Paper Citation Record · LEDGER

The non-linear stability of the Schwarzschild family of black holes

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 15 inbound Pith citation observations for arXiv:2104.08222.

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

pith.paper-citation-record.v1
2104.08222 v1

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measured 0 of 0 reference resolution

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Source: paper_references, paper_reference_links

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 15 of 15 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T19:54:52.130219Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T16:55:50.889872Z

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Outbound references

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Pith citing papers

Observation 1f4d6af3-ed47-41db-8974-979a7d62a356 · inbound

Asymptotically Anti-de Sitter Spherically Symmetric Hairy Black Holes cites this paper.

Asymptotically Anti-de Sitter Spherically Symmetric Hairy Black Holes The non-linear stability of the Schwarzschild family of black holes

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-23T20:08:24.008404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8959d697-c0b1-4d59-9b0d-9faba4ec6665 · inbound

Semilinear wave equations on extremal Reissner-Nordstr\"om black holes revisited cites this paper.

Semilinear wave equations on extremal Reissner-Nordstr\"om black holes revisited The non-linear stability of the Schwarzschild family of black holes

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-09T19:54:52.130219Z

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Observation 31dc3720-c9aa-40bf-8002-eff407d4d876 · inbound

Conservation Laws and Boundedness for Linearised Einstein--Maxwell Equations on the Reissner--Nordstr\"om Black Hole cites this paper.

Conservation Laws and Boundedness for Linearised Einstein--Maxwell Equations on the Reissner--Nordstr\"om Black Hole The non-linear stability of the Schwarzschild family of black holes

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T10:44:23.842455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfa54a2e-6a85-4a33-9da0-17e5a1314802 · inbound

Linear stability of Kerr black holes in the full subextremal range cites this paper.

Linear stability of Kerr black holes in the full subextremal range The non-linear stability of the Schwarzschild family of black holes

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T22:39:17.598861Z

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Observation 79c0537e-92d9-4b60-91f0-3f684c9b9723 · inbound

On Axially Symmetric Perturbations of Kerr Black Hole Spacetimes cites this paper.

On Axially Symmetric Perturbations of Kerr Black Hole Spacetimes The non-linear stability of the Schwarzschild family of black holes

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T18:31:08.906868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78d677d5-16e8-49c2-90ef-e0b1bff4e7e6 · inbound

Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system cites this paper.

Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system The non-linear stability of the Schwarzschild family of black holes

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T10:51:06.221394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce8d497d-4c20-40b4-911d-6b8ce954b229 · inbound

Interior Dynamics of Regular Schwarzschild Black Holes cites this paper.

Interior Dynamics of Regular Schwarzschild Black Holes The non-linear stability of the Schwarzschild family of black holes

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-18T19:56:49.345787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1173c656-96e9-4717-909b-df044f60192b · inbound

On the uniqueness of Kerr-de Sitter spacetimes cites this paper.

On the uniqueness of Kerr-de Sitter spacetimes The non-linear stability of the Schwarzschild family of black holes

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T05:09:09.195655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aec4862c-71be-4424-b44f-ed78e23a6945 · inbound

Elliptic curvature estimates for linearised gravitational perturbations of Kerr in the full sub-extremal range $|a|<M$ cites this paper.

Elliptic curvature estimates for linearised gravitational perturbations of Kerr in the full sub-extremal range $|a|<M$ The non-linear stability of the Schwarzschild family of black holes

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T23:08:00.892374Z

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Unavailable: canonical work link unavailable.

Observation 8c00991e-ea0d-4116-abb0-a25e88923aa1 · inbound

Black Hole Spectroscopy and Tests of General Relativity with GW250114 cites this paper.

Black Hole Spectroscopy and Tests of General Relativity with GW250114 The non-linear stability of the Schwarzschild family of black holes

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-15T16:45:10.219627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2351d86a-f926-42e0-bae7-de897b46c271 · inbound

The formation of a weak null singularity in the interior of generic rotating black holes cites this paper.

The formation of a weak null singularity in the interior of generic rotating black holes The non-linear stability of the Schwarzschild family of black holes

Reference 8

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T23:20:51.249385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f150a8b5-f3af-4750-932b-a09b2166c2a8 · inbound

The spacetime Penrose inequality under a quasi final state hypothesis cites this paper.

The spacetime Penrose inequality under a quasi final state hypothesis The non-linear stability of the Schwarzschild family of black holes

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-20T09:23:10.751904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 26e06a7a-17e2-486a-adf6-f4a7be0e8889 · inbound

Constraint damping on subextremal Kerr spacetimes cites this paper.

Constraint damping on subextremal Kerr spacetimes The non-linear stability of the Schwarzschild family of black holes

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-01T16:55:50.891978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b59b3488-0b65-4e66-860c-92ff0fbe6c8f · inbound

Stability of the Minkowski spacetime in Newman-Unti gauge cites this paper.

Stability of the Minkowski spacetime in Newman-Unti gauge The non-linear stability of the Schwarzschild family of black holes

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-01T10:45:42.951534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b8bed82b-08c8-41dc-b676-293c48ab6fbb · inbound

Precision Ringdown Measurements of Binary Black Hole Remnants cites this paper.

Precision Ringdown Measurements of Binary Black Hole Remnants The non-linear stability of the Schwarzschild family of black holes

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T05:46:11.304082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.