Paper Citation Record · LEDGER

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes

As of 7 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2506.06533.

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

pith.paper-citation-record.v1
2506.06533 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:02:33.804014Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

17 of 17 outbound references displayed

verified exact3
verified fuzzy12
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9408a442-0760-4e72-99aa-9c43b14a22f5 · outbound

This paper cites an unresolved cited work.

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T06:02:34.319935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ad001dcd-3c8b-462a-91ad-70872a0fdb7a · outbound

This paper cites Journal o f the Physi- cal Society of Japan 22(2), 431–436 (1967) https://doi.org/10.1143/JPSJ.22.431 https://doi.org/10.1143/JPSJ.22.431.

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes Journal o f the Physi- cal Society of Japan 22(2), 431–436 (1967) https://doi.org/10.1143/JPSJ.22.431 https://doi.org/10.1143/JPSJ.22.431

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T06:02:33.740870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8821c811-b0fa-4352-b490-b25e4f2f1435 · outbound

This paper cites arXiv preprint arXiv:1508.0 3229 (2015).

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes arXiv preprint arXiv:1508.0 3229 (2015)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:34.306932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 31478a54-d1bf-487d-acfa-87c8e50c6720 · outbound

This paper cites SIAM Journal on Numerical Analysis 20(1), 1–22 (1983).

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes SIAM Journal on Numerical Analysis 20(1), 1–22 (1983)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:34.293546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c384780d-8c4d-49c7-935e-7460c449dffc · outbound

This paper cites Mathematics of computation 66(220), 1461–1486 (1997).

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes Mathematics of computation 66(220), 1461–1486 (1997)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:34.280145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 08984061-30e8-4c2a-9580-f4b66b1416c5 · outbound

This paper cites F oundations of Computational Mathematics, 1–33 (2019).

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes F oundations of Computational Mathematics, 1–33 (2019)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:34.266318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dce1ce42-16f5-4b43-a98d-8fd5af81393b · outbound

This paper cites BIT Numerical Mathematics, 1–18 (2019).

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes BIT Numerical Mathematics, 1–18 (2019)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:34.252558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1e45985d-1d09-4e20-b280-78ae1b9594de · outbound

This paper cites BIT Numerical Mathematics 62(4), 1823–1840 (2022) 15.

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes BIT Numerical Mathematics 62(4), 1823–1840 (2022) 15

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:34.238447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1e7c3699-c018-4178-b6a0-de2e7def7d86 · outbound

This paper cites Oberwolfach Reports 3(1), 805–882 (2006).

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes Oberwolfach Reports 3(1), 805–882 (2006)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:34.224806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6fe8ad1d-a259-4592-968a-86083cf1264e · outbound

This paper cites Journal of Computational Phys ics 473, 111772 (2023).

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes Journal of Computational Phys ics 473, 111772 (2023)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:34.209376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7a41e69a-bad1-43ef-a227-12a2593c38e4 · outbound

This paper cites Physica D: Nonline ar Phenomena 240(21), 1724–1760 (2011).

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes Physica D: Nonline ar Phenomena 240(21), 1724–1760 (2011)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:34.178778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c14e3d4c-f2f1-4759-9e53-962f8b112ba6 · outbound

This paper cites arXiv preprint arXiv:2411.12634 (2024).

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes arXiv preprint arXiv:2411.12634 (2024)

Reference 12

Resolution: verified exact; raw_fallback, observed 2026-08-07T06:02:33.971323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 892823af-35d1-43a9-8619-4b9b878c8972 · outbound

This paper cites Vietnam Journal of Mathematics 51(1), 113–126 (2023).

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes Vietnam Journal of Mathematics 51(1), 113–126 (2023)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:34.128837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7b077aa5-825b-4511-8bc7-1f9f68f89945 · outbound

This paper cites Journal of A pplied Analysis and Computation 5(1), 159–167 (2015).

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes Journal of A pplied Analysis and Computation 5(1), 159–167 (2015)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:34.096198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1e14b78b-5f8a-43a6-8466-bf5083bfd1f1 · outbound

This paper cites Physica D: Nonlinear Phenomena 49(3), 353–362 (1991) https://doi.org/10.1016/0167-2789(91)90152-Y.

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes Physica D: Nonlinear Phenomena 49(3), 353–362 (1991) https://doi.org/10.1016/0167-2789(91)90152-Y

Reference 15

Resolution: verified exact; doi, observed 2026-08-07T06:02:33.855652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 46e94a58-293a-4f14-b2e1-6fd166bea6c3 · outbound

This paper cites Communications in Mathematical Physics 195(1), 67–77 (1998) https://doi.org/10.1007/s002200050379.

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes Communications in Mathematical Physics 195(1), 67–77 (1998) https://doi.org/10.1007/s002200050379

Reference 16

Resolution: verified exact; doi, observed 2026-08-07T06:02:33.838792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 77fd1fca-7491-4824-8bb9-8e87679405ac · outbound

This paper cites Journal of Advances in Modeling Earth Systems 16(6), 2023–003901 (2024) 16.

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes Journal of Advances in Modeling Earth Systems 16(6), 2023–003901 (2024) 16

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T06:02:34.052555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.