Paper Citation Record · LEDGER

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure

As of 7 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2608.01580.

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

pith.paper-citation-record.v1
2608.01580 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T00:52:24.778142Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

verified exact15
verified fuzzy6
unresolved4
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malformed identifier7
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 704e1749-4bc1-477e-b442-daa1edf4e12f · outbound

This paper cites Generalized Chaplygin Gas, Accelerated Expansion and Dark-Energy-Matter Unification.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Generalized Chaplygin Gas, Accelerated Expansion and Dark-Energy-Matter Unification

Reference 1

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T00:52:28.553243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4f3ea9d3-b76e-46ad-89bb-5ed7a11cabc6 · outbound

This paper cites Formation of Delta-Shocks and Vacuum States in the Vanish- ing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Formation of Delta-Shocks and Vacuum States in the Vanish- ing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids

Reference 2

Resolution: verified exact; doi, observed 2026-08-05T00:52:26.519841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 27cd0487-1ea5-42d7-b0b4-be863ff9e416 · outbound

This paper cites Existence and Uniqueness of the Global L1 Solution of the Euler Equations for Chaplygin Gas.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Existence and Uniqueness of the Global L1 Solution of the Euler Equations for Chaplygin Gas

Reference 3

Resolution: verified exact; doi, observed 2026-08-05T00:52:26.395867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 233c3eda-82dc-4d43-9fa7-994ca9fb380e · outbound

This paper cites Riemann Problem for the Isentropic Chaplygin Gas Cargo–LeRoux Model.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Riemann Problem for the Isentropic Chaplygin Gas Cargo–LeRoux Model

Reference 4

Resolution: verified exact; doi, observed 2026-08-05T00:52:26.275136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dc423f53-ed7e-4d2e-ac64-053a68d46b68 · outbound

This paper cites An Analysis of the Riemann Problem for a 2×2 System of Keyfitz–Kranzer Type Conservation Laws Using Shadow Waves and Dafermos Regularization.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure An Analysis of the Riemann Problem for a 2×2 System of Keyfitz–Kranzer Type Conservation Laws Using Shadow Waves and Dafermos Regularization

Reference 5

Resolution: metadata mismatch; raw_fallback, observed 2026-08-05T00:52:27.195307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 99f6cbcb-f8b2-4f78-b831-5dce4e84beaf · outbound

This paper cites Dafermos.Hyperbolic Conservation Laws in Continuum Physics.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Dafermos.Hyperbolic Conservation Laws in Continuum Physics

Reference 6

Resolution: malformed identifier; no resolver link, observed 2026-08-05T00:52:23.376745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0aae99a5-9b39-4c90-9913-fd36f0dd2d54 · outbound

This paper cites The Entropy Rate Admissibility Criterion for Solutions of Hyperbolic Conservation Laws.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure The Entropy Rate Admissibility Criterion for Solutions of Hyperbolic Conservation Laws

Reference 7

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T00:52:28.466036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4bc45275-a694-48ef-acad-d307f0601124 · outbound

This paper cites Dynamics of propagation and interaction ofδ-shock waves in conservation law systems.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Dynamics of propagation and interaction ofδ-shock waves in conservation law systems

Reference 8

Resolution: verified exact; doi, observed 2026-08-05T00:52:26.138804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b9557851-feda-4573-bb5a-0e4e92afe889 · outbound

This paper cites Shadow waves for pressureless gas balance laws.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Shadow waves for pressureless gas balance laws

Reference 9

Resolution: verified exact; doi, observed 2026-08-05T00:52:26.050145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0f1d54b9-86f3-4655-ba67-2499be9985ad · outbound

This paper cites An analysis of a 2×2 Keyfitz–Kranzer type balance system with varying generalized Chaplygin gas.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure An analysis of a 2×2 Keyfitz–Kranzer type balance system with varying generalized Chaplygin gas

Reference 10

Resolution: verified exact; doi, observed 2026-08-05T00:52:25.883129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bb412885-3e5d-445a-9a60-7a155dabea74 · outbound

This paper cites Solutions in the Large for Nonlinear Hyperbolic Systems of Equations.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Solutions in the Large for Nonlinear Hyperbolic Systems of Equations

Reference 11

Resolution: verified exact; doi, observed 2026-08-05T00:52:25.778291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 65148cf3-378b-4864-b989-f30d534ffe85 · outbound

This paper cites The Chaplygin gas as a model for dark energy.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure The Chaplygin gas as a model for dark energy

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-05T00:52:23.725721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef8fd910-9a63-4bfc-9154-8803bd9314c0 · outbound

This paper cites The entropy rate admissibility criterion in gas dynamics.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure The entropy rate admissibility criterion in gas dynamics

Reference 13

Resolution: verified exact; doi, observed 2026-08-05T00:52:25.610360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d0253379-cab5-4226-bf77-e42ad253c27b · outbound

This paper cites Viscous singular shock profiles for a system of conservation laws modeling two-phase flow.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Viscous singular shock profiles for a system of conservation laws modeling two-phase flow

Reference 14

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T00:52:28.370496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9bfb4f74-9a84-4bcb-b824-96765e7883d5 · outbound

This paper cites Nonlinear Hyperbolic Problems.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Nonlinear Hyperbolic Problems

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:52:28.266635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cd116584-60a4-4fd8-bebb-cb61610b4cf0 · outbound

This paper cites Spaces of Weighted Measures for Conservation Laws with Singular Shock Solutions.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Spaces of Weighted Measures for Conservation Laws with Singular Shock Solutions

Reference 16

Resolution: verified exact; raw_fallback, observed 2026-08-05T00:52:26.931081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 880f9215-7396-4bf2-b51e-c476c5f7843a · outbound

This paper cites Conserving the Wrong Variables in Gas Dynamics: A Riemann Solution with Singular Shocks.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Conserving the Wrong Variables in Gas Dynamics: A Riemann Solution with Singular Shocks

Reference 17

Resolution: verified exact; doi, observed 2026-08-05T00:52:25.517156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4ea700de-2045-4e9e-940b-a545e1c4bcff · outbound

This paper cites Solution of a Riemann Problem for a 2×2 System of Conservation Laws Possessing No Classical Weak Solution.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Solution of a Riemann Problem for a 2×2 System of Conservation Laws Possessing No Classical Weak Solution

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:52:28.146786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 23a05aec-86b3-4c05-805d-cd1752d40628 · outbound

This paper cites Nonlinear Evolution Equations that Change Type.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Nonlinear Evolution Equations that Change Type

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:52:28.036348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9e69f304-cdee-4b17-9b52-d6f2cb0c9f11 · outbound

This paper cites The Riemann Problem for the Generalized Chaplygin Gas with a Potential.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure The Riemann Problem for the Generalized Chaplygin Gas with a Potential

Reference 20

Resolution: verified exact; doi, observed 2026-08-05T00:52:25.381195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fb5311d8-5722-41f9-b516-d894d6619f52 · outbound

This paper cites Hyperbolic Systems of Conservation Laws II.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Hyperbolic Systems of Conservation Laws II

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T00:52:24.278696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2b0ffbf-17fb-4b91-989e-d27cd7c742f7 · outbound

This paper cites an unresolved cited work.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-05T00:52:27.880651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation df30a603-cc00-4f5c-a182-9ece580ada68 · outbound

This paper cites Delta-shocks for a 2×2 balance system of Keyfitz–Kranzer type with varying Chaplygin gas.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Delta-shocks for a 2×2 balance system of Keyfitz–Kranzer type with varying Chaplygin gas

Reference 23

Resolution: verified exact; doi, observed 2026-08-05T00:52:25.248049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e53d2a5e-ddb9-4a60-9e99-cc7d232ba917 · outbound

This paper cites Admissibility of a solution to generalized Chaplygin gas.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Admissibility of a solution to generalized Chaplygin gas

Reference 24

Resolution: verified exact; doi, observed 2026-08-05T00:52:25.141252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6806785c-6ea3-41b3-b835-755591161af3 · outbound

This paper cites On the uniqueness of solution to generalized Chaplygin gas.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure On the uniqueness of solution to generalized Chaplygin gas

Reference 25

Resolution: malformed identifier; no resolver link, observed 2026-08-05T00:52:24.478680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cd66b65-8dc0-43d8-a2ee-2b87b2b30333 · outbound

This paper cites Shadow Waves: Entropies and Interactions for Delta and Singular Shocks.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Shadow Waves: Entropies and Interactions for Delta and Singular Shocks

Reference 26

Resolution: malformed identifier; no resolver link, observed 2026-08-05T00:52:24.520301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 602cd389-076a-4303-8828-af25fdac66ed · outbound

This paper cites The Riemann problem for the Chaplygin gas dy- namics with a single-point heating source.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure The Riemann problem for the Chaplygin gas dy- namics with a single-point heating source

Reference 27

Resolution: verified exact; doi, observed 2026-08-05T00:52:24.973810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2333bbef-d7dd-4905-b573-f8b99792f14b · outbound

This paper cites Existence of Dafermos profiles for singular shocks.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Existence of Dafermos profiles for singular shocks

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:52:27.697219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 72a0a2a7-5485-492c-8eef-735202029e4a · outbound

This paper cites The Riemann problem admittingδ,δ ′-shocks, and vacuum states (the vanishing viscosity approach).

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure The Riemann problem admittingδ,δ ′-shocks, and vacuum states (the vanishing viscosity approach)

Reference 29

Resolution: malformed identifier; no resolver link, observed 2026-08-05T00:52:24.611612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d090059a-3899-4eba-8237-be69b6072eb8 · outbound

This paper cites Delta-Shock Waves as Limits of Vanishing Viscosity for Hyperbolic Systems of Conservation Laws.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Delta-Shock Waves as Limits of Vanishing Viscosity for Hyperbolic Systems of Conservation Laws

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-05T00:52:24.658010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cefb744d-bb7a-43bf-9d25-92bcb561172d · outbound

This paper cites Toro.Riemann Solvers and Numerical Methods for Fluid Dynamics.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Toro.Riemann Solvers and Numerical Methods for Fluid Dynamics

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:52:27.530517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 87740e91-1dde-45ef-b5ed-1dd5c6ee3451 · outbound

This paper cites Singular shocks in a chromatography model.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Singular shocks in a chromatography model

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:52:27.374957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ba59a6d8-5df0-49d9-8997-a382cd071533 · outbound

This paper cites Concentration in the flux approximation limit of Riemann solutions to the extended Chap- lygin gas equations with Coulomb-like friction.

The Riemann Problem for a 3x3 Generalized Chaplygin Gas System with Variable Pressure Concentration in the flux approximation limit of Riemann solutions to the extended Chap- lygin gas equations with Coulomb-like friction

Reference 33

Resolution: verified exact; doi, observed 2026-08-05T00:52:24.883521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

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