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Paper Citation Record · LEDGER

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

As of 14 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

Typed states for the displayed outbound observations.

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

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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

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

Reference 19

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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

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

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

Reference 21

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T22:18:14.345234Z digest=sha256:7cd023b6e0ccafd6f9949aa20796744ccf3a552a83b1e5d6d30016301c007e0d

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:18:14.349848Z digest=sha256:281a33bff92f0d88333eca5d0f024835a8773df0062e8176811af41751c1b205

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.

source=pdf_text observed=2026-08-11T22:18:14.354310Z digest=sha256:f6201a86d502a9f4dd8b078461acf14b59403d6e4a03fc5cc36ef49b92356fcc

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

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T22:18:14.358722Z digest=sha256:fb2e66e2293d3fb3c8cc60a3b91f2c8e8777ad1104fd0543ad7bbaadc455a1e7

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

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T22:18:14.363061Z digest=sha256:39d0b11d9b082a32de8c5e78588db94b01d151bf368298f9642e2190d10af599

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:18:14.367288Z digest=sha256:f24daace5ba9d59402d201f998e61342ee7aeca66304713aa09bcdd22ebc30ae

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

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T22:18:14.371776Z digest=sha256:04023da02bdc541d174090aaec1bc2454508665e3734b36d5a8e1f8fc753ea8d

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

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T22:18:14.375890Z digest=sha256:1ac682ab5118b76ab68a68f0c53c496b869435e2712540ef169478df651d9048

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:18:14.380165Z digest=sha256:427a2be76fe51cb5432edf3170b2941f8c94124fac75953da2d1280adfcad97d

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

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T22:18:14.384211Z digest=sha256:29a9a4704582266ecf72def519304fc30a2148dd39c668f85b96bde72ef87d69

Pith citing papers

No inbound Pith citation observations are available.