Paper Citation Record · LEDGER

Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2311.13033.

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

pith.paper-citation-record.v1
2311.13033 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T14:24:40.195364Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T08:07:44.939518Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 173e93bb-6cb3-4c59-9bc7-474296368bca · inbound

Koopman Subspace Pruning in Reproducing Kernel Hilbert Spaces via Principal Vectors cites this paper.

Koopman Subspace Pruning in Reproducing Kernel Hilbert Spaces via Principal Vectors Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-13T14:24:40.195364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b02bd6d8-e50b-4fc8-9ad0-c59e2e8ceeac · inbound

Subspace Pruning via Principal Vectors for Accurate Koopman-Based Approximations cites this paper.

Subspace Pruning via Principal Vectors for Accurate Koopman-Based Approximations Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-05-14T18:57:50.348771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 10a23ade-ba11-407b-a8a9-d53126059e08 · inbound

Subspace Pruning via Principal Vectors for Accurate Koopman-Based Approximations cites this paper.

Subspace Pruning via Principal Vectors for Accurate Koopman-Based Approximations Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-07-01T14:15:47.699301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cc3dec2a-2d85-43fa-945a-a79861e48b01 · inbound

Trajectory-based Safety of Monotone Systems: Verification and Control Synthesis cites this paper.

Trajectory-based Safety of Monotone Systems: Verification and Control Synthesis Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-20T15:33:25.557286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 302ce9b1-1fab-4997-81e3-6244051478fb · inbound

Flow map learning in nonlinear vector autoregressive models: influence of the feature-library structure on the training error cites this paper.

Flow map learning in nonlinear vector autoregressive models: influence of the feature-library structure on the training error Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models

Reference 94

Resolution: verified exact; arxiv_id, observed 2026-06-28T23:22:46.978411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c86f0ef2-cd2a-4f0a-9dd0-c14aa006c836 · inbound

Koopman meets input-output data: Data-driven output-feedback control of nonlinear systems with closed-loop guarantees cites this paper.

Koopman meets input-output data: Data-driven output-feedback control of nonlinear systems with closed-loop guarantees Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:07:22.543308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bcaefcbf-530b-4b79-9f6b-7d1e78638509 · inbound

Koopman operator theory: fundamentals, control, and applications cites this paper.

Koopman operator theory: fundamentals, control, and applications Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-07-03T08:07:44.941065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.