Paper Citation Record · LEDGER

Hamilton-Jacobi equation for spinning particles near black holes

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 18 inbound Pith citation observations for arXiv:1903.03651.

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

pith.paper-citation-record.v1
1903.03651 v2

Coverage vector

measured 0 of 0 reference resolution

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Source: paper_references, paper_reference_links

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 18 of 18 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:24:21.497532Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T21:00:09.688309Z

Reference resolution

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 6a45cc96-58f8-41a3-aff8-48c7d3fcf04f · inbound

Probing the Nature of Black Holes: Deep in the mHz Gravitational-Wave Sky cites this paper.

Probing the Nature of Black Holes: Deep in the mHz Gravitational-Wave Sky Hamilton-Jacobi equation for spinning particles near black holes

Reference 224

Resolution: unresolved; no resolver link, observed 2026-08-14T10:24:21.497532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04c543bf-a79d-45fb-886a-b82da9e51d16 · inbound

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order cites this paper.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Hamilton-Jacobi equation for spinning particles near black holes

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-05-24T12:39:28.960777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 55d9e10c-f985-4966-b30c-0ba8d2bed275 · inbound

Waveform Modelling for the Laser Interferometer Space Antenna cites this paper.

Waveform Modelling for the Laser Interferometer Space Antenna Hamilton-Jacobi equation for spinning particles near black holes

Reference 85

Resolution: verified exact; arxiv_id, observed 2026-05-24T05:23:57.809818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 67c3e2d1-41c4-4a63-87c5-a4952ae0abc8 · inbound

Actions of spinning compact binaries: Spinning particle in Kerr matched to dynamics at 1.5 post-Newtonian order cites this paper.

Actions of spinning compact binaries: Spinning particle in Kerr matched to dynamics at 1.5 post-Newtonian order Hamilton-Jacobi equation for spinning particles near black holes

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-12T20:30:53.809845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 624739f1-a6e1-45ad-804b-2bb8965b7756 · inbound

Analytic Solution for the Motion of Spinning Particles in Kerr Space-Time cites this paper.

Analytic Solution for the Motion of Spinning Particles in Kerr Space-Time Hamilton-Jacobi equation for spinning particles near black holes

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T12:57:50.154244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9cefad6-81ce-42e0-aa3a-8b8d670d3c7a · inbound

Secondary spins of extreme mass ratio inspirals: A probe to the formation channels cites this paper.

Secondary spins of extreme mass ratio inspirals: A probe to the formation channels Hamilton-Jacobi equation for spinning particles near black holes

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-09T17:33:37.841635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4da37718-5239-4014-acd1-44ff8505bf55 · inbound

Unexpected Symmetries of Kerr Black Hole Scattering cites this paper.

Unexpected Symmetries of Kerr Black Hole Scattering Hamilton-Jacobi equation for spinning particles near black holes

Reference 117

Resolution: verified exact; arxiv_id, observed 2026-05-18T23:12:53.109914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9dc64e2f-ac03-4f11-a295-bb015bde0ba0 · inbound

Classical eikonal in relativistic scattering cites this paper.

Classical eikonal in relativistic scattering Hamilton-Jacobi equation for spinning particles near black holes

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T12:07:58.725669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1e5a938-4ac5-4edc-9077-603edb6e72b5 · inbound

Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary cites this paper.

Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary Hamilton-Jacobi equation for spinning particles near black holes

Reference 82

Resolution: verified exact; arxiv_id, observed 2026-05-18T05:55:57.456907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 21ca7cf1-1f69-440e-a3cb-906fa178a17c · inbound

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown cites this paper.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Hamilton-Jacobi equation for spinning particles near black holes

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.153235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33f6a4f9-a27c-4992-a374-21b95acad14f · inbound

Astrophysically Realistic Secondary Spins Trigger Chaos in Schwarzschild Spacetime and Discernible Gravitational Wave Signatures cites this paper.

Astrophysically Realistic Secondary Spins Trigger Chaos in Schwarzschild Spacetime and Discernible Gravitational Wave Signatures Hamilton-Jacobi equation for spinning particles near black holes

Reference 31

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T00:24:47.334882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4b0dd32b-2077-4695-b109-21c016672a66 · inbound

On the integrability of root-Kerr probe dynamics cites this paper.

On the integrability of root-Kerr probe dynamics Hamilton-Jacobi equation for spinning particles near black holes

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-05-12T09:16:25.948563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 43db095b-f3bc-4bad-b5c2-5239ba71aa5b · inbound

On the integrability of root-Kerr probe dynamics cites this paper.

On the integrability of root-Kerr probe dynamics Hamilton-Jacobi equation for spinning particles near black holes

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-05-12T00:56:14.208176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7cedabdb-6d6c-4901-8f08-b547fbd4f196 · inbound

Spin-Hair Induced Chaos of Spinning Test Particles in Rotating Hairy Black Holes cites this paper.

Spin-Hair Induced Chaos of Spinning Test Particles in Rotating Hairy Black Holes Hamilton-Jacobi equation for spinning particles near black holes

Reference 64

Resolution: verified exact; arxiv_id, observed 2026-05-20T04:53:04.802580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 783436eb-03f8-41f2-ab69-dceca2ee1148 · inbound

Spinning test particles in the spacetime of a global monopole cites this paper.

Spinning test particles in the spacetime of a global monopole Hamilton-Jacobi equation for spinning particles near black holes

Reference 64

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:58:43.206061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 15009fe6-f686-4e76-889c-8b246fda2fe9 · inbound

Separability of the motion of spinning test particles in curved space-time cites this paper.

Separability of the motion of spinning test particles in curved space-time Hamilton-Jacobi equation for spinning particles near black holes

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-04T21:00:09.690235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e9d0a734-1472-4653-a7e2-68dc9396f78c · inbound

Quadrupole and quadratic-in-spin effects in quasicircular, spinning, asymmetric binaries cites this paper.

Quadrupole and quadratic-in-spin effects in quasicircular, spinning, asymmetric binaries Hamilton-Jacobi equation for spinning particles near black holes

Reference 76

Resolution: verified exact; arxiv_id, observed 2026-06-30T09:04:32.489820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9b8dc104-4c10-4d57-801a-be0a27e8f452 · inbound

Quadrupolar tidal effects destroy the integrability of black hole geodesics: analytic proof and numerical evidence of chaos cites this paper.

Quadrupolar tidal effects destroy the integrability of black hole geodesics: analytic proof and numerical evidence of chaos Hamilton-Jacobi equation for spinning particles near black holes

Reference 48

Resolution: unresolved; no resolver link, observed 2026-07-30T11:32:37.872129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.