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Paper Citation Record · LEDGER

Stability Results for the Continuity Equation

As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1908.05995.

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

pith.paper-citation-record.v1
1908.05995 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:07:32.583075Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

29 of 29 outbound references displayed

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  • verified fuzzy23
  • unresolved6
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External citation measurements

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Outbound references

Observation 2dc5471e-95b3-469c-9aaa-3dc07174a7eb · outbound

This paper cites Loss of Regularity for the Continuity Equation with Non-Lipschitz Velocity Field.

Stability Results for the Continuity Equation Loss of Regularity for the Continuity Equation with Non-Lipschitz Velocity Field

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 39fedc17-4d16-4b80-a650-38da40b017c0 · outbound

This paper cites An Explicit Mapping from Linear First Order Hyperbolic PDEs to Difference Systems.

Stability Results for the Continuity Equation An Explicit Mapping from Linear First Order Hyperbolic PDEs to Difference Systems

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d9c7bed2-87b4-414c-85fe-e3c05c0d3259 · outbound

This paper cites an unresolved cited work.

Stability Results for the Continuity Equation Unresolved cited work

Reference 3

Resolution
unresolved
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9eb1f0ec-4b33-4d72-b78d-1e9adeec3175 · outbound

This paper cites The One Dimensional Cauchy Problem , Oxford University Press, 2000.

Stability Results for the Continuity Equation The One Dimensional Cauchy Problem , Oxford University Press, 2000

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7346866d-179f-49a0-8ba0-76f576d613c6 · outbound

This paper cites an unresolved cited work.

Stability Results for the Continuity Equation Unresolved cited work

Reference 5

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 07da2f9d-981c-4e50-8ef4-b97a984d9b4b · outbound

This paper cites Control of the Continuity Equation with a Non Local Flow.

Stability Results for the Continuity Equation Control of the Continuity Equation with a Non Local Flow

Reference 6

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b1b1f5a0-f520-4dd9-ab07-9253ab93813a · outbound

This paper cites Analysis of a Conservation Law Modeling a Highly Re- entrant Manufacturing System.

Stability Results for the Continuity Equation Analysis of a Conservation Law Modeling a Highly Re- entrant Manufacturing System

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1bddf1ef-3b79-4478-a5d7-f2ab98a0203f · outbound

This paper cites Controllability for a S calar Conservation La w with Nonlocal Velocity.

Stability Results for the Continuity Equation Controllability for a S calar Conservation La w with Nonlocal Velocity

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 541dd23f-b8d9-4eb0-bd7b-b23f971784a5 · outbound

This paper cites Output Feedback Stabilization for a Scalar Conservation Law with a Nonlocal Velocity.

Stability Results for the Continuity Equation Output Feedback Stabilization for a Scalar Conservation Law with a Nonlocal Velocity

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f53dd9b7-7b89-4823-b750-d69f9612caf5 · outbound

This paper cites Local Exponential H2 Stabilization of a 2×2 Quasilinear Hyperbolic System Using Backstepping.

Stability Results for the Continuity Equation Local Exponential H2 Stabilization of a 2×2 Quasilinear Hyperbolic System Using Backstepping

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ebf38507-1390-4388-b17d-6aba49031f55 · outbound

This paper cites Stabilization and Controllability of First -Order Integro - Differential Hyperbolic Equations.

Stability Results for the Continuity Equation Stabilization and Controllability of First -Order Integro - Differential Hyperbolic Equations

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation dd85f6b2-fb13-4042-bf32-7de8bded0757 · outbound

This paper cites Finite -Time Boundary Stabilization of General Linear Hyperbolic Balance Laws via Fredholm Backstepping Transformation.

Stability Results for the Continuity Equation Finite -Time Boundary Stabilization of General Linear Hyperbolic Balance Laws via Fredholm Backstepping Transformation

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5296c2fa-06a6-460c-a9ac-bd7b3e8242fa · outbound

This paper cites Boundary Observer Design for Hyperbolic PDE -ODE Cascade Systems.

Stability Results for the Continuity Equation Boundary Observer Design for Hyperbolic PDE -ODE Cascade Systems

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b1f98dee-9450-4067-b463-197b46aeac87 · outbound

This paper cites Boundary Exponential Stabilization of 1 - Dimensional Inhomogeneous Quasi -Linear Hyperbolic Systems.

Stability Results for the Continuity Equation Boundary Exponential Stabilization of 1 - Dimensional Inhomogeneous Quasi -Linear Hyperbolic Systems

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation eabca006-1c5d-421f-a569-24240581d0fe · outbound

This paper cites an unresolved cited work.

Stability Results for the Continuity Equation Unresolved cited work

Reference 15

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a9c0366d-86b9-4754-8477-ddd3006ac380 · outbound

This paper cites an unresolved cited work.

Stability Results for the Continuity Equation Unresolved cited work

Reference 16

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 14d22b10-1c1f-41bf-887a-acdda151cf17 · outbound

This paper cites On the Relation of Delay Equations to First -Order Hyperbolic Partial Differential Equations.

Stability Results for the Continuity Equation On the Relation of Delay Equations to First -Order Hyperbolic Partial Differential Equations

Reference 17

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation fa96a1fa-9e60-4459-b22c-9a9f908a4a7d · outbound

This paper cites Stability of Integral Delay Equations and Stabilization of Age - Structured Models.

Stability Results for the Continuity Equation Stability of Integral Delay Equations and Stabilization of Age - Structured Models

Reference 18

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation afad5614-25fc-44dd-8e12-b99dd46a8e04 · outbound

This paper cites Sampled-Data Boundary Feedback Control of 1-D Linear Transport PDEs with Non-Local Terms.

Stability Results for the Continuity Equation Sampled-Data Boundary Feedback Control of 1-D Linear Transport PDEs with Non-Local Terms

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9eb7bf44-9da5-4c5d-bd17-7d2e0f61a84c · outbound

This paper cites an unresolved cited work.

Stability Results for the Continuity Equation Unresolved cited work

Reference 20

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 413afb83-9461-4151-94cc-01a672a2ac40 · outbound

This paper cites Feedback Control of Scalar Conservation Laws with Application to Density Control in Freeways by Means of Variable Speed Limits.

Stability Results for the Continuity Equation Feedback Control of Scalar Conservation Laws with Application to Density Control in Freeways by Means of Variable Speed Limits

Reference 21

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verified fuzzy
raw_fallback, observed 2026-08-14T13:07:32.739889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d9169f56-bae0-4e4c-b4c2-236514ea1dd8 · outbound

This paper cites Analysis and Control of a Non-Standard Hyperbolic PDE Traffic Flow Model.

Stability Results for the Continuity Equation Analysis and Control of a Non-Standard Hyperbolic PDE Traffic Flow Model

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T13:07:32.553224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7eb4eb85-b46a-4fe9-b45a-7a26353d2e44 · outbound

This paper cites Control of Continuum Models of Production Systems.

Stability Results for the Continuity Equation Control of Continuum Models of Production Systems

Reference 23

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9954a6a3-8ba9-4e77-ba4d-2606780a52c0 · outbound

This paper cites Robust Boundary Control of Systems of Conservation Laws.

Stability Results for the Continuity Equation Robust Boundary Control of Systems of Conservation Laws

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1ec9d6ec-a7d9-4a16-8d17-275716a2a8a2 · outbound

This paper cites Boundary Feedback Control of Linear Hyperbolic Systems: Application to the Saint-Venant–Exner Equations.

Stability Results for the Continuity Equation Boundary Feedback Control of Linear Hyperbolic Systems: Application to the Saint-Venant–Exner Equations

Reference 25

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f21c3fbe-b8b1-42fa-b920-3bde9b689cd0 · outbound

This paper cites A., Partial Differential Equations.

Stability Results for the Continuity Equation A., Partial Differential Equations

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:07:32.679804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 202b3b33-e125-45f7-92b7-0a8993899e27 · outbound

This paper cites K., Atmospheric and Oceanic Fluid Dynamics, Cambridge University Press, 2006.

Stability Results for the Continuity Equation K., Atmospheric and Oceanic Fluid Dynamics, Cambridge University Press, 2006

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:07:32.665131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3b87c9ec-7bdd-406b-a1ff-bd5e5b555c37 · outbound

This paper cites Traffic Congestion Control of Aw -Rascle-Zhang M odel.

Stability Results for the Continuity Equation Traffic Congestion Control of Aw -Rascle-Zhang M odel

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:07:32.650294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9868333d-ef89-49e2-9bb4-8b3c78ea157b · outbound

This paper cites PI Boundary Control of Linear Hyperbolic Balance Laws with Stabilization of ARZ Traffic Flow Models.

Stability Results for the Continuity Equation PI Boundary Control of Linear Hyperbolic Balance Laws with Stabilization of ARZ Traffic Flow Models

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:07:32.635231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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