Paper Citation Record · LEDGER

Hamiltonian preserving nonlinear optics

As of 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.03520.

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

pith.paper-citation-record.v1
1908.03520 v4

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:27:30.880600Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

43 of 43 outbound references displayed

verified exact2
verified fuzzy35
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 22aeb031-30f1-422b-81ee-f4ceb8ca4dca · outbound

This paper cites an unresolved cited work.

Hamiltonian preserving nonlinear optics Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:27:31.409743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d7c2f30f-f110-41f0-943c-5d62a75bed5d · outbound

This paper cites an unresolved cited work.

Hamiltonian preserving nonlinear optics Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:27:31.397567Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 880f31bc-5311-4059-b761-304c99792722 · outbound

This paper cites Chromatic and Space Charge Ef- fects in Nonlinear Integrable Optics,.

Hamiltonian preserving nonlinear optics Chromatic and Space Charge Ef- fects in Nonlinear Integrable Optics,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.334627Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 700385af-99c0-49bd-a70e-f95eda17129a · outbound

This paper cites Beam Physics of Inte- grable Optics Test Accelerator at Fermilab,.

Hamiltonian preserving nonlinear optics Beam Physics of Inte- grable Optics Test Accelerator at Fermilab,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.322421Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8d7bfbae-6866-4592-8344-6e1bee301161 · outbound

This paper cites According to the prescription of Ref.[2, 6], the octupole strength now should be scaled with the β-function ac- 9 �� Figure 8.

Hamiltonian preserving nonlinear optics According to the prescription of Ref.[2, 6], the octupole strength now should be scaled with the β-function ac- 9 �� Figure 8

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.385412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 42438a34-5a9e-4cdf-a038-40643ae9f5ec · outbound

This paper cites The linear part of the lattice consists of the so called T-insert introduced in [2], and a drift of length L.

Hamiltonian preserving nonlinear optics The linear part of the lattice consists of the so called T-insert introduced in [2], and a drift of length L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.423381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6ed5c659-8f9e-4786-bf73-2861bc426a1a · outbound

This paper cites We observe, that as before lat- tice indeed conserves given Hamiltonian as prescribed.

Hamiltonian preserving nonlinear optics We observe, that as before lat- tice indeed conserves given Hamiltonian as prescribed

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.372452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3bc82a3c-bbc8-4450-9681-168db712e227 · outbound

This paper cites Practical solutions for nonlinear accelerator lattice with stable nearly regular motion,.

Hamiltonian preserving nonlinear optics Practical solutions for nonlinear accelerator lattice with stable nearly regular motion,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.360007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 778ee921-0cfd-4ef9-b6c9-156dfb256a87 · outbound

This paper cites Nonlinear accelerator lat- tices with one and two analytic invariants,.

Hamiltonian preserving nonlinear optics Nonlinear accelerator lat- tices with one and two analytic invariants,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.347749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 07a1e0ff-0416-436f-bad3-b2f7d06699c8 · outbound

This paper cites A normal form approach to the theory of nonlinear beta- tronic motion,.

Hamiltonian preserving nonlinear optics A normal form approach to the theory of nonlinear beta- tronic motion,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.259750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4447cb97-c45a-4d8b-bc66-69e3e52e44ac · outbound

This paper cites IOTA (integrable optics test accelerator): facility and experimental beam physics program,.

Hamiltonian preserving nonlinear optics IOTA (integrable optics test accelerator): facility and experimental beam physics program,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.309666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 661baa67-f380-4571-bda9-4be0ff383108 · outbound

This paper cites Single- particle dynamics in a nonlinear accelerator lattice: at- taining a large tune spread with octupoles in IOTA,.

Hamiltonian preserving nonlinear optics Single- particle dynamics in a nonlinear accelerator lattice: at- taining a large tune spread with octupoles in IOTA,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.296326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c27b7609-16ba-4fce-b227-bfe5177cbf00 · outbound

This paper cites Single-invariant nonlinear optics for a small electron recirculator,.

Hamiltonian preserving nonlinear optics Single-invariant nonlinear optics for a small electron recirculator,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.283886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 70562502-e599-4879-b675-addead1400fe · outbound

This paper cites Complex Representation of Potentials and Fields for the Nonlinear Magnetic Insert of the Integrable Optics Test Accelerator.

Hamiltonian preserving nonlinear optics Complex Representation of Potentials and Fields for the Nonlinear Magnetic Insert of the Integrable Optics Test Accelerator

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:27:30.933053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2a391cf5-acbc-4158-b1d7-8c9ad77a435d · outbound

This paper cites Normal forms for hamiltonian maps and nonlinear ef- fects in particle accelerators,.

Hamiltonian preserving nonlinear optics Normal forms for hamiltonian maps and nonlinear ef- fects in particle accelerators,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.271289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0e022cc6-9af2-4892-9a80-ec9e22d908ed · outbound

This paper cites Hairer, C.

Hamiltonian preserving nonlinear optics Hairer, C

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.184462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 33f21754-6941-4517-8608-acc493545f60 · outbound

This paper cites Turchetti and F.

Hamiltonian preserving nonlinear optics Turchetti and F

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.247669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b2a08b46-1f80-4310-a8ce-d9aa3fe51d8d · outbound

This paper cites an unresolved cited work.

Hamiltonian preserving nonlinear optics Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:27:31.233991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 706f3e8d-34d2-409c-be6b-0cbdd8974145 · outbound

This paper cites Forest, Beam Dynamics: A New Attitude and Frame- work, vol.

Hamiltonian preserving nonlinear optics Forest, Beam Dynamics: A New Attitude and Frame- work, vol

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.221255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 715e6164-addb-478d-8874-8fb3954cecc1 · outbound

This paper cites High-order control for symplectic maps,.

Hamiltonian preserving nonlinear optics High-order control for symplectic maps,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.208503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 08603819-8715-46e2-9877-c761e3d2133e · outbound

This paper cites Method for enlarging the dy- namic aperture of accelerator lattices,.

Hamiltonian preserving nonlinear optics Method for enlarging the dy- namic aperture of accelerator lattices,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.196808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d5f65a6c-ca32-4c06-8554-29b2dbd8b69c · outbound

This paper cites Some application of splitting-up meth- ods to the solution of mathematical physics problems,.

Hamiltonian preserving nonlinear optics Some application of splitting-up meth- ods to the solution of mathematical physics problems,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.110356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 532374f6-3b33-43af-a8e0-1e96c17791e7 · outbound

This paper cites an unresolved cited work.

Hamiltonian preserving nonlinear optics Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:27:31.173269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2fae02ff-aba0-4a2c-8f5e-2b2a4297129f · outbound

This paper cites Arnold, Geometrical Methods in the Theory of Ordi- nary Diﬀerential Equations.

Hamiltonian preserving nonlinear optics Arnold, Geometrical Methods in the Theory of Ordi- nary Diﬀerential Equations

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.161875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6ae05819-0040-4e0f-b60f-088e789f9d19 · outbound

This paper cites Die symbolische Exponentialformel in der Gruppentheorie,.

Hamiltonian preserving nonlinear optics Die symbolische Exponentialformel in der Gruppentheorie,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.149678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a013816c-d7fe-490a-abce-a4538af7cc39 · outbound

This paper cites Tabor, Chaos and integrability in nonlinear dynamics : an introduction.

Hamiltonian preserving nonlinear optics Tabor, Chaos and integrability in nonlinear dynamics : an introduction

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.136428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0bc93ed8-13e3-4f66-a35b-67edcbe28598 · outbound

This paper cites On the construction and comparison of dif- ference schemes,.

Hamiltonian preserving nonlinear optics On the construction and comparison of dif- ference schemes,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.123695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2c1ab107-f21f-42f2-846a-73f2bf57bb53 · outbound

This paper cites an unresolved cited work.

Hamiltonian preserving nonlinear optics Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:27:31.435511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c4917150-4805-4b29-be4c-1e1a6d3f7304 · outbound

This paper cites A canonical integration technique,.

Hamiltonian preserving nonlinear optics A canonical integration technique,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.098657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 21d96cfb-42b2-46c0-b8c8-3b888b53d085 · outbound

This paper cites Canonical integrators as tracking codes (or how to integrate perturbation theory with tracking),.

Hamiltonian preserving nonlinear optics Canonical integrators as tracking codes (or how to integrate perturbation theory with tracking),

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.087016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 77555fd8-8121-452e-8812-917cca65e255 · outbound

This paper cites Fractal decomposition of exponential opera- tors with applications to many-body theories and monte carlo simulations,.

Hamiltonian preserving nonlinear optics Fractal decomposition of exponential opera- tors with applications to many-body theories and monte carlo simulations,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.075596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b453d224-999d-4ab4-8f56-228357c2d0d5 · outbound

This paper cites Construction of higher order symplectic in- tegrators,.

Hamiltonian preserving nonlinear optics Construction of higher order symplectic in- tegrators,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.064475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 89d2e480-ebe6-4aad-b190-510b569754ef · outbound

This paper cites Numerical discretization of completely integrable nonlinear hamiltonian systems,.

Hamiltonian preserving nonlinear optics Numerical discretization of completely integrable nonlinear hamiltonian systems,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.053184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a177fc86-fa4f-4a97-a848-a9d6fcf871de · outbound

This paper cites an unresolved cited work.

Hamiltonian preserving nonlinear optics Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:27:31.041688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d3a4832e-5031-4437-9a62-bc95628f7e71 · outbound

This paper cites On the hamiltonian in- terpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms,.

Hamiltonian preserving nonlinear optics On the hamiltonian in- terpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.029459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f3d83e63-2bde-41ec-b359-672551bc4c7a · outbound

This paper cites H´ enon-Heiles Sin- gle Particle Dynamics at IOTA,.

Hamiltonian preserving nonlinear optics H´ enon-Heiles Sin- gle Particle Dynamics at IOTA,

Reference 36

Resolution: verified exact; doi, observed 2026-08-14T14:27:30.915553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0dab5635-fdc8-4a33-9108-7cd2cb05a86f · outbound

This paper cites The applicability of the third integral of motion: Some numerical experiments,.

Hamiltonian preserving nonlinear optics The applicability of the third integral of motion: Some numerical experiments,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.017514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f0d1e2f7-4058-400f-a2ec-f98f869700be · outbound

This paper cites Experimental Demonstration of the Henon-Heiles Quasi-Integrable System at IOTA,.

Hamiltonian preserving nonlinear optics Experimental Demonstration of the Henon-Heiles Quasi-Integrable System at IOTA,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:31.005545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a1b4a80c-97bf-4462-96a0-4a5b47bcb0b5 · outbound

This paper cites Synchrotron Ra- diation Beam Diagnostics for the Integrable Optics Test Accelerator,.

Hamiltonian preserving nonlinear optics Synchrotron Ra- diation Beam Diagnostics for the Integrable Optics Test Accelerator,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:30.993020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 63ae6bc5-c11b-4fbe-aa5a-c5cb1b103f27 · outbound

This paper cites OptiMX: Accelerator Optics Design Software.

Hamiltonian preserving nonlinear optics OptiMX: Accelerator Optics Design Software

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:30.980940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5d24b74e-afcc-4fc4-a3be-1081cd7cff14 · outbound

This paper cites Landau damping of beam instabilities by electron lenses,.

Hamiltonian preserving nonlinear optics Landau damping of beam instabilities by electron lenses,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:30.968530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 589805b5-843f-4140-92ad-ed99c77ce816 · outbound

This paper cites Tevatron electron lenses: Design and operation,.

Hamiltonian preserving nonlinear optics Tevatron electron lenses: Design and operation,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:30.956909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e4580ff7-7dcb-4e1b-ba56-1a787ae0ae24 · outbound

This paper cites MADX: Methodical Accelerator Design Software.

Hamiltonian preserving nonlinear optics MADX: Methodical Accelerator Design Software

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:27:30.945375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.