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Paper Citation Record · LEDGER

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds

As of 14 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2411.11598.

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

pith.paper-citation-record.v1
2411.11598 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:30:47.487140Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-20T10:26:44.983334Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-20T10:28:11.935183Z

Reference resolution

33 of 33 outbound references displayed

  • verified exact1
  • verified fuzzy19
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f5514ff9-ad36-4eda-8160-0038467a5b77 · outbound

This paper cites Abudia, J.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Abudia, J

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6e5f5a09-5eca-4ef6-bd78-704ce302d571 · outbound

This paper cites Amini, C.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Amini, C

Reference 2

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 3764f76d-f43f-40c5-a8b7-cd4e3fc87ebc · outbound

This paper cites Amini, Q.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Amini, Q

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 571b6280-4ec6-45c7-9435-3fa5077a13d2 · outbound

This paper cites Amini, Q.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Amini, Q

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:30:47.948324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T18:30:47.385488Z digest=sha256:17ab6e2b9233d25f28d4488ab734e3b323d55b8e792e615d617143205e31cf21

Observation bd59607f-c214-41b5-99dc-6473fc65e726 · outbound

This paper cites Amini, Q.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Amini, Q

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:30:47.937810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 78e6b2a5-dc10-49aa-a70e-e9d4bb5def5e · outbound

This paper cites Akiba, Y.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Akiba, Y

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation df0f112d-7280-4973-a30c-3aecb5b52425 · outbound

This paper cites Brockett, The early days of geometric nonlinear control, Automatica, 50(9), 2014, pp.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Brockett, The early days of geometric nonlinear control, Automatica, 50(9), 2014, pp

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 8431bb80-0767-42af-a2d9-5551dfbb6496 · outbound

This paper cites an unresolved cited work.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Unresolved cited work

Reference 8

Resolution
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raw_fallback, observed 2026-08-12T18:30:47.905656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation eaa6ab89-c671-4142-a316-6a83dc3630ed · outbound

This paper cites an unresolved cited work.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Unresolved cited work

Reference 9

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T18:30:47.403992Z digest=sha256:be483f69d6b84f7ba241d09eea892a8fe2dd24f6cd2d3bd3aafdecce051d2154

Observation 202626f3-b68e-4711-9219-71c95018f795 · outbound

This paper cites Dietert, Stability and bifurcation for the Kuramoto model, Journal de Math´ ematiques Pures et Appliqu´ ees, 105(4), 2016, pp.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Dietert, Stability and bifurcation for the Kuramoto model, Journal de Math´ ematiques Pures et Appliqu´ ees, 105(4), 2016, pp

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 31bc3af9-8603-479b-814f-44bee33f1a06 · outbound

This paper cites Explicit Error Bounds for Carleman Linearization.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Explicit Error Bounds for Carleman Linearization

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-12T18:30:47.410888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation fc7e964b-6192-41af-946f-c7fba92ad77d · outbound

This paper cites Forets and C.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Forets and C

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 2749d282-56bd-4cb1-b2d1-c927a74c4776 · outbound

This paper cites an unresolved cited work.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Unresolved cited work

Reference 13

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c06b4fc3-cb9e-410e-b546-311f0049106c · outbound

This paper cites Hashemian and A.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Hashemian and A

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 8e29648e-1381-46b4-9d55-5a672630ce1f · outbound

This paper cites an unresolved cited work.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:30:47.842880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation ae6cb4e7-985d-412b-9ab7-077ef16cff31 · outbound

This paper cites an unresolved cited work.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Unresolved cited work

Reference 16

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation cfbee5ca-d81e-4163-8d88-2a75fb3b0b6a · outbound

This paper cites Korda and I.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Korda and I

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 4abaa8d1-702a-412e-85ec-6f6a9c74c544 · outbound

This paper cites Korda and I.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Korda and I

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 163424db-6bdf-4529-86ce-fef7850b8de8 · outbound

This paper cites Kowalski and W.H.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Kowalski and W.H

Reference 19

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 97a6c810-820d-426f-8a9f-58ab679ef27e · outbound

This paper cites an unresolved cited work.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:30:47.791320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 845553d0-ce98-4e32-93df-84ec2775bf21 · outbound

This paper cites an unresolved cited work.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:30:47.781192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T18:30:47.446010Z digest=sha256:9d1fadd9cdfb7c26e57b15c9de9129cffc7f7eee03cdeb47c19c78739abb92dd

Observation f1b66e76-40fb-44d9-8174-370802900eaa · outbound

This paper cites Kuramoto, Chemical oscillations, waves, and turbulence, New York, Springer-Verlag, 1984.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Kuramoto, Chemical oscillations, waves, and turbulence, New York, Springer-Verlag, 1984

Reference 22

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation a7f56dbf-104c-4ba6-83c7-c6817dcf2aee · outbound

This paper cites an unresolved cited work.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Unresolved cited work

Reference 23

Resolution
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raw_fallback, observed 2026-08-12T18:30:47.648983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 68c75ba4-1592-4d99-8638-550d395eda72 · outbound

This paper cites Loparo and G.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Loparo and G

Reference 24

Resolution
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation e598cda4-227d-4f72-9383-cb7ac8512328 · outbound

This paper cites Minisini, A.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Minisini, A

Reference 25

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c5fc9ddb-e6c9-421a-a559-a44fa0a54c2c · outbound

This paper cites Motee and Q.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Motee and Q

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T18:30:47.462590Z digest=sha256:537847bc9529b130126a9d267d5d074bf412dda09487a566e1da2a70de611460

Observation 0a4630ad-eee8-4ca0-811f-e2b68c0e14b1 · outbound

This paper cites Moment Propagation of Polynomial Systems Through Carleman Linearization for Probabilistic Safety Analysis.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Moment Propagation of Polynomial Systems Through Carleman Linearization for Probabilistic Safety Analysis

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-12T18:30:47.535081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 2308f119-1116-4be2-99ea-f32d0b657976 · outbound

This paper cites an unresolved cited work.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:30:47.602655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 9adfea58-df2e-4a33-a0a2-bcf290b888dd · outbound

This paper cites Rotondo, G.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Rotondo, G

Reference 29

Resolution
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raw_fallback, observed 2026-08-12T18:30:47.590916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 0b19f6aa-59c3-49bf-bff7-5de825e3a8ac · outbound

This paper cites an unresolved cited work.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:30:47.579856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T18:30:47.476696Z digest=sha256:c5760d2ced4d7c724e106994e632d7164fc61913363051f54bd553faf845f110

Observation 53249c08-c8ba-4bee-916c-feae62dc1e5d · outbound

This paper cites Surana, A.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Surana, A

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:30:47.568661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation e884ea29-6251-42c1-ad67-976c433dfbc1 · outbound

This paper cites an unresolved cited work.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:30:47.558165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T18:30:47.483773Z digest=sha256:b8d9f9c3441cb90f74407e262e91f4b8fb022a306978d5025a44af365b2b9f60

Observation 60d10651-dc10-4673-9203-041ec69e7bcc · outbound

This paper cites Quantum Algorithms for Nonlinear Dynamics: Revisiting Carleman Linearization with No Dissipative Conditions.

Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds Quantum Algorithms for Nonlinear Dynamics: Revisiting Carleman Linearization with No Dissipative Conditions

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-12T18:30:47.487140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T18:30:47.487140Z digest=sha256:23b901b9870f877529442139f7254800f133e942deb321acb7b0c5f04611b797

Pith citing papers

Observation 1ddbde0a-f80c-41fa-99f4-144a0e73535c · inbound

Quantum Koopman Algorithms cites this paper.

Quantum Koopman Algorithms Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-05-20T10:28:11.937008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-20T10:26:44.983334Z digest=sha256:d6573b1d5f0e4e8ddb25daa8d739e83844037bb95c0da48624464b1ef3bb6a9d