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Paper Citation Record · LEDGER

On the numerical approximation of the Perron-Frobenius and Koopman operator

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1512.05997.

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

pith.paper-citation-record.v1
1512.05997 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:20:52.538915Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-20T19:48:57.382080Z

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 b7f68a56-657f-483d-ad15-b9277f9480fe · inbound

Generative stochastic modeling of strongly nonlinear flows with non-Gaussian statistics cites this paper.

Generative stochastic modeling of strongly nonlinear flows with non-Gaussian statistics On the numerical approximation of the Perron-Frobenius and Koopman operator

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-14T12:20:52.538915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:20:52.538915Z digest=sha256:58fa9244237e3092561e1fb5f728d9232456175905b295d8a0b164255e7ecb41

Observation 37b1ef1e-7567-40c1-8d27-cafc401e2690 · inbound

Invariant Measures for Data-Driven Dynamical System Identification: Analysis and Application cites this paper.

Invariant Measures for Data-Driven Dynamical System Identification: Analysis and Application On the numerical approximation of the Perron-Frobenius and Koopman operator

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-09T19:51:56.818660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T19:51:56.818660Z digest=sha256:cae0dd0d1d26d34c1be7844438eb4c7b1116882197963c2339af5f6419ea7663

Observation 0bc2a675-047e-4723-90c5-df4f31786a14 · inbound

Resolvent-Based Singular-Value Diagnostics for Data-Driven Koopman Finite Sections cites this paper.

Resolvent-Based Singular-Value Diagnostics for Data-Driven Koopman Finite Sections On the numerical approximation of the Perron-Frobenius and Koopman operator

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-04T06:40:29.034927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T06:40:29.034927Z digest=sha256:53b69653427d70d2489149c624faad058d84a036b01f8c661dfcff56f5c17fee

Observation 23c80c55-aae7-4e00-9150-e099dda8ed91 · inbound

Direct Data-Driven Linear Quadratic Tracking via Policy Optimization cites this paper.

Direct Data-Driven Linear Quadratic Tracking via Policy Optimization On the numerical approximation of the Perron-Frobenius and Koopman operator

Reference 107

Resolution
metadata mismatch
local_arxiv, observed 2026-05-20T19:48:57.383551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-05-20T19:47:30.108992Z digest=sha256:669e7605dad0ca9d70b4dc7baccbdf4763f39136b2f7b03a3d582b24db125f54