Paper Citation Record · LEDGER

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity

As of 23 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2608.12651.

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

pith.paper-citation-record.v1
2608.12651 v1

Coverage vector

measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-16T00:12:14.000887Z

measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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External citation measurements

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Outbound references

Observation 608f625f-97be-48e4-a1e1-9f480e1680fe · outbound

This paper cites Relativistic cosmology. 1.,.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Relativistic cosmology. 1.,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:12:14.731580Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d508990f-dbaf-479f-83ca-27e5a6b23ad7 · outbound

This paper cites The Singularities of gravitational collapse and cosmology,.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity The Singularities of gravitational collapse and cosmology,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:12:14.711727Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a6b88d97-7398-45fa-a850-f733e3a9c384 · outbound

This paper cites an unresolved cited work.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:12:14.691598Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 441e638c-8115-4ed8-ae75-45215fd7014e · outbound

This paper cites The Raychaudhuri Equation in inhomogeneous FLRW space-time : A $f(R)$-gravity model.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity The Raychaudhuri Equation in inhomogeneous FLRW space-time : A $f(R)$-gravity model

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:12:14.587587Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d672e192-efdf-4d69-8b7c-035fa1f4ca71 · outbound

This paper cites General laws of black hole dynamics,.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity General laws of black hole dynamics,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:12:14.675228Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9eae240c-0c3b-4c70-ba96-0cb76f625178 · outbound

This paper cites New insights on null and timelike warped symmetric spacetime splittings.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity New insights on null and timelike warped symmetric spacetime splittings

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:12:14.566997Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5fdf387e-d272-4836-9ccb-1b064d161eb7 · outbound

This paper cites Internal structure of black holes,.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Internal structure of black holes,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:12:14.659112Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f7d00f17-8598-49c4-81f9-ddde6b77afba · outbound

This paper cites Inner structure of a charged black hole: An exact mass-inflation solution,.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Inner structure of a charged black hole: An exact mass-inflation solution,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:12:14.641681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a8563395-7c0a-4658-b74c-0f37f58247e6 · outbound

This paper cites No Inner-Horizon Theorem for Black Holes with Charged Scalar Hairs.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity No Inner-Horizon Theorem for Black Holes with Charged Scalar Hairs

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.887514Z

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Observation adeb32b2-339d-4c4c-a1fd-29854d9d96c4 · outbound

This paper cites No Cauchy Horizon Theorem for Nonlinear Electrodynamics Black Holes with Charged Scalar Hairs.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity No Cauchy Horizon Theorem for Nonlinear Electrodynamics Black Holes with Charged Scalar Hairs

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.892856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf993d82-be7f-436d-98aa-c4bb05acafcb · outbound

This paper cites No Scalar-Haired Cauchy Horizon Theorem in Einstein-Maxwell-Horndeski Theories.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity No Scalar-Haired Cauchy Horizon Theorem in Einstein-Maxwell-Horndeski Theories

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.898447Z

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Observation 20d48f5d-d7ba-448d-9a00-20b486c5d8e7 · outbound

This paper cites No Scalar-Haired Cauchy Horizon Theorem in Charged Gauss-Bonnet Black Holes.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity No Scalar-Haired Cauchy Horizon Theorem in Charged Gauss-Bonnet Black Holes

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.903457Z

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Unavailable: canonical work link unavailable.

Observation 33a23a92-c7f1-4d3a-b56b-84758e6c76d4 · outbound

This paper cites On the absence of inner horizons for anisotropic black holes,.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity On the absence of inner horizons for anisotropic black holes,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:12:14.624862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 846564b5-9f6c-4186-9ed0-9efa3cc1c417 · outbound

This paper cites Constraining the number of horizons with energy conditions.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Constraining the number of horizons with energy conditions

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.913311Z

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Observation 9f7f9cc3-fde5-42c0-9b7e-c6771715838e · outbound

This paper cites f(R) Theories Of Gravity.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity f(R) Theories Of Gravity

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.918383Z

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Observation e6b5f62c-2bc5-45de-b33a-863fd86c55ae · outbound

This paper cites f(R) theories.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity f(R) theories

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.923432Z

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Observation 0edfabe4-891c-4da8-a53f-40564e600aa8 · outbound

This paper cites Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.928914Z

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Observation b5685e73-51d6-40f9-a61b-02cbef64ef37 · outbound

This paper cites Extended Theories of Gravity.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Extended Theories of Gravity

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.934412Z

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Observation f320543e-b4c9-485d-8af9-a12ae2719be5 · outbound

This paper cites F(R) gravity and inflation.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity F(R) gravity and inflation

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.939465Z

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Observation 7c7039e0-589c-4f89-a8ed-78c99b4da02a · outbound

This paper cites Spherically symmetric so- lutions of modified field equations inf(R) theories of gravity,.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Spherically symmetric so- lutions of modified field equations inf(R) theories of gravity,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.944031Z

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Observation 904d5c71-347d-4045-aa1a-fecd8178ccec · outbound

This paper cites Static Spherically Symmetric Solutions in F(R) Gravity.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Static Spherically Symmetric Solutions in F(R) Gravity

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.948071Z

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Unavailable: canonical work link unavailable.

Observation 87202247-310c-4d85-8cc7-9b784e07d6c8 · outbound

This paper cites Exact Black Hole Solutions with a Conformally Coupled Scalar Field and Dynamic Ricci Curvature in $f(R)$ Gravity Theories.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Exact Black Hole Solutions with a Conformally Coupled Scalar Field and Dynamic Ricci Curvature in $f(R)$ Gravity Theories

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.952550Z

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Unavailable: canonical work link unavailable.

Observation eb52cc26-e522-4429-bfe7-e7c67c0951b2 · outbound

This paper cites Rotating black hole solutions for $f(R)$ gravity and Newman Janis Algorithm.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Rotating black hole solutions for $f(R)$ gravity and Newman Janis Algorithm

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.957180Z

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Unavailable: canonical work link unavailable.

Observation 3b6b4969-45b0-41b0-81be-a4f058d00547 · outbound

This paper cites Spherically symmetric and static solutions in $f(R)$ gravity coupled with EM fields.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Spherically symmetric and static solutions in $f(R)$ gravity coupled with EM fields

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:12:14.191691Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 224c0eaa-593a-428b-86f8-2df8b7f2b44d · outbound

This paper cites Exact charged black hole solutions in D-dimensions in f(R) gravity.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Exact charged black hole solutions in D-dimensions in f(R) gravity

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:12:14.169662Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 053ce871-3e7e-4a55-b4b8-401302784d32 · outbound

This paper cites Thermodynamics of topological black holes in $R^{2}$ gravity.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Thermodynamics of topological black holes in $R^{2}$ gravity

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-16T00:12:13.971673Z

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Unavailable: canonical work link unavailable.

Observation 39fec000-d5f4-4c0b-b65c-fa9c95509d38 · outbound

This paper cites Topological phantom AdS black holes in $F(R)$ gravity.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Topological phantom AdS black holes in $F(R)$ gravity

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:12:14.131705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 59b43bc5-eda6-4b25-b245-0ced57754a21 · outbound

This paper cites Cor- rected Thermodynamics of Black Holes inf(R) Gravity with Electrodynamic Field and Cosmological Constant,.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Cor- rected Thermodynamics of Black Holes inf(R) Gravity with Electrodynamic Field and Cosmological Constant,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:12:14.605789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a57e43f8-f259-4d9c-a469-065af7d576ea · outbound

This paper cites Mass inflation in f(R) gravity: A conjecture on the resolution of the mass inflation singularity.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Mass inflation in f(R) gravity: A conjecture on the resolution of the mass inflation singularity

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:12:14.111497Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 37b72180-2487-4cf1-9cf5-a8413fc3aecb · outbound

This paper cites Spherical collapse in f(R) gravity and the Belinskii-Khalatnikov-Lifshitz conjecture.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Spherical collapse in f(R) gravity and the Belinskii-Khalatnikov-Lifshitz conjecture

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:12:14.090534Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 690aff65-403c-4cb9-b2c7-76a7f475e790 · outbound

This paper cites Interior dynamics of neutral and charged black holes in f(R) gravity.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Interior dynamics of neutral and charged black holes in f(R) gravity

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:12:14.069054Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ed2ca076-d65b-4599-bb1c-88ffdc8a3460 · outbound

This paper cites Scalaron-modified null focusing and radial monotonicity in static f(R) gravity.

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Scalaron-modified null focusing and radial monotonicity in static f(R) gravity

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:12:14.047207Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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