Paper Citation Record · LEDGER

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems

As of 15 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2607.01596.

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

pith.paper-citation-record.v1
2607.01596 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

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

measured 43 of 43 standing notices

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

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Source: cited_works

Reference resolution

43 of 43 outbound references displayed

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verified fuzzy30
unresolved12
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External citation measurements

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Outbound references

Observation 2882f95f-ce73-4846-a9bc-11c5ae2d4344 · outbound

This paper cites Damour, P.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Damour, P

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.722359Z

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.

Observation d357c235-a221-4b68-ae02-29c129165ca7 · outbound

This paper cites de Andrade, L.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems de Andrade, L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.814380Z

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.

Observation a2abcba2-05a4-4498-bca5-97b387deab8b · outbound

This paper cites Levi and J.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Levi and J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.771888Z

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.

Observation cfb43ec2-9097-47c7-9598-cd829b7e6ff6 · outbound

This paper cites an unresolved cited work.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-07-05T13:41:11.784821Z

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.

Observation 81acf48d-f666-41a3-a809-81b9d9586de8 · outbound

This paper cites Huang, X.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Huang, X

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.729304Z

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.

Observation 44cba283-f1b9-4081-b246-41604b431f94 · outbound

This paper cites Dubeibe, F.D.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Dubeibe, F.D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.741021Z

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.

Observation 5bef5d44-7e77-4392-bb72-21811e63dbff · outbound

This paper cites Huang, L.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Huang, L

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.787585Z

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.

Observation a6c58cdb-fa55-47fc-8892-32a6225e4f2e · outbound

This paper cites an unresolved cited work.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-07-05T13:41:11.793458Z

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.

Observation 77e63e4f-5bbb-460d-a9f6-a1fe8d60a1a3 · outbound

This paper cites Gauckler, E.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Gauckler, E

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.748830Z

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.

Observation cc05f6ec-1e40-496c-8dc7-4a5031cfc595 · outbound

This paper cites Hairer, C.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Hairer, C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.758261Z

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.

Observation 44c93f18-5672-4af0-b09c-fd2a51018e70 · outbound

This paper cites Lasagni,Canonical Runge-Kutta methods,Z.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Lasagni,Canonical Runge-Kutta methods,Z

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.779602Z

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.

Observation 156b30c8-2fa2-423c-88cb-1be52d076af8 · outbound

This paper cites Sanz-Serna,Runge-Kutta schemes for Hamiltonian systems,BIT Numer.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Sanz-Serna,Runge-Kutta schemes for Hamiltonian systems,BIT Numer

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.782240Z

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.

Observation dd1743d1-1a1b-4bea-9b8e-068680f6300f · outbound

This paper cites an unresolved cited work.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-07-05T13:41:11.736944Z

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

Observation 48c5deda-18ef-4187-bc13-0eaefc8f6150 · outbound

This paper cites Lubich, B.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Lubich, B

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.764125Z

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.

Observation 138ecc74-17a6-41a3-a987-847b7eb0582e · outbound

This paper cites Zhong, X.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Zhong, X

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.804244Z

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.

Observation 98a8826a-35ca-447e-a158-8c4a3a0e1bb1 · outbound

This paper cites an unresolved cited work.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-07-05T13:41:11.774075Z

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.

Observation 8df76af3-b484-4851-a975-bfa0108817f1 · outbound

This paper cites Antoñana, E.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Antoñana, E

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.801405Z

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.

Observation d6903481-d568-4e15-af53-01cdc0e2c193 · outbound

This paper cites Huang, K.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Huang, K

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.820259Z

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.

Observation b43347f8-2bce-40ec-8013-e7fa7a4eda72 · outbound

This paper cites Jayawardana, T.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Jayawardana, T

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.744882Z

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.

Observation 5db15731-65d5-494c-83bd-a481a978ca86 · outbound

This paper cites Ohsawa,Preservation of quadratic invariants by semiexplicit symplectic integrators for nonseparable Hamiltonian systems,SIAM J.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Ohsawa,Preservation of quadratic invariants by semiexplicit symplectic integrators for nonseparable Hamiltonian systems,SIAM J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.733551Z

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.

Observation bba1ad85-ffdb-4854-8ea2-7d05f701a962 · outbound

This paper cites McLachlan, P.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems McLachlan, P

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.808722Z

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.

Observation bb73bef4-1b8a-40ff-850e-bb5cdeb951db · outbound

This paper cites McLachlan, C.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems McLachlan, C

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.752112Z

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.

Observation 54f12d7d-b8ad-4222-a7a9-a91a587247ec · outbound

This paper cites Yoshida,Recent progress in the theory and application of symplectic integrators,Celest.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Yoshida,Recent progress in the theory and application of symplectic integrators,Celest

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.767166Z

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.

Observation 98fb8c07-56bb-4494-ac31-cd4597ff8ce0 · outbound

This paper cites Chin,Explicit symplectic integrators for solving nonseparable Hamiltonians,Phys.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Chin,Explicit symplectic integrators for solving nonseparable Hamiltonians,Phys

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.799104Z

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.

Observation dd1cf926-a19f-492a-94a7-b056ed43648a · outbound

This paper cites Blanes,Symplectic maps for approximating polynomial Hamiltonian systems,Phys.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Blanes,Symplectic maps for approximating polynomial Hamiltonian systems,Phys

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.790742Z

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.

Observation b6b0f3f0-7879-48d5-9e2b-9e0d0cf6ec75 · outbound

This paper cites McLachlan, G.R.W.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems McLachlan, G.R.W

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.769439Z

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.

Observation 862dc7f2-07a2-42f5-a268-ad2c5c6c9bba · outbound

This paper cites Tao,Explicit high-order symplectic integrators for charged particles in general electromagnetic fields,J.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Tao,Explicit high-order symplectic integrators for charged particles in general electromagnetic fields,J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.817233Z

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.

Observation 1274d7a9-d223-4237-9d1d-df2674d46ed7 · outbound

This paper cites an unresolved cited work.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-07-05T13:41:11.754828Z

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.

Observation b2c85203-f15f-48da-8bc8-7cb1e9578a44 · outbound

This paper cites an unresolved cited work.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-07-05T13:41:11.806507Z

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.

Observation d75f74f1-cfac-4670-b2e0-1b1f53778493 · outbound

This paper cites an unresolved cited work.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-07-05T13:41:11.760949Z

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.

Observation 94e63c49-b6be-44b0-a19f-2ca351644b89 · outbound

This paper cites an unresolved cited work.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-07-05T13:41:11.811225Z

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.

Observation 93727bc9-5d69-4b4f-bdb9-e03d485789ea · outbound

This paper cites an unresolved cited work.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-07-05T13:41:11.726415Z

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.

Observation a5f9a883-0cac-4307-8834-7f5b325c9fba · outbound

This paper cites Pihajoki,Explicit methods in extended phase space for inseparable Hamiltonian problems, Celest.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Pihajoki,Explicit methods in extended phase space for inseparable Hamiltonian problems, Celest

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.777269Z

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.

Observation 33b50cd4-c99e-4bb7-a5e7-2a7a7153727d · outbound

This paper cites an unresolved cited work.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-07-05T13:31:10.318767Z

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.

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

This paper cites The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems.

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 2026-08-14T06:32:32.682623+00:00.

Observation 189dddce-2343-4bce-9016-d5e182e72a6d · outbound

This paper cites an unresolved cited work.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-07-05T13:31:10.321028Z

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.

Observation 0d9eadc4-8991-4f1d-8b14-6bada3fe8371 · outbound

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

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Yoshida,Construction of higher order symplectic integrators,Phys

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:31:07.175991Z

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.

Observation 0c4b65de-9a6a-4c23-93ff-42d71ebe2004 · outbound

This paper cites Buonanno, Y.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Buonanno, Y

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:31:07.180840Z

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.

Observation bea79343-18e2-4cdb-91e8-b96ded154e3f · outbound

This paper cites Hartl, A.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Hartl, A

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:41:11.796546Z

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.

Observation bf8c3127-31a4-449a-86c8-af8bf7de996d · outbound

This paper cites Levin,Chaos and order in models of black hole pairs,Phys.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Levin,Chaos and order in models of black hole pairs,Phys

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:31:10.311533Z

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.

Observation e14f3b8c-9881-41e8-8f37-732b542d85d7 · outbound

This paper cites Nagar,Effective one-body Hamiltonian of two spinning black holes with next-to-next-to-leading order spin-orbit coupling,Phys.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Nagar,Effective one-body Hamiltonian of two spinning black holes with next-to-next-to-leading order spin-orbit coupling,Phys

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:31:10.314700Z

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.

Observation 44111ac4-f842-42ef-b669-2cba7b748f87 · outbound

This paper cites Huang, L.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Huang, L

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T13:31:10.316661Z

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.

Observation dcc223e2-e246-417d-acfb-dd504a540e0c · outbound

This paper cites an unresolved cited work.

Efficient high-order explicit symplectic splitting methods for post-Newtonian Hamiltonian systems Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-07-05T13:31:10.309141Z

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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