Paper Citation Record · LEDGER

A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:0804.3529.

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pith.paper-citation-record.v1
0804.3529 v1

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measured 0 of 0 reference resolution

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measured 14 of 14 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:28:10.693650Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-18T05:55:57.119194Z

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Outbound references

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Pith citing papers

Observation 7f2050c3-b918-442d-9ad9-7731f66709b8 · inbound

Gauge-fixing for the completion problem of reconstructed metric perturbations of a Kerr spacetime cites this paper.

Gauge-fixing for the completion problem of reconstructed metric perturbations of a Kerr spacetime A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T14:28:10.693650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3bc31f3-e1b2-47d9-9038-d6707c01053a · inbound

Second-order self-force calculation of the gravitational binding energy in compact binaries cites this paper.

Second-order self-force calculation of the gravitational binding energy in compact binaries A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-14T12:24:50.149532Z

Source-reported events for the cited work

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Observation 2b6a0513-b389-4006-9294-b37e813a3853 · inbound

Novel approach to binary dynamics: application to the fifth post-Newtonian level cites this paper.

Novel approach to binary dynamics: application to the fifth post-Newtonian level A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-14T04:57:48.089803Z

Source-reported events for the cited work

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Observation d0b767cd-6a2f-4115-aab6-e54c6527aea3 · inbound

Charged Binaries in Gravitational Tides cites this paper.

Charged Binaries in Gravitational Tides A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-12T22:03:05.002535Z

Source-reported events for the cited work

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Observation 0f2af97c-d182-4552-af10-47b863e33326 · inbound

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit cites this paper.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-06T18:38:46.098926Z

Source-reported events for the cited work

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Observation 963d357c-549f-4287-8693-4950b81fb931 · inbound

Post-adiabatic dynamics and waveform generation in self-force theory: an invariant pseudo-Hamiltonian framework cites this paper.

Post-adiabatic dynamics and waveform generation in self-force theory: an invariant pseudo-Hamiltonian framework A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 136

Resolution: unresolved; no resolver link, observed 2026-08-06T18:34:53.558443Z

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Unavailable: canonical work link unavailable.

Observation 1d3eaccf-c919-49cf-9275-66d559ab0c17 · 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 A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 107

Resolution: verified exact; local_arxiv, observed 2026-05-18T05:55:57.121240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 705fd7b0-eb8d-4396-863f-3c252ba7f474 · inbound

Constants of motion and fundamental frequencies for elliptic orbits at fourth post-Newtonian order cites this paper.

Constants of motion and fundamental frequencies for elliptic orbits at fourth post-Newtonian order A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 91

Resolution: verified exact; local_arxiv, observed 2026-05-17T22:02:08.323434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bb67043a-a31f-4bea-af2f-2ca87cb21e96 · inbound

Gravitational radiation from hyperbolic orbits: comparison between self-force, post-Minkowskian, post-Newtonian, and numerical relativity results cites this paper.

Gravitational radiation from hyperbolic orbits: comparison between self-force, post-Minkowskian, post-Newtonian, and numerical relativity results A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-05-17T02:13:52.492742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c19b0e79-9120-41ad-9467-291f496a91e4 · inbound

Tidal perturbations of an extreme mass ratio inspiral around a Kerr black hole cites this paper.

Tidal perturbations of an extreme mass ratio inspiral around a Kerr black hole A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:50.125326Z

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Unavailable: canonical work link unavailable.

Observation e94864d5-6118-416f-9245-98de2b18830f · inbound

All-order structure of static gravitational interactions and the seventh post-Newtonian potential cites this paper.

All-order structure of static gravitational interactions and the seventh post-Newtonian potential A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 71

Resolution: verified exact; arxiv_id, observed 2026-05-11T11:41:02.983681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f1c69e04-8d15-4fcb-97a3-a3ffa292999d · inbound

High-Post-Newtonian-Order Dynamics Induced by Tail-of-Tail Interactions: The Non-Geodesic Terms cites this paper.

High-Post-Newtonian-Order Dynamics Induced by Tail-of-Tail Interactions: The Non-Geodesic Terms A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 128

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:07.814879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c7e0ef7-677f-42ce-a329-432cbc847dc0 · inbound

High-Post-Newtonian-Order Dynamics Induced by Tail-of-Tail Interactions: The Non-Geodesic Terms cites this paper.

High-Post-Newtonian-Order Dynamics Induced by Tail-of-Tail Interactions: The Non-Geodesic Terms A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 128

Resolution: unresolved; no resolver link, observed 2026-08-07T00:15:14.501125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af0f17b6-3e37-4457-9a76-bc8777481c94 · inbound

Innermost stable circular orbit (ISCO) of arbitrary-mass compact binaries with spins at the fourth post-Newtonian order cites this paper.

Innermost stable circular orbit (ISCO) of arbitrary-mass compact binaries with spins at the fourth post-Newtonian order A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-11T00:27:05.020724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.