Paper Citation Record · LEDGER

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem

As of 13 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2507.08008.

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

pith.paper-citation-record.v1
2507.08008 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:59:55.369804Z

measured 17 of 17 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

17 of 17 outbound references displayed

verified exact1
verified fuzzy3
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5cab166c-77f3-4a97-963a-e418917fa298 · outbound

This paper cites A free energy Lagrangian variational formulation of the Navier-Stokes-Fourier system.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem A free energy Lagrangian variational formulation of the Navier-Stokes-Fourier system

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:59:55.568347Z

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 98e8d10e-08fc-40a9-8454-ff9013c69c9b · outbound

This paper cites (1977).Time, Structure and Fluctuations.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem (1977).Time, Structure and Fluctuations

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:59:57.590928Z

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 5336a24e-f3e7-4ddc-9fb8-b23a8c9693b5 · outbound

This paper cites an unresolved cited work.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:59:57.485490Z

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 f77ff1d6-3284-4c8e-bbe6-c4744740e35a · outbound

This paper cites an unresolved cited work.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:59:57.366678Z

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 822983ab-5009-4ad5-9e14-d7dcc1942349 · outbound

This paper cites an unresolved cited work.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:59:57.265594Z

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 99c3d1f1-9ee1-4c3c-8e97-637c9d7f9219 · outbound

This paper cites an unresolved cited work.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:59:57.152312Z

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 f0170cf3-3204-4996-828a-4910eacdbab4 · outbound

This paper cites an unresolved cited work.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:59:57.037513Z

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 7d1a7d0c-0e3e-41db-8d41-c2a2a1ee0317 · outbound

This paper cites an unresolved cited work.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:59:56.897564Z

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 5f92f7ea-ffff-4976-a9ee-f57b5ea0d69c · outbound

This paper cites an unresolved cited work.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:59:56.769224Z

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 7002bcf2-0155-4eac-bcdd-ae83c9b60307 · outbound

This paper cites D., & Lifshitz, E.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem D., & Lifshitz, E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:59:56.668609Z

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 7c067d92-5282-4dab-9c8b-7ae2b6fda75b · outbound

This paper cites an unresolved cited work.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:59:56.559239Z

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 d41ac284-3bf4-4b0a-82aa-530e34d497da · outbound

This paper cites an unresolved cited work.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:59:56.397586Z

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 fba47dde-4993-406c-957d-10bf72b7ed59 · outbound

This paper cites an unresolved cited work.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:59:56.234563Z

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 b4694c5d-dbe1-4af0-8a37-87d6e3c97de2 · outbound

This paper cites an unresolved cited work.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:59:56.088276Z

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 a504fee8-a0df-4f11-9251-a99884351d03 · outbound

This paper cites an unresolved cited work.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:59:55.936861Z

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 4de3e994-20f9-4e32-991b-2be41721f190 · outbound

This paper cites M., & Seleznev, V.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem M., & Seleznev, V

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:59:57.671768Z

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 106e0d7d-881e-4cea-93ee-9c4dbce99b1c · outbound

This paper cites an unresolved cited work.

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:59:55.771796Z

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.