Paper Citation Record · LEDGER

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials

As of 14 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2606.24782.

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

pith.paper-citation-record.v1
2606.24782 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-25T23:09:32.905341Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

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Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

26 of 26 outbound references displayed

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External citation measurements

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Outbound references

Observation f76cb213-246d-4bc8-a5ff-a288e15cb5a9 · outbound

This paper cites A dual variational principle for nonlinear dislocation dynamics.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials A dual variational principle for nonlinear dislocation dynamics

Reference 1

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Observation 4da4b9a5-f449-4d94-b2e9-4975957862d7 · outbound

This paper cites A Hidden Convexity in Continuum Mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials A Hidden Convexity in Continuum Mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-07-04T18:00:01.290431Z

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Observation 7ac35aaa-f727-4aa6-bba6-804cc44fe7cb · outbound

This paper cites Variational principle for nonlinear PDE systems via duality.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Variational principle for nonlinear PDE systems via duality

Reference 3

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Observation 39f5c587-113b-4693-a434-f00ae0254769 · outbound

This paper cites A convex variational principle for the necessary conditions of classical optimal control.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials A convex variational principle for the necessary conditions of classical optimal control

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-04T18:00:01.287289Z

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Observation 51ae68da-dd07-4387-8da9-f72c51ba81fe · outbound

This paper cites Variational Dual Solutions of Chern-Simons Theory.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Variational Dual Solutions of Chern-Simons Theory

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-04T18:00:01.284488Z

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Observation 228447a9-36e6-40c7-a3f0-1a5c2fc55c1f · outbound

This paper cites Action principles for dissipative, non-holonomic Newtonian mechanics.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Action principles for dissipative, non-holonomic Newtonian mechanics

Reference 6

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Observation 59c4a390-edf8-4afa-86d1-44858f14a9af · outbound

This paper cites Variational Dual Solutions for In- compressible Fluids.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Variational Dual Solutions for In- compressible Fluids

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-04T18:00:01.293091Z

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Observation 87b8b8e2-97e9-475b-b4df-0983e5e754c3 · outbound

This paper cites The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem

Reference 8

Resolution: verified exact; doi, observed 2026-06-27T01:10:21.357641Z

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Observation 7d380466-b106-4d33-8cb9-b605726a24b5 · outbound

This paper cites Classical mechanics of nonconservative systems.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Classical mechanics of nonconservative systems

Reference 9

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Observation bff3c46d-257c-43ff-8326-b24b409b44a7 · outbound

This paper cites Variational principles for linear initial-value problems.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Variational principles for linear initial-value problems

Reference 10

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Observation 8ba82a32-b48f-4279-a104-68c7871e118f · outbound

This paper cites A variational approach to the theory of the elastic behaviour of polycrystals.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials A variational approach to the theory of the elastic behaviour of polycrystals

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-25T23:09:32.905341Z

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Observation 2ec1c85c-938f-45d8-bbe6-36c1924aa4db · outbound

This paper cites Hamilton revised: The action principle for initial value problems.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Hamilton revised: The action principle for initial value problems

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-07-04T18:00:01.296162Z

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Observation 158083cf-2736-4a45-883d-a579f4ceca44 · outbound

This paper cites Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-25T23:09:32.905341Z

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Observation 17e9be3d-b47d-4097-a815-04c7717c88c2 · outbound

This paper cites Inviscid Burgers as a degenerate elliptic problem.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Inviscid Burgers as a degenerate elliptic problem

Reference 14

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Observation fbe5b06b-79d5-4eb9-bffe-abef0f5ac597 · outbound

This paper cites Traveling wave profiles for a semi-discrete Burgers equation.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Traveling wave profiles for a semi-discrete Burgers equation

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-04T18:00:01.299122Z

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Observation 6c8462a6-6640-48ba-8b60-080b73b6bae7 · outbound

This paper cites Minimization variational principles for acous- tics, elastodynamics and electromagnetism in lossy inhomogeneous bodies at fixed frequency.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Minimization variational principles for acous- tics, elastodynamics and electromagnetism in lossy inhomogeneous bodies at fixed frequency

Reference 16

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Observation f58ed888-4715-4245-af1a-08f413182c41 · outbound

This paper cites A fast numerical method for computing the linear and nonlinear mechanical properties of composites.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials A fast numerical method for computing the linear and nonlinear mechanical properties of composites

Reference 17

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Observation 32eb1ce0-0eeb-41ff-a379-5de6132e6475 · outbound

This paper cites Uniqueness of solutions to degenerate elliptic problems with un- bounded coefficients.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Uniqueness of solutions to degenerate elliptic problems with un- bounded coefficients

Reference 18

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Observation c0a97741-de79-41b2-9327-e5716513f5a0 · outbound

This paper cites Odd elasticity.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Odd elasticity

Reference 19

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Observation f74279be-8112-4534-b7ac-aff0e7c3c9e2 · outbound

This paper cites A hidden convexity of nonlinear elas- ticity.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials A hidden convexity of nonlinear elas- ticity

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-25T23:09:32.905341Z

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Observation 1c33b5fa-3932-4ec1-865d-5607d1f9b43a · outbound

This paper cites Variational formulation based on duality to solve partial differential equations: Use of B-splines and machine learning approximants.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Variational formulation based on duality to solve partial differential equations: Use of B-splines and machine learning approximants

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-25T23:09:32.905341Z

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Observation ac0fd8f5-ce1d-4438-b866-49803bf3d054 · outbound

This paper cites Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems

Reference 22

Resolution: verified exact; doi, observed 2026-06-27T01:10:21.359359Z

Source-reported events for the cited work

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Observation 6d188410-dc5a-4bcd-a10d-90101b857838 · outbound

This paper cites On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-07-23T02:24:07.531724Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 81d39e2a-9c0e-4edf-b24e-574c3be8f949 · outbound

This paper cites Polarization approach to the scattering of elastic waves—I. Scattering by a single inclusion.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Polarization approach to the scattering of elastic waves—I. Scattering by a single inclusion

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-25T23:09:32.905341Z

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Observation c1bef477-4994-4a41-9340-5bf50c9feeaa · outbound

This paper cites Variational principles for dynamic problems for inhomogeneous elastic me- dia.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Variational principles for dynamic problems for inhomogeneous elastic me- dia

Reference 25

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Observation e3dcbc01-ac21-4548-9f18-c36802b38acb · outbound

This paper cites Zeidler.Applied Functional Analysis: Main Principles and their Applications.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Zeidler.Applied Functional Analysis: Main Principles and their Applications

Reference 26

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