Paper Citation Record · LEDGER

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres

As of 15 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 4 inbound Pith citation observations for arXiv:1908.09957.

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pith.paper-citation-record.v1
1908.09957 v2

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Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:06:52.522596Z

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Source: arxiv_reference, observed 2026-06-29T17:23:44.802896Z

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Outbound references

Observation 672337d1-55f4-457c-b45b-65feaf7ecd90 · outbound

This paper cites Hydrodynamics is an eﬀective theory describing the dynamics of a many-body system at times and distances that are considerably larger than any microscopic scale.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Hydrodynamics is an eﬀective theory describing the dynamics of a many-body system at times and distances that are considerably larger than any microscopic scale

Reference 1

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Observation 8610b77a-b82e-4e90-a97c-e0d3db5a0508 · outbound

This paper cites Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres

Reference 2

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This paper cites We start our analysis by investigating the hydrodynamic regime of Israel-Stewart-like theories [40–42] derived from the Boltzmann equation.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres We start our analysis by investigating the hydrodynamic regime of Israel-Stewart-like theories [40–42] derived from the Boltzmann equation

Reference 3

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This paper cites In this section we obtain the attractor of an ultrarelativistic gas of hard spheres now from a microscopic perspective using the Boltzmann equation [50].

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres In this section we obtain the attractor of an ultrarelativistic gas of hard spheres now from a microscopic perspective using the Boltzmann equation [50]

Reference 4

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Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Unresolved cited work

Reference 5

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Observation f16977ab-4577-485e-94c2-d99a44ff9aac · outbound

This paper cites Chapman and T.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Chapman and T

Reference 6

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Observation 845f128c-5679-4a1d-a839-cdc59bb97ad3 · outbound

This paper cites Cercignani, Mathematical Methods in Kinetic Theory (Springer, US, 1990).

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Cercignani, Mathematical Methods in Kinetic Theory (Springer, US, 1990)

Reference 7

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Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Unresolved cited work

Reference 8

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Observation a8360920-af55-459f-9095-2dbd58f75e59 · outbound

This paper cites Hydrodynamic gradient expansion in gauge theory plasmas.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Hydrodynamic gradient expansion in gauge theory plasmas

Reference 9

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Observation adc43197-f88f-44f6-b0ea-c456951d52e5 · outbound

This paper cites Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation

Reference 10

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Observation fc265bd4-ece1-452e-a7ac-d28724a807c3 · outbound

This paper cites Entropy Production, Hydrodynamics, and Resurgence in the Primordial Quark-Gluon Plasma from Holography.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Entropy Production, Hydrodynamics, and Resurgence in the Primordial Quark-Gluon Plasma from Holography

Reference 11

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Observation 43f51db1-718a-4287-86e9-7b4f8f4c62ab · outbound

This paper cites Divergence of the Chapman-Enskog expansion in relativistic kinetic theory.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Divergence of the Chapman-Enskog expansion in relativistic kinetic theory

Reference 12

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Observation 9e61b44a-b2b5-461f-8600-99d84e0d9e58 · outbound

This paper cites Hydrodynamization in kinetic theory: Transient modes and the gradient expansion.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Hydrodynamization in kinetic theory: Transient modes and the gradient expansion

Reference 13

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Observation 277a8a22-5ae3-4e09-862d-e88425c015a1 · outbound

This paper cites Fluid Dynamics far from Local Equilibrium.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Fluid Dynamics far from Local Equilibrium

Reference 14

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Observation 246cfeb7-5850-4425-964f-fe6f6e5dcecf · outbound

This paper cites On the hydrodynamic attractor of Yang-Mills plasma.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres On the hydrodynamic attractor of Yang-Mills plasma

Reference 15

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Observation 23373b88-3d8c-4c39-905c-573dacbd4def · outbound

This paper cites The anisotropic non-equilibrium hydrodynamic attractor.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres The anisotropic non-equilibrium hydrodynamic attractor

Reference 16

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Observation 66d483ca-c156-4d46-ba2e-487990b82e6f · outbound

This paper cites Relativistic Hydrodynamic Attractors with Broken Symmetries: Non-Conformal and Non-Homogeneous.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Relativistic Hydrodynamic Attractors with Broken Symmetries: Non-Conformal and Non-Homogeneous

Reference 17

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This paper cites New theories of relativistic hydrodynamics in the LHC era.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres New theories of relativistic hydrodynamics in the LHC era

Reference 18

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Observation 13be43a3-996b-4a10-8b07-66c09ac6a9a3 · outbound

This paper cites Causality and existence of solutions of relativistic viscous fluid dynamics with gravity.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Causality and existence of solutions of relativistic viscous fluid dynamics with gravity

Reference 19

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Observation 4127b7d1-96e4-4fb4-8cf6-799934d25da3 · outbound

This paper cites Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics

Reference 20

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Observation ebbc50d4-9faf-42f4-8437-95fe1586d055 · outbound

This paper cites Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow

Reference 21

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Observation 10d8b896-31e3-4e07-b50e-19bb66eeae0e · outbound

This paper cites Fluid dynamics of out of equilibrium boost invariant plasmas.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Fluid dynamics of out of equilibrium boost invariant plasmas

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T11:06:52.607526Z

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Observation 7692b8e7-a6d2-4485-9cc2-a9863b467ebc · outbound

This paper cites Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography

Reference 23

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Observation df653f5f-723f-4118-91dd-e637d2614f9c · outbound

This paper cites How does relativistic kinetic theory remember about initial conditions?.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres How does relativistic kinetic theory remember about initial conditions?

Reference 24

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Observation ed02460c-e86b-4b50-bfcb-9cebdc1dde83 · outbound

This paper cites Anisotropic hydrodynamics with a scalar collisional kernel.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Anisotropic hydrodynamics with a scalar collisional kernel

Reference 25

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Observation b5ab9e02-806e-4f88-910a-12b13f149747 · outbound

This paper cites Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow

Reference 26

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Observation a1f1b462-4086-4a3c-9569-bce9f489bcbc · outbound

This paper cites Holographic Bjorken Flow at Large-D.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Holographic Bjorken Flow at Large-D

Reference 27

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Observation 7a7ca25c-46c5-45ef-ad19-d9cf3c788a09 · outbound

This paper cites Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma

Reference 28

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This paper cites Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow

Reference 29

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This paper cites The non-equilibrium attractor for kinetic theory in relaxation time approximation.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres The non-equilibrium attractor for kinetic theory in relaxation time approximation

Reference 30

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This paper cites Exact solution for the non-equilibrium attractor in number-conserving relaxation time approximation.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Exact solution for the non-equilibrium attractor in number-conserving relaxation time approximation

Reference 31

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This paper cites Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow

Reference 32

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Observation 214ea5ec-05a7-4563-803a-8e7e1a538435 · outbound

This paper cites What attracts to attractors?.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres What attracts to attractors?

Reference 33

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Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Unresolved cited work

Reference 34

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This paper cites Symmetry constraints on generalizations of Bjorken flow.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Symmetry constraints on generalizations of Bjorken flow

Reference 35

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This paper cites How large is the Knudsen number reached in fluid dynamical simulations of ultrarelativistic heavy ion collisions?.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres How large is the Knudsen number reached in fluid dynamical simulations of ultrarelativistic heavy ion collisions?

Reference 36

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This paper cites Sensitivity of flow harmonics to sub-nucleon scale fluctuations in heavy ion collisions.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Sensitivity of flow harmonics to sub-nucleon scale fluctuations in heavy ion collisions

Reference 37

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This paper cites Collective flow in p-Pb and d-Pb collisions at TeV energies.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Collective flow in p-Pb and d-Pb collisions at TeV energies

Reference 38

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This paper cites One fluid to rule them all: viscous hydrodynamic description of event-by-event central p+p, p+Pb and Pb+Pb collisions at $\sqrt{s}=5.02$ TeV.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres One fluid to rule them all: viscous hydrodynamic description of event-by-event central p+p, p+Pb and Pb+Pb collisions at $\sqrt{s}=5.02$ TeV

Reference 39

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Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Aidala et al

Reference 40

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

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Relativistic viscous hydrodynamics, conformal invariance, and holography

Reference 41

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This paper cites Solutions of Conformal Israel-Stewart Relativistic Viscous Fluid Dynamics.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Solutions of Conformal Israel-Stewart Relativistic Viscous Fluid Dynamics

Reference 42

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This paper cites A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit

Reference 43

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This paper cites Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation

Reference 44

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This paper cites Israel and J.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Israel and J

Reference 45

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This paper cites Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions

Reference 46

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This paper cites Derivation of transient relativistic fluid dynamics from the Boltzmann equation.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Derivation of transient relativistic fluid dynamics from the Boltzmann equation

Reference 47

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This paper cites Derivation of fluid dynamics from kinetic theory with the 14--moment approximation.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Derivation of fluid dynamics from kinetic theory with the 14--moment approximation

Reference 48

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This paper cites Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation

Reference 49

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This paper cites Short-lived modes from hydrodynamic dispersion relations.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Short-lived modes from hydrodynamic dispersion relations

Reference 50

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This paper cites On the convergence of the gradient expansion in hydrodynamics.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres On the convergence of the gradient expansion in hydrodynamics

Reference 51

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This paper cites The complex life of hydrodynamic modes.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres The complex life of hydrodynamic modes

Reference 52

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Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Unresolved cited work

Reference 53

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Observation 67eec4a4-94e9-4c60-a8d0-885b71abd936 · outbound

This paper cites Santos, J.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Santos, J

Reference 54

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Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Unresolved cited work

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Observation 75afb395-2ff7-472c-89e9-50ccddb097f5 · outbound

This paper cites Analytic solution of the Boltzmann equation in an expanding system.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Analytic solution of the Boltzmann equation in an expanding system

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-14T11:06:52.743031Z

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Observation 9c60aed0-dea0-4543-9953-54e455a4af2a · outbound

This paper cites Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lema\^itre-Robertson-Walker spacetime.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lema\^itre-Robertson-Walker spacetime

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-14T11:06:52.747438Z

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Observation a9ab236d-1fc0-4ec9-b601-9a56bf8c7954 · outbound

This paper cites Thermalization of gluons in ultrarelativistic heavy ion collisions by including three-body interactions in a parton cascade.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Thermalization of gluons in ultrarelativistic heavy ion collisions by including three-body interactions in a parton cascade

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-14T11:06:52.751897Z

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Observation 998d7d6c-ddf1-4395-8f11-0aff4bafd8c9 · outbound

This paper cites Third-order relativistic dissipative hydrodynamics.

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Third-order relativistic dissipative hydrodynamics

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-14T11:06:52.756428Z

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Observation 00b94862-e88d-4d2d-9055-cd4bf7eee8c5 · outbound

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

Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-14T11:06:52.760571Z

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Observation 8610b77a-b82e-4e90-a97c-e0d3db5a0508 · inbound