

This paper cites Stochastic modelling of symmetric positive definite material tensors,.

Constitutive Manifold Neural Networks Stochastic modelling of symmetric positive definite material tensors,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:34.985646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d6eb8558-9b3d-45b4-a56b-fd8959169167 · outbound

This paper cites Modern Monte Carlo methods for efficient uncertainty quantification and propaga- tion: A survey,.

Constitutive Manifold Neural Networks Modern Monte Carlo methods for efficient uncertainty quantification and propaga- tion: A survey,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T00:34:19.803671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d992b341-2077-4b8f-abb9-734eb2e368c9 · outbound

This paper cites Lataniotis, Data-driven uncertainty quantification for high-dimensional engineering problems.

Constitutive Manifold Neural Networks Lataniotis, Data-driven uncertainty quantification for high-dimensional engineering problems

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:34.651760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0b87e5c3-2c5a-4ad5-9d70-cd286744a810 · outbound

This paper cites A comparison between (quasi-)Monte Carlo and cubature rule based methods for solving high-dimensional integration problems,.

Constitutive Manifold Neural Networks A comparison between (quasi-)Monte Carlo and cubature rule based methods for solving high-dimensional integration problems,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:34.300166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 511a3394-9386-4dd8-8c8b-3bc121ba8375 · outbound

This paper cites Kriging, Polynomial Chaos Expansion, and Low-Rank Approximations in Material Science and Big Data Analytics,.

Constitutive Manifold Neural Networks Kriging, Polynomial Chaos Expansion, and Low-Rank Approximations in Material Science and Big Data Analytics,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:33.994749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f0276642-b4b2-4714-afe8-848cf4ac3fe9 · outbound

This paper cites Surrogate models for uncertainty quantification: An overview,.

Constitutive Manifold Neural Networks Surrogate models for uncertainty quantification: An overview,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:33.745329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 54c87132-079d-4c88-bd89-8070df6a3ebb · outbound

This paper cites Solving multiphysics-based inverse prob- lems with learned surrogates and constraints,.

Constitutive Manifold Neural Networks Solving multiphysics-based inverse prob- lems with learned surrogates and constraints,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:33.467988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5491c99b-b545-4283-80b5-b10dd813f20b · outbound

This paper cites A review of uncertainty quan- tification in deep learning: Techniques, applications and challenges,.

Constitutive Manifold Neural Networks A review of uncertainty quan- tification in deep learning: Techniques, applications and challenges,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:33.284297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b482185d-d77a-45ed-a15b-b1fd0b345dd8 · outbound

This paper cites Deep UQ: Learning deep neural network surrogate models for high dimensional uncertainty quantification,.

Constitutive Manifold Neural Networks Deep UQ: Learning deep neural network surrogate models for high dimensional uncertainty quantification,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:32.993732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a60d7c52-9ea8-4d9c-868e-c88cba0f191e · outbound

This paper cites Constitu- tive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning,.

Constitutive Manifold Neural Networks Constitu- tive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:32.784823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 15ee4fb1-9833-48c6-a378-ae574bee5543 · outbound

This paper cites Learning constitutive relations using symmetric positive definite neural networks,.

Constitutive Manifold Neural Networks Learning constitutive relations using symmetric positive definite neural networks,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:32.454746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e586c7e1-4d2c-4d3c-845d-9bab1abda3f5 · outbound

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

Constitutive Manifold Neural Networks A new family of Constitutive Artificial Neural Networks towards automated model discovery,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:32.124748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3079d0a6-3058-4592-8ec4-4baadc499397 · outbound

This paper cites Symmetry-enforcing neural networks with applications to constitutive modeling.

Constitutive Manifold Neural Networks Symmetry-enforcing neural networks with applications to constitutive modeling

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:34:27.051180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b3348086-7d33-4411-8be4-638a1310005a · outbound

This paper cites Pennec, P.

Constitutive Manifold Neural Networks Pennec, P

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:31.615418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6b5f1aa0-15c6-4307-9757-796819a35c51 · outbound

This paper cites A Riemannian Framework for Tensor Computing,.

Constitutive Manifold Neural Networks A Riemannian Framework for Tensor Computing,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:31.194751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f2ff6219-ee1d-41de-bf7d-e89601bebf71 · outbound

This paper cites Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder,.

Constitutive Manifold Neural Networks Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:30.903739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 647a7f10-c867-427c-ba4b-8b4ee4eab990 · outbound

This paper cites A Riemannian Network for SPD Matrix Learning.

Constitutive Manifold Neural Networks A Riemannian Network for SPD Matrix Learning

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:34:26.929089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2893690b-bdc0-4215-9449-284395a144b3 · outbound

This paper cites Riemannian batch normalization for SPD neural networks.

Constitutive Manifold Neural Networks Riemannian batch normalization for SPD neural networks

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T00:34:21.999984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6488ad92-c723-4eb1-b207-d2b903228bf3 · outbound

This paper cites Riemannian Residual Neural Networks.

Constitutive Manifold Neural Networks Riemannian Residual Neural Networks

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:34:26.615999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 72bed205-be8f-47bc-992c-8931db0787d8 · outbound

This paper cites A CNN for homogneous Riemannian manifolds with applications to Neuroimaging.

Constitutive Manifold Neural Networks A CNN for homogneous Riemannian manifolds with applications to Neuroimaging

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T00:34:22.186395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b561a5d1-a747-4216-b770-0b48f94cfae8 · outbound

This paper cites Anisotropy respecting constitutive neural net- works,.

Constitutive Manifold Neural Networks Anisotropy respecting constitutive neural net- works,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:30.659332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8718cb30-2b17-43cf-8aa1-7c3971861918 · outbound

This paper cites Reciprocal Relations in Irreversible Processes. I.,.

Constitutive Manifold Neural Networks Reciprocal Relations in Irreversible Processes. I.,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:30.323533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bdb4e6cc-6248-4290-92b9-efbdb861871a · outbound

This paper cites Smooth Manifolds,.

Constitutive Manifold Neural Networks Smooth Manifolds,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:30.073447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5d506987-20d1-4184-a270-40d8fe757119 · outbound

This paper cites Gallier and J.

Constitutive Manifold Neural Networks Gallier and J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:29.812935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3d2302d7-eb2c-4558-a00b-6f4315a9dec3 · outbound

This paper cites Geometries and Interpolations for Symmetric Positive Definite Matri- ces,.

Constitutive Manifold Neural Networks Geometries and Interpolations for Symmetric Positive Definite Matri- ces,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:29.520311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e00a9fb7-1988-4c68-aa63-08a2f47caad6 · outbound

This paper cites an unresolved cited work.

Constitutive Manifold Neural Networks Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:34:29.196345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 46ada19a-6ac3-455b-b530-10b561109325 · outbound

This paper cites A mathematical theory of communication,.

Constitutive Manifold Neural Networks A mathematical theory of communication,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:28.894748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 977e7fe0-3d21-4bab-a0f3-85386131d1e0 · outbound

This paper cites Information Theory and Statistical Mechanics,.

Constitutive Manifold Neural Networks Information Theory and Statistical Mechanics,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:28.689407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 14cc7d6b-cb65-4be1-a1cf-fecfb7ef02af · outbound

This paper cites Geometric Means in a Novel Vector Space Struc- ture on Symmetric Positive-Definite Matrices,.

Constitutive Manifold Neural Networks Geometric Means in a Novel Vector Space Struc- ture on Symmetric Positive-Definite Matrices,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:28.434814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 083013ab-133a-4c62-ad87-0e587671f60d · outbound

This paper cites Dimensionality Reduction on SPD Manifolds: The Emergence of Geometry-Aware Methods.

Constitutive Manifold Neural Networks Dimensionality Reduction on SPD Manifolds: The Emergence of Geometry-Aware Methods

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:34:26.254829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 90b0e596-3477-4e86-aa87-d4e1915e405c · outbound

This paper cites Riemannian metrics for neural networks I: feedforward networks.

Constitutive Manifold Neural Networks Riemannian metrics for neural networks I: feedforward networks

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T00:34:23.624749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 729235f1-9933-4166-b5e8-da6713408bdc · outbound

This paper cites Schwartzman, Random ellipsoids and false discovery rates: statistics for diffusion tensor imaging data.

Constitutive Manifold Neural Networks Schwartzman, Random ellipsoids and false discovery rates: statistics for diffusion tensor imaging data

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:28.277051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e47c200b-4875-4596-bf5a-c257ff1adc7f · outbound

This paper cites Lognormal Distributions and Geometric Averages of Symmetric Positive Def- inite Matrices,.

Constitutive Manifold Neural Networks Lognormal Distributions and Geometric Averages of Symmetric Positive Def- inite Matrices,

Reference 42

Resolution: verified exact; doi, observed 2026-08-07T00:34:25.157825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 167b9b56-8995-4291-b505-0069cc2a1392 · outbound

This paper cites Modeling and experimental in- vestigation of induction welding of thermoplastic composites and comparison with other welding processes,.

Constitutive Manifold Neural Networks Modeling and experimental in- vestigation of induction welding of thermoplastic composites and comparison with other welding processes,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:28.080293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 91651922-407f-416f-9956-2f0f91d1d71f · outbound

This paper cites COMSOL Multiphsyics ® v. 6.2.

Constitutive Manifold Neural Networks COMSOL Multiphsyics ® v. 6.2

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:27.887963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b8b1bd7e-7576-4ef6-8e03-0be29bf69b7d · outbound

This paper cites Optuna: A Next-generation Hyperparameter Optimization Framework.

Constitutive Manifold Neural Networks Optuna: A Next-generation Hyperparameter Optimization Framework

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-07T00:34:24.568049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a00b3c0-7a78-4bcd-92eb-f76a30600c06 · outbound

This paper cites Characterisation of Or- thotropic Electrical Conductivity of Unidirectional C/PAEK Thermoplastic Composites,.

Constitutive Manifold Neural Networks Characterisation of Or- thotropic Electrical Conductivity of Unidirectional C/PAEK Thermoplastic Composites,

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:27.640926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 97909ca2-a617-463a-8ece-c8f4a3e24906 · outbound

This paper cites Simulating the induction heat- ing of cross-ply C/PEKK laminates – sensitivity and effect of material variability,.

Constitutive Manifold Neural Networks Simulating the induction heat- ing of cross-ply C/PEKK laminates – sensitivity and effect of material variability,

Reference 47

Resolution: verified exact; raw_fallback, observed 2026-08-07T00:34:25.913087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 09c97298-c7d1-44f2-a7ba-a26e1f02b2d3 · outbound

This paper cites Enlighten Project.

Constitutive Manifold Neural Networks Enlighten Project

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:27.445875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.