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Paper Citation Record · LEDGER

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems

As of 22 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2504.12567.

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

pith.paper-citation-record.v1
2504.12567 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:37:37.927673Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-03T05:37:54.233696Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T05:47:40.891715Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact5
  • verified fuzzy1
  • unresolved11
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 30dbf8bc-8da3-4a67-bcfa-8208411fd020 · outbound

This paper cites Anto˜ nana, E.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Anto˜ nana, E

Reference 1

Resolution
verified exact
doi, observed 2026-08-16T12:37:38.030042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:37:37.861466Z digest=sha256:65efab69166e6cf0987f93b7c1c4a280cda6e8415408b0220857366f086d287b

Observation f636508d-7e56-44ca-9d3e-4792d7096be1 · outbound

This paper cites Feng, and M.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Feng, and M

Reference 3

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source=pdf_text observed=2026-08-16T12:37:37.881042Z digest=sha256:90d124ba3ac1564d2ce9ec0c7173d273ed8de83d8038aa19fa78af2a49a23ba5

Observation 0054b4de-340a-444e-b1ed-868c48c3c517 · outbound

This paper cites Jayawardana and T.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Jayawardana and T

Reference 7

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verified exact
doi, observed 2026-08-16T12:37:37.980367Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:37:37.889732Z digest=sha256:9fdce726ba556b921066025cc5f0a5f0774939882125d27e793a586ecae12bf7

Observation 1c4ba567-cdbb-48aa-9ced-5d5ae6affcd6 · outbound

This paper cites Yoshida, Construction of higher order symplectic integrators, Phys.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Yoshida, Construction of higher order symplectic integrators, Phys

Reference 17

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:37:37.927673Z digest=sha256:aa2a305bb3ef153123ffe43143e211d4f8c5a1b439290ba40edd99a897938e98

Observation 2210e0dd-7a0d-4ec7-8490-fadafc9d56a3 · outbound

This paper cites Benettin and A.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Benettin and A

Reference 52

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source=pdf_text observed=2026-08-16T12:37:37.871458Z digest=sha256:73befea059bfc92f5f0beae2c8347d981b1616ba8b0a08a6daaf8d5065e2d762

Observation 80cc831e-7044-48db-925a-26f4a571b521 · outbound

This paper cites an unresolved cited work.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Unresolved cited work

Reference 143

Resolution
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source=pdf_text observed=2026-08-16T12:37:37.907846Z digest=sha256:a04e5b26c55e1cfbb78495d0d7443ad3d298b8d6eef7634144d8a618ff574e5d

Observation 5a556b4d-391d-40b4-9b64-b35b44291f85 · outbound

This paper cites Methods of inte- gration which preserve the contact transformation property of the Hamilton equations.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Methods of inte- gration which preserve the contact transformation property of the Hamilton equations

Reference 214

Resolution
unresolved
no resolver link, observed 2026-08-16T12:37:37.915325Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:37:37.915325Z digest=sha256:9d1ea49913685b369e97f3344885eaf7d100de852352aaa3d014f080fb52af54

Observation 2bfd2355-8cfe-44a0-8bea-59d25d12e2a4 · outbound

This paper cites an unresolved cited work.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Unresolved cited work

Reference 240

Resolution
unresolved
no resolver link, observed 2026-08-16T12:37:37.893578Z

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source=pdf_text observed=2026-08-16T12:37:37.893578Z digest=sha256:f0b1b79167940bd979cf8a96518cdf35c8ff03a732ebc18e7315f220cc6fe13c

Observation 02726a40-bc51-4cd9-b850-1d228c8fa03b · outbound

This paper cites Farr´ es, J.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Farr´ es, J

Reference 1956

Resolution
verified exact
doi, observed 2026-08-16T12:37:38.011391Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:37:37.876458Z digest=sha256:9a1f0bf77134ab88d3ef5836d23b3862035690ffde80b072b55557572595f2b9

Observation e5eeada5-849e-4aca-968c-e82ab5ab6ea5 · outbound

This paper cites an unresolved cited work.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Unresolved cited work

Reference 1987

Resolution
verified exact
raw_fallback, observed 2026-08-16T12:37:38.236521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:37:37.900903Z digest=sha256:a016c742c54f20c3b386dcdcd049f986cfb7ec1e95015c292708a9e63de450d1

Observation 7fc1cedc-0cac-48b4-9b85-7a09863f1342 · outbound

This paper cites Aubry and P.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Aubry and P

Reference 1989

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no resolver link, observed 2026-08-16T12:37:37.867437Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:37:37.867437Z digest=sha256:081ec7ebde11640aa9e2f04baa53365fde38b3afebfa070a9f0a21ee167f71cd

Observation be0e3262-0ed4-44dd-aa68-8768eb7b4bb6 · outbound

This paper cites Schr¨ odinger, Scripta Mathematica10 (1944), pp.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Schr¨ odinger, Scripta Mathematica10 (1944), pp

Reference 1994

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:37:38.355087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:37:37.911829Z digest=sha256:fec671ed8e7704fc2087249725593e23466eebc3d1f395978e3307c168bd752c

Observation 22772276-eed8-4d03-af76-c405f7821013 · outbound

This paper cites Qin and M.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Qin and M

Reference 2011

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:37:37.904576Z digest=sha256:bfc0f9bb11958409e91c14dd1f467d708406f0ae41785081799ad361d17c68e5

Observation ee590819-1c8d-45ee-84e0-b0e19b000d0e · outbound

This paper cites Leimkuhler and S.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Leimkuhler and S

Reference 2013

Resolution
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source=pdf_text observed=2026-08-16T12:37:37.897326Z digest=sha256:b138d8cce5429ee45422a5069ee7f0780152bce6ef665e83040cfd227e6f3538

Observation 1f0a9b02-dc9c-4a47-b002-2e876acb7ef0 · outbound

This paper cites Ge and J.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Ge and J

Reference 2018

Resolution
verified exact
doi, observed 2026-08-16T12:37:37.992823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T12:37:37.885536Z digest=sha256:e633659854e613cfa478ec366e3f53fb4bb02d5b8c7492a7be2abd4bc84cdd02

Observation 1099a08c-f67c-4c33-bc27-c98e7c2728e1 · outbound

This paper cites Eight-stage pseudo-symplectic Runge-Kutta methods of order (4, 8).

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Eight-stage pseudo-symplectic Runge-Kutta methods of order (4, 8)

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-16T12:37:37.918909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:37:37.918909Z digest=sha256:8231fdd3765448d7193c1cf6b933a22a483ca4a7c5f2ff9a1b05526bab7e9c0c

Observation dd48aad1-4415-4c2c-a433-c66d2035a3eb · outbound

This paper cites Nonseparable Symplectic Neural Networks.

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems Nonseparable Symplectic Neural Networks

Reference 2023

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source=pdf_text observed=2026-08-16T12:37:37.923688Z digest=sha256:afa00d5e6c1a155a60b4af5f09f7f74d275a613a19e846dd661f88e2b210e990

Pith citing papers

Observation a7feb432-e80f-446a-b592-a536a41e2f06 · inbound

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems cites this paper.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-07-03T05:47:40.893280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-03T05:37:54.233696Z digest=sha256:334fde36a13a722be7912ab754d3f2a720c26b4a2e33bac3328dff6252df7755