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Paper Citation Record · LEDGER

Second-order perturbations of the Schwarzschild spacetime: practical, covariant and gauge-invariant formalisms

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2306.17847.

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

pith.paper-citation-record.v1
2306.17847 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:35:06.339741Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T18:50:05.265911Z

Reference resolution

0 of 0 outbound references displayed

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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 1f6e3500-cad6-4c6a-9013-ec8e2396e395 · inbound

Self-force framework for merger-ringdown waveforms cites this paper.

Self-force framework for merger-ringdown waveforms Second-order perturbations of the Schwarzschild spacetime: practical, covariant and gauge-invariant formalisms

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-07T11:35:06.339741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 2d3fd917-6a6e-4e65-8a75-6e0ecfda6a32 · inbound

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring cites this paper.

Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Second-order perturbations of the Schwarzschild spacetime: practical, covariant and gauge-invariant formalisms

Reference 142

Resolution
unresolved
no resolver link, observed 2026-08-05T10:55:30.231628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:55:30.231628Z digest=sha256:bc3b6f739658b2a9b9f3cd21bd1d407ebe9e318c89467cf260480cb7f530909b

Observation c5eb324c-e2d1-4563-a064-f3dc03094c5d · 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 Second-order perturbations of the Schwarzschild spacetime: practical, covariant and gauge-invariant formalisms

Reference 45

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verified exact
arxiv_id, observed 2026-05-18T05:55:57.234277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T05:52:48.547252Z digest=sha256:70cc6b3616b6b9a9aadc7e0b9f20080b42c7cb870feeebbd84c19344df7d64ab

Observation 49a94bac-3809-499c-a5e5-a573600f3695 · inbound

Unifying the Regge-Wheeler-Zerilli and Bardeen-Press-Teukolsky formalisms on spherical backgrounds cites this paper.

Unifying the Regge-Wheeler-Zerilli and Bardeen-Press-Teukolsky formalisms on spherical backgrounds Second-order perturbations of the Schwarzschild spacetime: practical, covariant and gauge-invariant formalisms

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-09T06:05:35.925486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-08T18:56:09.664711Z digest=sha256:5a27ce5a803ec1aa98ff6e232b035d4727e8686b2720fcc5d6b7f44555bfd94f

Observation e8698160-100d-4a55-ab00-b336a94e8cd1 · inbound

Self-force calculations with numerical relativity methods cites this paper.

Self-force calculations with numerical relativity methods Second-order perturbations of the Schwarzschild spacetime: practical, covariant and gauge-invariant formalisms

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-07-02T10:06:51.886160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation ef86b271-8142-4460-9080-a444e2d80b8b · inbound

Black Hole Ringdown Nonlinearities in the Large-D Limit cites this paper.

Black Hole Ringdown Nonlinearities in the Large-D Limit Second-order perturbations of the Schwarzschild spacetime: practical, covariant and gauge-invariant formalisms

Reference 34

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T11:59:51.775977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T07:18:12.945787Z digest=sha256:bc8244fe0ce32ac37aa3f922d945588cea03e1fb111b42b4041e8b1fefc72508

Observation 7c2a4b4f-9aba-47ae-9fe6-e7c4a9a28411 · inbound

The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory cites this paper.

The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory Second-order perturbations of the Schwarzschild spacetime: practical, covariant and gauge-invariant formalisms

Reference 59

Resolution
verified exact
arxiv_id, observed 2026-07-04T18:50:05.269582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-25T22:19:51.278679Z digest=sha256:b3f8c4803982b4bcb60dcad471f5a66f896b4d2489007fa7f55c841feb0c2376