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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

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 2026-08-02T10:46:52.640436Z

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.

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

source=pdf_text observed=2026-08-11T20:05:14.191834Z digest=sha256:00ed2b9b35066f65d142ab9b8df312e1f2e66aee8b9e7dc8a51c6116966118c0

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:a177c237f8c3b6115cb50aea205dc180b3bea9c959b0c1b281acba2b4245dbe1

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=sha256:7d1f24ee595dfe94408c3a0251dce7f8c3db2831f9b0a4ccfa43c5df6e2ce370

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:f763a738af4a558d6ac8c256627c343795d8f04f0a35bf93315e7a48543284e6

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=sha256:9f3b4599d49e98aa5ee7c322632199474b6bfd46ebb54d8c67964ad23b2936e9

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=sha256:320e980ece25308dcd401b2e30d18b1318a9549e5597049cf8bb1a3540c2081b

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=sha256:59034cfafd85fe2962b9cfd9cdb336ebbce7ca0a06b640b03aa4c81f162657d9

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=sha256:498f45d3cb855fd76ec005ba8cc52a7e5aace0eae2194945d88c98a8729842a9

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=sha256:8857bd8ab4f17ddcb67af6845f6a3a1da50ace3897f90b5e5d801b3506dbcbb4

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:de2d5a70468a709e55a8e0de5d0875861687fe902107f981c8fef4f1c0bced19

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=sha256:2dfd3b760cc48d4a763fa076cf4b9c0ae4cee6efed9bf1a90356ac48708acc2d

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:bfd9c42098f5fbf458d259f091a9f14992e55672ff131840ec1d381223fd5350

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=sha256:0f649787f8bd83e6d0688d704f61b7568e8bb844dcf64e0302034fa6ce9b1b34

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:bb44292f716114a70b1515c9cead2ec9eb740078645d370a6b59f3505fa9f59b

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:fff5fc767f9247427f91b8f4a7bd1abbcca08c6e34138957aa8ca0929bf57c54

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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source=pdf_text observed=2026-08-11T20:05:14.310906Z digest=sha256:aaa4c651c74875ec5364ffd3cb66e187a943b5946551834ebe9c9a5968954ba9

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=sha256:496cfd97c61c2dc382358c9b89709996df11f5b50c4c832f5dec4b3fcec6926a

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=sha256:56d93ef6adf97fdf11f0c7211addaad2767697222a213b7a7fe0aae18d8a6ff4

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:ba2c0aa399df95899bb4959d7e70b9599dc03385f6e941969d566485bb057c0b

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

Resolution
verified exact
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:fcb59ca7db74eea072c0a694d4161c57f4d3190d5818e6ab6ff595ddd5e57506

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=sha256:85ddce2b3b9a11dfca21df9a0b0d61ac63b8e6d75d58b9f8d8036bed0a99066e

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=sha256:2357d4cd6ee560062db6a7f2b2cf307393f159f0f6073e163167ced4716b2e1a

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:a015954258d1e8f85335b977a371a54d9074a506723d57db7ea0c8eb8d772dcc

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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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=sha256:06b7dcb33d29e758c994db544e1d099520c060f2a4e3756da446d7a62caae3c8

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=sha256:05fe855bbc48c72ff7d9d4b2678fd57e067517b074c15dbda4f4e72cc84d6bf1

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=sha256:586ab5d0e0a41115778270fd065f11adaae217a68ef693afa903c6bf43e69884

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:fa662b3c4229a8ae4fcb78b60bc0877612d1bb416ec6638460240ddf154667b4

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:fbba711901783b228b98b3018644235b5f5282d291eab178afa3d77df85d2c52

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:ab6249c4d0793bdb5e3ed83016fc4362b93da7b403f63a962abf9998d85b3a0b

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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source=pdf_text observed=2026-08-11T20:05:14.411112Z digest=sha256:5763f3b9512564056d90f99d4d7663e78838561fe04b841709c2beeb709422db

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=sha256:543457c0b9374a4f741defef12abd4d479a10b70daccac4b8addf2aa7a887f2c

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=sha256:71a706cf7922ca09c86b5db5af556a41e53a4729d940457ddc524696ee4a8b03

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

Resolution
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=sha256:6a74b349d31e8ec8774717da9a939389f46eeb03f421e7ae50b6b3256d24501c

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=sha256:7e10b5e9da324a6dff67df5e2dd6beefbe07b0736372a0d8a042f18aa3d1b982

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:a52a7634d987c5a8a251e41b819c9f4781b5e870c9e8e5574bb00a28bf57ba76

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:e11783b64e236356a5268c70a6de24146ca13432e5138a8e0b7bf657666c58c6

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=sha256:7f8d05ac9d15814be2c72bfeb002447759b5d1c49572edec7e116e1fed6ffdf4

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:fc8ad29ab08623d0b581fd8c2e68c40f14687b2b64b5451b1537fc3c8a8f80e4

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=sha256:1090602e4df774bf68318f95b0563c2e3507421cd118903ebc5601a5e12d952b

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:c8cbd3674bab7252ffc604434a3eb5f7ec78642f2eac5ebe30c8f298773fcdf3

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=sha256:616ee7d61bba2083afdd22b041525d5c3e4cc6cac929f4838c3d2024349b9268

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=sha256:6fd62cc32c698cf618535ed9673e2bb01f9909327f1a0b6e0d4652b18a721442

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=sha256:5d6d164aa5960c6f8a2c5ea144f05b00fa07824e379a289fe0cda68a619fd751

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:bb7d93ef9c6715804d4549aacdd5f54ea7a75e16eabf09a2865a50474a847338

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=sha256:0df91c8f5cdc3e37807b95d7a6a523aa2183c220826bc2ae5be1f8e30b4b7b62

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:e1b8bb6856b26db8e6c86ac9a9da313737cfb10b7a937e8766b526555d0462e7

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:e82f9c08bb78131699f10279009a57b17b9a497cadcd31b1b015c0707e9a64c4

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=sha256:5bf3e8092f9a0a61588926c04417c69a6bbd35d477d785f8be048f18f195e1fa

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=sha256:5de516a8daad01a1015dc8cb1e43b74d0a4d9232db0808c40f443df801f9b95c

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=sha256:5940c33e7228eb16bb65d2ede6204aaaba089447f7298b086c7bca80e5440277

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=sha256:10d408ef9cacc59f6810f31b3da41d487653499b3bb09e8beffa807387daf447

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:d6f7cb5ed4d53af8543074dd1c010283d0dac86c01789bdc7b14bbe8d538d765

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:d51bfe8490f6e27effc05316da5ea87ac3f3cb454b189f18039e7cc12772eff4

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=sha256:235cb492de2154d288021bd2e81006be51020e3ccbab1c4996c202432eab86f9

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=sha256:1e475239b38bbef64746d066e0a7480ac08806022625702c45ebbdf5925d4887

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:bb7a75c43602bed0aa56eb30eb2d11eb9b2cce958dadbb8248df0af1f1341d77

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=sha256:8a240f7dec5a394990d660d839436962424c6f2578102c0763a5885149b0b313

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=sha256:97ce78bc7d0a62c98b69ec7f6f745c85d46e837bb313b79966e348dad0da5239

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=sha256:61f55fa7f46b49a7b808d631aae19edcb003a538526bf10e4b7a8c09bf6ed413

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=sha256:8d68552f5603553201dd5f31973f7e5cd38ec605a4c47422173a74560e2aa9a2

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=sha256:3f8ab17e1047007d2430c9d9d0430b2c4436d89be8db97f217ed7945e6bc45a6

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=sha256:6edde6e6b2bc2c4ed1ee58e1312a1e1ff9a5b6e75dd36eb163e84d7442fdf327

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:bd87a28a1042bd4a13ef353b3a1b2da78a26ccc7a010c01c5356837803afafbe

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:eae85c1fb930d68fcc980d166e8a3a324b6958f1ec549631ae1298bea696f726

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=sha256:7ef23eb2ea06a7e060d483e8d62205d58b419026593c6c1761ab720782fdb974

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=sha256:3fd5999379b5bd72b6f8ec851854768e49b24e3be6f4e7ef59c8bb2c0aae706d