Paper Citation Record · LEDGER

Carleman Linearization of Partial Differential Equations

As of 18 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2412.00014.

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

pith.paper-citation-record.v1
2412.00014 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:37:55.167994Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T10:25:15.472173Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T05:29:36.237745Z

Reference resolution

22 of 22 outbound references displayed

verified exact5
verified fuzzy1
unresolved15
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 05323bdd-bfb4-48f0-9f1a-7a561055b370 · outbound

This paper cites Quantum algorithm for lin - ear systems of equations,.

Carleman Linearization of Partial Differential Equations Quantum algorithm for lin - ear systems of equations,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.066232Z

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Observation 6e014a31-b4a1-4314-b305-b623f86a2e4b · outbound

This paper cites Quantum differential equation solvers: limitations and fast-forwarding.

Carleman Linearization of Partial Differential Equations Quantum differential equation solvers: limitations and fast-forwarding

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.072170Z

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Observation 854e2a27-b823-4b52-b31e-8d88394f4fb6 · outbound

This paper cites An approximate Fourier transform useful in quantum factoring.

Carleman Linearization of Partial Differential Equations An approximate Fourier transform useful in quantum factoring

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.078021Z

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Observation 2e2a3487-95e3-4fc9-9269-4d58bf902735 · outbound

This paper cites Hamiltonian Systems and Transformation in Hilber t Space,.

Carleman Linearization of Partial Differential Equations Hamiltonian Systems and Transformation in Hilber t Space,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.083566Z

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Observation 49bfc8fc-9118-49de-8e7e-62c0a7d6b331 · outbound

This paper cites What Is the Koo pman Operator? A Simpliﬁed Treatment for Discrete-Time Systems,.

Carleman Linearization of Partial Differential Equations What Is the Koo pman Operator? A Simpliﬁed Treatment for Discrete-Time Systems,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.089063Z

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Observation 0a5daf9b-407e-4981-86d9-aa0ff5dc4219 · outbound

This paper cites Chaos as an intermittently forced linear system,.

Carleman Linearization of Partial Differential Equations Chaos as an intermittently forced linear system,

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.094219Z

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Unavailable: canonical work link unavailable.

Observation 93fcf757-b122-4f98-bad6-2621ffb74b1d · outbound

This paper cites Modern Koopman Theory for Dynamical Systems.

Carleman Linearization of Partial Differential Equations Modern Koopman Theory for Dynamical Systems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.099514Z

Source-reported events for the cited work

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Observation f53130d1-a6ce-4305-b82d-07d127276570 · outbound

This paper cites Application de la th´ eorie des ´ equations int´ egrale s lin´ eaires aux syst` emes d’´ equations diﬀ´ erentielles non lin´ eaires,.

Carleman Linearization of Partial Differential Equations Application de la th´ eorie des ´ equations int´ egrale s lin´ eaires aux syst` emes d’´ equations diﬀ´ erentielles non lin´ eaires,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.104375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20685724-60dd-4cee-822c-0ca21cc29204 · outbound

This paper cites Minisini, A.

Carleman Linearization of Partial Differential Equations Minisini, A

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-12T20:37:55.516748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b4c3748e-0f95-478b-9140-8b31eaa703ba · outbound

This paper cites Explicit Error Bounds for Carleman Linearization.

Carleman Linearization of Partial Differential Equations Explicit Error Bounds for Carleman Linearization

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.113970Z

Source-reported events for the cited work

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Observation 13ea870c-134d-4bb0-9a77-9d9caca11a08 · outbound

This paper cites Carleman linearization of nonlinear systems and its ﬁnite-section approximations,.

Carleman Linearization of Partial Differential Equations Carleman linearization of nonlinear systems and its ﬁnite-section approximations,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.118775Z

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Observation bd4fa049-0952-43ce-a2bb-39ee659b3cd8 · outbound

This paper cites Solving nonlinear aeronautical problems using the Carleman linearization method,.

Carleman Linearization of Partial Differential Equations Solving nonlinear aeronautical problems using the Carleman linearization method,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:37:55.596949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f77fd82f-f8af-4e3d-851b-3a530da38742 · outbound

This paper cites Eﬃcient quantum algorithm for dissipative nonlinear diﬀerential equ ations,.

Carleman Linearization of Partial Differential Equations Eﬃcient quantum algorithm for dissipative nonlinear diﬀerential equ ations,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.127840Z

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Observation 629735c6-3edb-4d91-bc78-43da9b96331c · outbound

This paper cites E ﬃcient quantum algorithm for nonlinear reaction–diﬀusion equations and energy estimation,.

Carleman Linearization of Partial Differential Equations E ﬃcient quantum algorithm for nonlinear reaction–diﬀusion equations and energy estimation,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.132260Z

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Observation 65c28f94-b38c-4abe-8be2-c7dedeb0e9e8 · outbound

This paper cites An efficient quantum algorithm for simulating polynomial differential equations.

Carleman Linearization of Partial Differential Equations An efficient quantum algorithm for simulating polynomial differential equations

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.136693Z

Source-reported events for the cited work

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Observation faab0d12-8630-4d7d-9e2d-ef63c2717461 · outbound

This paper cites Improved quantum algorithms for linear and nonlinear diﬀerential equations,.

Carleman Linearization of Partial Differential Equations Improved quantum algorithms for linear and nonlinear diﬀerential equations,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.141624Z

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Observation e28da897-be09-4b00-a6f4-65f7e92c3e2a · outbound

This paper cites Kowalski and W.-H.

Carleman Linearization of Partial Differential Equations Kowalski and W.-H

Reference 17

Resolution: malformed identifier; no resolver link, observed 2026-08-12T20:37:55.146154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 260702ec-4c52-423c-8ab7-500e1a41277d · outbound

This paper cites Inﬁnite-dimensional Carleman linearization, the L ie series and optimal control of non-linear partial diﬀerential equations,.

Carleman Linearization of Partial Differential Equations Inﬁnite-dimensional Carleman linearization, the L ie series and optimal control of non-linear partial diﬀerential equations,

Reference 18

Resolution: verified exact; doi, observed 2026-08-12T20:37:55.275667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 76c26423-dbc7-484a-93f5-fad79e20eb44 · outbound

This paper cites Global exact quadratization of continuous- time nonlinear control sys- tems,.

Carleman Linearization of Partial Differential Equations Global exact quadratization of continuous- time nonlinear control sys- tems,

Reference 19

Resolution: verified exact; doi, observed 2026-08-12T20:37:55.259697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9f29313a-de1f-4c84-89d2-d6166776d26a · outbound

This paper cites Exact and optimal quadratization of nonlinear finite-dimensional non-autonomous dynamical systems.

Carleman Linearization of Partial Differential Equations Exact and optimal quadratization of nonlinear finite-dimensional non-autonomous dynamical systems

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-12T20:37:55.244000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 81fee415-4fa6-4c7a-bff5-7cf45175c80b · outbound

This paper cites Optimal monomial quadratization for ODE systems.

Carleman Linearization of Partial Differential Equations Optimal monomial quadratization for ODE systems

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-12T20:37:55.221305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a71c26c6-329e-4e28-b3c9-e6b246f9a967 · outbound

This paper cites Dissipative quadratizations of polynomia l ODE systems.

Carleman Linearization of Partial Differential Equations Dissipative quadratizations of polynomia l ODE systems

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.167994Z

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Pith citing papers

Observation 0aa086ba-bed1-4071-a1a7-1206ac2fa399 · inbound

Solving the Nonlinear Vlasov Equation on a Quantum Computer cites this paper.

Solving the Nonlinear Vlasov Equation on a Quantum Computer Carleman Linearization of Partial Differential Equations

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-12T10:25:15.472173Z

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Observation 2b6a4611-1dc7-40f5-918e-50177fdabe97 · inbound

Solving Einstein Field Equations on a Digital Quantum Computer cites this paper.

Solving Einstein Field Equations on a Digital Quantum Computer Carleman Linearization of Partial Differential Equations

Reference 43

Resolution: verified exact; arxiv_id, observed 2026-07-04T05:29:36.239246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.