Paper Citation Record · LEDGER

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition

As of 11 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2608.02661.

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

pith.paper-citation-record.v1
2608.02661 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T00:59:38.840058Z

measured 36 of 36 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 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

36 of 36 outbound references displayed

verified exact1
verified fuzzy28
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c6858ba4-3d38-4382-9f23-054baa21df88 · outbound

This paper cites and Mezi.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition and Mezi

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.334196Z

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 aa6b4fda-2272-4cc7-b859-8fb0173eef22 · outbound

This paper cites an unresolved cited work.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-05T00:59:39.327236Z

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 4dcec8fb-9eb3-4abf-8c24-f1f401d6765a · outbound

This paper cites A data--driven approximation of the.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition A data--driven approximation of the

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.319597Z

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 9019d397-5ebc-4b1b-ba63-06e39525dc29 · outbound

This paper cites Rigorous data-driven computation of spectral properties of.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Rigorous data-driven computation of spectral properties of

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.312679Z

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 2429dbb2-f69f-4c53-ab25-29795cdaf525 · outbound

This paper cites IFAC-PapersOnLine , volume =.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition IFAC-PapersOnLine , volume =

Reference 5

Resolution: verified exact; doi, observed 2026-08-05T00:59:38.867789Z

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 ed41779f-c6fc-4369-a14f-26d028e876d1 · outbound

This paper cites Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State Space Geometry.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State Space Geometry

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T00:59:36.425794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53595f16-2c9d-4256-b0c1-b7dde9c3881f · outbound

This paper cites Hamiltonian systems and transformation in.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Hamiltonian systems and transformation in

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.305543Z

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 ef3787d2-52dc-43a8-aac7-11039ba25f4d · outbound

This paper cites Proceedings of the National Academy of Sciences , volume=.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Proceedings of the National Academy of Sciences , volume=

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.298292Z

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 680f7b9b-caf1-41a7-971e-3a846f28d259 · outbound

This paper cites Notices of the American Mathematical Society , year =.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Notices of the American Mathematical Society , year =

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.290835Z

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 1e2d959b-ea50-459d-9a0c-7a0de04314e3 · outbound

This paper cites On convergence of extended dynamic mode decomposition to the.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition On convergence of extended dynamic mode decomposition to the

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.283724Z

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 f6e6c412-7682-41b8-ae7c-875260205728 · outbound

This paper cites Chaos , year=.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Chaos , year=

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.275892Z

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 86d32a8e-4f25-42f3-86f1-7f6c87d1bf46 · outbound

This paper cites an unresolved cited work.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T00:59:39.268815Z

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 1ba04c3a-4e46-471a-aff0-8aa3b1c39195 · outbound

This paper cites Mathematical Methods in the Applied Sciences , year =.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Mathematical Methods in the Applied Sciences , year =

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.261375Z

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 9b035e1c-4200-4231-a277-ee659546f911 · outbound

This paper cites Recursive forward-backward.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Recursive forward-backward

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.254041Z

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 830fd09d-b44c-4e11-9da1-c33e6f0f0d57 · outbound

This paper cites Generalizing dynamic mode decomposition: Balancing accuracy and expressiveness in.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Generalizing dynamic mode decomposition: Balancing accuracy and expressiveness in

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.246407Z

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 cf3ccfb0-05b3-4015-9c6d-374e5e9df826 · outbound

This paper cites Learning.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Learning

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.238760Z

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 3bb861a6-157b-47eb-85df-cac8e684b872 · outbound

This paper cites , journal =.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition , journal =

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.230858Z

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 6bba7e3b-c921-47cb-9f96-52f1258b8667 · outbound

This paper cites and Drysdale, Catherine and Horning, Andrew , journal =.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition and Drysdale, Catherine and Horning, Andrew , journal =

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.151747Z

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 698f71b3-d5e4-4ed7-baae-05475b417428 · outbound

This paper cites and Ayton, Lorna J.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition and Ayton, Lorna J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.144605Z

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 7bbcdb49-359e-45a8-b2ba-cc662a5edbca · outbound

This paper cites 2024 , note =.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition 2024 , note =

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-05T00:59:37.907129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bfb81f1-1fb5-491b-8444-cffeeb9fa2c0 · outbound

This paper cites and Schaller, Manuel and Worthmann, Karl and Peitz, Sebastian and N.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition and Schaller, Manuel and Worthmann, Karl and Peitz, Sebastian and N

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.137493Z

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 c6effb54-24ef-431b-838d-53daa6e59b09 · outbound

This paper cites SIAM Journal on Applied Dynamical Systems , volume =.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition SIAM Journal on Applied Dynamical Systems , volume =

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.129864Z

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 01ade37b-d7ec-46c0-a0c6-6f66f73ea475 · outbound

This paper cites Handbook of Numerical Analysis , volume =.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Handbook of Numerical Analysis , volume =

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.121887Z

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 4a130e2b-bcfe-46d1-9e05-cf96ead65c9b · outbound

This paper cites Spectral properties of dynamical systems, model reduction and decompositions , journal =.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Spectral properties of dynamical systems, model reduction and decompositions , journal =

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.114001Z

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 237f31a0-d7e9-4fad-9889-e74be39677b3 · outbound

This paper cites Analysis of fluid flows via spectral properties of the.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Analysis of fluid flows via spectral properties of the

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.105946Z

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 3a6a99f2-986a-4a5f-bf98-16bc44e33c7d · outbound

This paper cites and Rowley, Clarence W.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition and Rowley, Clarence W

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.098198Z

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 f61d2aaf-77bc-49ff-ae87-c25cbbbb31d4 · outbound

This paper cites and Rowley, Clarence W.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition and Rowley, Clarence W

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.090328Z

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 b50da2ff-0ee0-4054-b8a0-3acf3c756da0 · outbound

This paper cites and Macchio, Gregory R.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition and Macchio, Gregory R

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.082842Z

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 bc9e8eae-d45a-4e22-bede-8d0f8246e539 · outbound

This paper cites Nathan and Brunton, Steven L.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Nathan and Brunton, Steven L

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.074910Z

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 aa6bba40-32ae-4bfc-a5e3-5cdbcd8e57c6 · outbound

This paper cites 1997 , doi =.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition 1997 , doi =

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-05T00:59:38.816258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 661e7a07-bd4d-4958-97ce-56dc174fd341 · outbound

This paper cites 1995 , note =.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition 1995 , note =

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.062219Z

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 7c706b9e-d2e0-41e4-ae40-4026b9976972 · outbound

This paper cites Trustworthy.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Trustworthy

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-05T00:59:38.821870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e6bae67-655a-4c74-b5e2-23cd1c3ff228 · outbound

This paper cites Data-driven spectral analysis of the.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Data-driven spectral analysis of the

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.054170Z

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 d4dbc18b-7081-4d61-ad0f-ac4a37c544cd · outbound

This paper cites Delay-coordinate maps and the spectra of.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition Delay-coordinate maps and the spectra of

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.045643Z

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 a794c0f7-9e07-4124-9fde-2e7657434228 · outbound

This paper cites On Numerical Approximations of the.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition On Numerical Approximations of the

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:59:39.036577Z

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 971baa33-3385-4eba-b697-ef319ce2152b · outbound

This paper cites A data driven Koopman-Schur decomposition for computational analysis of nonlinear dynamics.

Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic Mode Decomposition A data driven Koopman-Schur decomposition for computational analysis of nonlinear dynamics

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-05T00:59:38.840058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.