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Paper Citation Record · LEDGER

Explicit symplectic integrators with adaptive time steps in curved spacetimes

As of 12 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 2026-08-12T06:34:41.77262+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
  • parse uncertain0
  • malformed identifier0
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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
raw_fallback, observed 2026-08-12T04:54:51.843374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+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
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.768702Z digest=sha256:1a9851b9887dbcc3230337377ce02f8cc4fb4d4ae1614bc8a330a3abb62899a3

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
raw_fallback, observed 2026-08-12T04:54:51.810544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.783234Z digest=sha256:d20933b3acad9abfd663520a842324ea8c406bf83eddae484fec61f7b853b90e

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.786625Z digest=sha256:8cbad3f7f433024b7c64cab751dddeff6f5f46c6b183452c64901c584112fb1b

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

Resolution
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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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source=arxiv_source observed=2026-08-12T04:54:50.802788Z digest=sha256:206467c8e3c02d0035041a5dca480d6f7a7e57974f96701a8a86ce077fbf3522

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

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

Resolution
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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

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.819467Z digest=sha256:d550e80149a3c62197ad1182cbfc052fa2e25e634ff0368c92f9995643d710ec

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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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

This paper cites an unresolved cited work.

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

Reference 25

Resolution
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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

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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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raw_fallback, observed 2026-08-12T04:54:51.528044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.867726Z digest=sha256:3f9ff4c2df0efe76cb6e4556021f541d79f0ee910b8b3026d2594b78137b3f7d

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.870875Z digest=sha256:d68643c263b016180b4f2cd74f8f57215f9dc7b0bd3648ff0519095e92798cce

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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.877343Z digest=sha256:842fcd20c6c0b3cf151e4a87f990142a58ac3adc52e38d5555cd697668a9d01a

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.880686Z digest=sha256:35686e6c67159349a2a4359e2da81df29ac5aefe54e96de472561560ee1aca65

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.883888Z digest=sha256:b62b4af7928a888a1b2d5ca870cb9367174f9714cd71bc3c3f6bacc917e3ad27

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.886924Z digest=sha256:d311bee5dd9700e809a43e30a86c135f12f0b81abac229bea963994c8fa9faf4

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.890215Z digest=sha256:91eee25b379a0df0425d25d6a8e3fb6e630903212e5004028e2fc6d8130cb64f

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.894210Z digest=sha256:d6321b0baaca6c1f3ce203f45081c1eff0a3f28352c9184e6192508b6c5240e3

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.897523Z digest=sha256:1c1dc43dbcbfb8f8a58d5246f9efbc6a0730b057a1edf9423fa7d3e102e55287

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.900725Z digest=sha256:cdc679ad09b792f8a2ab953ed401e4c70adbf6c7d53c68efffb8ffca9a6f0080

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.904086Z digest=sha256:06a9ea27084566560e7563a06d6bdeea50b433f92cfd75de4daa4de0c3535392

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.907777Z digest=sha256:fca3e56e9c86c5595a5c38c5837fe665c58d0ef660193dafa54d9c0d299d3ac2

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.911104Z digest=sha256:e410fc2088bb7adc3b9917cc20ac908da0d07547955a4d17ddc21bba8e023e0a

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.914497Z digest=sha256:94993c24a7e8cc63548ed639a457f6afb6819c8ff6bb0c720edc24ccf8b875d0

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.917773Z digest=sha256:4d76607288200991037bb629121fec21131ab201d55bdcccbaaaba58badb846f

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.921054Z digest=sha256:be80c5a0d709002a1a0b88e29bd8036f4882923a713d9dc1dd5013719d0b9d0d

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.925405Z digest=sha256:8c9bd1d5d7df14c78433ca767db9df46bae941ee8c4d0974369d70bc50dde8a9

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.928426Z digest=sha256:934acf0ebcec802bba653658f54fdcf589d617dc074c12785cdebed8790c5a70

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.931724Z digest=sha256:a741241d970670c1db3bc5e4aa65a7bb6198ba0fa857a3849176239988f2cf69

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.934972Z digest=sha256:93472557614dfbdf7342f34151a83473c7a4e7fd2af812fdbf70ddbf10deaf57

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.937998Z digest=sha256:472d8a5eab3b5ce0ee4b1c6a98429f9394563a85a67cd362291fafc780e31240

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.941201Z digest=sha256:5cb0394eab10402bd165e10559c52058ab4f9553cff0716f555cca16adac6633

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.944502Z digest=sha256:ae62be13c9029daa39f1ff1038576533f4f3f98bd1277672e431dc08d42d7fa8

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.948541Z digest=sha256:e05ca4044640971719ecdb662eb8a8d7997c7b71d3aa2e23d213cfa3c2a494e3

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.951701Z digest=sha256:797048f99a9703c6c99560a80e3604052c838ab9a3e1f233fa8e5d232a69088b

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.954757Z digest=sha256:4240c8ca66730aeb489601350955a65d0f7fcd52b3ec2f70d0d5ca54a1221486

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.957988Z digest=sha256:14f7279054dc01b7ef9fd5c5c23fe6ef333ff6cdbb4d2098054b5764e8d42191

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.961577Z digest=sha256:1187e242aefceb163360bd59e3b99798a5ebc6a47e8dc70cc50970d37b67f284

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.964753Z digest=sha256:b8767240a158df6a0bcbe68a1720d34586b1517eb9d1dc4626bf56cfa8dd7f44

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.967761Z digest=sha256:c884cb50cb24a42cee3c282c057771f6c069b98ddd820df15568cdb358cc9e3d

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.971142Z digest=sha256:c7dcb1fe8df119858963c49b1f6c93a645359d129763180ed2d66a023cc72e98

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.974510Z digest=sha256:ee96b1ca4b5341e931139a198f3d670319524bdc7d409fa278b8364593b1df7a

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.977708Z digest=sha256:2b00fa73e5ce1348b0e33de06b9ae8b8e674357e4759536199de2f93ae8dc575

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.981078Z digest=sha256:7d3cbde7cea1f5c9d493f028f8cc1df0c5e45a05256380abab27dae5234e0971

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.984949Z digest=sha256:d5b95608f7a4a39eea3935dfe05b0f0453046f0a55bc3b45dd24b20fd8ca72c5

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.988244Z digest=sha256:d03ff533ef0d4828e57e792664de43ce5e872d23a9c161a80a1f6d615e03e1ce

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.991355Z digest=sha256:63ec72778f9434c8ea02e1c0fd2e9e3e6d82625dd20526ffacd2dd6284d33c63

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.994099Z digest=sha256:333c672aeda8a63ef6eb0d808214c4d2740bfa0b9cb8a9ebd79255c63f04d1d9

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:50.997284Z digest=sha256:6ba16e8afaeb23d6c097b25d20e7a272a290ae5e710f62e6c27e25c7d7a52a7f

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.000347Z digest=sha256:0033f24cf3bc696d96970608082f7a29aaf03328f321d4f0c380d838677e81c3

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.003656Z digest=sha256:6dca2b5108a0f4996a8789164719dec2c6612279f79868bc3a97bce05e35c092

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.007169Z digest=sha256:9cab1362b598f6d5c384f2693773c462bfab67a7671194f8121d7b8bc3557d08

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.011022Z digest=sha256:49271479ca1fba70927230ee61280c7ced2e9146f47f75ec2cddf42c85921d64

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.015062Z digest=sha256:98c6892e32b712102e36c2daaaab608756ef77f26cd2f52068a7a5d148c352d2

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.018380Z digest=sha256:e55533900929652f419682e0e38197f69dc333816944c01b258a84044ecb567a

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.022241Z digest=sha256:090963d4f4a1ac066fbd9c7dc9b9a2a68c93ab0ffd721321603e00a52ebbfa14

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T04:54:51.025631Z digest=sha256:4bc4d4ec0f2be8e5d7f2fc7126dd5b64677f88667ca4d14cf183b2217e261d38

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=sha256:011bd0e1af16caad45c5a6fb0085bc9fd54d62e371f0d750b12b8abc6c9a848e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T06:02:32.603905Z digest=sha256:462e15cd97d7a3fbf2f398e51eeaa79d3af7501fa1f466e1ece6b4d50d7373c3