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Paper Citation Record · LEDGER

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

As of 12 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 2 inbound Pith citation observations for arXiv:2412.06122.

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

pith.paper-citation-record.v1
2412.06122 v3

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:05:14.642082Z

measured 67 of 67 standing notices

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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 2026-08-02T10:46:52.640436Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T06:59:37.333217Z

Reference resolution

65 of 65 outbound references displayed

  • verified exact23
  • verified fuzzy3
  • unresolved37
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fc39cd93-eebf-425d-b492-862b48e8dcbc · outbound

This paper cites Blandford-Znajek jets in MOdified Gravity.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Blandford-Znajek jets in MOdified Gravity

Reference 1

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local_arxiv, observed 2026-08-11T20:05:16.665679Z

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

source=pdf_text observed=2026-08-11T20:05:14.200584Z digest=sha256:957503d390ac0b107e5ecff515dd6c58bf4d2ec6694c2ff536c19f20d80d7795

Observation 873771ce-3396-415f-ae07-a9a2499cbee1 · outbound

This paper cites Then, a fourth-order symplectic integrator is constructed as SH 4 (h) = SH 2 (γh) ◦ SH 2 (δh) ◦ SH 2 (γh).

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Then, a fourth-order symplectic integrator is constructed as SH 4 (h) = SH 2 (γh) ◦ SH 2 (δh) ◦ SH 2 (γh)

Reference 2

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source=pdf_text observed=2026-08-11T20:05:14.191834Z digest=sha256:967c8b65f0e09f050ec9b8c571537564be2bb235cdaf37cb007ed90f5651e6ea

Observation 2d37d956-d76e-465b-8ed7-24f2a3b5b3a6 · outbound

This paper cites Black hole merger estimates in Einstein-Maxwell and Einstein-Maxwell-dilaton gravity.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Black hole merger estimates in Einstein-Maxwell and Einstein-Maxwell-dilaton gravity

Reference 3

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local_arxiv, observed 2026-08-11T20:05:16.633170Z

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source=pdf_text observed=2026-08-11T20:05:14.207166Z digest=sha256:4cc110283ef36d67c93ff41b03a340fcf1a423099678c244d15ad323e3e1088f

Observation a08418c8-0420-4449-b794-6abca8d9e2bd · outbound

This paper cites Dark matter and dark energy,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Dark matter and dark energy,

Reference 4

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source=pdf_text observed=2026-08-11T20:05:14.213331Z digest=sha256:21752bfe5f34c3cc89f6ea3536403037717b85e8668433121086fa957737ab07

Observation 1dbe8444-538b-460e-92b2-154cdde1a245 · outbound

This paper cites The Cosmological Constant and Dark Energy.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms The Cosmological Constant and Dark Energy

Reference 5

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source=pdf_text observed=2026-08-11T20:05:14.219438Z digest=sha256:653993f0bba67831ad79873bc311a3f73b41ababb21e6f3e7a706e8a407dfb43

Observation 365402f4-c0b8-424b-839c-fb5e4639da07 · outbound

This paper cites A Modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms A Modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis,

Reference 6

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source=pdf_text observed=2026-08-11T20:05:14.225928Z digest=sha256:8aa18ec0bf70c415c12251dffb0b3b197bcc951ad536faaf56bf97da08dbd6e1

Observation 1918e4a2-436d-4d06-a42c-9ada6a121eec · outbound

This paper cites Scalar-Tensor-Vector Gravity Theory.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Scalar-Tensor-Vector Gravity Theory

Reference 7

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source=pdf_text observed=2026-08-11T20:05:14.232977Z digest=sha256:44637066faa821bb5400f37f7ba379a3ba1a758a609263f1cdb6e8eafcc1ab31

Observation 96aca068-34f5-4990-841e-6b65dbe6d6a8 · outbound

This paper cites The MOG weak field approximation and observational test of galaxy rotation curves.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms The MOG weak field approximation and observational test of galaxy rotation curves

Reference 8

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source=pdf_text observed=2026-08-11T20:05:14.246972Z digest=sha256:f6b3559f6fab58c59eb1055400a631db7f1f316b0a77d1ef3bced95929d26925

Observation 037e3081-cd5a-45a5-8a97-62f7b82d01e8 · outbound

This paper cites The MOG Weak Field approximation II. Observational test of Chandra X-ray Clusters.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms The MOG Weak Field approximation II. Observational test of Chandra X-ray Clusters

Reference 9

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source=pdf_text observed=2026-08-11T20:05:14.256821Z digest=sha256:7b55876aaa4d3b2b89a2c925555209cc47f183d72a74e01983caebee01d7ad32

Observation f12f8571-add7-407e-983a-a91ea59ec027 · outbound

This paper cites Galaxy cluster masses without non-baryonic dark mat- ter,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Galaxy cluster masses without non-baryonic dark mat- ter,

Reference 10

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source=pdf_text observed=2026-08-11T20:05:14.265663Z digest=sha256:d8244747757b5d766be3799290a4741b3980495d69d6f9567b8fb392e75946ce

Observation f14ac154-02ae-4b48-b702-38cf6ac48216 · outbound

This paper cites Rotational Velocity Curves in the Milky Way as a Test of Modified Gravity.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Rotational Velocity Curves in the Milky Way as a Test of Modified Gravity

Reference 11

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source=pdf_text observed=2026-08-11T20:05:14.271347Z digest=sha256:237f4430c1ff34ae63a3fbcae8ad8689ab31d2fdf2a17476fd91bae2e1b354e0

Observation 2469e213-f98b-464f-b1f9-6062f07f1bf5 · outbound

This paper cites Structure Growth and the CMB in Modified Gravity (MOG).

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Structure Growth and the CMB in Modified Gravity (MOG)

Reference 12

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source=pdf_text observed=2026-08-11T20:05:14.277882Z digest=sha256:35f6009714c6b7995867abd2ccb6f7a4b5c565ccb8ea6889d9ccecf970ea77fa

Observation b680d17b-d110-4716-91b3-71f23601de13 · outbound

This paper cites Scalar and Vector Field Constraints, Deflection of Light and Lensing in Modified Gravity (MOG).

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Scalar and Vector Field Constraints, Deflection of Light and Lensing in Modified Gravity (MOG)

Reference 13

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source=pdf_text observed=2026-08-11T20:05:14.284169Z digest=sha256:927c783b3ac40309c4409f9175c7908443ae3dd12f49126f1a45a108829dbf58

Observation a3f1d3a7-5981-4bfb-9767-b8f78000df76 · outbound

This paper cites Modified Gravity Black Holes and their Observable Shadows.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Modified Gravity Black Holes and their Observable Shadows

Reference 14

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source=pdf_text observed=2026-08-11T20:05:14.291584Z digest=sha256:2918c4164df085be4c6be4a22f129f92b41fafe08275dd2222e3fca466513658

Observation 52d062df-34b1-48ed-9641-d40f4ed0974b · outbound

This paper cites Inner-most stable circular orbit in Kerr-MOG black hole.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Inner-most stable circular orbit in Kerr-MOG black hole

Reference 15

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source=pdf_text observed=2026-08-11T20:05:14.298055Z digest=sha256:c12d39f5b435bb362753614602fc48e29f05676a192971d71540185122958744

Observation 8c2f2138-d02a-4aab-9e53-066161a2545c · outbound

This paper cites Observational signature of near-extremal Kerr-like black holes in a modified gravity theory at the Event Horizon Telescope.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Observational signature of near-extremal Kerr-like black holes in a modified gravity theory at the Event Horizon Telescope

Reference 16

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source=pdf_text observed=2026-08-11T20:05:14.304555Z digest=sha256:74bfb464b9ebdf111d5f6cc1b84400a750abc8953a9f1b462a317d95932a3e6e

Observation d3c89568-e258-4037-a348-03ba966d5143 · outbound

This paper cites Image of Kerr-Melvin black hole with thin accretion disk.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Image of Kerr-Melvin black hole with thin accretion disk

Reference 17

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no resolver link, observed 2026-08-11T20:05:14.310906Z

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source=pdf_text observed=2026-08-11T20:05:14.310906Z digest=sha256:12563e9dc01acbd98d0ef688a24d02912e88649b591dc0a155fd96ded5a4320a

Observation 9d53f3e5-da7f-4afc-90af-3358d8e002ba · outbound

This paper cites Geodesic motion in Euclidean Schwarzschild geometry.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Geodesic motion in Euclidean Schwarzschild geometry

Reference 18

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source=pdf_text observed=2026-08-11T20:05:14.321988Z digest=sha256:466a93ad2186249125b2f42bbe250abbddfda6668742fcb635dfdced42fc91cc

Observation 7d1e0e51-74b6-4a4f-ae8f-c61c210220e6 · outbound

This paper cites Chaos Bound and its violation in Black p-brane.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Chaos Bound and its violation in Black p-brane

Reference 19

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source=pdf_text observed=2026-08-11T20:05:14.332761Z digest=sha256:da9e255facae4317a9baa32167e0c968a924366769204f1da47cb59c4048cd3e

Observation 204301b6-9bfc-4c35-8df6-2d062dc825a6 · outbound

This paper cites Presence of horizon makes particle motion chaotic.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Presence of horizon makes particle motion chaotic

Reference 20

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source=pdf_text observed=2026-08-11T20:05:14.338978Z digest=sha256:05a188be909251dd4ca3aa4ec9052462121eece6c74a0e10a50ca5310bc795e3

Observation c719f8fc-0600-44c7-a3ba-1b4754d6cf40 · outbound

This paper cites Induction of chaotic fluctuations in particle dynamics in a uniformly accelerated frame.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Induction of chaotic fluctuations in particle dynamics in a uniformly accelerated frame

Reference 21

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local_arxiv, observed 2026-08-11T20:05:16.083884Z

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

source=pdf_text observed=2026-08-11T20:05:14.344345Z digest=sha256:e9a5a61379d716600f541f7037d5f18894f7b576eeb465b6d156a2dfd7294b00

Observation f707a949-c4c0-4afe-b60a-213b9d5e0d76 · outbound

This paper cites Black Holes in Modified Gravity (MOG).

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Black Holes in Modified Gravity (MOG)

Reference 22

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source=pdf_text observed=2026-08-11T20:05:14.351255Z digest=sha256:f710e19d8db3a7fe706ea43d28e66403c1004d55909f6e401f17f3531784b46d

Observation 8a14d59d-6ead-4a10-817f-50c7fa45b4a3 · outbound

This paper cites Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

Reference 23

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source=pdf_text observed=2026-08-11T20:05:14.357362Z digest=sha256:2d881bb841059dcbde0e5f795b67cc4e1c052b76b594b433e8691ac518d8ed23

Observation 6e0167bf-c4ba-4a06-9486-512cafac4d49 · outbound

This paper cites Velocity scaling method to correct individual Kepler energies,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Velocity scaling method to correct individual Kepler energies,

Reference 24

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

source=pdf_text observed=2026-08-11T20:05:14.363423Z digest=sha256:fff7c5332f4a567987b5fa1163f0c9f84d90f465d23ba23ac331eea498c0d692

Observation fac72b65-aeca-459f-b61b-0c35c3c4ee8c · outbound

This paper cites Symplectic integrators for Hamiltonian problems: an overview,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Symplectic integrators for Hamiltonian problems: an overview,

Reference 25

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verified exact
doi, observed 2026-08-11T20:05:15.277866Z

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

source=pdf_text observed=2026-08-11T20:05:14.369206Z digest=sha256:b00ecb08a6d58369c85616f1ac5ae592ebbf59d5186597cee1b822a08670bcbc

Observation 5a73d805-88d3-48b3-b539-9425ebbc0b81 · outbound

This paper cites Discrete mechanics and variational integrators,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Discrete mechanics and variational integrators,

Reference 26

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source=pdf_text observed=2026-08-11T20:05:14.377392Z digest=sha256:42628a830a80014101faa54a0c9e2adf94f36b215c5bee64ba06d284f848db8b

Observation 05b4c423-a729-4ea9-a4f5-09ec92a33954 · outbound

This paper cites Numerical Hamiltonian Problems,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Numerical Hamiltonian Problems,

Reference 27

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raw_fallback, observed 2026-08-11T20:05:16.715578Z

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

source=pdf_text observed=2026-08-11T20:05:14.383574Z digest=sha256:312a48a8f977c7ae5d08a8003f6421c0dac8ea9de586dd82dda2fde5aa6a7e49

Observation bef7e5df-90ef-4970-88e2-5c73e8cc8884 · outbound

This paper cites On difference schemes and symplectic geometry,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms On difference schemes and symplectic geometry,

Reference 28

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raw_fallback, observed 2026-08-11T20:05:16.692862Z

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

source=pdf_text observed=2026-08-11T20:05:14.391151Z digest=sha256:e10397977c185c418c029cfd34cea04eb52473e83f588b0369e8e5f0431c52ad

Observation 37dbe06e-caa0-4736-97d2-21231d6eb7a9 · outbound

This paper cites A Canonical Integration Technique,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms A Canonical Integration Technique,

Reference 29

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source=pdf_text observed=2026-08-11T20:05:14.398177Z digest=sha256:77168dd439af13df30e4f09642385ff3d1e53c389230a146ddbd9998bf3c2e6c

Observation 39f6d18e-cf81-4d93-9246-70d8b2de4e05 · outbound

This paper cites Symplectic integrator for general near-integrable Hamiltonian system,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Symplectic integrator for general near-integrable Hamiltonian system,

Reference 30

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verified exact
doi, observed 2026-08-11T20:05:15.211531Z

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

source=pdf_text observed=2026-08-11T20:05:14.403736Z digest=sha256:ab1510c9a8166ac88724572402759e7c61ad7e98303d82be1f0e04049c9a926a

Observation e53372fd-0bb7-4c29-87a3-ba04169becb7 · outbound

This paper cites Fractal decomposition of exponential operators with applications to many- body theories and Monte Carlo simulations,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Fractal decomposition of exponential operators with applications to many- body theories and Monte Carlo simulations,

Reference 31

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unresolved
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source=pdf_text observed=2026-08-11T20:05:14.411112Z digest=sha256:af6805d197f6253c7978add5a1ad40da282cdf04e8a72b32c6f4f52fab0d4341

Observation 082bcdc0-4aa2-439d-aa75-ba82b30a948b · outbound

This paper cites Symplectic structure of post-Newtonian Hamiltonian for spinning compact binaries,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Symplectic structure of post-Newtonian Hamiltonian for spinning compact binaries,

Reference 32

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verified exact
doi, observed 2026-08-11T20:05:15.158621Z

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

source=pdf_text observed=2026-08-11T20:05:14.416926Z digest=sha256:7742951c3c5a227df55caf4f26257aa38655b473b78c21c0fa8d5cb2ad8caaa9

Observation 176b6ec2-7426-4593-8ff6-e61e391de18d · outbound

This paper cites Manifold corrections on spinning compact binaries,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Manifold corrections on spinning compact binaries,

Reference 33

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verified exact
doi, observed 2026-08-11T20:05:15.129602Z

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

source=pdf_text observed=2026-08-11T20:05:14.423001Z digest=sha256:991796e70fcdb15fa27180a664da0b1d895bb47338f773b7bf0bfcfa3084d7ed

Observation 6ec17690-06ad-421d-ad23-7e91481530dd · outbound

This paper cites Global symplectic structure-preserving integrators for spinning compact binaries,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Global symplectic structure-preserving integrators for spinning compact binaries,

Reference 34

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verified exact
doi, observed 2026-08-11T20:05:15.101179Z

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

source=pdf_text observed=2026-08-11T20:05:14.429891Z digest=sha256:6bb766ecc5cd2aee6f7bbb6e44ab6d9903fee7b3284d40e73d3f4559795c6b9c

Observation 43ecdfa5-ea86-4d1c-8314-e708ccaa779a · outbound

This paper cites Regular dynamics of canonical post-Newtonian Hamiltonian for spinning compact binaries with next-to-leading order spin-orbit interactions,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Regular dynamics of canonical post-Newtonian Hamiltonian for spinning compact binaries with next-to-leading order spin-orbit interactions,

Reference 35

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verified exact
doi, observed 2026-08-11T20:05:15.063698Z

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

source=pdf_text observed=2026-08-11T20:05:14.436773Z digest=sha256:58e1f801c876876280feb7bdf9d4f33feef8f054b76f994dd87b66bcce45a08e

Observation 2dbda50b-9fc8-4339-9fa8-6f806718f756 · outbound

This paper cites Dynamics of spin effects of compact binaries,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Dynamics of spin effects of compact binaries,

Reference 36

Resolution
verified exact
doi, observed 2026-08-11T20:05:15.032326Z

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=2026-08-11T20:05:14.442658Z digest=sha256:248020c4a9330d02ea2177caf8cfcd6118944aa384cdf7312dd20838e81dde39

Observation 08b55714-5756-4ba1-b8db-7044e1a60740 · outbound

This paper cites On preference of Yoshida construction over Forest– Ruth fourth-order symplectic algorithm,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms On preference of Yoshida construction over Forest– Ruth fourth-order symplectic algorithm,

Reference 37

Resolution
verified exact
doi, observed 2026-08-11T20:05:14.994641Z

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=2026-08-11T20:05:14.448673Z digest=sha256:9e45517db220af208d17484ff70d4692fa02cbd6e174076de3656655c03ca189

Observation f5163e89-3df7-4fc9-9e0e-2c300d61344e · outbound

This paper cites On post-Newtonian orbits and the Galactic-center stars.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms On post-Newtonian orbits and the Galactic-center stars

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-11T20:05:15.911689Z

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=2026-08-11T20:05:14.454454Z digest=sha256:14557900c7a5d316830e98fa6ec460b22bc7b0cea366bcbf5e07ef113669f7f8

Observation 8112b4ab-48c2-467c-b11f-933924a2f3ec · outbound

This paper cites Splitting methods,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Splitting methods,

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.461546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.461546Z digest=sha256:88a310e099608ea0c786d5269f401287ca0e5fb564b6aabbd59bd7fcfc4e177e

Observation 0ded5ae6-ae97-47ec-a80e-70af37ca0aeb · outbound

This paper cites Symplectic maps for the n-body problem,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Symplectic maps for the n-body problem,

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.466893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.466893Z digest=sha256:f31e2f3b172c5e250d048e847ebb52982b623af05f8a38f15497c0853f8883f1

Observation c0cb0170-4bfe-497f-9c4a-a3ac94e7602c · outbound

This paper cites Symplectic integrators from composite operator factorizations,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Symplectic integrators from composite operator factorizations,

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.473117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.473117Z digest=sha256:93df116d151fba8ed5002bbb472438f8f16bb6647d074002273ef969752f6d69

Observation b721f6a3-7503-4b2c-be2b-794bf5d208ce · outbound

This paper cites Forward Symplectic Integrators for Solving Gravitational Few-Body Problems.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Forward Symplectic Integrators for Solving Gravitational Few-Body Problems

Reference 42

Resolution
malformed identifier
local_arxiv, observed 2026-08-11T20:05:15.870109Z

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=2026-08-11T20:05:14.479771Z digest=sha256:6b19ebab637c1d297f6a850c74bee546fb7061955dfdbc6f125ad33a9d5d929d

Observation c24cc0bc-37a9-4210-88dc-c8a59bacfc92 · outbound

This paper cites Symplectic integrators with potential derivatives to third order,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Symplectic integrators with potential derivatives to third order,

Reference 43

Resolution
verified exact
doi, observed 2026-08-11T20:05:14.911690Z

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=2026-08-11T20:05:14.490866Z digest=sha256:85c08c4fb6b74e11583db559b682f1eebe167d56686e2f95396cc9a93c8ca95b

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

This paper cites Explicit symplectic integrators with adaptive time steps in curved spacetimes.

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 a5d8718a-1ace-416b-8e5b-bfeed2b41465 · outbound

This paper cites Construction of Explicit Symplectic Integrators in General Relativity. I. Schwarzschild Black Holes.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Construction of Explicit Symplectic Integrators in General Relativity. I. Schwarzschild Black Holes

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.504677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.504677Z digest=sha256:d205627d5b19be2fbd87bf719665fd337b02e8850d103cbac6b34a6c5eab1de4

Observation a194a1ba-9808-485b-a069-310a17936cad · outbound

This paper cites Construction of explicit symplectic integrators in general relativity. II. Reissner-Nordstrom black holes.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Construction of explicit symplectic integrators in general relativity. II. Reissner-Nordstrom black holes

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.510562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.510562Z digest=sha256:cfda959cf45553ead36eaa18ed4358998cf5530b1d162c4014ac11995b328b8e

Observation 5d39725f-906c-44b4-acfc-b7becf4f4867 · outbound

This paper cites Construction of explicit symplectic integrators in general relativity. III. Reissner-Nordstrom-(anti)-de Sitter black holes.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Construction of explicit symplectic integrators in general relativity. III. Reissner-Nordstrom-(anti)-de Sitter black holes

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-11T20:05:15.747121Z

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=2026-08-11T20:05:14.516236Z digest=sha256:0088f05bd25994e9ebe092ca7d0bb5c89e7a4de64141ea48a4ebe2c838cc3af0

Observation f4fb4f3e-62a0-4f73-a9df-8680b9c310c4 · outbound

This paper cites Construction of explicit symplectic integrators in general relativity. IV. Kerr black holes.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Construction of explicit symplectic integrators in general relativity. IV. Kerr black holes

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.523047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.523047Z digest=sha256:38d9c7e39f3ad53a8c5e630d7bb5ce7259dbd5b53541c87b7b5389309aaa5241

Observation aaf67168-40b9-40eb-9f79-80692f2fe84d · outbound

This paper cites Practical Symplectic Methods with Time Transformation for the Few-Body Prob- lem,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Practical Symplectic Methods with Time Transformation for the Few-Body Prob- lem,

Reference 49

Resolution
verified exact
doi, observed 2026-08-11T20:05:14.871701Z

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=2026-08-11T20:05:14.528745Z digest=sha256:69e6f5bcb0f96e2d1de6bb9abac3f6eaa2712320899fb8dfa0c47b4da17112b7

Observation 99f4573a-c7af-4f0c-8c71-e6f3ba152f00 · outbound

This paper cites Chaos in a Magnetized Brane-World Spacetime Using Explicit Symplectic Integrators,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Chaos in a Magnetized Brane-World Spacetime Using Explicit Symplectic Integrators,

Reference 50

Resolution
verified exact
doi, observed 2026-08-11T20:05:14.845268Z

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=2026-08-11T20:05:14.535173Z digest=sha256:14d828fcc29051c9b57119f251813010bd1e42e3ab15ce8a69ab64f8276e8473

Observation ffeeb6f6-a0ca-4cca-bd2f-c25a4fc72d2e · outbound

This paper cites Chaotic Motion of Charged Test Particles in a Magnetized Schwarzschild Black Hole,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Chaotic Motion of Charged Test Particles in a Magnetized Schwarzschild Black Hole,

Reference 51

Resolution
verified exact
raw_fallback, observed 2026-08-11T20:05:15.686967Z

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=2026-08-11T20:05:14.540757Z digest=sha256:27298cc910b728ef45c96aa89526b292039ec4c31348e7f179419d22b4c228dc

Observation 0b20579c-8df1-4d2f-b021-e90d9ac431bd · outbound

This paper cites Electromagnetic field and chaotic charged-particle motion around hairy black holes in Horndeski gravity.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Electromagnetic field and chaotic charged-particle motion around hairy black holes in Horndeski gravity

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.546022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.546022Z digest=sha256:21b4b3db97007400c5c6fb91dcc66e6ad9e73b7ad147637b5b5e2066706cc809

Observation 127af85c-e649-4054-93fa-a553d9317fe2 · outbound

This paper cites Effects of Two Quantum Correction Parameters on Chaotic Dynamics of Particles Near Renormalized Group Improved Schwarzschild Black Holes.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Effects of Two Quantum Correction Parameters on Chaotic Dynamics of Particles Near Renormalized Group Improved Schwarzschild Black Holes

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-08-11T20:05:15.560620Z

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=2026-08-11T20:05:14.552427Z digest=sha256:49f1ab4e76cef6f429c8cee413bd851d35ef3fb8ae628de5062781480169713f

Observation 253d3001-92c3-4a50-9e58-4302990af878 · outbound

This paper cites Chaos from the ring string in Gauss-Bonnet black hole in $AdS_5$ space.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Chaos from the ring string in Gauss-Bonnet black hole in $AdS_5$ space

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.562009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.562009Z digest=sha256:ec73671afcf57d10dedf973c82e8cad2ad76e78a26909ece335340410fc7d4fb

Observation 815f17f2-4444-439b-9798-4bc91522df71 · outbound

This paper cites Black Hole Thermodynamics in MOdified Gravity (MOG).

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Black Hole Thermodynamics in MOdified Gravity (MOG)

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.569203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.569203Z digest=sha256:740081a923d97c4810aab3add214a923dc33a9e8979d232dc880f3c1db92fb71

Observation 351f17d5-636b-4b67-badf-48940d658d70 · outbound

This paper cites Charged particle motion and acceleration around Kerr-MOG black hole.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Charged particle motion and acceleration around Kerr-MOG black hole

Reference 56

Resolution
verified exact
local_arxiv, observed 2026-08-11T20:05:15.462256Z

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=2026-08-11T20:05:14.575204Z digest=sha256:a052cb8ae85d077213e325b5b2cab0b32de3efc8fbeb6adf23d78e6cb10fa7b4

Observation 9ba6b80f-d04e-4c36-a452-99a32aad67dc · outbound

This paper cites Black hole in a uniform magnetic field,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Black hole in a uniform magnetic field,

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.581835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.581835Z digest=sha256:8ee78da1ccbfb0d286a8a9b599cbd23d0e934eb90ac04927b029ef5cfd860236

Observation 34d76cfc-ed47-4781-8a0b-f0d040090f79 · outbound

This paper cites On correctors of symplectic integrators,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms On correctors of symplectic integrators,

Reference 58

Resolution
verified exact
doi, observed 2026-08-11T20:05:14.795996Z

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=2026-08-11T20:05:14.588572Z digest=sha256:d3ff848becccc20b32c1e54427771fb48cd4178a9f02f8f84f1a1f8ee7ee7cca

Observation 5a876fe3-092b-4f55-9f90-1a5a992e8545 · outbound

This paper cites Symplectic Integration of Hamiltonian Systems,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Symplectic Integration of Hamiltonian Systems,

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.597240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.597240Z digest=sha256:cbf3ed0e3b24dfc65469eda76a19853c66955953b33290d90a0f2fc863e8d45b

Observation b361190e-5aa7-4158-81cb-6c3e477e0c98 · outbound

This paper cites Construction of higher order symplectic integrators,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Construction of higher order symplectic integrators,

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.603091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.603091Z digest=sha256:62d6f7861007e7aa9846695c70e3ef1af31320a4d18c2325a3d995712fe17317

Observation 33da1d79-2294-4bfe-a149-5aa01b865648 · outbound

This paper cites A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes,

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.612320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.612320Z digest=sha256:0b0c3c5e7e4fd40d71b192ffd10ef3d4086e28233b2051ac5862121c9b8016cc

Observation a0dd0505-67b8-4469-8e20-d2cb5f879ccf · outbound

This paper cites Chaotic dynamics of string around charged black brane with hyperscaling violation.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Chaotic dynamics of string around charged black brane with hyperscaling violation

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.619479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.619479Z digest=sha256:7ad178634953fdf15ff37bf916005ef20510735f71fef4b90f06e700180c10e9

Observation 8723c93e-1e3f-4072-ac8f-8ad8c7820fa7 · outbound

This paper cites On the Structure of Symplectic Mappings. The Fast Lya- punov Indicator: a Very Sensitive Tool,.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms On the Structure of Symplectic Mappings. The Fast Lya- punov Indicator: a Very Sensitive Tool,

Reference 63

Resolution
verified exact
doi, observed 2026-08-11T20:05:14.702483Z

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=2026-08-11T20:05:14.626733Z digest=sha256:f0b16376ef4f9b3779282e07e395f141db7177df8a6d8653c3a34c30e502b4f9

Observation faac65a7-5629-45cd-8907-744645bfd090 · outbound

This paper cites Lyapunov indices with two nearby trajectories in a curved spacetime.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Lyapunov indices with two nearby trajectories in a curved spacetime

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-11T20:05:14.635595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:05:14.635595Z digest=sha256:569abbcdb0aa3cf38e47c946b71c98e7c647c92f05fe7f3b186f0431f3ae7ed8

Observation ff7b37ba-4571-4aea-992b-139d9b97c990 · outbound

This paper cites Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability into the light of Kolmogorov and Nekhoroshev theories.

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability into the light of Kolmogorov and Nekhoroshev theories

Reference 65

Resolution
verified exact
local_arxiv, observed 2026-08-11T20:05:15.377431Z

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=2026-08-11T20:05:14.642082Z digest=sha256:350ebeda797b8cdfb88ea5003c3e31c0340f7b150fe546e8fd71c9201289984d

Pith citing papers

Observation 3743890d-914a-4981-85e7-1888de78503c · inbound

Rational Orbits and Gravitational Waves in Static Spherical Spacetimes: An Open-Source Numerical Framework cites this paper.

Rational Orbits and Gravitational Waves in Static Spherical Spacetimes: An Open-Source Numerical Framework Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-07-04T06:59:37.335069Z

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=2026-06-26T14:02:09.832568Z digest=sha256:23b862ae08bb267e88b834869073ff56ebc35423494a46f79df73dff16857946

Observation 1932112b-7615-4c18-be61-d4fb351cc271 · inbound

Rational Orbits and Gravitational Waves in Static Spherical Spacetimes: An Open-Source Numerical Framework cites this paper.

Rational Orbits and Gravitational Waves in Static Spherical Spacetimes: An Open-Source Numerical Framework Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-02T10:46:52.640436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T10:46:52.640436Z digest=sha256:672eef1a7c679045aa951372efe058d60c1733adefb882ffad260a1159cbd624