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Paper Citation Record · LEDGER

Explicit symplectic integrators with adaptive time steps in curved spacetimes

As of 15 August 2026, this Paper Citation Record lists 81 of 81 outbound references and 2 inbound Pith citation observations for arXiv:2412.01045.

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

pith.paper-citation-record.v1
2412.01045 v2

Coverage vector

measured 81 of 81 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:54:51.025631Z

measured 83 of 83 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:05:14.497091Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T06:02:32.877275Z

Reference resolution

81 of 81 outbound references displayed

  • verified exact0
  • verified fuzzy59
  • unresolved22
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 402fba10-2ac3-4057-886e-eb6ba0919112 · outbound

This paper cites Y., & Sironi, L.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Y., & Sironi, L

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-12T04:54:50.757530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e984db40-1835-4c8b-bf76-696de463b0b7 · outbound

This paper cites Y., & Sironi, L.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Y., & Sironi, L

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation 4f7cedc4-69f1-4fbe-b681-d8e2f7969ebb · outbound

This paper cites T., & Cunningham, J.

Explicit symplectic integrators with adaptive time steps in curved spacetimes T., & Cunningham, J

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 7f31e8eb-1ac3-4b93-a91c-f3028affa00a · outbound

This paper cites 2024, Appl.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2024, Appl

Reference 4

Resolution
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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-12T04:54:50.768702Z digest=sha256:c78cf1bf6512410b2843db1dd13f600f3b9cc7f92e6894402e456f4420016d54

Observation 8e7cac0c-5e80-4e96-a3b6-3cb6210dbf15 · outbound

This paper cites 2008, Bol.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2008, Bol

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation 1099a583-f03b-4eeb-acf8-8434ddd69edb · outbound

This paper cites 2010, Bol.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2010, Bol

Reference 6

Resolution
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Source-reported events for the cited work

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Observation 311f76a1-6be1-47b9-abaa-06b252feb474 · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 7

Resolution
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Source-reported events for the cited work

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Observation 2de6b4b7-f687-4683-9a2e-7fdf600a72d9 · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9da723e3-c8ed-4411-92e6-8feef9b48b88 · outbound

This paper cites 2024, Eur.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2024, Eur

Reference 9

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation db992d10-f2c2-4261-a73e-cfb556520a01 · outbound

This paper cites 2014, PhRvD, 89, 084038.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2014, PhRvD, 89, 084038

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation a5cd72c9-d8c5-4125-8004-03c08ea08c90 · outbound

This paper cites 2021, PhRvD, 103, 044020.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2021, PhRvD, 103, 044020

Reference 11

Resolution
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Source-reported events for the cited work

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Observation 55f32f53-a5eb-498e-b816-173dedb032bd · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 12

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Source-reported events for the cited work

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Observation 878e7352-ea53-4450-9e20-6a529611030d · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 13

Resolution
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Source-reported events for the cited work

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Observation bdbdac84-3048-49eb-8930-45e97f3cfefa · outbound

This paper cites R., & Shipley, J.

Explicit symplectic integrators with adaptive time steps in curved spacetimes R., & Shipley, J

Reference 14

Resolution
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Source-reported events for the cited work

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Observation 6b256a4d-8177-4bea-a76d-a399d9678e6e · outbound

This paper cites 2019, ApJL, 875, L1.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2019, ApJL, 875, L1

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation 1d4684c0-6743-4709-98f2-a7c11ae58674 · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 16

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Source-reported events for the cited work

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Observation 30033878-7436-46f1-a99b-d23184b9dd82 · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 17

Resolution
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Source-reported events for the cited work

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Observation 80dce091-8e07-4087-b32a-178e8535f11e · outbound

This paper cites 1986, JCM, 44, 279.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 1986, JCM, 44, 279

Reference 18

Resolution
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Source-reported events for the cited work

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Observation 9e8a870c-a688-4139-b89b-3600f5072349 · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 0065920c-4f39-4975-b4eb-0fe56606a497 · outbound

This paper cites 1995, PhRvL, 74, 1276.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 1995, PhRvL, 74, 1276

Reference 20

Resolution
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Source-reported events for the cited work

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Observation 716e00ab-7c76-402d-9152-2e50039d6d23 · outbound

This paper cites 2023, Symmetry, 15, 1848.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2023, Symmetry, 15, 1848

Reference 21

Resolution
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Source-reported events for the cited work

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Observation 6d2ffe4d-62e3-4597-915f-0468a2939dff · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 22

Resolution
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Source-reported events for the cited work

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Observation bb429497-a2f1-4783-b5cd-ef896f1565c9 · outbound

This paper cites 2022,Universe, 8, 369.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2022,Universe, 8, 369

Reference 23

Resolution
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Source-reported events for the cited work

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Observation 05014a19-952f-4edc-9100-2e46805d93d8 · outbound

This paper cites 2023,Symmetry, 15, 1094.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2023,Symmetry, 15, 1094

Reference 24

Resolution
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Source-reported events for the cited work

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Observation 0be38afe-c3e9-4297-961a-61bd5f86c04b · outbound

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Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 25

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Source-reported events for the cited work

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Observation fa0a2233-0977-4554-8864-ed78957e55f3 · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 26

Resolution
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Source-reported events for the cited work

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Observation cffab4f5-7710-4c11-b08f-275a2567b234 · outbound

This paper cites U., Kumar, J., Walia, R.

Explicit symplectic integrators with adaptive time steps in curved spacetimes U., Kumar, J., Walia, R

Reference 27

Resolution
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Source-reported events for the cited work

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Observation 299071cf-b9ec-4f45-8cf7-3d44edc28b27 · outbound

This paper cites 2023, Mathematics of Computation, 92, 251.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2023, Mathematics of Computation, 92, 251

Reference 28

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation fe75ce70-16ae-490e-a357-a09c438879f1 · outbound

This paper cites 2013, ApJ, 777, 170.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2013, ApJ, 777, 170

Reference 29

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 2d63e62e-5ba9-41ef-81eb-32cfaaf4e0b5 · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:54:51.550331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 8b1873fc-3541-4b6a-979a-6957cc22ba08 · outbound

This paper cites 1992, General Relativity and Gravitation, 24, 729.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 1992, General Relativity and Gravitation, 24, 729

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.538712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 6882e065-c1b1-4338-aa35-7296b3628db2 · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 32

Resolution
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Source-reported events for the cited work

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Observation e0051608-1782-4be1-bacc-9762211518af · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 33

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:54:50.864404Z digest=sha256:b89102cdc99d21efdf52693b1ed9deb5801ab073e7703e6161447191ee2b9f64

Observation 3e31c5f1-ee3e-4de3-8ed3-3ab821626575 · outbound

This paper cites 2018, ApJ, 853, 53.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2018, ApJ, 853, 53

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.508929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.867726Z digest=sha256:a1fca641269a08b980cc33a0d6df073fc430625be2d75e2bf6ad21d2088e8244

Observation d04fdb0b-982b-41a5-a32b-36ffd37efbd9 · outbound

This paper cites 2010, ApJ, 722, 1240.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2010, ApJ, 722, 1240

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.498244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation b4866011-31b0-4e2d-b714-3fe8e045302d · outbound

This paper cites 2021, PhRvD, 103, 024021.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2021, PhRvD, 103, 024021

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.487477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a77fe9d7-01bb-4498-9809-e7d8b2ce05b2 · outbound

This paper cites U., & Ghosh, S.

Explicit symplectic integrators with adaptive time steps in curved spacetimes U., & Ghosh, S

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.476734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.877343Z digest=sha256:260a1676518acf3fc65dd4af7fe0c23b1fc54bd46dc6e4d09af1efa24ce5ad8a

Observation 36fac519-2b26-4e88-8e24-c5c9985229ac · outbound

This paper cites 2019, European Physical Journal Plus, 134, 96.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2019, European Physical Journal Plus, 134, 96

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.466683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.880686Z digest=sha256:03bc285fa0626cf3f1cacc786822aba6f83353729cced583fda4613d929d01b1

Observation faa6e2f9-6663-4f95-a91f-5fee73f06a7e · outbound

This paper cites 2023, Universe, 9, 365.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2023, Universe, 9, 365

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.455303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.883888Z digest=sha256:7f90bdd8d171f616589998ea40ebb9097ed43bd8510448e32a0991a82a00147a

Observation e1b18a90-4180-4579-87ba-c3492ef6c6d3 · outbound

This paper cites 2024, Universe, 10, 277.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2024, Universe, 10, 277

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.445547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.886924Z digest=sha256:e9fe40595cdb0d44c1530c600cc52cd4be607769b02c78a4d6d0432435abc6fd

Observation 51175062-2216-4199-9607-91c4ee326362 · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:54:51.435449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.890215Z digest=sha256:eb7e35500a27587658594f250aaa44ddadc7850b481cb5dde5c334c49f44f638

Observation 443724d4-a006-4ff4-92cb-958ca5a81023 · outbound

This paper cites 1997, Celest.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 1997, Celest

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.425042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.894210Z digest=sha256:eb886405b41d773db31d3f97a3366bb53578206673cdef123293776af5c31399

Observation 5369f1f7-d9c1-4054-8332-7ecbbce8cf3d · outbound

This paper cites 1999, Celest.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 1999, Celest

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.413927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.897523Z digest=sha256:347927da4bfe9f7b4d4f40c1c9509be64e587eb904015c5d43afa5314e229e1f

Observation 68bd1754-54ee-4437-9028-1b0dfe50008b · outbound

This paper cites 2013, New Astronomy, 20, 38.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2013, New Astronomy, 20, 38

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.404927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.900725Z digest=sha256:5dafe7479c8bc21cd1c41e91b984769925775e9ebd281ec28467fa0e5b4ad020

Observation 12780427-69e6-4f6b-9c38-716849ab75a6 · outbound

This paper cites 2023, SIAM Journal on Numerical Analysis, 61 (3), 1293.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2023, SIAM Journal on Numerical Analysis, 61 (3), 1293

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.396164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.904086Z digest=sha256:8351b1c8d39a669f126b562b2e7cebf8cebc2f1071ebff26d0925ac9e2cd0eb9

Observation c4b9a1c2-2708-43e8-8b00-71807b5d540f · outbound

This paper cites 2019, Eur.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2019, Eur

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.386499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.907777Z digest=sha256:af2f20122afd97f6e4bef938fe641deb5c5a2f1a05eb4a9e3c1868d99d10ddc0

Observation 10665eda-f621-4e3f-8fda-949a14f8ba5d · outbound

This paper cites 2022, MNRAS, 515, 1316.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2022, MNRAS, 515, 1316

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.377701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.911104Z digest=sha256:de569e9ed90be10142ae33eb9957d62d00a4a32255e8401b32aa7488c1a923e0

Observation f7b1790d-f732-4b6e-91e8-eef5585554a5 · outbound

This paper cites 2015, Celestial Mech.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2015, Celestial Mech

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.366866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.914497Z digest=sha256:463d77dd5cb979101d12a296d3cf7c0d058344934c59e83b69b9e4fca76e49fa

Observation d2a9082d-65b5-4e42-9ea9-d6ee535c67bb · outbound

This paper cites 2009, ApJ, 703, 1743.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2009, ApJ, 703, 1743

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.357916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.917773Z digest=sha256:8b547b6ce77447bda70a7d57d4dfd03c011b388338880e6fb86d4aedc98e4537

Observation 6934b564-c920-4680-af78-47d14a421afd · outbound

This paper cites 1999, AJ, 118, 2532.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 1999, AJ, 118, 2532

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.348543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.921054Z digest=sha256:dfe042920e0ac221588846bd7d55f65c8c463a89c91b85ee95a55ce236035c02

Observation cdec864c-fc28-4dbd-bc9a-03305e48a99f · outbound

This paper cites 2016, ApJ, 820, 105.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2016, ApJ, 820, 105

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.339843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.925405Z digest=sha256:c62306f68ff1ba253d7b288a89cd6fcb126e1d8d4cbe3aaef46041f54e00f1b4

Observation 2f6c85b8-7654-4017-833a-35a8c278874b · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:54:51.330892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.928426Z digest=sha256:d52a581215714102a30159df962443af84ff01ad13c68dab4900d4d963b0499c

Observation 45d6b3d3-3cde-4649-8add-95b528663500 · outbound

This paper cites 2012, PhRvD, 86, 124013.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2012, PhRvD, 86, 124013

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.321135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.931724Z digest=sha256:35d9cdcfe9aac853f343113873d9347390feab22686355b84c84f29cfbcc9ced

Observation c425b90f-8434-4675-a2ed-31bcbb2901ab · outbound

This paper cites Kolo s , M.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Kolo s , M

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.311365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.934972Z digest=sha256:017204aa9dde1a99525a075cf3dd2c259b30797ec568f7838c8e5794ba9f77f4

Observation 65bdca36-db19-449d-9cca-662bca7e63ee · outbound

This paper cites 2021a, Eur.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2021a, Eur

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.301692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.937998Z digest=sha256:42489c9fe8c467ab87fc4fcb92b2fe96e238f379f5d2deeafc62931866ac6f88

Observation 5ee0a2b7-ada4-49f0-a2f4-390720f1694e · outbound

This paper cites 2021b, Universe, 7, 410.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2021b, Universe, 7, 410

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.292734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.941201Z digest=sha256:8f459957dbef0c54e6d16dad8e9ac1537841b8e72c66e1019ed4c849f27228b0

Observation 3ce8f13e-e9d4-428a-a157-f7e929d9e8fb · outbound

This paper cites 2009, ApJ, 693, 472.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2009, ApJ, 693, 472

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.283826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.944502Z digest=sha256:78af9db608378cbae727968ad0e654600ae1381f02c843017fa8be1630935575

Observation f1ba53a1-41ef-46da-bb33-770d8a0ff7a4 · outbound

This paper cites R., Stein, L.

Explicit symplectic integrators with adaptive time steps in curved spacetimes R., Stein, L

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.274626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.948541Z digest=sha256:76a3b52046e6434a3742d80ce8c23b004e49d977f74fee79c920383d3fadafa9

Observation 47c0a703-0263-4866-a3c1-a6e446946df1 · outbound

This paper cites 2016, PhRvD, 93, 084012.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2016, PhRvD, 93, 084012

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.265517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.951701Z digest=sha256:793082fee318d4e38dfb61d8d44bc56f55b21f5437419960b3352e52b7b09d70

Observation 54c2ca9a-1ef7-4a3d-939b-77d1320cff5f · outbound

This paper cites 2020, ApJ, 895, 14.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2020, ApJ, 895, 14

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.255972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.954757Z digest=sha256:aa83b126e2b2af64a306970f28a086aa1164ac6435f330edf45bb44ecef5c91d

Observation c7805914-ad11-4f20-9837-b17d0b8633a5 · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:54:51.246355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.957988Z digest=sha256:8b5f11ec312302fd99b51ae3732dff2731b9c217a873f2a44fc89ff0e05aee64

Observation 1dc1b505-a540-4b99-bcd2-3ea26e2843df · outbound

This paper cites S., Narasimha, D., & Chitre, S.

Explicit symplectic integrators with adaptive time steps in curved spacetimes S., Narasimha, D., & Chitre, S

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.237704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.961577Z digest=sha256:d9e1a402a81bb9d26fd7e404700f2823abb226ad059a87ec52a7b6d4aa5bd4d5

Observation 158a2c70-f5c8-44ff-b966-599ca1b306de · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:54:51.228094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.964753Z digest=sha256:6b0581395d0c60572bcaee3bcc3ffa04e9d2821aea16921197be238293cb5900

Observation 82d270d8-f77c-4ff5-af44-db50a8e1cd5e · outbound

This paper cites 2021d, PhRvD, 104, 084021.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2021d, PhRvD, 104, 084021

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.218010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.967761Z digest=sha256:ffb9936a9bd508f7219a9664b72e59631a0ba78650e0b9ba95adaba351b5e2a0

Observation 601951a5-2153-4251-946a-d67f8215eb04 · outbound

This paper cites 2021a, ApJ, 907, 66.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2021a, ApJ, 907, 66

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.208151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.971142Z digest=sha256:855955ef84d1ddb5cfa3d191c36db2fc1ea7fc709c259c93361d65171b74a61e

Observation f7590bd2-ed01-49ff-9749-f1d1a7afc649 · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:54:51.197390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.974510Z digest=sha256:b179d99f29a269765f257a648c69f4bf97bf1057ccd7968bbe4b3ea4bd1e1acf

Observation 841c48df-bb45-4afd-a7fc-979eadbe581a · outbound

This paper cites 2021c, ApJS, 254, 8.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2021c, ApJS, 254, 8

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.188454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.977708Z digest=sha256:be4cc5c9d348ccfabc5e5ab7def931df4abcc274dede3f92febedc122a3ce6ba

Observation ca49d706-bcc3-4c89-a926-0f7074d5a918 · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:54:51.179559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.981078Z digest=sha256:2b3172345019cdd93fe71b17a36ac7d89cc6338379542228c47ff9c1f56e71b7

Observation 36e801c2-32a3-43c0-b067-371912f27edb · outbound

This paper cites 1982, AJ, 87, 577.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 1982, AJ, 87, 577

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.170886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.984949Z digest=sha256:3a867118f1ac17cfbee62f82ae1806c92f7814dec91479a5907b232090c28f3b

Observation 51a645e0-110c-413a-8f59-cf9abdd4e8b4 · outbound

This paper cites 1991, AJ, 102, 1528.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 1991, AJ, 102, 1528

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.162331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.988244Z digest=sha256:10835c3ddd765c9afb5abef201b2e388266317b20bbe421b98dc89534ea477d5

Observation 56baa944-5587-4246-a9d5-2f3c4270258e · outbound

This paper cites an unresolved cited work.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:54:51.153793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.991355Z digest=sha256:1fd6e493e90d3b6cbfbacdc6aaaa9903c1e0b802842e7271b28b5a773958d7ce

Observation af6cc128-1b74-4735-8b3c-60681c00e8a4 · outbound

This paper cites Y, & Han, W.

Explicit symplectic integrators with adaptive time steps in curved spacetimes Y, & Han, W

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.144628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.994099Z digest=sha256:7d01fde1818919fa796333fc694dc3d2c3fbd3ac7b0a71ff04c82d6adc016994

Observation 28c0eecc-8651-452e-a5b4-9243e644e8aa · outbound

This paper cites 2022, Universe, 8, 320.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2022, Universe, 8, 320

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.135636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.997284Z digest=sha256:d8bc404bb023094316f853d31b2bed770cd8326a144c3b84a038eaad0d0e5810

Observation 01117d26-9dd9-41a5-b63a-d9b81732c46a · outbound

This paper cites 2023, Eur.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2023, Eur

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.126720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.000347Z digest=sha256:58c02b8ec78686a55961898240f818113a918e6a95fb641a870dcfb07dd4451a

Observation 217a0895-fb39-48b9-86c0-bad6c6be1602 · outbound

This paper cites 2023, Eur.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2023, Eur

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.117783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.003656Z digest=sha256:139a2b4446739101af1f5b16854db133314236475fb93ba785f6a57d1c80b987

Observation 5ee1a94d-0d5c-4245-a98d-f35237d02945 · outbound

This paper cites 1990, Phys.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 1990, Phys

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.108028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.007169Z digest=sha256:42588775bb67b5fe0df6b8f5dcfa037f0046d31c73739058b5d5d9eff14632a2

Observation 3ff37562-823f-4149-94d0-416c1a928af3 · outbound

This paper cites 2023, ApJ, 942, 47.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2023, ApJ, 942, 47

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.098220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.011022Z digest=sha256:46f580436ddc8c714383c6840b3915103cb887d1897a072979d2a732c309780b

Observation 7aec7780-c44f-4072-b800-9fb3571de205 · outbound

This paper cites 2022, Eur.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2022, Eur

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.088860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.015062Z digest=sha256:bd92a236872ffb193572ab4a6beac15345a9095b62672f743278562413c11db4

Observation 365b07da-0b31-40f8-8c42-6d61ab92cbd4 · outbound

This paper cites 2021, Universe, 7, 488.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2021, Universe, 7, 488

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.079996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.018380Z digest=sha256:825181b93e4eef32e641dce1a6d329cd4a1daad16ffcf137d291a8d8e70f9333

Observation c95683a5-737e-4dc8-b120-68319986fd1f · outbound

This paper cites 2022, General Relativity and Gravitation, 54, 110.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2022, General Relativity and Gravitation, 54, 110

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.069703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.022241Z digest=sha256:38a7a56f8b577be3e0f75e075d16a4f8b779d4dc40110db1f64574059f11856d

Observation 402333eb-706a-4a9a-a1ea-9a91166cb071 · outbound

This paper cites 2022, ApJ, 927, 160; 2023, ApJ, 947, 94.

Explicit symplectic integrators with adaptive time steps in curved spacetimes 2022, ApJ, 927, 160; 2023, ApJ, 947, 94

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:54:51.058059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.025631Z digest=sha256:693bfb41ce628d02e4e14663bebd6aa24b329ad7187d47de71e310bcc117b5e8

Pith citing papers

Observation 51753a08-f6f8-46d8-b991-bf221ee1762c · inbound

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms cites this paper.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Explicit symplectic integrators with adaptive time steps in curved spacetimes

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.497091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.497091Z digest=sha256:1d5f253cd77b2740514ddb61e4157821a4a86e813ad064faaec8386ab8f3b624

Observation 2274ab06-afc9-47dc-a713-8e13a40b29fa · inbound

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime cites this paper.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Explicit symplectic integrators with adaptive time steps in curved spacetimes

Reference 35

Resolution
verified exact
local_arxiv, observed 2026-08-11T06:02:32.882996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T06:02:32.603905Z digest=sha256:2219b6fe198ba943189c13f93c4a365a9f864a386d0d5089bd91a22a79193068