Paper Citation Record · LEDGER

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime

As of 12 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2412.16931.

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

pith.paper-citation-record.v1
2412.16931 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T06:02:32.608988Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

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verified fuzzy0
unresolved17
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malformed identifier5
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2a8f8e75-21d3-4908-adda-266cca3627cd · outbound

This paper cites An Introduction To Chaotic Dynamics Sy stems,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime An Introduction To Chaotic Dynamics Sy stems,

Reference 1

Resolution: verified exact; doi, observed 2026-08-11T06:02:32.861226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3846b92b-8b71-4c11-a4b4-f0b0a283ebb4 · outbound

This paper cites Screen chaotic motion by Shannon entropy in curved spacetimes.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Screen chaotic motion by Shannon entropy in curved spacetimes

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-11T06:02:33.404060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation dc87a19b-f7ac-4121-8577-d7a7f8e49aad · outbound

This paper cites Deterministic nonperiodic ﬂow,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Deterministic nonperiodic ﬂow,

Reference 3

Resolution: verified exact; doi, observed 2026-08-11T06:02:32.844974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation babfcbf7-0efb-40db-9ca0-a4325f42740b · outbound

This paper cites The applicability of the third in tegral of motion: Some numerical experiments,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime The applicability of the third in tegral of motion: Some numerical experiments,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.450175Z

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Unavailable: canonical work link unavailable.

Observation a3a48b84-8c40-4fa0-870d-471ee92dfd57 · outbound

This paper cites Numerical Evidence Th at the Motion of Pluto Is Chaotic,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Numerical Evidence Th at the Motion of Pluto Is Chaotic,

Reference 5

Resolution: verified exact; doi, observed 2026-08-11T06:02:32.819387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 27a78ddc-2c23-4405-961f-fdf8038e9822 · outbound

This paper cites Transition from Regular to Chaotic Circulation in Magnetized Coronae near Compact Objects.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Transition from Regular to Chaotic Circulation in Magnetized Coronae near Compact Objects

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.460021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ce95b61-1efa-42e1-824d-f6e1f688a228 · outbound

This paper cites Chaotic motion of particles in the accelerating and rotating black holes spacetime.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Chaotic motion of particles in the accelerating and rotating black holes spacetime

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.465376Z

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Unavailable: canonical work link unavailable.

Observation a56d7a88-b828-4549-accb-7bc81291c8f4 · outbound

This paper cites Chaotic motion of neutral and charged particles in the magnetized Ernst-Schwarzschild spacetime.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Chaotic motion of neutral and charged particles in the magnetized Ernst-Schwarzschild spacetime

Reference 8

Resolution: malformed identifier; no resolver link, observed 2026-08-11T06:02:32.470978Z

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Observation b4999ffd-109d-4235-ad36-efaa878027b1 · outbound

This paper cites Dynamics of charged particles around a ma gnetically deformed Schwarzschild black hole,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Dynamics of charged particles around a ma gnetically deformed Schwarzschild black hole,

Reference 9

Resolution: malformed identifier; no resolver link, observed 2026-08-11T06:02:32.475945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 345dc478-edc5-42ab-a4c3-b671cd27b818 · outbound

This paper cites Dynamics of charged particles i n the magnetized γ spacetime,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Dynamics of charged particles i n the magnetized γ spacetime,

Reference 10

Resolution: malformed identifier; doi_truncated, observed 2026-08-11T06:02:32.792788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 638a787a-e64a-45cd-b6fd-d9c9b7c671e9 · outbound

This paper cites Applying explicit symp lectic integrator to study chaos of charged particles around magnetized Kerr black hole,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Applying explicit symp lectic integrator to study chaos of charged particles around magnetized Kerr black hole,

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-11T06:02:33.331062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e08cd545-8979-4b2e-9bc3-67b3e82e3651 · outbound

This paper cites Dynam ics of Charged Particles Mov- ing around Kerr Black Hole with Inductive Charge and Externa l Magnetic Field,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Dynam ics of Charged Particles Mov- ing around Kerr Black Hole with Inductive Charge and Externa l Magnetic Field,

Reference 12

Resolution: verified exact; doi, observed 2026-08-11T06:02:32.775517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a845ad32-74c1-428c-833b-3ad58a6b55bb · outbound

This paper cites Chaotic motion of scalar particle coupling to Chern-Simons invariant in the stationary axisymmetric Einstein-Maxwell dilaton black hole spacetime.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Chaotic motion of scalar particle coupling to Chern-Simons invariant in the stationary axisymmetric Einstein-Maxwell dilaton black hole spacetime

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.495262Z

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Unavailable: canonical work link unavailable.

Observation c84cc7d7-ee31-4a73-83f0-0b48e9a1aa19 · outbound

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

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Electromagnetic ﬁeld and chaot ic charged-particle motion around hairy black holes in Horndeski gravity,

Reference 14

Resolution: verified exact; raw_fallback, observed 2026-08-11T06:02:33.229225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 21bbcde8-c5ff-420a-b9c1-e890f882612d · outbound

This paper cites Gravitational-wave glitches in chaotic extreme-mass-ratio inspirals.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Gravitational-wave glitches in chaotic extreme-mass-ratio inspirals

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.504614Z

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Unavailable: canonical work link unavailable.

Observation 9faee932-fe46-4f4b-8389-05593d2a7da4 · outbound

This paper cites A Comparison Bet ween Methods to Compute Lya- punov Exponents,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime A Comparison Bet ween Methods to Compute Lya- punov Exponents,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.509604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c3da8f4-b821-483f-955c-a2aeb448d204 · outbound

This paper cites Computation of Lyapunov Exponents in General Relativity.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Computation of Lyapunov Exponents in General Relativity

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.514472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0a410ea-52dc-439e-8d97-22dd809530ab · outbound

This paper cites Invariant spectra of o rbits in dynamical systems,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Invariant spectra of o rbits in dynamical systems,

Reference 18

Resolution: malformed identifier; no resolver link, observed 2026-08-11T06:02:32.519484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d500107b-b62c-4a6e-b4f1-9ac0691386da · outbound

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

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Lyapunov indices with two nearby trajectories in a curved spacetime

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.524148Z

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Unavailable: canonical work link unavailable.

Observation fea44245-d77d-4289-893a-b66a13670ec4 · outbound

This paper cites Spectral stellar dynamics ,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Spectral stellar dynamics ,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.529954Z

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Unavailable: canonical work link unavailable.

Observation 821b6186-9d4f-42b4-b05f-47230ec0b42b · outbound

This paper cites A mathematical theory of communication ,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime A mathematical theory of communication ,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.534731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 162b40b4-95d5-4247-852a-b4e25539462d · outbound

This paper cites Recurrence plots of dynamical systems,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Recurrence plots of dynamical systems,

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.539420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19352df0-60ca-4c16-9991-0a0f6c40ecdd · outbound

This paper cites On the Implementation of the 0–1 Test for Cha os,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime On the Implementation of the 0–1 Test for Cha os,

Reference 23

Resolution: verified exact; doi, observed 2026-08-11T06:02:32.718315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a9445a8d-bb4c-4430-8b2a-76c2d54eb674 · outbound

This paper cites Thermodynami cs of information,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Thermodynami cs of information,

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.548922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 923a74f2-3095-4031-ba8d-17a880ae4921 · outbound

This paper cites Influence of inhomogeneities on holographic mutual information and butterfly effect.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Influence of inhomogeneities on holographic mutual information and butterfly effect

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-11T06:02:33.009955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 75de0d83-81ea-4725-8c7d-3f1fa4887c62 · outbound

This paper cites Hamilton-Jacobi and Schrodinger separabl e solutions of Einstein’s equations,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Hamilton-Jacobi and Schrodinger separabl e solutions of Einstein’s equations,

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.558533Z

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Unavailable: canonical work link unavailable.

Observation d737b881-370e-49c4-a2e4-ec06f54d193e · outbound

This paper cites Integrability of Kerr-Newman spacetime with cloud strings, quintessence and electromagnetic field.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Integrability of Kerr-Newman spacetime with cloud strings, quintessence and electromagnetic field

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.563281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98acf777-ecad-4713-80f0-8af1f915543c · outbound

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

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Black hole in a uniform magnetic ﬁeld,

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.568527Z

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Unavailable: canonical work link unavailable.

Observation 756a939e-2ab3-44e2-910a-b7cef91c33ab · outbound

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

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Construction of Explicit Symplectic Integrators in General Relativity. I. Schwarzschild Black Holes

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-11T06:02:32.971417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e88b887c-567b-4ef7-b6b1-11ea62f42bc1 · outbound

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

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Construction of explicit symplectic integrators in general relativity. II. Reissner-Nordstrom black holes

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-11T06:02:32.947367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 40baf0d7-f217-402f-8502-61ed293d7ad4 · outbound

This paper cites Construction of Explic it Symplectic Integrators in 15 General Relativity. III. Reissner–Nordstr¨ om-(anti)-deSitter Black Holes,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Construction of Explic it Symplectic Integrators in 15 General Relativity. III. Reissner–Nordstr¨ om-(anti)-deSitter Black Holes,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.584397Z

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Unavailable: canonical work link unavailable.

Observation fafe7943-cd9c-47e0-be90-7d0d4d27c709 · outbound

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

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Construction of explicit symplectic integrators in general relativity. IV. Kerr black holes

Reference 32

Resolution: malformed identifier; no resolver link, observed 2026-08-11T06:02:32.589062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce543520-0fca-4569-8bf0-7f62825b6431 · outbound

This paper cites Explicit symplectic methods in black hole spacetimes.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Explicit symplectic methods in black hole spacetimes

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-11T06:02:32.907058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f41b16d5-5bbf-4d80-800f-79550e366795 · outbound

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

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime A Note on the Construc tion of Explicit Symplectic Integrators for Schwarzschild Spacetimes,

Reference 34

Resolution: verified exact; doi, observed 2026-08-11T06:02:32.659332Z

Source-reported events for the cited work

correction dated 2023-04-26. Source: crossref record 10.3847/1538-4357/acc94c->10.3847/1538-4357/ac497f:correction, observed 2026-07-11T02:56:04.423965+00:00. This notice travels one citation hop only.

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

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

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a6f5c932-69c2-4531-939f-06b6b3419752 · outbound

This paper cites Diﬀerential Geometry and Gener al Relativity. Volume 1,.

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime Diﬀerential Geometry and Gener al Relativity. Volume 1,

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T06:02:32.608988Z

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Pith citing papers

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