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Paper Citation Record · LEDGER

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics

As of 10 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 3 inbound Pith citation observations for arXiv:2512.10008.

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

pith.paper-citation-record.v1
2512.10008 v3

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T17:23:50.748618Z

measured 21 of 21 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T07:22:10.545879Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T10:11:28.340476Z

Reference resolution

18 of 18 outbound references displayed

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External citation measurements

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Outbound references

Observation 66fc86ca-624d-46ff-8c7a-8614b6a5dd48 · outbound

This paper cites an unresolved cited work.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics Unresolved cited work

Reference 1

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no resolver link, observed 2026-08-03T17:23:49.495087Z

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source=pdf_text observed=2026-08-03T17:23:49.495087Z digest=sha256:d32077ab644c4f3993382410ebf42b03e2a4edf14ddb7139b46bb9d6311ebc28

Observation 75ab0a9c-bdf8-4e70-a5e9-6be7d8bfec76 · outbound

This paper cites Israel,Third Law of Black-Hole Dynamics: A Formulation and Proof,Phys.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics Israel,Third Law of Black-Hole Dynamics: A Formulation and Proof,Phys

Reference 2

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no resolver link, observed 2026-08-03T17:23:49.562991Z

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source=pdf_text observed=2026-08-03T17:23:49.562991Z digest=sha256:909dacdd0f31633dde54abb3825a456481c55c0f46b85def5be7f6262763e8fd

Observation 1bd9a56f-5b83-44a1-bb2e-4d3f41cfe377 · outbound

This paper cites Gravitational collapse to extremal black holes and the third law of black hole thermodynamics.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics Gravitational collapse to extremal black holes and the third law of black hole thermodynamics

Reference 3

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no resolver link, observed 2026-08-03T17:23:49.623773Z

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source=pdf_text observed=2026-08-03T17:23:49.623773Z digest=sha256:32d07b14bc4a50cdf98e0c0af996ce0cfb74bc17a8f20add830e11a0cf61da15

Observation eabf6741-cad8-41d6-bdd1-d938be9bc099 · outbound

This paper cites Extremal black hole formation as a critical phenomenon.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics Extremal black hole formation as a critical phenomenon

Reference 4

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no resolver link, observed 2026-08-03T17:23:49.668194Z

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source=pdf_text observed=2026-08-03T17:23:49.668194Z digest=sha256:7bb3689cb0f8fd3a807ef0d1ea41f9c07e40ca90b4add4305f95aebf6eba1c20

Observation a356dc00-a95c-4bd1-a6d0-7983e14e10bf · outbound

This paper cites The characteristic gluing problem for the Einstein vacuum equations. Linear and non-linear analysis.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics The characteristic gluing problem for the Einstein vacuum equations. Linear and non-linear analysis

Reference 5

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no resolver link, observed 2026-08-03T17:23:49.729309Z

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source=pdf_text observed=2026-08-03T17:23:49.729309Z digest=sha256:9bcd5d17fed14c7a5bf88017411f46a40f5e648ec01b6e62f56632950e416f02

Observation 754a90b9-2404-4cb8-84fb-161091caf34e · outbound

This paper cites Characteristic gluing to the Kerr family and application to spacelike gluing.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics Characteristic gluing to the Kerr family and application to spacelike gluing

Reference 6

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no resolver link, observed 2026-08-03T17:23:49.801861Z

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source=pdf_text observed=2026-08-03T17:23:49.801861Z digest=sha256:d4138b79f08bf88ed5ae1d650a0fab017bfec9e83deffc6d99e116992da0a766

Observation 2f5afca9-7fc0-460c-9b9e-930a9a46c2f3 · outbound

This paper cites The characteristic gluing problem for the Einstein equations and applications.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics The characteristic gluing problem for the Einstein equations and applications

Reference 7

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no resolver link, observed 2026-08-03T17:23:49.912128Z

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source=pdf_text observed=2026-08-03T17:23:49.912128Z digest=sha256:6ee7a0ce8c1c4aa430addcdbe43755ec5cc40858d49b1fe9d0a09d960f12e7fb

Observation 14ad0634-b074-4929-aa86-1d09dd1fcd9d · outbound

This paper cites Obstruction-free gluing for the Einstein equations.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics Obstruction-free gluing for the Einstein equations

Reference 8

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no resolver link, observed 2026-08-03T17:23:49.975675Z

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source=pdf_text observed=2026-08-03T17:23:49.975675Z digest=sha256:098911a5f503d008028645d211dcb40bdd88b24269b2577f44d91ded50de3d17

Observation 730a13be-d9ca-4741-b566-5aa393dfbdb3 · outbound

This paper cites an unresolved cited work.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics Unresolved cited work

Reference 9

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no resolver link, observed 2026-08-03T17:23:50.018166Z

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source=pdf_text observed=2026-08-03T17:23:50.018166Z digest=sha256:a599d3108172b77c47a0f0b5dbec1670fc8c42c64f682d93ade717d0f2225767

Observation 32a0c72d-04ed-4ad4-be5b-ce338a353fdd · outbound

This paper cites Gundlach,Understanding critical collapse of a scalar field,Physical Review D55(1997) 695–713.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics Gundlach,Understanding critical collapse of a scalar field,Physical Review D55(1997) 695–713

Reference 10

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no resolver link, observed 2026-08-03T17:23:50.120672Z

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source=pdf_text observed=2026-08-03T17:23:50.120672Z digest=sha256:b78e3be8189b12348238974721a07e3374127a2949236080cfd2fb4a9a821fe2

Observation 8d596bc0-7c8f-4e69-9544-deea7ed6d85f · outbound

This paper cites Gundlach,Critical phenomena in gravitational collapse,Living Reviews in Relativity10(2007).

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics Gundlach,Critical phenomena in gravitational collapse,Living Reviews in Relativity10(2007)

Reference 11

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no resolver link, observed 2026-08-03T17:23:50.168042Z

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source=pdf_text observed=2026-08-03T17:23:50.168042Z digest=sha256:ce3096e299f93bd7fd72162874435a492c5eec5dadc9605e07bc9ba61c1c9edb

Observation 4676d885-4478-4963-8aa4-61855102187a · outbound

This paper cites A third law of black hole mechanics for supersymmetric black holes and a quasi-local mass-charge inequality.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics A third law of black hole mechanics for supersymmetric black holes and a quasi-local mass-charge inequality

Reference 12

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no resolver link, observed 2026-08-03T17:23:50.231530Z

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source=pdf_text observed=2026-08-03T17:23:50.231530Z digest=sha256:0df3a15bbd233adc60d2b7d0044f7b135f9d112ffdca6f4d89a8a9ef498e0c22

Observation 3d38a738-3bb7-4878-beeb-2f2bda8c373c · outbound

This paper cites On the third law of black hole mechanics for supersymmetric black holes.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics On the third law of black hole mechanics for supersymmetric black holes

Reference 13

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no resolver link, observed 2026-08-03T17:23:50.326192Z

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source=pdf_text observed=2026-08-03T17:23:50.326192Z digest=sha256:82dabf77fe85d86368fb048ede3a323b19d0485578729e3061bbe2fa2f2024c0

Observation 6ba37964-3241-44d1-bb91-19a7dedc0589 · outbound

This paper cites On the Local Existence for the Characteristic Initial Value Problem in General Relativity.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics On the Local Existence for the Characteristic Initial Value Problem in General Relativity

Reference 14

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source=pdf_text observed=2026-08-03T17:23:50.414629Z digest=sha256:2901213293ca6b2f83b8af45ede067550465582b67d5091426d32dc8d535ee67

Observation 5f959d4b-676a-4f75-aed9-7dd7f2e08711 · outbound

This paper cites Strong cosmic censorship for the spherically symmetric Einstein-Maxwell-charged-Klein-Gordon system with positive $\Lambda$: stability of the Cauchy horizon and $H^1$ extensions.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics Strong cosmic censorship for the spherically symmetric Einstein-Maxwell-charged-Klein-Gordon system with positive $\Lambda$: stability of the Cauchy horizon and $H^1$ extensions

Reference 15

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source=pdf_text observed=2026-08-03T17:23:50.455567Z digest=sha256:e8152c15f83f423c8ed37cee3ac035332484d5d8fc6bd6805afb9802fc4c0381

Observation a41ad5a1-0064-4df9-afd3-69482b10a843 · outbound

This paper cites Dafermos,The stability problem for extremal black holes,Gen.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics Dafermos,The stability problem for extremal black holes,Gen

Reference 16

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source=pdf_text observed=2026-08-03T17:23:50.531744Z digest=sha256:643c888f895b01691aa96aaa87a37a73567a3ea73c42fc7a8d2b8ff69b8a799d

Observation b436fa43-3174-4796-a63d-2cdd35ab2709 · outbound

This paper cites an unresolved cited work.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics Unresolved cited work

Reference 17

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Observation d74bf603-b54c-4357-affa-48a2dfd29035 · outbound

This paper cites $C^{k}$-regular extremal black holes in maximally-symmetric spacetime and the third law of black hole thermodynamics.

Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics $C^{k}$-regular extremal black holes in maximally-symmetric spacetime and the third law of black hole thermodynamics

Reference 18

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no resolver link, observed 2026-08-03T17:23:50.748618Z

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source=pdf_text observed=2026-08-03T17:23:50.748618Z digest=sha256:1956cc71e6860363f4539bf279adb25451d94024ce88f964c7259231dd412ded

Pith citing papers

Observation 55a34b9e-099f-4def-8a8f-1c4518188787 · inbound

Violation of the third law of black hole mechanics in vacuum gravity cites this paper.

Violation of the third law of black hole mechanics in vacuum gravity Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics

Reference 12

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no resolver link, observed 2026-08-03T07:22:10.545879Z

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source=pdf_text observed=2026-08-03T07:22:10.545879Z digest=sha256:a3c13515df011a5b40731058e177846bf0dc10f2ac4663725448defc7a2d1ff2

Observation c73d7eaa-a572-4a6b-9a1c-1dbb4c1405d3 · inbound

Near--extremal gravitational collapse in 4+1 dimensions: Schwarzschild--de--Sitter space cites this paper.

Near--extremal gravitational collapse in 4+1 dimensions: Schwarzschild--de--Sitter space Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics

Reference 12

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verified exact
arxiv_id, observed 2026-07-13T02:17:15.788176Z

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.

source=pdf_text observed=2026-05-07T07:15:46.037457Z digest=sha256:ba493a9198b1acee69721b95c6b5043ba758c72e304a5b42e09d63cd8f25dca8

Observation 7d0077f1-b947-4b20-a806-4cadbb360290 · inbound

Near--extremal gravitational collapse in 4+1 dimensions: Schwarzschild--de--Sitter space cites this paper.

Near--extremal gravitational collapse in 4+1 dimensions: Schwarzschild--de--Sitter space Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics

Reference 12

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no resolver link, observed 2026-08-02T15:13:27.777591Z

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source=pdf_text observed=2026-08-02T15:13:27.777591Z digest=sha256:82b29aebea60746ccb95765bb4969a534c2a516076c827268625a60fbce1b009