Paper Citation Record · LEDGER

Multi-Agent, Multi-Scale Systems with the Koopman Operator

As of 23 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2506.15589.

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

pith.paper-citation-record.v1
2506.15589 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:42:38.979779Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

21 of 21 outbound references displayed

verified exact0
verified fuzzy5
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 206a2946-4ca9-476d-ada6-69186824ff88 · outbound

This paper cites Applied koopmanism,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Applied koopmanism,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.913329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e56f88a8-e5ef-40e8-8552-ec02672aa516 · outbound

This paper cites The koopman operator: Capabilities and recent advances,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator The koopman operator: Capabilities and recent advances,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.917393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfb94d2a-f3d6-4cbf-be10-98acf2453b43 · outbound

This paper cites Linear predictors for nonlinear dynamical sys- tems: Koopman operator meets model predictive control,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Linear predictors for nonlinear dynamical sys- tems: Koopman operator meets model predictive control,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.920690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab576257-d07f-469f-95d4-feb7e431d76a · outbound

This paper cites Linear observer synthesis for nonlin- ear systems using koopman operator framework,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Linear observer synthesis for nonlin- ear systems using koopman operator framework,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.924733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 922f73d5-b99d-428a-a0f5-ceb67c3c3a0a · outbound

This paper cites Learning Compositional Koopman Operators for Model-Based Control.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Learning Compositional Koopman Operators for Model-Based Control

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.928104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efea05c4-500d-4804-8fbc-4d85e9df7a64 · outbound

This paper cites Koopman system approximation-based optimal control of multiple mobile robots,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Koopman system approximation-based optimal control of multiple mobile robots,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:39.196021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0c0b7d5f-2a4a-406f-bd61-14443d3b6eba · outbound

This paper cites Special section on multidisciplinary design optimization: multidisciplinary design optimization of dynamic engineering systems,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Special section on multidisciplinary design optimization: multidisciplinary design optimization of dynamic engineering systems,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:39.185739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d5018456-c38a-4856-b595-40256a1612a0 · outbound

This paper cites Koopman operator methods for global phase space exploration of equivariant dynamical systems,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Koopman operator methods for global phase space exploration of equivariant dynamical systems,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.938162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 965f2846-3143-4f6b-95a5-370227c01ba8 · outbound

This paper cites Integrating machine learning and multiscale mod- eling—perspectives, challenges, and opportunities in the biological, biomedical, and behavioral sciences,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Integrating machine learning and multiscale mod- eling—perspectives, challenges, and opportunities in the biological, biomedical, and behavioral sciences,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.940907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00ebe637-086e-48e7-b1bf-67f20dd80ab6 · outbound

This paper cites Stackelberg Game-Theoretic Trajectory Guidance for Multi-Robot Systems with Koopman Operator.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Stackelberg Game-Theoretic Trajectory Guidance for Multi-Robot Systems with Koopman Operator

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.943664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4398e61d-fa84-433a-8d01-d3408a7157f3 · outbound

This paper cites Multi-level optimization with the koopman operator for data-driven, domain-aware, and dynamic system security,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Multi-level optimization with the koopman operator for data-driven, domain-aware, and dynamic system security,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.946915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09218331-ae83-480b-bae4-ac8b99d7dc51 · outbound

This paper cites Operator-theoretic methods for differential games,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Operator-theoretic methods for differential games,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.950323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66d3272a-1caa-4c11-8323-cd3fcf807b70 · outbound

This paper cites The path solver: a nommonotone sta- bilization scheme for mixed complementarity problems,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator The path solver: a nommonotone sta- bilization scheme for mixed complementarity problems,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:39.153551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0a3509b8-98b0-4df3-84a1-c92378ec7c6e · outbound

This paper cites Time scale separation and hierarchical control with the koopman operator,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Time scale separation and hierarchical control with the koopman operator,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:39.141527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 50973b42-cbd5-4791-a6d7-b3e77413582f · outbound

This paper cites Solving the dynamics-aware economic dispatch problem with the koopman operator,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Solving the dynamics-aware economic dispatch problem with the koopman operator,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.960366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bfe10e7-9700-4e41-a197-5e59515f6fbf · outbound

This paper cites A tutorial review of complementarity models for decision-making in energy markets,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator A tutorial review of complementarity models for decision-making in energy markets,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:39.125654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 126865a2-fc77-4c75-aa10-d5155b58c8a4 · outbound

This paper cites an unresolved cited work.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.966946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39876608-13f2-494d-8035-0a6036fb3333 · outbound

This paper cites Deception-based cyber attacks on hierarchical control systems using domain-aware koopman learning,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Deception-based cyber attacks on hierarchical control systems using domain-aware koopman learning,

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.970391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9987f615-143f-4977-97e9-d13e3953e145 · outbound

This paper cites an unresolved cited work.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.973605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d87d285-f483-43d9-91c2-b6a32559e413 · outbound

This paper cites On the implementation of an interior- point filter line-search algorithm for large-scale nonlinear programming,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator On the implementation of an interior- point filter line-search algorithm for large-scale nonlinear programming,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.976813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e51036df-914c-497a-90ab-adb8d5dbe6bb · outbound

This paper cites Causal discovery in nonlinear dynamical systems using koopman operators,.

Multi-Agent, Multi-Scale Systems with the Koopman Operator Causal discovery in nonlinear dynamical systems using koopman operators,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:38.979779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.