Pith. sign in

Paper Citation Record · LEDGER

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System

As of 14 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2607.07134.

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

pith.paper-citation-record.v1
2607.07134 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-09T19:40:16.095473Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

  • verified exact2
  • verified fuzzy11
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3e777e6c-25bf-46cf-9896-474a9463bbed · outbound

This paper cites Naked singularity censoring with anisotropic apparent horizon.Annals of Mathematics, 201(3):775–908, 2025.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System Naked singularity censoring with anisotropic apparent horizon.Annals of Mathematics, 201(3):775–908, 2025

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T19:46:28.884458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:d7d25ce27500951395e85b6f1a94fadab36e6eac823cb20076df51077e7c68a4

Observation cb190663-93e8-4011-bcc0-cd14fab755fa · outbound

This paper cites The formation of black holes and singularities in spherically symmetric gravitational collapse.Communications on Pure and Applied Mathematics, 44(3):339–373, 1991.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System The formation of black holes and singularities in spherically symmetric gravitational collapse.Communications on Pure and Applied Mathematics, 44(3):339–373, 1991

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T19:46:28.891182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:4953b44bf24ea963b42a7581ed78094512c885c2dd016e95d5929a174e86c60c

Observation b5c047a1-2787-45b4-9418-ce3d2ff55ee8 · outbound

This paper cites Bounded variation solutions of the spherically symmetric Einstein-scalar field equations.Communications on Pure and Applied Mathematics, 46(8):1131–1220, 1993.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System Bounded variation solutions of the spherically symmetric Einstein-scalar field equations.Communications on Pure and Applied Mathematics, 46(8):1131–1220, 1993

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T19:46:28.897894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:c3cfb7f4da56587828692a0ff5b753963c4d792d3c1b4ec722f0982e4eb8fda4

Observation 55306bf3-ffe2-4eea-bf31-b59268d23567 · outbound

This paper cites Examples of naked singularity formation in the gravitational collapse of a scalar field.Annals of Mathematics, 140(3):607–653, 1994.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System Examples of naked singularity formation in the gravitational collapse of a scalar field.Annals of Mathematics, 140(3):607–653, 1994

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T19:46:28.893178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:153339bd0459887dfdfc2eb2e18ef061884675e04b2726bcb2e7e29ca8d22a08

Observation 968c93bc-c765-4253-a885-55808c43951d · outbound

This paper cites The instability of naked singularities in the gravitational collapse of a scalar field.Annals of Mathematics, 149(1):183–217, 1999.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System The instability of naked singularities in the gravitational collapse of a scalar field.Annals of Mathematics, 149(1):183–217, 1999

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T19:46:28.895621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:87c5ef9dd822472b9f720b2a0d26d6c973ccad0842d7b30d34a148efc6480dbe

Observation 1fee4bf2-2822-44ae-9734-aa1ddc840321 · outbound

This paper cites On the global initial value problem and the issue of singularities.Classical and Quantum Gravity, 16(12A):A23–A35, 1999.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System On the global initial value problem and the issue of singularities.Classical and Quantum Gravity, 16(12A):A23–A35, 1999

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T19:46:28.882480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:a3cb09942b3db1c47c6a891d58d814bbb46fdc5acfeb6677275e2e5968a340a5

Observation b011e42d-db5f-4615-80e6-2c3c06318c40 · outbound

This paper cites Instability of spherical naked singularities of a scalar field under gravitational perturbations.Journal of Differential Geometry, 120(1):97–197, 2022.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System Instability of spherical naked singularities of a scalar field under gravitational perturbations.Journal of Differential Geometry, 120(1):97–197, 2022

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T19:46:28.885567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:784aa7a34859a3d42756ea51c6393452bcfda0e4cb06e9eb70e149f656724a38

Observation 3671a891-2874-47da-8d3e-e06d1ed12f08 · outbound

This paper cites On the local existence for the characteristic initial value problem in general relativity.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System On the local existence for the characteristic initial value problem in general relativity

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T19:46:28.880275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:07f8b27efd168eacad06efe76a253fd17e4a1edbb2e575ebb748cbbc7eef3298

Observation 995febb1-49bc-4b09-8946-b13f79363541 · outbound

This paper cites Gravitational collapse: the role of general relativity.Rivista del Nuovo Cimento, 1:252– 276, 1969.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System Gravitational collapse: the role of general relativity.Rivista del Nuovo Cimento, 1:252– 276, 1969

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T19:46:28.886572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:3df1dd89b5972111f9fa1da696479bd2b6f06e50f759184798e1754fa72861fd

Observation 67736b96-bb40-4b85-9a13-5b0f936e21b0 · outbound

This paper cites an unresolved cited work.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-07-09T19:46:28.875664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:e2de1c098fcf1be7a534263b1698a51daaab49fc681c6a2375f34f10a904895c

Observation 77d77950-54e1-41a3-8621-b21f28800d5b · outbound

This paper cites Naked singularities for the Einstein vacuum equa- tions: the exterior solution.Annals of Mathematics, 198(1):231–391, 2023.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System Naked singularities for the Einstein vacuum equa- tions: the exterior solution.Annals of Mathematics, 198(1):231–391, 2023

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T19:46:28.888793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:d561994dcd91abd6960c3dfe4037d0b9e4d9b4845d8abf109944b4d32579580f

Observation 0a204974-0fb1-4b88-b1b5-59dbddcbe354 · outbound

This paper cites A construction of approximately self-similar naked singularities for the spherically symmetric Einstein-scalar field system.Annales Henri Poincaré, 26:2355–2465, 2025.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System A construction of approximately self-similar naked singularities for the spherically symmetric Einstein-scalar field system.Annales Henri Poincaré, 26:2355–2465, 2025

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T19:46:28.877370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:ab4cecf45c9e18999a9b5a527fd823bf20dd8c3c922951c3b9a8d9939e225da8

Observation 6ca7331b-e8a9-4fe8-813a-0dcd10dd2616 · outbound

This paper cites Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations II: linearized stability.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations II: linearized stability

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-07-09T19:46:28.732940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:2a399e6a7a085aaf87ac1a7083b4dd73dd8df231cc32d70cf995ab148db54649

Observation cb187820-2665-47b2-9626-fd07f802d8da · outbound

This paper cites Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations I: main results.

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations I: main results

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-07-09T19:46:28.735934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-09T19:40:16.095473Z digest=sha256:88a34275196907639b5eb8557fc677985271df99536250e682180ebeac6c8890

Pith citing papers

No inbound Pith citation observations are available.