Paper Citation Record · LEDGER

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation

As of 13 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 3 inbound Pith citation observations for arXiv:2411.16448.

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

pith.paper-citation-record.v1
2411.16448 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:10:45.144397Z

measured 33 of 33 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T16:29:52.072770Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-22T16:31:47.224481Z

Reference resolution

30 of 30 outbound references displayed

verified exact0
verified fuzzy6
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c1cbc356-f622-480b-a8fc-81017d20c557 · outbound

This paper cites an unresolved cited work.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:10:45.754003Z

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 16b76e5c-4f38-499f-8bd6-9de3081cc7bf · outbound

This paper cites an unresolved cited work.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:10:45.737592Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a6356396-e2e2-43b0-8af6-1de468572279 · outbound

This paper cites Microscopic Models for Ultrarelativistic Heavy Ion Collisions.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Microscopic Models for Ultrarelativistic Heavy Ion Collisions

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:44.990016Z

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Observation c91f8429-6c8f-4911-8c8e-e06291404c10 · outbound

This paper cites Transport coefficients in high temperature gauge theories: (I) Leading-log results.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Transport coefficients in high temperature gauge theories: (I) Leading-log results

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:44.995599Z

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Observation 07d57cf9-862f-4006-99cb-6c86548b1d6d · outbound

This paper cites Saturation of Elliptic Flow and the Transport Opacity of the Gluon Plasma at RHIC.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Saturation of Elliptic Flow and the Transport Opacity of the Gluon Plasma at RHIC

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.002299Z

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Observation 9da53089-900a-40e9-865b-ec4120ba9bd9 · outbound

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

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Thermalization of gluons in ultrarelativistic heavy ion collisions by including three-body interactions in a parton cascade

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.009820Z

Source-reported events for the cited work

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Observation c440a85c-0e6b-423f-b0e8-e0a97e8d0da5 · outbound

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

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Derivation of transient relativistic fluid dynamics from the Boltzmann equation

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.016832Z

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Observation 8748ad9e-60b8-4403-b2ae-e7580db4cb16 · outbound

This paper cites Dodelson, Modern Cosmology.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Dodelson, Modern Cosmology

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.022316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d539079-136c-4673-858b-a56f37b0657b · outbound

This paper cites Weinberg, Cosmology.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Weinberg, Cosmology

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:10:45.710621Z

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 2ab5666e-a218-41d8-98ca-452af269f074 · outbound

This paper cites an unresolved cited work.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:10:45.692579Z

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 d6b20604-7af5-4aab-9fca-1bb10e0bf441 · outbound

This paper cites Krook and T.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Krook and T

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:10:45.675712Z

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Observation 200a410f-fea5-4a20-9029-5214c7c55ed5 · outbound

This paper cites Krook and T.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Krook and T

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:10:45.660251Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 84f4a9c9-2b23-48b7-b1e4-a24beafe0a79 · outbound

This paper cites Krupp, A Nonequilibrium Solution of the Fourier Transformed Boltzmann Equation , M.Sc.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Krupp, A Nonequilibrium Solution of the Fourier Transformed Boltzmann Equation , M.Sc

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:10:45.642449Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 194e3607-e0f5-448d-907d-147f68997efb · outbound

This paper cites an unresolved cited work.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:10:45.625078Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d87fb3c0-fb93-4743-b4f1-06d2f49af440 · outbound

This paper cites Exact results for the Boltzmann collision operator in $\lambda\phi^4$ theory.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Exact results for the Boltzmann collision operator in $\lambda\phi^4$ theory

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.061060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8b42aa1-dce3-4aec-bec9-23ccbe7ec130 · outbound

This paper cites Boer and G.E.Uhlenbeck, Studies in the Statistical Mechanics.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Boer and G.E.Uhlenbeck, Studies in the Statistical Mechanics

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:10:45.606972Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2b97604c-3ad7-4495-b3a1-e331c2c58047 · outbound

This paper cites an unresolved cited work.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:10:45.589611Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b79de77f-b549-49fe-838b-b4835c9aca0b · outbound

This paper cites an unresolved cited work.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:10:45.573433Z

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 04153f7b-708f-4cd3-bbfa-b37b7ae7341a · outbound

This paper cites Testing viscous and anisotropic hydrodynamics in an exactly solvable case.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Testing viscous and anisotropic hydrodynamics in an exactly solvable case

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.083794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c47048f3-db3b-494b-98b7-e3bb40479e8b · outbound

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

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.088800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42004292-cfc2-435e-b48c-d738310b5700 · outbound

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

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.094454Z

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Unavailable: canonical work link unavailable.

Observation 128f367e-7ead-4491-99ac-f844ee0eab07 · outbound

This paper cites Anisotropic hydrodynamics for conformal Gubser flow.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Anisotropic hydrodynamics for conformal Gubser flow

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.099341Z

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Observation 7cb0548b-8970-47dd-a855-cb547bf21e7c · outbound

This paper cites Perfect fluidity of a dissipative system: Analytical solution for the Boltzmann equation in $\mathrm{AdS}_{2}\otimes \mathrm{S}_{2}$.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Perfect fluidity of a dissipative system: Analytical solution for the Boltzmann equation in $\mathrm{AdS}_{2}\otimes \mathrm{S}_{2}$

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.104163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92377ad3-2387-4773-8311-465dc1a5da7e · outbound

This paper cites Analytic solutions of the relativistic Boltzmann equation.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Analytic solutions of the relativistic Boltzmann equation

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.109682Z

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Unavailable: canonical work link unavailable.

Observation da14b9c8-58da-407b-a07b-6a65887733cf · outbound

This paper cites Hu, Relaxation time approximation revisited and pole/cut structure in retarded correlators , 2409.05131.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Hu, Relaxation time approximation revisited and pole/cut structure in retarded correlators , 2409.05131

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.115881Z

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Unavailable: canonical work link unavailable.

Observation 7c3fcff4-55a2-4718-8603-45fbc71a7d57 · outbound

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

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Analytic solution of the Boltzmann equation in an expanding system

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.120879Z

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Unavailable: canonical work link unavailable.

Observation df7f41ee-7eb2-44a3-8338-35cae067e2a6 · outbound

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

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lema\^itre-Robertson-Walker spacetime

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.127215Z

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Unavailable: canonical work link unavailable.

Observation cc561057-3380-4c1a-9347-57aa97c2b47a · outbound

This paper cites an unresolved cited work.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:10:45.557111Z

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 2ad1d56b-5a5a-4d1e-aab5-e7bd0df1defd · outbound

This paper cites Multicomponent second-order dissipative relativistic hydrodynamics with binary reactive collisions.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Multicomponent second-order dissipative relativistic hydrodynamics with binary reactive collisions

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-12T13:10:45.139468Z

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Unavailable: canonical work link unavailable.

Observation 99b0cf84-09e3-4799-8589-b96a350d2f8e · outbound

This paper cites Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity.

Analytical Solution of the Nonlinear Relativistic Boltzmann Equation Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:10:45.540693Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation 808cdaf3-28d6-44ad-bd73-8cf60f5ad5ce · inbound

Normal mode analysis within relativistic massive transport cites this paper.

Normal mode analysis within relativistic massive transport Analytical Solution of the Nonlinear Relativistic Boltzmann Equation

Reference 48

Resolution: verified exact; arxiv_id, observed 2026-05-22T16:31:47.227370Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 47d0639b-f99d-4a52-90d1-15017e5af52a · inbound

Maximally Symmetric Boost-Invariant Solutions of the Boltzmann Equation in Foliated Geometries cites this paper.

Maximally Symmetric Boost-Invariant Solutions of the Boltzmann Equation in Foliated Geometries Analytical Solution of the Nonlinear Relativistic Boltzmann Equation

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-17T01:51:25.652166Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 05bc78b8-c439-4ad9-9de7-1f87e86386f8 · inbound

Thermal Spectra Without Detailed Balance cites this paper.

Thermal Spectra Without Detailed Balance Analytical Solution of the Nonlinear Relativistic Boltzmann Equation

Reference 26

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T10:11:27.475950Z

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.