Paper Citation Record · LEDGER

On the lattice property of the Koopman operator spectrum

As of 11 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2507.23498.

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

pith.paper-citation-record.v1
2507.23498 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:47:55.084207Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

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.

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

14 of 14 outbound references displayed

verified exact0
verified fuzzy5
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b06d5365-3797-4c57-8e35-d6820f7b12a7 · outbound

This paper cites an unresolved cited work.

On the lattice property of the Koopman operator spectrum Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:47:55.415618Z

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.

Observation f8d080af-fa6f-4332-976b-3e206788f635 · outbound

This paper cites an unresolved cited work.

On the lattice property of the Koopman operator spectrum Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:47:55.398493Z

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.

Observation 3d9aa48b-a81c-4704-8fb7-a4076bd4df92 · outbound

This paper cites an unresolved cited work.

On the lattice property of the Koopman operator spectrum Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:47:55.380997Z

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.

Observation 347d23f6-795b-4290-a0d8-8b45b51674c6 · outbound

This paper cites 2, 229–340.

On the lattice property of the Koopman operator spectrum 2, 229–340

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:47:55.356608Z

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.

Observation e55c9717-e4ae-436d-b1da-fd0d27321145 · outbound

This paper cites an unresolved cited work.

On the lattice property of the Koopman operator spectrum Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:47:55.333400Z

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.

Observation f0a695ca-5eea-4614-9cf0-6d51446b181c · outbound

This paper cites The kernel perspective on dynamic mode decomposition.

On the lattice property of the Koopman operator spectrum The kernel perspective on dynamic mode decomposition

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T10:47:55.005475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc14c8b1-5aa2-4a61-b8d1-df92c327472a · outbound

This paper cites an unresolved cited work.

On the lattice property of the Koopman operator spectrum Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:47:55.316033Z

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.

Observation d03093d6-1f5e-4dc7-84cb-d8aacb924ece · outbound

This paper cites 1, 51–79.

On the lattice property of the Koopman operator spectrum 1, 51–79

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:47:55.297297Z

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.

Observation 6c10450b-7f49-439a-b33a-0cc5e1af0f3b · outbound

This paper cites 1, 015014.

On the lattice property of the Koopman operator spectrum 1, 015014

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:47:55.277127Z

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.

Observation d66567b2-9a72-4e9d-a43c-36e6751f8aaf · outbound

This paper cites 5, 315–318.

On the lattice property of the Koopman operator spectrum 5, 315–318

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:47:55.253645Z

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.

Observation bd7732b5-f625-4fee-9abf-b6e413c917e1 · outbound

This paper cites an unresolved cited work.

On the lattice property of the Koopman operator spectrum Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:47:55.232178Z

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.

Observation bbe06514-6b84-44bc-94f9-48bdb3d811c0 · outbound

This paper cites an unresolved cited work.

On the lattice property of the Koopman operator spectrum Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:47:55.214034Z

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.

Observation e99e5107-33e6-4019-a0c5-ce30f2e44c66 · outbound

This paper cites 3, 1930–1951.

On the lattice property of the Koopman operator spectrum 3, 1930–1951

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:47:55.186037Z

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.

Observation 603dbb1a-fc70-4281-a3c9-686e2aadc615 · outbound

This paper cites an unresolved cited work.

On the lattice property of the Koopman operator spectrum Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:47:55.163955Z

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.

Pith citing papers

No inbound Pith citation observations are available.