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Paper Citation Record · LEDGER

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy

As of 16 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.03062.

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

pith.paper-citation-record.v1
1908.03062 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:55:28.978355Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

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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: cited_works

Reference resolution

27 of 27 outbound references displayed

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External citation measurements

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Outbound references

Observation 599a56b6-8197-4912-b907-396e5e5f3448 · outbound

This paper cites Classical mechanics.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Classical mechanics

Reference 1

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This paper cites Variational principles of continuum mechanics: I.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Variational principles of continuum mechanics: I

Reference 2

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This paper cites Theory of Sound.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Theory of Sound

Reference 3

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This paper cites Reciprocal relations in irreversible processes.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Reciprocal relations in irreversible processes

Reference 4

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This paper cites Thermoelasticity and irreversible thermodynamics.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Thermoelasticity and irreversible thermodynamics

Reference 5

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This paper cites Variational principles in heat transfer: a unified Lagrang ian analysis of dissipative phenomena.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Variational principles in heat transfer: a unified Lagrang ian analysis of dissipative phenomena

Reference 6

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This paper cites Beyond equilibrium thermodynamics.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Beyond equilibrium thermodynamics

Reference 7

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Observation b6d1a212-9d64-4e1a-805f-ee2fe2462f52 · outbound

This paper cites Dissipative Hamiltonian systems: a unifying principle.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Dissipative Hamiltonian systems: a unifying principle

Reference 8

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This paper cites A paradigm for joined Hamiltonian and dissipative syst ems.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy A paradigm for joined Hamiltonian and dissipative syst ems

Reference 9

Resolution
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Observation 9c2c4aec-ab0c-49e0-900b-7e420fa4411c · outbound

This paper cites A Lagrangian–Hamiltonian unified formalism for a class of dis sipative systems.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy A Lagrangian–Hamiltonian unified formalism for a class of dis sipative systems

Reference 10

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Observation a35f1c68-6244-4d7e-b5ff-9ac5889dcff4 · outbound

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

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Variational principles for linear initial-value problems

Reference 11

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This paper cites A variational formulation of the coup led thermo-mechanical boundary- value problem for general dissipative solids.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy A variational formulation of the coup led thermo-mechanical boundary- value problem for general dissipative solids

Reference 12

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An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Variational integrators a nd the Newmark algorithm for conser- vative and dissipative mechanical systems

Reference 13

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This paper cites The Euler-Poin car´ e equations and double bracket dissipation.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy The Euler-Poin car´ e equations and double bracket dissipation

Reference 14

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This paper cites A Lagrangian variational formulatio n for nonequilibrium thermodynamics.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy A Lagrangian variational formulatio n for nonequilibrium thermodynamics

Reference 15

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Observation f47fbba4-14db-4747-8f43-f553b7c2c05d · outbound

This paper cites Classical Mechanics of Nonconservative Systems.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Classical Mechanics of Nonconservative Systems

Reference 16

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An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Mechanics with fractional derivatives

Reference 17

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This paper cites Canonical formulation and conservation laws of thermoelasticity without dissi- pation.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Canonical formulation and conservation laws of thermoelasticity without dissi- pation

Reference 18

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This paper cites The method of weighted residuals and variational p rinciples.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy The method of weighted residuals and variational p rinciples

Reference 19

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An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Thermoelasticity without energy dissipation

Reference 20

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An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Heat waves

Reference 21

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An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Mathematical foundations of elasticit y

Reference 22

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This paper cites Mathematical analysis: foundations and a dvanced techniques for functions of several variables.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Mathematical analysis: foundations and a dvanced techniques for functions of several variables

Reference 23

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This paper cites Linearized elasticity as Γ-limit of finite elasticity.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Linearized elasticity as Γ-limit of finite elasticity

Reference 24

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This paper cites Extended irreversible the rmodynamics.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Extended irreversible the rmodynamics

Reference 25

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This paper cites Non-equilibrium thermodynamics.

An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Non-equilibrium thermodynamics

Reference 26

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An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational Hierarchy Hyperbolic conservation laws in continuum physics

Reference 27

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