Paper Citation Record · LEDGER

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields

As of 21 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 2 inbound Pith citation observations for arXiv:2507.09677.

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

pith.paper-citation-record.v1
2507.09677 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:57:57.214476Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:57:54.903530Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T15:03:34.472939Z

Reference resolution

29 of 29 outbound references displayed

verified exact6
verified fuzzy11
unresolved12
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b9ea39e1-96ca-42ec-83a1-a538228b9b3d · outbound

This paper cites Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T17:57:54.903530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a6216e2-c2c5-4d94-bd5f-64fbf2678532 · outbound

This paper cites e−ν ∂ϕ ∂t 2 + e−λ ∂ϕ ∂r 2 + 2V (ϕ) # , (4) re−λ ∂ν ∂r + e−λ − 1 = = κ 2 r2.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields e−ν ∂ϕ ∂t 2 + e−λ ∂ϕ ∂r 2 + 2V (ϕ) # , (4) re−λ ∂ν ∂r + e−λ − 1 = = κ 2 r2

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:58:02.371705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 45109b5b-f329-4a5d-82d7-3e39c193fedd · outbound

This paper cites tortoise.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields tortoise

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:58:01.645937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 606e91bc-54cf-4b93-a873-f8b2a2db3114 · outbound

This paper cites 3 Figure 1.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields 3 Figure 1

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:58:01.900146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8a11c3b1-82cc-4141-b835-fead24d32156 · outbound

This paper cites Dynamics in Non-Globally-Hyperbolic Static Spacetimes II: General Analysis of Prescriptions for Dynamics.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Dynamics in Non-Globally-Hyperbolic Static Spacetimes II: General Analysis of Prescriptions for Dynamics

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T17:57:56.127789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33302baa-1e54-49bb-bfd5-27ce322fea64 · outbound

This paper cites The choice n = 3, 4, 5 in (13) ensures the Coulomb asymptotic behavior of the field at spatial infinity.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields The choice n = 3, 4, 5 in (13) ensures the Coulomb asymptotic behavior of the field at spatial infinity

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:58:01.436586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5707db25-08be-4ac5-9c14-5ac0692e24f0 · outbound

This paper cites Christodoulou, Violation of cosmic censorship in the gravitational collapse of a dust cloud, Communications in Mathematical Physics 93, 171 (1984).

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Christodoulou, Violation of cosmic censorship in the gravitational collapse of a dust cloud, Communications in Mathematical Physics 93, 171 (1984)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:58:00.303904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 55a2679a-6480-43df-bcf8-b2c6efae08d6 · outbound

This paper cites Penrose, Gravitational Collapse and Space-Time Sin- gularities, Physical Review Letters 14, 57 (1965).

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Penrose, Gravitational Collapse and Space-Time Sin- gularities, Physical Review Letters 14, 57 (1965)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:58:00.997553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b813a355-4d8b-4779-8871-b5dc4978554e · outbound

This paper cites Golden Oldie.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Golden Oldie

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:58:00.724810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2b6a47a6-5ffe-43a1-a69c-52a3aba2db20 · outbound

This paper cites an unresolved cited work.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:58:00.492060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6c9262c2-bbef-4db0-9f50-67a4264041ff · outbound

This paper cites Ishibashi and A.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Ishibashi and A

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-06T17:57:58.317799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d0880757-d66e-48a6-b75e-25d28ab0ce5c · outbound

This paper cites an unresolved cited work.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:57:59.239150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fa80e389-44ed-4ef0-8a83-1652353269e2 · outbound

This paper cites On the stability of naked singularities.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields On the stability of naked singularities

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:57:58.040328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 665581f5-56bd-484c-9013-5545e2b4f5bd · outbound

This paper cites On the stability of electrovacuum space-times in scalar-tensor gravity.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields On the stability of electrovacuum space-times in scalar-tensor gravity

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T17:57:56.802767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe4b5986-d4b1-4204-b419-1cbf8d335e5e · outbound

This paper cites Ori and T.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Ori and T

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:58:00.119450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7b87d8e3-01d6-461b-afe3-9f5b8d700992 · outbound

This paper cites an unresolved cited work.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:57:59.912642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3fe5c45d-f9ad-4076-b0f5-75efd22af97e · outbound

This paper cites an unresolved cited work.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:57:59.691927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c525035e-aa31-460f-b347-f456bade6be2 · outbound

This paper cites However, the stability against polar perturbations in the specific problem considered still needs a detailed analysis.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields However, the stability against polar perturbations in the specific problem considered still needs a detailed analysis

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:58:01.228157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2e9190f6-11f1-41e0-ba6c-b6c69e6a762a · outbound

This paper cites an unresolved cited work.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:57:59.464033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 75f3e49f-8904-42fd-b335-fce2b64e8c1e · outbound

This paper cites scalar charge.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields scalar charge

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:58:02.136236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f268fb4c-36c5-4bd9-a4b1-197f05a67735 · outbound

This paper cites On the stability of scalar-vacuum space-times.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields On the stability of scalar-vacuum space-times

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T17:57:56.745680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0651d47b-57b9-4c00-83d4-29b0e7eca7b5 · outbound

This paper cites an unresolved cited work.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:57:59.051452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 73a4f852-ecbb-430a-802d-a0d8d728e3d8 · outbound

This paper cites Jetzer and D.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Jetzer and D

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:57:58.870084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 05b699c3-3bb0-45e1-950f-166579fdccd3 · outbound

This paper cites The dynamical stability of the static real scalar field solutions to the Einstein-Klein-Gordon equations revisited.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields The dynamical stability of the static real scalar field solutions to the Einstein-Klein-Gordon equations revisited

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:57:57.880247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 65dc505c-3226-4ef5-8bef-a887b524ea96 · outbound

This paper cites Quasi-normal modes of naked singularities in presence of non-linear scalar fields.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Quasi-normal modes of naked singularities in presence of non-linear scalar fields

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:57:57.697415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5fce25c0-1dff-47f4-8356-98e05fca1554 · outbound

This paper cites an unresolved cited work.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:57:58.689757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8418c013-6067-48b7-96d8-b86753335bf7 · outbound

This paper cites an unresolved cited work.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:57:58.508177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 743034b3-9190-49c7-bad8-f4a774878043 · outbound

This paper cites Thin accretion discs around spherically symmetric configurations with nonlinear scalar fields.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Thin accretion discs around spherically symmetric configurations with nonlinear scalar fields

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:57:57.509552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a9d4fae9-205b-456e-9627-9affe68d00a0 · outbound

This paper cites Spherically symmetric configurations in the quadratic $f(R)$ gravity.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Spherically symmetric configurations in the quadratic $f(R)$ gravity

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:57:57.379465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation b9ea39e1-96ca-42ec-83a1-a538228b9b3d · inbound

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields cites this paper.

Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T17:57:54.903530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5511f981-6575-45f4-ad38-0f150c8ba175 · inbound

On the stability of exceptional Brans-Dicke wormholes cites this paper.

On the stability of exceptional Brans-Dicke wormholes Penrose hypothesis and instability of naked singularities in static spherically symmetric systems with scalar fields

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:03:34.573793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.