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Paper Citation Record · LEDGER

Interior instability of naked singularities of a scalar field

As of 8 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.025853Z digest=sha256:bea39409280c4e82d5c202588d82a8702784d8295225b07d0ec22c9e5419be4e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.030368Z digest=sha256:7f2fcc541f85cdd3bba1acd964f534981760bb41993ab686338645477d30883b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.034084Z digest=sha256:b7ebb932cc17c566a803f73203e903b13c4b2ad60a30f720972ee6e843d0ba5e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.038472Z digest=sha256:13bad6f87e3cd7d55a89c72c9c7be41f2e999f459d71efa33829d8545cfa114f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.042252Z digest=sha256:b874c28566ffa3a45e23ea3fe752bd800d7164b0974a1d1f4210f958350ddf45

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.046189Z digest=sha256:5a9956c49b5b7664d5984390c46415b611b49fa015fbf8210da460bb182e57d4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.050273Z digest=sha256:d552b4a0ffe9cfd9f11ccbd092b6831ed3df7bf00e3e64b123928cd309ae6fb0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.054650Z digest=sha256:6ed05f174469748e187229b45cb1cf27d92531eb2edc71950613ff2ebe94f432

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.058369Z digest=sha256:9ab69f10e8667b87991ca88cf426d1729f2536e08dea4acf66ea85ba2ecb6bdf

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.062165Z digest=sha256:af45df17220466276568ad981c7fe058f3b17463c1948e4141e0ef5830886865

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=sha256:4df0c2161f0af25bdab7d424dddb204136bc5c09fcb39fdd6a53ac90ab981776

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.070151Z digest=sha256:7debe45b8cb8e71db9d086278b1dc291a4250db7e76c480c6a3570adab845d70

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:c6f409c2e58a326fb718e478cecf460e0a4e75e3e33866e41768766d3174ad11

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.078180Z digest=sha256:0b23b9dc25a8417c871b4a65bf8e7c617c7ed61bf377b7d243eba0baba8328f5

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=sha256:2f41d006c06c76cca06b40fbf2c1d9ff24eb66da0f01d56386bf4f2cb6e3d6fa

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.085935Z digest=sha256:1096adfe6eb381dacb8b4d41292a023123f777173290956937af183300136651

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.090080Z digest=sha256:22ee068492316927d0a128dce819b61e4c82cb38e860befb5c7d6b2908479d2e

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=sha256:0ad2fd011fa8063f5ce3f5636c9e4904a395286cf92beaa71efd2b92e90a3dfb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.098281Z digest=sha256:115b8301a968947ab4fc02982ea781f0e550b3e9b073f8bfedb50b86f879a957

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.101966Z digest=sha256:26dc7f15ab511c7b322e614149bb085899b955538a1bcd77ce0b16a2a0972dba

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.106271Z digest=sha256:62f2c1bbfe312d00d6c1bd9add1a9afb833eacb2b2290800b7e57afee480bf7d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.109854Z digest=sha256:881b6e6597db5f699e815889ec1df8e10c29363e26ab009e368a411e2dc6bcfe

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T22:12:45.114389Z digest=sha256:2fb14c62eda8f21944d5b606821b0ecf6c20de07521686053bf67e9abf68acfe

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-20T17:21:07.947696Z digest=sha256:34e3d686bd8932986330a3776fc655b965c78fde1f3f3156340b69c7c85c6685

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-20T16:46:32.023652Z digest=sha256:4f6dfa70a924975e9a52f7eb391309aa08fb81140a847681c549608c90efe519