Paper Citation Record · LEDGER

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle

As of 15 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1909.00396.

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

pith.paper-citation-record.v1
1909.00396 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T06:01:55.543152Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

29 of 29 outbound references displayed

verified exact14
verified fuzzy4
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch5

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ec9853dd-cc9b-4bd3-9daa-f550f472ab95 · outbound

This paper cites an unresolved cited work.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T06:01:56.556775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3a667394-2f11-4cc9-8370-f09f48bf3d67 · outbound

This paper cites an unresolved cited work.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T06:01:56.536473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation df4403c3-71b2-41ba-b9f8-be8bf78b4bdc · outbound

This paper cites Fourier's Law: a Challenge for Theorists.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Fourier's Law: a Challenge for Theorists

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:01:56.295671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6977d196-af66-4087-8388-9581f98a2297 · outbound

This paper cites Fourier's Law from Closure Equations.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Fourier's Law from Closure Equations

Reference 4

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T06:01:56.261219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 09636710-2237-4775-ba77-37d9585d2c83 · outbound

This paper cites How can we derive Fourier's Law from quantum mechanics? Exact master equation analysis.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle How can we derive Fourier's Law from quantum mechanics? Exact master equation analysis

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:01:56.232915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 59813f8e-1533-485b-b091-b908b40184f7 · outbound

This paper cites Emergence of the Macroscopic Fourier Law from the Microscopic Wave Equation of Diffusive Medium.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Emergence of the Macroscopic Fourier Law from the Microscopic Wave Equation of Diffusive Medium

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:01:56.202484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bdc46206-bdc8-46f4-903e-b5b454fa12dc · outbound

This paper cites A mechanical model for Fourier's law of heat conduction.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle A mechanical model for Fourier's law of heat conduction

Reference 7

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T06:01:56.163547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3988d5f5-8f98-4bb2-bcd8-896b9ffb2f1d · outbound

This paper cites Heat transport through a quantum Brownian harmonic chain beyond the weak-coupling regime: An exact treatment.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Heat transport through a quantum Brownian harmonic chain beyond the weak-coupling regime: An exact treatment

Reference 8

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T06:01:56.133638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9151b970-a785-4f86-a3c3-a19532b8c3df · outbound

This paper cites Theory and applications of the relativistic Boltzmann equation.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Theory and applications of the relativistic Boltzmann equation

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:01:56.104943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 72c73cc1-4ad0-4211-8098-26b42fc1e717 · outbound

This paper cites Steady-State Heat Transport: Ballistic-to-Diffusive with Fourier's Law.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Steady-State Heat Transport: Ballistic-to-Diffusive with Fourier's Law

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:01:56.071870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1c60c54f-30d5-4ce7-8201-b24680ecbedd · outbound

This paper cites Extending the range of validity of Fourier's law into the kinetic transport regime via asymptotic solution of the phonon Boltzmann transport equation.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Extending the range of validity of Fourier's law into the kinetic transport regime via asymptotic solution of the phonon Boltzmann transport equation

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:01:56.043821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 85086763-181f-4501-a7d2-086c44c55149 · outbound

This paper cites On Unsteady Heat Conduction in a Harmonic Crystal.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle On Unsteady Heat Conduction in a Harmonic Crystal

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:01:56.002943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 17933da6-d8e0-4a84-8280-1a104b8d767a · outbound

This paper cites Heat conduction and the nonequilibrium stationary states of stochastic energy exchange processes.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Heat conduction and the nonequilibrium stationary states of stochastic energy exchange processes

Reference 13

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T06:01:55.974503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 03a9a0f7-bf4e-47e2-9ab3-f153b8955005 · outbound

This paper cites The Fourier heat conduction as a strong kinetic effect.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle The Fourier heat conduction as a strong kinetic effect

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:01:55.942167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 86e3d3aa-35fa-4bfd-9971-0a9c77487849 · outbound

This paper cites an unresolved cited work.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Unresolved cited work

Reference 15

Resolution: verified exact; raw_fallback, observed 2026-08-14T06:01:55.910644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1e2c3b2d-c6fc-45f9-b14b-716a610badba · outbound

This paper cites Experimental demonstration of a generalized Fourier's Law for non-diffusive thermal transport.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Experimental demonstration of a generalized Fourier's Law for non-diffusive thermal transport

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:01:55.752736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 678899c6-939d-42e2-a200-def7d4903704 · outbound

This paper cites van Leeuwen, Phys.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle van Leeuwen, Phys

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:01:56.511653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 650fadda-3e2c-48f3-af07-296e000fb532 · outbound

This paper cites Density-Functional Theory of Thermoelectric Phenomena.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Density-Functional Theory of Thermoelectric Phenomena

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:01:55.725796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3e64e8a5-bd86-44c4-a815-cd4c44778ea5 · outbound

This paper cites Luttinger-field approach to thermoelectric transport in nanoscale conductors.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Luttinger-field approach to thermoelectric transport in nanoscale conductors

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:01:55.692724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 13355422-4ef2-4114-a099-4bf7fbdb47f9 · outbound

This paper cites Functional theories of thermoelectric phenomena.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Functional theories of thermoelectric phenomena

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:01:55.669381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 791192ca-7147-4598-a0e5-1e8850a4aa50 · outbound

This paper cites Luttinger, Phys.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Luttinger, Phys

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:01:56.477053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6bb26326-af56-44a8-b8a5-489e3222dcb6 · outbound

This paper cites an unresolved cited work.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T06:01:56.445875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 21616543-be88-4bd9-a676-02b5b94d4f7c · outbound

This paper cites an unresolved cited work.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T06:01:56.415797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8b8201aa-b2ad-4223-98ca-899b4cd8ea03 · outbound

This paper cites Eyring, D.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Eyring, D

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:01:56.382493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c116187d-b18e-4f8b-8e86-5a4733a8eb30 · outbound

This paper cites Itzikson and J.-B.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Itzikson and J.-B

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:01:56.348093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 109b8741-c77f-4edc-b25e-2122032143b2 · outbound

This paper cites an unresolved cited work.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T06:01:56.317035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8df1e3e7-93d0-468b-8337-68b671eec650 · outbound

This paper cites Diagrammatic Expansion for Positive Spectral Functions in the Steady-State Limit.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Diagrammatic Expansion for Positive Spectral Functions in the Steady-State Limit

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-14T06:01:55.644194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 51aa2ea5-7a33-487b-8aae-20089996a654 · outbound

This paper cites Thermal Evolution of Neutron Stars as a Probe of Physics beyond the Standard Model.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle Thermal Evolution of Neutron Stars as a Probe of Physics beyond the Standard Model

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-14T06:01:55.538046Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8c2c0d0-b79e-4a48-ba9e-fa91e2e9a007 · outbound

This paper cites On the possible distributions of temperature in nonequilibrium steady states.

Phonon Gravity, Non-equilibrium QFT, and the Tolman Thermal Equivalence Principle On the possible distributions of temperature in nonequilibrium steady states

Reference 29

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T06:01:55.596992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.