Paper Citation Record · LEDGER

Categorical Lyapunov Theory II: Stability of Systems

As of 8 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 5 inbound Pith citation observations for arXiv:2505.22968.

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

pith.paper-citation-record.v1
2505.22968 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:06:16.714518Z

measured 15 of 15 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 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T04:47:40.470930Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

10 of 10 outbound references displayed

verified exact0
verified fuzzy8
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation a0bcadb7-0749-4061-b248-d6da5902508c · outbound

This paper cites Marsden, and Tudor Ratiu.Manifolds, tensor analysis, and ap- plications, volume 75.

Categorical Lyapunov Theory II: Stability of Systems Marsden, and Tudor Ratiu.Manifolds, tensor analysis, and ap- plications, volume 75

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:06:18.237132Z

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 cc679914-2107-4b22-96a7-8cd558d45b5d · outbound

This paper cites Categorical Lyapunov Theory I: Stability of Flows.

Categorical Lyapunov Theory II: Stability of Systems Categorical Lyapunov Theory I: Stability of Flows

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T13:06:16.003692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bccdf6b3-d7ba-4109-b257-fdecc2e0a421 · outbound

This paper cites A categorical approach to probability theory.

Categorical Lyapunov Theory II: Stability of Systems A categorical approach to probability theory

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:06:18.056928Z

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 8a915c86-f307-4bb9-8ed1-8e8fda136dc2 · outbound

This paper cites PhD thesis, University of Califor- nia, Berkeley, 2012.

Categorical Lyapunov Theory II: Stability of Systems PhD thesis, University of Califor- nia, Berkeley, 2012

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:06:17.898892Z

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 694e9e2c-94a6-4693-9e2e-459de9680b13 · outbound

This paper cites PhD thesis, University of Kharkov, 1892.

Categorical Lyapunov Theory II: Stability of Systems PhD thesis, University of Kharkov, 1892

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:06:17.759053Z

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 c8d96ce7-0623-4f99-acda-d841a1ae31df · outbound

This paper cites The general problem of the stability of motion.Interna- tional journal of control, 55(3):531–534, 1992.

Categorical Lyapunov Theory II: Stability of Systems The general problem of the stability of motion.Interna- tional journal of control, 55(3):531–534, 1992

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:06:17.588001Z

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 aeda110b-21f5-4316-9600-eba7a9d7a702 · outbound

This paper cites Springer-Verlag, New York, second edition, 1998.

Categorical Lyapunov Theory II: Stability of Systems Springer-Verlag, New York, second edition, 1998

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:06:17.379844Z

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 82b96e98-4c2e-4d86-b11c-14b3a9fd55c3 · outbound

This paper cites Smooth coalgebra: testing vector analysis.Mathematical Structures in Computer Science, 27(7):1195–1235, 2017.

Categorical Lyapunov Theory II: Stability of Systems Smooth coalgebra: testing vector analysis.Mathematical Structures in Computer Science, 27(7):1195–1235, 2017

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:06:17.223788Z

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 4a5d357a-c659-4a99-b4e5-7ed1b0786872 · outbound

This paper cites an unresolved cited work.

Categorical Lyapunov Theory II: Stability of Systems Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:06:17.072581Z

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 4f4a1f76-0b43-4b9a-9e74-7db4e134622a · outbound

This paper cites Springer Science & Business Media, 2009.

Categorical Lyapunov Theory II: Stability of Systems Springer Science & Business Media, 2009

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:06:16.919344Z

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

Observation 263a2bef-bbc4-45ea-b00f-5c1b195c7a83 · inbound

LC-SAC: Lyapunov-Constrained Soft Actor-Critic via Koopman Operator Theory for Trajectory Tracking and Stabilization cites this paper.

LC-SAC: Lyapunov-Constrained Soft Actor-Critic via Koopman Operator Theory for Trajectory Tracking and Stabilization Categorical Lyapunov Theory II: Stability of Systems

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T04:47:40.470930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0cbb39a-d8b7-4e7b-afe1-200e6b9df0e4 · inbound

Compositionality of Lyapunov functions via assume-guarantee reasoning cites this paper.

Compositionality of Lyapunov functions via assume-guarantee reasoning Categorical Lyapunov Theory II: Stability of Systems

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-13T18:38:07.502417Z

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 62b0f83b-92ae-4fca-aeb5-652d607ca4ea · inbound

Hybrid Systems as Coalgebras: Lyapunov Morphisms for Zeno Stability cites this paper.

Hybrid Systems as Coalgebras: Lyapunov Morphisms for Zeno Stability Categorical Lyapunov Theory II: Stability of Systems

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:20:52.203751Z

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 24539fbc-c87f-4727-8286-0f914e6ab08d · inbound

Bayesian updates from coalgebraic determinisation cites this paper.

Bayesian updates from coalgebraic determinisation Categorical Lyapunov Theory II: Stability of Systems

Reference 74

Resolution: verified exact; arxiv_id, observed 2026-07-02T21:27:23.890844Z

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 c277ea8d-8226-448b-bc85-633eb4fe3ef4 · inbound

Dynamical Systems as Functorial Realisations of Abstract Evolution Shapes cites this paper.

Dynamical Systems as Functorial Realisations of Abstract Evolution Shapes Categorical Lyapunov Theory II: Stability of Systems

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T18:00:32.814353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.