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Paper Citation Record · LEDGER

Stationary black holes and light rings

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2003.06445.

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

pith.paper-citation-record.v1
2003.06445 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T14:38:40.761764Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T23:56:23.982598Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 9a3f2c6b-185e-4031-b4a1-930681c13a16 · inbound

Spinning generalizations of Majumdar-Papapetrou multi-black hole spacetimes: light rings, lensing and shadows cites this paper.

Spinning generalizations of Majumdar-Papapetrou multi-black hole spacetimes: light rings, lensing and shadows Stationary black holes and light rings

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-09T14:38:40.761764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T14:38:40.761764Z digest=sha256:fcc6cd2753b73b91e094d0d6a656bd2a9cf9c8f8e79a187e11dfc8753984297e

Observation d8f407bc-937f-4f0e-a983-f14f5583425f · inbound

Radii of spherical timelike geodesics in Kerr-Newman black holes cites this paper.

Radii of spherical timelike geodesics in Kerr-Newman black holes Stationary black holes and light rings

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-07T04:09:28.267466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:09:28.267466Z digest=sha256:101848321b2c0b79eb2ddbbc4912d3e9f440495f76333a8a3a519a22e295e3f1

Observation df6f8ebd-a74d-48d9-868c-c1789365e74a · inbound

The existence and upper bound for stable photon spheres in static spherically symmetric black holes cites this paper.

The existence and upper bound for stable photon spheres in static spherically symmetric black holes Stationary black holes and light rings

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-05T15:39:28.471810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T15:39:28.471810Z digest=sha256:c65153e92b1ecdc2d15710ef074df41515ac4383227c5a1d26a3e60a9b1315cf

Observation 0f0147c6-1dd0-4eb9-a123-fcf1da235ccf · inbound

An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field cites this paper.

An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field Stationary black holes and light rings

Reference 131

Resolution
unresolved
no resolver link, observed 2026-08-05T12:00:47.804389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:00:47.804389Z digest=sha256:ecf3a6e5e729736cccd5015af65741decdec4729823f51d1ccc57b0db0960a98

Observation cfd32be0-0872-4b82-b967-0128e33400d8 · inbound

Topological charge and black hole photon spheres in massive gravity cites this paper.

Topological charge and black hole photon spheres in massive gravity Stationary black holes and light rings

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-18T18:52:48.471361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T18:52:07.782615Z digest=sha256:a9cff5667c2fc2d12edb67e8c16aa9bd2add5ca208e3a4aeae14ac7c6bed2ec6

Observation bfc1b327-5086-421b-95b6-508b7d6e77a5 · inbound

Boson Stars in $D \ge 4$ Dimensions: Stability, Oscillation Frequencies, and Dynamical Evolutions cites this paper.

Boson Stars in $D \ge 4$ Dimensions: Stability, Oscillation Frequencies, and Dynamical Evolutions Stationary black holes and light rings

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:44.233648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:44.233648Z digest=sha256:eceb3b7de5a91299cf9bf35ee7253ce516b076ea943a62b8cf0f50d7c43bc283

Observation 055bfb04-ff00-42d4-b0d6-12aecd375293 · inbound

A Universal Framework for Horizon-Scale Tests of Gravity with Black Hole Shadows cites this paper.

A Universal Framework for Horizon-Scale Tests of Gravity with Black Hole Shadows Stationary black holes and light rings

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T23:28:32.265554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:28:32.265554Z digest=sha256:b1063246f73a8f6cf52e5d00d2e89c0dcf9e7d218a312729e083a04f70664349

Observation 6af00162-96af-42f0-bc33-303b3a222aca · inbound

A Topological Origin of Black Hole Mass cites this paper.

A Topological Origin of Black Hole Mass Stationary black holes and light rings

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-13T18:58:08.795460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-13T18:54:48.724976Z digest=sha256:05dddfade76deefe75f0406c2bec385c6bb2ccad3473af199ee17261529ed0c2

Observation 78b6cf06-b085-467c-897b-8faf17019155 · inbound

Gravity/thermodynamics correspondence via black hole shadows cites this paper.

Gravity/thermodynamics correspondence via black hole shadows Stationary black holes and light rings

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-05-10T21:55:51.446353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T20:27:30.544350Z digest=sha256:e9f4974a9b136cbeac980eb16996708eeb972b15a0c21278e4318417b41eb60a

Observation 5361c491-ccc2-4a91-b725-f5bfdce06871 · inbound

Topology of black hole thermodynamics: A brief review cites this paper.

Topology of black hole thermodynamics: A brief review Stationary black holes and light rings

Reference 32

Resolution
verified exact
arxiv_id, observed 2026-05-11T14:46:57.745825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-09T21:02:05.741128Z digest=sha256:5ccdd0a172544f4a2fff26ef1f4a3d07c8fcf5acd01b0765d08ff6bf72ce4ece

Observation cd642c11-8aea-4c15-85cc-22e8165b9c51 · inbound

Scalar-Electromagnetic Couplings as Source of Deformed Black Hole: From Shadows to Thermodynamic Topology cites this paper.

Scalar-Electromagnetic Couplings as Source of Deformed Black Hole: From Shadows to Thermodynamic Topology Stationary black holes and light rings

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-05-11T16:31:07.113561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-09T16:33:19.023106Z digest=sha256:cfc623621d2649ba778335137671b68406ea01aab77f49ccec27f3262fd2b94b

Observation ff000222-eac1-45fd-bbd6-1ffc46c073d0 · inbound

Constraining Black Hole Parameters in Non-Commutative Geometry using Machine Learning cites this paper.

Constraining Black Hole Parameters in Non-Commutative Geometry using Machine Learning Stationary black holes and light rings

Reference 65

Resolution
verified exact
arxiv_id, observed 2026-05-25T05:56:40.141691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-25T05:55:52.178306Z digest=sha256:aecefa968ad52a09f1fb46672c379cddf8071d5764504055b32c28211903721b

Observation d7a51eb5-b689-4a3b-857d-06958fb9273b · inbound

Photon spheres in dynamical space-times cites this paper.

Photon spheres in dynamical space-times Stationary black holes and light rings

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-07-01T23:56:23.984289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-28T13:47:32.138077Z digest=sha256:bedcbd156989867409e56340f33bf40c624aa8d06ad0a5790cb602aa40272638