Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T10:47:55.084207Z
Paper Citation Record · LEDGER
On the lattice property of the Koopman operator spectrum
As of 16 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.