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Paper Citation Record · LEDGER

The diffusion equation is compatible with special relativity

As of 19 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 5 inbound Pith citation observations for arXiv:2601.19464.

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

pith.paper-citation-record.v1
2601.19464 v2

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measured 57 of 57 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T07:46:32.013556Z

measured 62 of 62 standing notices

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measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T21:45:00.564173Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-05-21T03:23:55.870108Z

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57 of 57 outbound references displayed

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Outbound references

Observation 5de45ade-a65e-42e3-afdc-126983c54a4a · outbound

This paper cites Fick, Annalen der Physik und Chemie94, 59 (1855).

The diffusion equation is compatible with special relativity Fick, Annalen der Physik und Chemie94, 59 (1855)

Reference 1

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Observation 3c6dada2-ef68-4083-bb66-bb68763e33e7 · outbound

This paper cites an unresolved cited work.

The diffusion equation is compatible with special relativity Unresolved cited work

Reference 2

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Observation 3345199a-2798-47a3-923b-1847f0bb86e8 · outbound

This paper cites Peliti,Statistical Mechanics in a Nutshell, In a nutshell (Princeton University Press, 2011).

The diffusion equation is compatible with special relativity Peliti,Statistical Mechanics in a Nutshell, In a nutshell (Princeton University Press, 2011)

Reference 3

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Observation 583a1f97-2a30-4580-93ee-afda099250b5 · outbound

This paper cites Landau and E.

The diffusion equation is compatible with special relativity Landau and E

Reference 4

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Observation ccb730b3-cd54-441b-b4fa-8eeb28d7ae02 · outbound

This paper cites Landau and E.

The diffusion equation is compatible with special relativity Landau and E

Reference 5

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Observation 8c16ecd2-2bac-4c26-953e-aec6a5c8102b · outbound

This paper cites Einstein, Annalen der Physik322, 549 (1905).

The diffusion equation is compatible with special relativity Einstein, Annalen der Physik322, 549 (1905)

Reference 6

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Observation a0026f70-1b6e-4a37-a7ab-337cf6e4ed0d · outbound

This paper cites an unresolved cited work.

The diffusion equation is compatible with special relativity Unresolved cited work

Reference 7

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Observation a7331094-166b-4bab-8455-eabfa2deb68e · outbound

This paper cites an unresolved cited work.

The diffusion equation is compatible with special relativity Unresolved cited work

Reference 8

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Observation a3abede1-ddda-4503-b8db-5efeaf70bcb1 · outbound

This paper cites Israel and J.

The diffusion equation is compatible with special relativity Israel and J

Reference 9

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Observation 3e0789a8-cf22-4859-b122-395be6e79bd8 · outbound

This paper cites Hiscock and L.

The diffusion equation is compatible with special relativity Hiscock and L

Reference 10

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Observation 72cd22b5-0579-4459-a2c8-df20410614c6 · outbound

This paper cites Relativistic viscous hydrodynamics, conformal invariance, and holography.

The diffusion equation is compatible with special relativity Relativistic viscous hydrodynamics, conformal invariance, and holography

Reference 11

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Observation cfcb4dcc-ddb1-463e-8307-051c33ce09d8 · outbound

This paper cites Muller and T.

The diffusion equation is compatible with special relativity Muller and T

Reference 12

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Observation cf16034d-4772-4735-b074-4265343c6737 · outbound

This paper cites an unresolved cited work.

The diffusion equation is compatible with special relativity Unresolved cited work

Reference 13

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Observation 54b11c14-1138-473a-b242-218b2e32e1b6 · outbound

This paper cites Rezzolla and O.

The diffusion equation is compatible with special relativity Rezzolla and O

Reference 14

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Observation d6a185b2-6f95-4906-8b49-1339447bd1da · outbound

This paper cites Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions.

The diffusion equation is compatible with special relativity Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions

Reference 15

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Observation 817d77a4-24ff-4c5e-969d-b7d937f27028 · outbound

This paper cites Unified Extended Irreversible Thermodynamics and the stability of relativistic theories for dissipation.

The diffusion equation is compatible with special relativity Unified Extended Irreversible Thermodynamics and the stability of relativistic theories for dissipation

Reference 16

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Observation b5a3bb11-aa15-4d03-80bf-2388a29bed5c · outbound

This paper cites Can we make sense of dissipation without causality?.

The diffusion equation is compatible with special relativity Can we make sense of dissipation without causality?

Reference 17

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Observation 5c15f3b2-bb88-480e-bad0-c7f0e8a929be · outbound

This paper cites Theories of Relativistic Dissipative Fluid Dynamics.

The diffusion equation is compatible with special relativity Theories of Relativistic Dissipative Fluid Dynamics

Reference 18

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Observation 23d46d3a-bd0c-4450-bcd7-f3979776fa5c · outbound

This paper cites On the Causality and Stability of the Relativistic Diffusion Equation.

The diffusion equation is compatible with special relativity On the Causality and Stability of the Relativistic Diffusion Equation

Reference 19

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Observation bdb5fc60-71ec-4524-9bc7-7e8de1bb3640 · outbound

This paper cites Geroch and L.

The diffusion equation is compatible with special relativity Geroch and L

Reference 20

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Observation 1dcc6d53-20b1-4cb2-a7d9-74920a53de1f · outbound

This paper cites Universality Classes of Relativistic Fluid Dynamics: Foundations.

The diffusion equation is compatible with special relativity Universality Classes of Relativistic Fluid Dynamics: Foundations

Reference 21

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Observation a79d1781-243f-4ea6-bb89-f5d179318b9b · outbound

This paper cites an unresolved cited work.

The diffusion equation is compatible with special relativity Unresolved cited work

Reference 22

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Observation 66b7b7f9-034d-4c78-9f60-2a8e14b35339 · outbound

This paper cites an unresolved cited work.

The diffusion equation is compatible with special relativity Unresolved cited work

Reference 23

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Observation b82e5330-6bab-42ff-993a-eea76d084aab · outbound

This paper cites an unresolved cited work.

The diffusion equation is compatible with special relativity Unresolved cited work

Reference 24

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Observation 058642f1-85b2-4dec-8d25-f34ac25683eb · outbound

This paper cites Geroch and L.

The diffusion equation is compatible with special relativity Geroch and L

Reference 25

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Observation 072d59f8-ce2e-475d-8c46-1f316a7b9fe9 · outbound

This paper cites an unresolved cited work.

The diffusion equation is compatible with special relativity Unresolved cited work

Reference 26

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Observation 56dc86e0-17d1-4e59-ad9e-c9246976161f · outbound

This paper cites First-order relativistic hydrodynamics is stable.

The diffusion equation is compatible with special relativity First-order relativistic hydrodynamics is stable

Reference 27

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Observation 39d11c5a-e5bf-4dfd-98c1-46ff7253c246 · outbound

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The diffusion equation is compatible with special relativity Unresolved cited work

Reference 28

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Observation 17d5b80f-b5e0-47de-9031-07ceda5bde7d · outbound

This paper cites Gavassino and M.

The diffusion equation is compatible with special relativity Gavassino and M

Reference 29

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Observation 496de122-f39f-45a4-853e-44223481a172 · outbound

This paper cites Geroch, Journal of Mathematical Physics36, 4226 (1995).

The diffusion equation is compatible with special relativity Geroch, Journal of Mathematical Physics36, 4226 (1995)

Reference 30

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Observation 02fe7a21-f2ed-49e9-af71-b9f0a1da10c4 · outbound

This paper cites The Relaxation Effect in Dissipative Relativistic Fluid Theories.

The diffusion equation is compatible with special relativity The Relaxation Effect in Dissipative Relativistic Fluid Theories

Reference 31

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Observation 9ac6f2e9-29ee-4066-887c-f808eea0731d · outbound

This paper cites On Hyperbolic "Theories" of Relativistic Dissipative Fluids.

The diffusion equation is compatible with special relativity On Hyperbolic "Theories" of Relativistic Dissipative Fluids

Reference 32

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Observation c742f7c9-152d-49d2-b14e-b5cfc3ddf894 · outbound

This paper cites Effective field theory for hydrodynamics without boosts.

The diffusion equation is compatible with special relativity Effective field theory for hydrodynamics without boosts

Reference 33

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Observation a0ee8c96-c313-4b17-8d16-471c24b12f11 · outbound

This paper cites The stochastic relativistic advection diffusion equation from the Metropolis algorithm.

The diffusion equation is compatible with special relativity The stochastic relativistic advection diffusion equation from the Metropolis algorithm

Reference 34

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Observation 25f90bdc-00de-4370-80af-0fe397720b3b · outbound

This paper cites Noncovariant parabolic theories of relativistic diffusion.

The diffusion equation is compatible with special relativity Noncovariant parabolic theories of relativistic diffusion

Reference 35

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Observation 5f172747-19dd-46ae-8199-524c9ecbfbe8 · outbound

This paper cites Debbasch, K.

The diffusion equation is compatible with special relativity Debbasch, K

Reference 36

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Observation 42e6e054-e0e5-4942-9deb-02f56755a20b · outbound

This paper cites Relativistic Brownian Motion.

The diffusion equation is compatible with special relativity Relativistic Brownian Motion

Reference 37

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Observation a827b755-138e-406d-a7bf-1cb9a28ff677 · outbound

This paper cites How Lorentz boosts reshape relaxation spectra.

The diffusion equation is compatible with special relativity How Lorentz boosts reshape relaxation spectra

Reference 38

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Observation 026eaf2d-92a9-4657-8718-56890d1d993d · outbound

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The diffusion equation is compatible with special relativity Unresolved cited work

Reference 39

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Observation e7c9c218-7883-45a0-93a9-82a9f1cab167 · outbound

This paper cites Huang,Statistical Mechanics, 2nd ed.

The diffusion equation is compatible with special relativity Huang,Statistical Mechanics, 2nd ed

Reference 40

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Observation 30981e27-f4eb-4a89-9520-435c82e95737 · outbound

This paper cites Cercignani and G.

The diffusion equation is compatible with special relativity Cercignani and G

Reference 41

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Observation dc52a801-1326-4ae4-a70c-97d52275cfd4 · outbound

This paper cites Applying the Gibbs stability criterion to relativistic hydrodynamics.

The diffusion equation is compatible with special relativity Applying the Gibbs stability criterion to relativistic hydrodynamics

Reference 42

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Observation a0709696-c032-465e-8182-a3c705d73174 · outbound

This paper cites Thermodynamic stability implies causality.

The diffusion equation is compatible with special relativity Thermodynamic stability implies causality

Reference 43

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Observation d0e72d06-7630-48fc-b2c9-1c285e858673 · outbound

This paper cites Gavassino, M.

The diffusion equation is compatible with special relativity Gavassino, M

Reference 44

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source=pdf_text observed=2026-08-03T07:46:31.485138Z digest=sha256:e5a37c987aa903c4f74beacfe85facf8ccbf9c14dc72b3c3fc3f608e18a0287f

Observation 7937a453-d188-474f-b3f6-596493b7dcdf · outbound

This paper cites Rigorous bounds on transport from causality.

The diffusion equation is compatible with special relativity Rigorous bounds on transport from causality

Reference 45

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source=pdf_text observed=2026-08-03T07:46:31.502558Z digest=sha256:c59193a96042a5872c39aeace923653d6c91dc3988ac294be16f118e1d1abeac

Observation 6f54f176-7805-4091-9096-b564abaadbf9 · outbound

This paper cites Bounds on transport from hydrodynamic stability.

The diffusion equation is compatible with special relativity Bounds on transport from hydrodynamic stability

Reference 46

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source=pdf_text observed=2026-08-03T07:46:31.516737Z digest=sha256:ca71c26ab6f2f488720b233749ec18a5326800188719d21d7908ec4f6ae16c98

Observation 9f17345c-924c-4e53-8b2b-ee8be8231e46 · outbound

This paper cites Rauch,Partial Differential Equations, Graduate Texts in Mathematics (Springer New York, 2012).

The diffusion equation is compatible with special relativity Rauch,Partial Differential Equations, Graduate Texts in Mathematics (Springer New York, 2012)

Reference 47

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source=pdf_text observed=2026-08-03T07:46:31.537800Z digest=sha256:25619ad1a54f88a6b805f30a63f8703a499f4d9b3156025be13c8003da8acf7d

Observation d26dc73a-8dd8-41fe-b1e8-c55e0b981227 · outbound

This paper cites Dispersion relations alone cannot guarantee causality.

The diffusion equation is compatible with special relativity Dispersion relations alone cannot guarantee causality

Reference 48

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Observation 86213c82-ad6a-48d0-9a3e-27e95301fcba · outbound

This paper cites an unresolved cited work.

The diffusion equation is compatible with special relativity Unresolved cited work

Reference 49

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Observation b0d50755-8342-4b05-8a1a-907f9d229e3e · outbound

This paper cites an unresolved cited work.

The diffusion equation is compatible with special relativity Unresolved cited work

Reference 50

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source=pdf_text observed=2026-08-03T07:46:31.599168Z digest=sha256:a166f6e3b5473ec36ebfbee66820b49e1a4dcd5ba65b7b2e6756c2b2259f62fc

Observation b7fb4e96-b8a2-4f5c-bcdc-62a9b5a8d3ae · outbound

This paper cites Holography and hydrodynamics with weakly broken symmetries.

The diffusion equation is compatible with special relativity Holography and hydrodynamics with weakly broken symmetries

Reference 51

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Observation c5330b1d-2079-43e9-a73d-d594c47bb819 · outbound

This paper cites Baggioli, M.

The diffusion equation is compatible with special relativity Baggioli, M

Reference 52

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source=pdf_text observed=2026-08-03T07:46:31.727468Z digest=sha256:8ea06b80a8d82301f6b8701fbe0d1b406af142ee548c7d7ea7ebca9afd348aa6

Observation b3ad9cd2-4d0b-423e-8e6b-2c2877804476 · outbound

This paper cites Gavassino, M.

The diffusion equation is compatible with special relativity Gavassino, M

Reference 53

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Observation 5059d40f-b003-48c5-84a5-e539bb7de661 · outbound

This paper cites Relativistic Bulk Rheology: From Neutron Star Mergers to Viscous Cosmology.

The diffusion equation is compatible with special relativity Relativistic Bulk Rheology: From Neutron Star Mergers to Viscous Cosmology

Reference 54

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Observation 11aef906-1e55-405d-be55-adfd1c0dbe2c · outbound

This paper cites an unresolved cited work.

The diffusion equation is compatible with special relativity Unresolved cited work

Reference 55

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source=pdf_text observed=2026-08-03T07:46:31.969975Z digest=sha256:8b21eba761fcb06664db31795d38108bf0beb05900d948d127928b68cd27d96a

Observation 3f5d6532-1e3b-4503-9b57-1212428ea955 · outbound

This paper cites Gavassino, (2025), arXiv:2511.14344 [physics.plasm-ph].

The diffusion equation is compatible with special relativity Gavassino, (2025), arXiv:2511.14344 [physics.plasm-ph]

Reference 56

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Observation d50141b4-f042-4df7-82bd-6ed44c7dd0fc · outbound

This paper cites an unresolved cited work.

The diffusion equation is compatible with special relativity Unresolved cited work

Reference 2013

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Pith citing papers

Observation 27aa52b5-1063-445f-8414-c149e1256a6a · inbound

Lorentz-boosted diffusion: initial value formulation and exact solutions cites this paper.

Lorentz-boosted diffusion: initial value formulation and exact solutions The diffusion equation is compatible with special relativity

Reference 16

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Observation 09a47f4b-bb33-4b24-966d-203dae201e99 · inbound

How acausal equations emerge from causal dynamics cites this paper.

How acausal equations emerge from causal dynamics The diffusion equation is compatible with special relativity

Reference 15

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arxiv_id, observed 2026-07-09T02:19:50.538221Z

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Observation 8fa8ff4a-6827-431c-b913-8d89d44d1ef5 · inbound

Causal UV completions of relativistic hydrodynamics cites this paper.

Causal UV completions of relativistic hydrodynamics The diffusion equation is compatible with special relativity

Reference 26

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Observation c611e110-0ef6-4764-aef8-41d7748cff67 · inbound

Causal UV completions of relativistic hydrodynamics cites this paper.

Causal UV completions of relativistic hydrodynamics The diffusion equation is compatible with special relativity

Reference 26

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Observation 17adbf69-3d60-422f-a024-be54762213e5 · inbound

The Lorentzian geometry of relaxation cites this paper.

The Lorentzian geometry of relaxation The diffusion equation is compatible with special relativity

Reference 35

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