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Paper Citation Record · LEDGER

Interior instability of naked singularities of a scalar field

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 2 inbound Pith citation observations for arXiv:2508.07655.

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

pith.paper-citation-record.v1
2508.07655 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:12:45.114389Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-20T17:21:07.947696Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-20T17:23:36.761368Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact4
  • verified fuzzy13
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8acc4857-2ddb-4bfd-b189-3b3039feee62 · outbound

This paper cites Naked Singularity Censoring with Anisotropic Apparent Horizon.

Interior instability of naked singularities of a scalar field Naked Singularity Censoring with Anisotropic Apparent Horizon

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-05T22:12:45.237145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.025853Z digest=sha256:48e44e41ac19b5996ef26d9aa40a19da3bda81a4367a3b5a8b403f2bc2493cb6

Observation 83950818-849d-48f0-93fd-d6bfae3938f9 · outbound

This paper cites An and J.

Interior instability of naked singularities of a scalar field An and J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:12:45.390913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.030368Z digest=sha256:17afe5a0b5952c4f6bad1ed0966b50d00e2ad88bab94ddfd87f4c26a40dbdb20

Observation a86f1364-17d6-493f-8700-991baa2bd325 · outbound

This paper cites A Proof of Weak Cosmic Censorship Conjecture for the Spherically Symmetric Einstein-Maxwell-Charged Scalar Field System.

Interior instability of naked singularities of a scalar field A Proof of Weak Cosmic Censorship Conjecture for the Spherically Symmetric Einstein-Maxwell-Charged Scalar Field System

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-05T22:12:45.222617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.034084Z digest=sha256:56fe4d5d95390ccfd8717c3809e2516694cdd131315ec5397582380f84ea9083

Observation f6f42da2-b666-425c-b01d-d27992d4c93b · outbound

This paper cites Choptuik,Universality and scaling in gravitational collapse of a massless scalar field, Phys.

Interior instability of naked singularities of a scalar field Choptuik,Universality and scaling in gravitational collapse of a massless scalar field, Phys

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:12:45.380571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.038472Z digest=sha256:d3a015928c9a81ff0c1d85d03b8fd190d428f614bfbacb3513bfb91e8558916a

Observation b74fb982-5e93-4840-90a8-bb7d4d72800e · outbound

This paper cites Christodoulou,A Mathematical Theory of Gravitational Collapse, Comm.

Interior instability of naked singularities of a scalar field Christodoulou,A Mathematical Theory of Gravitational Collapse, Comm

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:12:45.371471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.042252Z digest=sha256:9ea57af60f5aa3823082dd44ad3e557f8b1420e2feaf62f05b16bc501250e869

Observation 4cbf6785-0764-4970-a22c-2518fa4c0018 · outbound

This paper cites Christodoulou,The formation of black holes and singularities in spherically symmetric gravitational collapse, Communications on Pure and Applied Mathematics 44, no.

Interior instability of naked singularities of a scalar field Christodoulou,The formation of black holes and singularities in spherically symmetric gravitational collapse, Communications on Pure and Applied Mathematics 44, no

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:12:45.361051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.046189Z digest=sha256:fd5baa83c0f961c33ac9fed3b1d84f03cbccf44961c073006e7401eb98b451c1

Observation ef59fdcf-af4f-47bb-a6d0-22d1467c9ad6 · outbound

This paper cites Christodoulou,Bounded variation solutions of the spherically symmetric einstein-scalar field equa- tions, Communications on Pure and Applied Mathematics 46, no.

Interior instability of naked singularities of a scalar field Christodoulou,Bounded variation solutions of the spherically symmetric einstein-scalar field equa- tions, Communications on Pure and Applied Mathematics 46, no

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:12:45.351119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.050273Z digest=sha256:b915bb367c79d38b988d834fa76c1d6caff7d6d6f4df00b83406a8858fa4609c

Observation 2066847b-23d2-4fb6-9079-c0da578c4fe4 · outbound

This paper cites Christodoulou,Examples of Naked Singularity Formation in the Gravitational Collapse of a Scalar Field, Annals of Mathematics, (1994) 140(3), 607–653.

Interior instability of naked singularities of a scalar field Christodoulou,Examples of Naked Singularity Formation in the Gravitational Collapse of a Scalar Field, Annals of Mathematics, (1994) 140(3), 607–653

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:12:45.340979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.054650Z digest=sha256:dbfbb7a8d1cb9fe50e01785ff0f8a18294f9af99d014f44ffcfd804c7deab81a

Observation a619dcb8-c6f4-4c08-8c5e-df1986f51cf3 · outbound

This paper cites Christodoulou,The instability of naked singularities in the gravitational collapse of a scalar field, Ann.

Interior instability of naked singularities of a scalar field Christodoulou,The instability of naked singularities in the gravitational collapse of a scalar field, Ann

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:12:45.330872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.058369Z digest=sha256:0d8858c8e8d36d00f27719eb15e3020eb8972879282489b35870c68de5dcb5df

Observation c855f74f-450b-4ace-a2b3-8118b3997f01 · outbound

This paper cites Christodoulou,On the global initial value problem and the issue of singularities, Class.

Interior instability of naked singularities of a scalar field Christodoulou,On the global initial value problem and the issue of singularities, Class

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:12:45.321112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.062165Z digest=sha256:e8f39286eddbecdb271d9c08aabb92c1bb741e8dcc0bbab1d7b2822f571bb3a9

Observation bb9fa363-a0c4-4978-8054-bb384154f68f · outbound

This paper cites Discretely self-similar exterior-naked singularities for the Einstein-scalar field system.

Interior instability of naked singularities of a scalar field Discretely self-similar exterior-naked singularities for the Einstein-scalar field system

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-05T22:12:45.065968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:12:45.065968Z digest=sha256:7cd904e19042de1a9ff248abd6f9b19928848598bdc654adaec353d270b290cf

Observation 0881745d-bbdb-4701-a5e7-088bb7200e20 · outbound

This paper cites Dafermos,Spherically symmetric spacetimes with a trapped surface, Class.

Interior instability of naked singularities of a scalar field Dafermos,Spherically symmetric spacetimes with a trapped surface, Class

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:12:45.311218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.070151Z digest=sha256:178a9cdbb2e5599e2bdd7a563450250bfc97b74b3c25a0263e59d0e59bee123b

Observation 0b81962c-8188-4c8c-ace0-15155f140942 · outbound

This paper cites Critical Phenomena in Gravitational Collapse.

Interior instability of naked singularities of a scalar field Critical Phenomena in Gravitational Collapse

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-05T22:12:45.073899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:12:45.073899Z digest=sha256:372eb65086441e41ed6cba0e52d202db3fa0d531c617b976e91b1243123f5032

Observation 1a710ad1-5e90-4b7a-a6f6-cf81c61cf09a · outbound

This paper cites an unresolved cited work.

Interior instability of naked singularities of a scalar field Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:12:45.300647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.078180Z digest=sha256:02b1c1c605c40b0c51c246e5581097125596c8c5e381b5038310d4deab700f5d

Observation 9be5cacd-d71b-4e48-9d95-a5686a7c8f73 · outbound

This paper cites Volume-Distance-Ratio Asymptote and Spacetime Inextendibility.

Interior instability of naked singularities of a scalar field Volume-Distance-Ratio Asymptote and Spacetime Inextendibility

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-05T22:12:45.081901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:12:45.081901Z digest=sha256:c695d3a8928344c991faf670aef8e67f3626090c457c5541a55063ba1a79e90d

Observation 578c5a15-4a76-48cd-909d-d075e2fcb855 · outbound

This paper cites Li, and J.

Interior instability of naked singularities of a scalar field Li, and J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:12:45.290760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.085935Z digest=sha256:27a3a98f6e4dcf6548c5a660458e49811785b2f2d2ca255b7fe9b4d3b154bcd3

Observation 5947f624-ed3c-410c-8a67-b69dc41bd0b0 · outbound

This paper cites Liu and J.

Interior instability of naked singularities of a scalar field Liu and J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:12:45.278804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.090080Z digest=sha256:c8df267906d6693e2c1301b367d6bb8fd286d4ad3cb7c8cbade64b0706900e1e

Observation aba5737d-e9ae-4579-9440-096152f6868e · outbound

This paper cites Scalar perturbations to naked singularities of perfect fluid.

Interior instability of naked singularities of a scalar field Scalar perturbations to naked singularities of perfect fluid

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-05T22:12:45.093706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:12:45.093706Z digest=sha256:84a8f090c87e89ca6527b1143e824342c0f3adcc3eece581875fe465b345f85d

Observation cad92591-3be0-44bf-97fd-2d46feaf6966 · outbound

This paper cites an unresolved cited work.

Interior instability of naked singularities of a scalar field Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:12:45.268183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.098281Z digest=sha256:4e94128113a60ff00f230675a458ef5423a0133804dc00dedb04cbf4dcb425b7

Observation b84bbfbf-b86b-43ff-b05d-d3de25775d35 · outbound

This paper cites Penrose,Gravitational collapse: the role of general relativity, Noovo Cimento 1, 252 - 276 (1969).

Interior instability of naked singularities of a scalar field Penrose,Gravitational collapse: the role of general relativity, Noovo Cimento 1, 252 - 276 (1969)

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:12:45.257858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.101966Z digest=sha256:34ed4942d7d95a17e0718834162c2d1ac3bc615013a05b11c45e90becefa4183

Observation 3a5346e1-c28c-44d6-865b-8f93804d35ea · outbound

This paper cites Rodnianski, Y.

Interior instability of naked singularities of a scalar field Rodnianski, Y

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:12:45.247007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.106271Z digest=sha256:733e59c6ba7d1774e9de3679f82562f3c6c05d6aaf3fdc99ab1983706d9846f1

Observation cb4888ab-97c8-499a-8088-5e12c30fff8d · outbound

This paper cites A construction of approximately self-similar naked singularities for the spherically symmetric Einstein-scalar field system.

Interior instability of naked singularities of a scalar field A construction of approximately self-similar naked singularities for the spherically symmetric Einstein-scalar field system

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-05T22:12:45.168520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.109854Z digest=sha256:f5080a2fc37dcf52489c64a1ee41a2b1094e735d17104f3f9da324cce4aa53ce

Observation 4a464353-ee51-4d94-89cb-08ac86fb199e · outbound

This paper cites High regularity waves on self-similar naked singularity interiors: decay and the role of blue-shift.

Interior instability of naked singularities of a scalar field High regularity waves on self-similar naked singularity interiors: decay and the role of blue-shift

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-05T22:12:45.151320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-05T22:12:45.114389Z digest=sha256:d9e2239ddf9cafec58cd6d4a41bc34622477f1c8b43ae5b063dd2a65192ba704

Pith citing papers

Observation afc0d8bd-715c-408f-841d-bbeadbe427c1 · inbound

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

Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations II: linearized stability Interior instability of naked singularities of a scalar field

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-20T17:23:36.763399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-20T17:21:07.947696Z digest=sha256:4d44d940e77cfc91d6d311511f1bf00e5e24848195186cef249a584147dd4505

Observation 4e6f03b1-617e-4765-bc9c-f4605a68906e · inbound

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

Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations I: main results Interior instability of naked singularities of a scalar field

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-20T16:48:41.035541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-20T16:46:32.023652Z digest=sha256:e5737cde566c418e591a98bb3e6c6143ff6419d92dec64dc43d910456b69cc4c