Paper Citation Record · LEDGER

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability

As of 19 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2412.03712.

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

pith.paper-citation-record.v1
2412.03712 v2

Coverage vector

measured 43 of 43 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-11T22:18:14.384211Z

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Reference resolution

43 of 43 outbound references displayed

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External citation measurements

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Outbound references

Observation 614855a4-d2e2-4805-b080-aa7f0909f71d · outbound

This paper cites The other three roots are obtained from the ansatzs = kry(k) with y a smooth 7 function of k which converges to y0 ̸= 0 as k → 0.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability The other three roots are obtained from the ansatzs = kry(k) with y a smooth 7 function of k which converges to y0 ̸= 0 as k → 0

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:15.197958Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ce88f380-446f-451b-9092-1724e6830da6 · outbound

This paper cites (B1) written as: p(s) = s5 + a1s4 + a2s3 + a3s2 + a4s + a5, (B18) with a1 = H0 + H1, a2 = H0H1 + c3k2, a3 = c2k2, a4 = c1k2 + d1k4, a5 = d0k4.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability (B1) written as: p(s) = s5 + a1s4 + a2s3 + a3s2 + a4s + a5, (B18) with a1 = H0 + H1, a2 = H0H1 + c3k2, a3 = c2k2, a4 = c1k2 + d1k4, a5 = d0k4

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:15.180469Z

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Observation 8399709e-0048-4b43-b3b2-463859d87954 · outbound

This paper cites Causal Thermodynamics in Relativity.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Causal Thermodynamics in Relativity

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T22:18:14.198412Z

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Observation 0362c868-15cf-494c-9db5-3101ae42cca5 · outbound

This paper cites Brevik, O.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Brevik, O

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:15.163312Z

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Observation 55ad331e-768b-42ea-a555-b9db9dce085a · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:15.148132Z

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Observation 2ea491b4-10ab-4678-944c-9c474d534cd9 · outbound

This paper cites Chabanov, L.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Chabanov, L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:15.132650Z

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Observation 9af6896b-7b58-46d6-949e-b3835f565b8a · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:15.117209Z

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Observation e7c7d1a6-13ae-4713-8887-3817e2e92951 · outbound

This paper cites Shen and L.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Shen and L

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:15.098885Z

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Observation aa3334c9-8e68-42af-8c18-2c722d247124 · outbound

This paper cites Israel, Nonstationary irreversible thermodynamics: A causal relativistic theory, Annals of Physics 100, 310 (1976).

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Israel, Nonstationary irreversible thermodynamics: A causal relativistic theory, Annals of Physics 100, 310 (1976)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:15.082208Z

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Observation 04483ac2-a980-4016-83b5-7b77bc7f23cc · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:15.064079Z

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Observation 083d07cb-7ed2-4162-b476-d4715a2eef98 · outbound

This paper cites Geroch and L.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Geroch and L

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:15.047418Z

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Observation 019632cb-0410-442c-8158-dcc77037c02e · outbound

This paper cites Tsumura and T.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Tsumura and T

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:15.030559Z

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Observation 56c117e6-4fc7-4253-8f74-ba9e7590677a · outbound

This paper cites Peralta-Ramos and E.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Peralta-Ramos and E

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:15.013397Z

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Observation 5c1353bd-c072-42c0-92df-854b02a14924 · outbound

This paper cites V ´an and T.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability V ´an and T

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:14.994520Z

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Observation ce4434b4-d4da-4b5d-b2e0-48c6ef93e12d · outbound

This paper cites Kovtun, Lectures on hydrodynamic fluctuations in relativistic theories, Journal of Physics A: Mathematical and Theoretical 45, 473001 (2012).

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Kovtun, Lectures on hydrodynamic fluctuations in relativistic theories, Journal of Physics A: Mathematical and Theoretical 45, 473001 (2012)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:14.978819Z

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Observation 9b3c96c3-e73b-4c2e-b9e7-ceec19636a49 · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.962361Z

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Observation 23ae6cc5-45d3-41d6-a7cd-49349c7093f0 · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.946291Z

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Observation ab262ee5-6324-401a-b82a-5d1b3e7bc2e0 · outbound

This paper cites Gavassino and M.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Gavassino and M

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T22:18:14.266058Z

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Observation a0600b7a-95c2-4c79-a17e-36b21f5f8893 · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T22:18:14.270774Z

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Unavailable: canonical work link unavailable.

Observation 8fafa50c-cb89-4c72-8261-ca938e5c72fc · outbound

This paper cites Lehner, O.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Lehner, O

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:14.930916Z

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Observation 8ae543f2-b4e9-4223-a310-842a6e283b0c · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.914578Z

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Observation 735da51c-d1da-48c1-a716-dc51aeb48e2c · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.899134Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7dd77a66-8b78-4ce5-a79e-b59cc2a32ed6 · outbound

This paper cites Kovtun, First-order relativistic hydrodynamics is stable, JHEP 10, 034.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Kovtun, First-order relativistic hydrodynamics is stable, JHEP 10, 034

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:14.883441Z

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Observation 5f24e50e-fa9b-4101-a7af-c175c1d3d40f · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.866292Z

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Observation 0546b5cf-1a3b-46bf-848d-f0513fc25ded · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.850824Z

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Observation 01aaf07a-b772-4d4f-9c9d-17411f66be67 · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.835579Z

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Observation 4b9519a6-2d61-49e6-9f95-c4677054c85d · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.818725Z

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Observation 8e6bebb9-6811-4868-9911-4e3587ef5a05 · outbound

This paper cites Disconzi, Recent developments in mathematical aspects of relativistic fluids, Living Reviews in Relativity27, 6 (2024).

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Disconzi, Recent developments in mathematical aspects of relativistic fluids, Living Reviews in Relativity27, 6 (2024)

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:14.802373Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e7ce0b28-d9d8-48e1-96a4-5fc58a4d30fa · outbound

This paper cites Boillat and T.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Boillat and T

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:14.786053Z

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Observation 17f129ab-16f8-4623-828c-b43c89d7badc · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.770137Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1fc6d163-dcec-414f-8a76-064fddeae499 · outbound

This paper cites Gabarrete, A.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Gabarrete, A

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:14.753585Z

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Observation b3a43a32-32c7-46f9-8e8e-da396cfc9f3c · outbound

This paper cites Kovtun, First-order relativistic hydrodynamics is stable, Jour- nal of High Energy Physics 2019, 34 (2019).

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Kovtun, First-order relativistic hydrodynamics is stable, Jour- nal of High Energy Physics 2019, 34 (2019)

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:14.736842Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b3cfbe5f-7ad3-4169-a335-90ec5fa37523 · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.719517Z

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Observation 4fa35194-1511-4d4a-8cc2-88aa91893f1d · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.702211Z

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Observation c589059f-c9d9-4eb4-b7df-0c84ef7cabea · outbound

This paper cites Sarbach, E.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Sarbach, E

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:14.682641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 96311a58-2362-42dc-b35f-f6267144f460 · outbound

This paper cites Cercignani and G.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Cercignani and G

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T22:18:14.354310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40a6aa51-5167-4cc0-937f-4bceaa10eec7 · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.653094Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 17cf0175-eebb-4f33-85c0-acabe68128d4 · outbound

This paper cites Weinberg, Entropy Generation and the Survival of Proto- galaxies in an Expanding Universe, Astrophys.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Weinberg, Entropy Generation and the Survival of Proto- galaxies in an Expanding Universe, Astrophys

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:14.635059Z

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Observation f86f9209-9438-4159-97f6-0b13e66db300 · outbound

This paper cites de Groot, W.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability de Groot, W

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:14.617869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cfc41cab-aa2a-46c4-93b8-eaee868491b6 · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.602660Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e174da67-8a4d-483e-a701-fc5fdf1e1965 · outbound

This paper cites Meinsma, Elementary proof of the Routh-Hurwitz test, Sys- tems & Control Letters 25, 237 (1995).

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Meinsma, Elementary proof of the Routh-Hurwitz test, Sys- tems & Control Letters 25, 237 (1995)

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:14.586911Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1211d309-748a-4eab-a655-0accb5cf5480 · outbound

This paper cites Acu ˜na-C´ardenas, C.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Acu ˜na-C´ardenas, C

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:18:14.568730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5c20bb91-9387-4874-8a81-349d6c8979b8 · outbound

This paper cites an unresolved cited work.

Relativistic dissipative fluids in the trace-fixed particle frame: Hyperbolicity, causality, and stability Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:18:14.551638Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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