Paper Citation Record · LEDGER

Data-driven discovery of governing differential equations across physical systems

As of 8 August 2026, this Paper Citation Record lists 100 of 140 outbound references and 2 inbound Pith citation observations for arXiv:2606.09638.

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

pith.paper-citation-record.v1
2606.09638 v1

Coverage vector

measured 100 of 140 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T17:12:43.357281Z

measured 102 of 102 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T02:36:46.389564Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

100 of 140 outbound references displayed

verified exact4
verified fuzzy0
unresolved96
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c86df577-f7d5-494e-9da4-d2f63b55dd96 · outbound

This paper cites & Ott, E.

Data-driven discovery of governing differential equations across physical systems & Ott, E

Reference 1

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Unavailable: canonical work link unavailable.

Observation 9f9c43a0-8bfe-4773-9963-3e814ba6730c · outbound

This paper cites & Karniadakis, G.

Data-driven discovery of governing differential equations across physical systems & Karniadakis, G

Reference 2

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Observation 7fffb936-7f2d-4bb1-a0d1-9afad50aa808 · outbound

This paper cites InInternational Conference on Learning Representations(2021).

Data-driven discovery of governing differential equations across physical systems InInternational Conference on Learning Representations(2021)

Reference 3

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Observation 3005fb8a-4061-4434-b28a-4737f6e913fb · outbound

This paper cites & Lipson, H.

Data-driven discovery of governing differential equations across physical systems & Lipson, H

Reference 4

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Observation 683e7ceb-10fd-4976-85ad-6da399c78a70 · outbound

This paper cites L., Proctor, J.

Data-driven discovery of governing differential equations across physical systems L., Proctor, J

Reference 5

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Observation 33484d6d-a98e-4271-b91a-f5ce97b1d50d · outbound

This paper cites & Nair, P.

Data-driven discovery of governing differential equations across physical systems & Nair, P

Reference 6

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Observation 31581b21-ab4e-4a06-81e1-5392ad0e43f4 · outbound

This paper cites an unresolved cited work.

Data-driven discovery of governing differential equations across physical systems Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T17:12:43.357281Z

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Observation b0075f20-6cea-4913-a5e8-edbce0e9bf82 · outbound

This paper cites A., Kageorge, L.

Data-driven discovery of governing differential equations across physical systems A., Kageorge, L

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T17:12:43.357281Z

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Observation 4b8cccff-f1aa-4241-ada3-47d1587e942f · outbound

This paper cites an unresolved cited work.

Data-driven discovery of governing differential equations across physical systems Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T17:12:43.357281Z

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Observation 9afbbfd4-e10d-4c66-b73d-9e576bf52814 · outbound

This paper cites & Capecelatro, J.

Data-driven discovery of governing differential equations across physical systems & Capecelatro, J

Reference 10

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Observation 3e5f5593-f61a-47d4-9e46-b52c6f2c3995 · outbound

This paper cites an unresolved cited work.

Data-driven discovery of governing differential equations across physical systems Unresolved cited work

Reference 11

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Observation 02f1951e-5fe8-4a0c-b89d-4017d5693e84 · outbound

This paper cites Water Resour.

Data-driven discovery of governing differential equations across physical systems Water Resour

Reference 12

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Observation 5d165828-a021-4f8e-a1d0-4aea3db51d14 · outbound

This paper cites an unresolved cited work.

Data-driven discovery of governing differential equations across physical systems Unresolved cited work

Reference 13

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Observation 73172ce6-b611-49e4-baf4-dcc79ff34d1e · outbound

This paper cites an unresolved cited work.

Data-driven discovery of governing differential equations across physical systems Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T17:12:43.357281Z

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Observation 2e4161e5-57b6-4c81-87bc-5381f78bfd1a · outbound

This paper cites S., Wikle, C.

Data-driven discovery of governing differential equations across physical systems S., Wikle, C

Reference 15

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Observation 62226ad6-980c-4e94-90c8-d5831f7ec697 · outbound

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Data-driven discovery of governing differential equations across physical systems Unresolved cited work

Reference 16

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Observation a9dcdeae-cbee-4845-9f5b-71120d6fd810 · outbound

This paper cites & Wedelin, D.

Data-driven discovery of governing differential equations across physical systems & Wedelin, D

Reference 17

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Observation 4479c2f2-ebf8-4fc1-96e5-b8e13c844c8c · outbound

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Data-driven discovery of governing differential equations across physical systems Unresolved cited work

Reference 18

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Observation 88d032bd-408b-4022-ac41-885c2458cae3 · outbound

This paper cites & Ahmed, S.

Data-driven discovery of governing differential equations across physical systems & Ahmed, S

Reference 19

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Observation fde65838-bc89-4546-90e6-cc7051517c9e · outbound

This paper cites H., Brunton, S.

Data-driven discovery of governing differential equations across physical systems H., Brunton, S

Reference 20

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Observation 4d603cde-d6f2-4c02-9769-327ea491ba08 · outbound

This paper cites an unresolved cited work.

Data-driven discovery of governing differential equations across physical systems Unresolved cited work

Reference 21

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Observation d7379411-f736-4cf6-97b1-6d3ac0feae4d · outbound

This paper cites & Garikipati, K.

Data-driven discovery of governing differential equations across physical systems & Garikipati, K

Reference 22

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Observation 83474f26-bb27-4d42-a5d7-a5ef747a8ccd · outbound

This paper cites & Garikipati, K.

Data-driven discovery of governing differential equations across physical systems & Garikipati, K

Reference 23

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Observation a17f1f6e-b8de-4c2d-92dd-67060442ef2f · outbound

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Data-driven discovery of governing differential equations across physical systems Unresolved cited work

Reference 24

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Observation e9e64e99-d2af-4bad-b99c-0c650e088b3f · outbound

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Data-driven discovery of governing differential equations across physical systems Unresolved cited work

Reference 25

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Observation 35b0aa0f-083b-42dc-9b9a-2b24a64498e6 · outbound

This paper cites N., Brunton, B.

Data-driven discovery of governing differential equations across physical systems N., Brunton, B

Reference 26

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Observation fe704522-dc3d-44b2-933a-cc3493594ef5 · outbound

This paper cites L., Sbalzarini, I.

Data-driven discovery of governing differential equations across physical systems L., Sbalzarini, I

Reference 27

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Observation 4a752ed4-fbc6-49c9-9d1b-5d37fa6e6318 · outbound

This paper cites Learning partial differential equations via data discovery and sparse optimization.Proc.

Data-driven discovery of governing differential equations across physical systems Learning partial differential equations via data discovery and sparse optimization.Proc

Reference 28

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Observation 6aac2c6b-0a1f-43ff-bb03-7a9efbfe0682 · outbound

This paper cites an unresolved cited work.

Data-driven discovery of governing differential equations across physical systems Unresolved cited work

Reference 29

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Observation 71217f2e-fd6b-4f41-a5ba-763fb3d26498 · outbound

This paper cites Open Source Softw.7, 3994 (2022).

Data-driven discovery of governing differential equations across physical systems Open Source Softw.7, 3994 (2022)

Reference 30

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Observation 1dfdcf40-fbf8-4b39-87fb-8462cd7d7297 · outbound

This paper cites & Brenner, M.

Data-driven discovery of governing differential equations across physical systems & Brenner, M

Reference 31

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Observation 121f6b00-dd39-4d74-a93d-85ca29367177 · outbound

This paper cites & Kusters, R.

Data-driven discovery of governing differential equations across physical systems & Kusters, R

Reference 32

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Observation 6ee61775-4baf-464a-ba57-b7e493e87820 · outbound

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Data-driven discovery of governing differential equations across physical systems & Sun, H

Reference 33

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Observation 743b08c4-7a53-4577-8675-1f6816fbf2d9 · outbound

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Data-driven discovery of governing differential equations across physical systems & Fukui, K.-i

Reference 34

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Observation c52454c2-38c8-4952-980d-ea0c3e48ab15 · outbound

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Data-driven discovery of governing differential equations across physical systems Unresolved cited work

Reference 35

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Observation 884a12d9-b2b7-4833-ad83-dc78e5391e19 · outbound

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Data-driven discovery of governing differential equations across physical systems & Earls, C

Reference 36

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Observation e0ee0ea1-720f-42b3-8a06-cf5495ab33f3 · outbound

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Data-driven discovery of governing differential equations across physical systems & Townsend, A

Reference 37

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Data-driven discovery of governing differential equations across physical systems & Earls, C

Reference 38

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Observation 8ffa35c6-cca2-45ee-a0d4-97eb4521cc40 · outbound

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Data-driven discovery of governing differential equations across physical systems & Yin, W

Reference 39

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Observation 01b20d8d-452d-4d0a-9cad-bb0bd8c2ec06 · outbound

This paper cites & Earls, C.

Data-driven discovery of governing differential equations across physical systems & Earls, C

Reference 40

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This paper cites InInternational conference on learning representations, vol.

Data-driven discovery of governing differential equations across physical systems InInternational conference on learning representations, vol

Reference 41

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This paper cites C., Kim, S.

Data-driven discovery of governing differential equations across physical systems C., Kim, S

Reference 42

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Observation 9da200b1-39c9-47d0-9634-b162bdc87f91 · outbound

This paper cites OptPDE: Discovering Novel Integrable Systems via AI-Human Collaboration.

Data-driven discovery of governing differential equations across physical systems OptPDE: Discovering Novel Integrable Systems via AI-Human Collaboration

Reference 43

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Observation d8b38278-22e6-4643-8471-91cc318382bc · outbound

This paper cites & Dong, B.

Data-driven discovery of governing differential equations across physical systems & Dong, B

Reference 44

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Observation cdb8ff8e-bfff-4fd4-b9e7-f92c0ff0665f · outbound

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Data-driven discovery of governing differential equations across physical systems & Sun, H

Reference 45

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Observation af211a04-ab6a-4b6b-9c72-a27bd156042b · outbound

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Data-driven discovery of governing differential equations across physical systems & Kalyuzhnaya, A

Reference 46

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Observation 14bb890f-4196-4bc7-b323-8f449e83b2b3 · outbound

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Data-driven discovery of governing differential equations across physical systems & Zhang, D

Reference 47

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Data-driven discovery of governing differential equations across physical systems & Karniadakis, G

Reference 48

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Observation 983c9fa3-bd95-4b2f-885e-5dddf4f658d4 · outbound

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Data-driven discovery of governing differential equations across physical systems & Zhang, D

Reference 49

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Data-driven discovery of governing differential equations across physical systems & Dong, B

Reference 50

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Data-driven discovery of governing differential equations across physical systems xiangnan et al.Nonlinear Dyn.1–21 (2025)

Reference 51

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Data-driven discovery of governing differential equations across physical systems & V oigt, H

Reference 52

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Data-driven discovery of governing differential equations across physical systems & Sun, H

Reference 53

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Observation c2d8d71a-e0d9-4347-8234-cf4aab1f927e · outbound

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Data-driven discovery of governing differential equations across physical systems & Tonda, A

Reference 54

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Data-driven discovery of governing differential equations across physical systems & Spector, L

Reference 55

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Data-driven discovery of governing differential equations across physical systems & Zhang, D

Reference 56

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Data-driven discovery of governing differential equations across physical systems G., Beykal, B

Reference 57

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Data-driven discovery of governing differential equations across physical systems & Tegmark, M

Reference 58

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Data-driven discovery of governing differential equations across physical systems neural information processing systems33, 17429–17442 (2020)

Reference 59

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Data-driven discovery of governing differential equations across physical systems Y ., Ariño Bernad, J

Reference 60

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Data-driven discovery of governing differential equations across physical systems & Locatello, F

Reference 61

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This paper cites K.et al.Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradients.

Data-driven discovery of governing differential equations across physical systems K.et al.Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradients

Reference 62

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Observation db91c6e0-e21e-49fb-a334-2fa68b04a7ec · outbound

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Data-driven discovery of governing differential equations across physical systems & Zhang, D

Reference 63

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Observation 7af37043-1831-4c53-a34b-fbd391de1193 · outbound

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Data-driven discovery of governing differential equations across physical systems & Zhang, D

Reference 64

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Observation 6fd88671-e671-447c-a775-af083d66e330 · outbound

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Data-driven discovery of governing differential equations across physical systems & Kilbertus, N

Reference 65

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Data-driven discovery of governing differential equations across physical systems communications 16, 10255 (2025)

Reference 66

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Observation ff0a3642-df95-4305-a9d5-e1a1d5514671 · outbound

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Data-driven discovery of governing differential equations across physical systems Unresolved cited work

Reference 67

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Data-driven discovery of governing differential equations across physical systems H.Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence(MIT press, 1992)

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Data-driven discovery of governing differential equations across physical systems InInternational conference on machine learning, 1928–1937 (PmLR, 2016)

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Pith citing papers

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On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Data-driven discovery of governing differential equations across physical systems

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