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Paper Citation Record · LEDGER

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations

As of 11 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2501.04998.

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pith.paper-citation-record.v1
2501.04998 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:27:40.003831Z

measured 28 of 28 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

28 of 28 outbound references displayed

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External citation measurements

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Outbound references

Observation d6d83056-5f44-4d3d-8226-cdb140855877 · outbound

This paper cites Arnold, Mathematical Methods of Classical Mechanics , 2nd edition, Graduate Texts in Mathematics, 60.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Arnold, Mathematical Methods of Classical Mechanics , 2nd edition, Graduate Texts in Mathematics, 60

Reference 1

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation a7347502-714e-48b7-8c08-657706e75c1f · outbound

This paper cites Bravetti, H.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Bravetti, H

Reference 2

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Observation 57f6a683-78ac-4728-a8bc-1827eb00b6fa · outbound

This paper cites Crandall and P.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Crandall and P

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation d72541f4-d44e-49f9-b7ed-20fa07b242ea · outbound

This paper cites Crandall, L.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Crandall, L

Reference 4

Resolution
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Source-reported events for the cited work

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Observation c32d29d1-58f5-48de-a342-062141f02431 · outbound

This paper cites Contreras, R.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Contreras, R

Reference 5

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verified fuzzy
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Source-reported events for the cited work

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Observation 3d0bf88e-b64f-4bbb-902d-62092de0629a · outbound

This paper cites an unresolved cited work.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Unresolved cited work

Reference 6

Resolution
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Observation 3b18b6e7-5855-481d-b0f1-c17321e840f6 · outbound

This paper cites de León and C.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations de León and C

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 5622ba4d-b51c-4970-a230-ff0d5abd700f · outbound

This paper cites de León and M.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations de León and M

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 4c808f13-7375-4079-9f58-c6e0ba9186f9 · outbound

This paper cites de León and M.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations de León and M

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 2026-08-11T06:34:44.6726+00:00.

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Observation ac824acc-1959-46a3-9e79-f0afb4d83732 · outbound

This paper cites Fathi, Théorème KAM faible et théorie de Mather sur le s systèmes lagrangiens.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Fathi, Théorème KAM faible et théorie de Mather sur le s systèmes lagrangiens

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation aa75ccd8-7d97-4d5d-b37e-808b0be8b7e6 · outbound

This paper cites Fathi, Solutions KAM faibles conjuguées et barrière s de Peierls.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Fathi, Solutions KAM faibles conjuguées et barrière s de Peierls

Reference 11

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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 2026-08-11T06:34:44.6726+00:00.

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Observation 083945b6-2654-4189-80b3-7e7b97bb705c · outbound

This paper cites Fathi and A.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Fathi and A

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 631b6ab4-a284-40af-80b2-6bbd6425a951 · outbound

This paper cites Fathi, Weak KAM Theorem in Lagrangian Dynamics.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Fathi, Weak KAM Theorem in Lagrangian Dynamics

Reference 13

Resolution
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Source-reported events for the cited work

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Observation aaecaf56-4742-4bbb-a8a8-a0a9bff70afe · outbound

This paper cites Hale, Dynamical systems and stability, J.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Hale, Dynamical systems and stability, J

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f0683bad-2c4f-4bd3-837c-d584c5b63572 · outbound

This paper cites Hale, Ordinary Differential Equations, Pure Appl.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Hale, Ordinary Differential Equations, Pure Appl

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 5206766b-95c5-45a4-a907-c5a0d4c6773f · outbound

This paper cites Ishii, Perron’s method for Hamilton-Jacobi equatio ns.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Ishii, Perron’s method for Hamilton-Jacobi equatio ns

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 806e454f-3ca7-4cd6-bae1-80ea1a4f3133 · outbound

This paper cites Krasovskii, Stability of motion.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Krasovskii, Stability of motion

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation eaef6de2-2cb2-472c-ad43-00b38a21cc0a · outbound

This paper cites an unresolved cited work.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Unresolved cited work

Reference 18

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation cd318911-aa21-49ad-98c8-7fc3cc7ac850 · outbound

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The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Unresolved cited work

Reference 19

Resolution
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 81d6e3d1-fd73-462f-a44a-31c11977ec7d · outbound

This paper cites Papanicolaou, P.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Papanicolaou, P

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation e215cf4c-2d4e-4d0a-832d-2b32b63e0957 · outbound

This paper cites Lyapunov stability and uniqueness problems for Hamilton-Jacobi equations without monotonicity.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Lyapunov stability and uniqueness problems for Hamilton-Jacobi equations without monotonicity

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 4a65c970-11f1-4a84-ab60-7243d109b202 · outbound

This paper cites an unresolved cited work.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Unresolved cited work

Reference 22

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 239ca5d6-ee82-4c73-a1fa-107f39e650eb · outbound

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The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 8e133e00-fc14-4bbb-b718-06501c76758b · outbound

This paper cites an unresolved cited work.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Unresolved cited work

Reference 24

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Observation 391d1a10-22ac-4f9b-89ea-e06f0bdc751f · outbound

This paper cites Ergodic problems for contact Hamilton-Jacobi equations.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Ergodic problems for contact Hamilton-Jacobi equations

Reference 25

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 4b058e47-1f33-4129-a0f8-433e8a9ed333 · outbound

This paper cites Wenjia, H.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Wenjia, H

Reference 26

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 875fd546-b2b3-40ea-b187-faee8b65eb04 · outbound

This paper cites Dynamics of globally minimizing orbits in contact Hamiltonian systems.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Dynamics of globally minimizing orbits in contact Hamiltonian systems

Reference 27

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 193c2144-1d0a-462e-8ca4-4cb649a45902 · outbound

This paper cites an unresolved cited work.

The existence and stability of viscosity solutions to perturbed contact Hamilton-Jacobi equations Unresolved cited work

Reference 28

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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