Paper Citation Record · LEDGER

Deficiency of equation-finding approach to data-driven modeling of dynamical systems

As of 9 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2509.03769.

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

pith.paper-citation-record.v1
2509.03769 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:45:11.364204Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

42 of 42 outbound references displayed

verified exact1
verified fuzzy21
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c29e8f6-bf1a-41eb-8041-dec290323c70 · outbound

This paper cites Grebogi, S.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Grebogi, S

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:14.763329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b3d114a1-5067-4268-830f-0d11db6ea4b2 · outbound

This paper cites Dawson, C.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Dawson, C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:14.753924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5fd44201-2011-4dc4-9dd7-740f02779139 · outbound

This paper cites Cecconi, M.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Cecconi, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:14.744181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0a38392d-5d44-4222-be39-941a9326d01f · outbound

This paper cites Ott, Chaos in Dynamical Systems, 2nd ed.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Ott, Chaos in Dynamical Systems, 2nd ed

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:14.734013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f580dc32-ba10-48ea-9834-974493fcea48 · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:14.724227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d025e00b-b6b8-4b1b-8a02-fbc8d98cd836 · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T10:45:09.526553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95724e69-da67-4836-8d61-d7b1126ccf01 · outbound

This paper cites Lai, Finding nonlinear system equations and com- plex network structures from data: A sparse optimization approach, Chaos 31, 082101 (2021).

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Lai, Finding nonlinear system equations and com- plex network structures from data: A sparse optimization approach, Chaos 31, 082101 (2021)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:14.708824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b7b81adc-8421-4be8-9358-3d2912c0b3d7 · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:14.700038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 39368af1-1904-4ccc-ba38-d7b9fefbbe66 · outbound

This paper cites Boffetta, M.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Boffetta, M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:14.691312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dc235aa1-56fd-4614-ab79-18da7ee6c4fc · outbound

This paper cites Pardo, Statistical Inference Based on Divergence Mea- sures, Statistics: A Series of Textbooks and Monographs (CRC Press, 2018).

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Pardo, Statistical Inference Based on Divergence Mea- sures, Statistics: A Series of Textbooks and Monographs (CRC Press, 2018)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:14.682744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 94092524-602c-44fe-b963-00c7f7fe0840 · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:14.673424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cc3bfba9-94c8-4198-838b-4429a9f19f97 · outbound

This paper cites Mezi´ c, Spectral properties of dynamical systems, model reduction and decompositions, Nonlinear Dynam.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Mezi´ c, Spectral properties of dynamical systems, model reduction and decompositions, Nonlinear Dynam

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:14.664698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4adef11c-5124-4f5a-8582-dd5daf30465c · outbound

This paper cites Budiˇ si´ c, R.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Budiˇ si´ c, R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:14.655406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 122abc45-511f-4c9f-a9ec-510d11e2b1e0 · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:14.646020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d0c3bd05-2590-4008-b246-4c42bcb74cfc · outbound

This paper cites Bridging the Gap between Koopmanism and Response Theory: Using Natural Variability to Predict Forced Response.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Bridging the Gap between Koopmanism and Response Theory: Using Natural Variability to Predict Forced Response

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:45:11.630386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6fcde88f-6f61-4a03-98d9-3cecb21f75d6 · outbound

This paper cites Lucarini, Interpretable and equation-free response theory for complex systems, Phil.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Lucarini, Interpretable and equation-free response theory for complex systems, Phil

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T10:45:10.134372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 061f9341-24d4-4f37-a19f-8d58281f9411 · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:14.636646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation da2e5f45-e872-4e13-9291-27909c05538c · outbound

This paper cites Kong, H.-W.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Kong, H.-W

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:14.627780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a3e36cd3-9d8c-466d-89f0-cab84c32ada8 · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:14.618557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3af3b640-4799-45fa-9487-442b04f5f6a6 · outbound

This paper cites Patel, D.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Patel, D

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:14.608879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 82c5a43b-d0e8-4a30-9430-78d89cf0e661 · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:14.396242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c2c26834-25d5-4178-88ad-3a17d2496e37 · outbound

This paper cites Flynn, V.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Flynn, V

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:14.165898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 20c55531-18ea-4d61-98ff-0dae234b7f9d · outbound

This paper cites LLMs learn governing principles of dynamical systems, revealing an in-context neural scaling law.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems LLMs learn governing principles of dynamical systems, revealing an in-context neural scaling law

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T10:45:10.483065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33285f19-2929-45d4-b6b0-1bd4fe76d3e2 · outbound

This paper cites Zero-shot forecasting of chaotic systems.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Zero-shot forecasting of chaotic systems

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-05T10:45:10.527403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74b10dd5-4725-4bfb-af70-597aaeab5054 · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:13.929589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 01f86ec7-68c4-4f17-b7ac-faac0705bfd0 · outbound

This paper cites Lasota and M.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Lasota and M

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:13.637590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a1439d10-dd2b-4ad5-880e-556cfbdc083a · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:13.333427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 817323b4-e458-4815-8b24-67238c0ac523 · outbound

This paper cites Ikeda, I.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Ikeda, I

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:13.118941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 07b72f20-e417-40be-a398-d3961819462f · outbound

This paper cites Froyland, On Ulam approximation of the isolated spectrum and eigenfunctions of hyperbolic maps, Dis- crete Contin.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Froyland, On Ulam approximation of the isolated spectrum and eigenfunctions of hyperbolic maps, Dis- crete Contin

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:13.033961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0a432e50-6227-44f8-9fc7-2bb0c5d595ff · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:12.943759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f6199492-0067-48b6-b5c1-0a10df0b6292 · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:12.878060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c6b4b473-8a92-469f-afc7-d3e083f444af · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:12.693161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation efbf40aa-4aae-4bf1-a115-cf86caa0eb74 · outbound

This paper cites McCann and P.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems McCann and P

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:12.552816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9a73f583-d192-4740-a5c2-6cd28ab2336c · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-05T10:45:10.904147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e704f36-4c9b-41ef-ade2-a2e9ec9e18a9 · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:12.443809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 13f62e82-8ee9-44b3-9a9f-e36d614a5a17 · outbound

This paper cites Canaday, A.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Canaday, A

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:12.338039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0b9e5210-0185-4e80-bdb4-c1ddcab3f662 · outbound

This paper cites an unresolved cited work.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:45:12.186607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation eb8ccf79-aef2-4c2d-af0f-37d9a35f6d60 · outbound

This paper cites Liu and M.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Liu and M

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:12.089894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5ed2af2d-dd84-490c-84b6-2e9a0a13118b · outbound

This paper cites Tenachi, R.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Tenachi, R

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:11.985832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation eb55e474-9032-4516-b360-7e943b925f35 · outbound

This paper cites KAN: Kolmogorov-Arnold Networks.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems KAN: Kolmogorov-Arnold Networks

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-05T10:45:11.273577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57bf3fe3-c75b-492e-a774-34755b1de3a7 · outbound

This paper cites Panahi, M.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Panahi, M

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:11.900948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6f496726-fca6-4b0c-908a-f8be9f27fd5a · outbound

This paper cites Udrescu and M.

Deficiency of equation-finding approach to data-driven modeling of dynamical systems Udrescu and M

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:45:11.781466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.