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Paper Citation Record · LEDGER

Physics-informed reduced-order modelling with equivariant spectral submanifolds

As of 10 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2608.04239.

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

pith.paper-citation-record.v1
2608.04239 v1

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

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measured 59 of 59 standing notices

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

59 of 59 outbound references displayed

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External citation measurements

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Outbound references

Observation b05b9539-d1df-49df-835a-2aac60a023ce · outbound

This paper cites Data-driven modeling and prediction of non-linearizable dynamics via spectral submanifolds , volume =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Data-driven modeling and prediction of non-linearizable dynamics via spectral submanifolds , volume =

Reference 1

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This paper cites 1992 , issn =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds 1992 , issn =

Reference 2

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Observation 9a28176a-4488-4ac4-84fc-4c106ec0b7ad · outbound

This paper cites Higher Order Dynamic Mode Decomposition , journal =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Higher Order Dynamic Mode Decomposition , journal =

Reference 3

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Observation 3133a3e1-3625-4aff-8388-aceb6fb7bbe4 · outbound

This paper cites Tune: A Research Platform for Distributed Model Selection and Training.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Tune: A Research Platform for Distributed Model Selection and Training

Reference 4

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Observation 11eeea9a-ad91-4981-81a2-89b4af5ce99d · outbound

This paper cites Physical Review Research , keywords =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Physical Review Research , keywords =

Reference 5

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Observation 76230ee9-846f-4935-949e-d4aa7e1a8ed7 · outbound

This paper cites Tellus A: Dynamic Meteorology and Oceanography , volume=.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Tellus A: Dynamic Meteorology and Oceanography , volume=

Reference 6

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Unresolved cited work

Reference 7

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Observation 2d51a55c-5b92-4393-959d-6ca2599b1545 · outbound

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Unresolved cited work

Reference 8

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This paper cites 1983 , series =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds 1983 , series =

Reference 9

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This paper cites 2011 , publisher=.

Physics-informed reduced-order modelling with equivariant spectral submanifolds 2011 , publisher=

Reference 10

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Unresolved cited work

Reference 11

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Observation 9eb0b2ac-beda-45c1-89e0-5f8bdf8d837c · outbound

This paper cites Mathematics of Computation , year =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Mathematics of Computation , year =

Reference 12

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Observation 5260fb83-f5d1-4d2e-a638-18bf625aab5c · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Advances in Neural Information Processing Systems , volume=

Reference 13

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Physics-informed reduced-order modelling with equivariant spectral submanifolds and Budi

Reference 14

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Observation f6869f9c-e8fb-4b62-99ed-1a2449a4f70d · outbound

This paper cites An Introductory Guide to Koopman Learning.

Physics-informed reduced-order modelling with equivariant spectral submanifolds An Introductory Guide to Koopman Learning

Reference 15

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Physics-informed reduced-order modelling with equivariant spectral submanifolds 2025 , issn =

Reference 16

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Observation 15afdf72-a264-42ca-9f39-4395647ef22f · outbound

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Physics-informed reduced-order modelling with equivariant spectral submanifolds and D’Souza, Raissa M

Reference 17

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Observation 054c23f0-5857-40eb-8f76-8598f60e8221 · outbound

This paper cites Nathan and Brunton, Bingni W.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Nathan and Brunton, Bingni W

Reference 18

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Observation 4fa11650-9f62-4429-811a-f48bed802b06 · outbound

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Physical Review Letters , author =

Reference 19

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Observation 30becf99-7578-4d37-940b-6625b5828e49 · outbound

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Journal of Computer and System Sciences , author =

Reference 20

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Unresolved cited work

Reference 21

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Neural computation , volume=

Reference 22

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Physics-informed reduced-order modelling with equivariant spectral submanifolds and Costa, M

Reference 23

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Variable projection methods for an optimized dynamic mode decomposition , Volume =

Reference 24

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Physics-informed reduced-order modelling with equivariant spectral submanifolds de Silva and J

Reference 25

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators , volume =

Reference 26

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Hou and Max Tegmark , booktitle=

Reference 27

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Physics-informed reduced-order modelling with equivariant spectral submanifolds The Eleventh International Conference on Learning Representations , year=

Reference 28

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Physics-informed reduced-order modelling with equivariant spectral submanifolds The Ninth International Conference on Learning Representations , year=

Reference 29

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Unresolved cited work

Reference 30

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Physics-informed reduced-order modelling with equivariant spectral submanifolds The Fourteenth International Conference on Learning Representations , year=

Reference 31

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Nathan , journal=

Reference 32

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Explicit symmetric low-regularity integrators for the nonlinear Schr

Reference 33

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Foundations of Computational Mathematics , pages=

Reference 34

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Physics-informed reduced-order modelling with equivariant spectral submanifolds and Lubich, C

Reference 35

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Physics-informed reduced-order modelling with equivariant spectral submanifolds and Stern, Ari , date =

Reference 36

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Observation aa7742ab-c33a-4e6e-b23c-366f15e86a2f · outbound

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Fast data-driven model reduction for nonlinear dynamical systems , volume =

Reference 37

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correction dated 2023-02-21. Source: crossref record 10.1007/s11071-022-08151-6->10.1007/s11071-022-08014-0:correction, observed 2026-07-11T02:59:15.553769+00:00. This notice travels one citation hop only.

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Observation 7c05302c-98a1-4228-9e31-b70d6cd2ee90 · outbound

This paper cites The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces.

Physics-informed reduced-order modelling with equivariant spectral submanifolds The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces

Reference 38

Resolution
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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.

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Observation 9550f83b-49d2-4712-8a4a-f94ce2b5cb40 · outbound

This paper cites The parameterization method for invariant manifolds II: regularity with respect to parameters.

Physics-informed reduced-order modelling with equivariant spectral submanifolds The parameterization method for invariant manifolds II: regularity with respect to parameters

Reference 39

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation cd12534c-246d-403d-aa62-05856772ec94 · outbound

This paper cites 2005 , issn =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds 2005 , issn =

Reference 40

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 23a44ad0-c174-4e32-a6c3-af0271ad5ebc · outbound

This paper cites Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction , volume =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction , volume =

Reference 41

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 0e58f123-3f3a-41af-9520-f4512834b93c · outbound

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Unresolved cited work

Reference 42

Resolution
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 2be6b2f1-3d5b-4a45-a0b2-f1fd73380fb6 · outbound

This paper cites 1977 , edition =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds 1977 , edition =

Reference 43

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7d654fcd-989f-43ac-bd6e-867b5a327bca · outbound

This paper cites Nonlinear dynamics , volume=.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Nonlinear dynamics , volume=

Reference 44

Resolution
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Observation 30700b47-7082-42c0-a858-8c8453320a18 · outbound

This paper cites Chaos: An Interdisciplinary Journal of Nonlinear Science , volume =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Chaos: An Interdisciplinary Journal of Nonlinear Science , volume =

Reference 45

Resolution
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Observation 5385221b-8f9a-4121-8d94-405c74c096cd · outbound

This paper cites Science advances , volume=.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Science advances , volume=

Reference 46

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Physics-informed reduced-order modelling with equivariant spectral submanifolds Unresolved cited work

Reference 47

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 9144a16e-8e99-4a50-be64-fad7fbd27e17 · outbound

This paper cites Tu and Clarence W.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Tu and Clarence W

Reference 48

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Source-reported events for the cited work

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Observation fc22e60b-48f9-4790-8541-62f94d15104c · outbound

This paper cites Dynamical Systems and Turbulence, Warwick 1980 , editor =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Dynamical Systems and Turbulence, Warwick 1980 , editor =

Reference 49

Resolution
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Observation db015d30-a31c-4e5b-9a0f-778f2e64edab · outbound

This paper cites and Casdagli, Martin , date =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds and Casdagli, Martin , date =

Reference 50

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 1dc894ed-4900-4722-905b-d135fb5e0fdb · outbound

This paper cites Deyle and George Sugihara , title =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Deyle and George Sugihara , title =

Reference 51

Resolution
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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.

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Observation 77b5bb8f-c3d1-415e-9102-afdf7decadab · outbound

This paper cites Capturing the edge of chaos as a spectral submanifold in pipe flows , volume=.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Capturing the edge of chaos as a spectral submanifold in pipe flows , volume=

Reference 52

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ea10d2cc-a5eb-4bcb-8bc7-2b26c194876a · outbound

This paper cites Nathan and Brunton, Steven L.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Nathan and Brunton, Steven L

Reference 53

Resolution
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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.

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Observation 7fc662a5-a06c-47f3-bfa8-6af3c85d1f97 · outbound

This paper cites Brunton and Joshua L.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Brunton and Joshua L

Reference 54

Resolution
verified fuzzy
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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.

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Observation ef761f47-f85e-4fb0-b1e8-9f68cfd5d485 · outbound

This paper cites Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , volume=.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , volume=

Reference 55

Resolution
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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.

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Observation 87f2f6e3-ed25-48cf-befa-5608a001b57b · outbound

This paper cites 2017 , doi =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds 2017 , doi =

Reference 56

Resolution
verified fuzzy
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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.

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Observation a6911172-5a73-4dd9-9f62-7cb7509288fe · outbound

This paper cites Chaos: An Interdisciplinary Journal of Nonlinear Science , volume =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Chaos: An Interdisciplinary Journal of Nonlinear Science , volume =

Reference 57

Resolution
verified fuzzy
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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.

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Observation 3a64aef8-ef33-43bb-9792-d88add1be098 · outbound

This paper cites Symmetry-Informed Governing Equation Discovery , volume =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Symmetry-Informed Governing Equation Discovery , volume =

Reference 58

Resolution
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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.

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Observation b0f5815a-7b6e-4fde-8e41-7f4e1abd465a · outbound

This paper cites Model reduction for nonlinearizable dynamics via delay-embedded spectral submanifolds , volume =.

Physics-informed reduced-order modelling with equivariant spectral submanifolds Model reduction for nonlinearizable dynamics via delay-embedded spectral submanifolds , volume =

Reference 59

Resolution
verified exact
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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.

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Pith citing papers

No inbound Pith citation observations are available.