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Paper Citation Record · LEDGER

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

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:2104.08222.

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pith.paper-citation-record.v1
2104.08222 v1

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measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:44:23.842455Z

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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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

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

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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T20:06:31.946061Z digest=sha256:2f2bd3d06ee73a72c4eaaf3ddcd3c3309198548fe6f45f99e383d2868149b355

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

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:44:23.842455Z digest=sha256:a0bffac0d99106751a0f50e3435ccd4ddfda4d63246f41fd05eb837bf2ef51f0

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

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

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:39:17.598861Z digest=sha256:897aefd7446ca0a2eeb765a719ae1e6efefebe991b3204b4decf3924e03c9cb7

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

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:31:08.906868Z digest=sha256:30823adbfa0757839757cd7cbf84bb8baad3664fb240997bd526d8c358b21e40

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

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:51:06.221394Z digest=sha256:bf07ba8f642be796954261a07ccd474b2c3d7ba95ddaf90a3944378b065293a0

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

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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 2026-08-08T06:32:00.761636+00:00.

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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

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:09:09.195655Z digest=sha256:1350507c2be859e5fc103bef2e43b2983c4ed71c6c1c88b9fd4af9f1feed6be5

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

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

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T23:08:00.892374Z digest=sha256:cd2f2eac097dfb62b137232b89f3b620a8c57b67d03257d62d26dac66002469a

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

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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T16:45:09.502002Z digest=sha256:47635748ad0e5d995b3ddeba3869d9b5cced5ef38ccdaaa01cd6c2fa85729394

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T19:13:26.874362Z digest=sha256:3999419dd49f252d56ff27c301d3c7eef49085a287f9f28a6200c352ee7b39cb

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

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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-20T09:19:27.106687Z digest=sha256:55fbf23f2ee1fe70dace55e180b5e3e30cd0995bb2b29ef8c6445a681fdfc39e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T04:30:22.546647Z digest=sha256:a3c88cb2ff75d1cf0feec30cefc46052903d48d3e19dda281f9b9ce8a57faa26

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-01T05:07:33.920347Z digest=sha256:c991a2a14cd6230a4b5abc32e9ba0a082f9f11ea27b7c1383eed7d6e99fa6606

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

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:46:11.304082Z digest=sha256:b62eec19e0f13f0051c5917cec7c3248fb4bbe345bde95e15d17efc5a26a87f8