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Paper Citation Record · LEDGER

Stationary black holes and light rings

As of 9 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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  • malformed identifier0
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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:dc5ad408b1f22ebe5ae3dd6f28f3345d768070327ac4d335f0516727c8e794a3

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:ae3fd47f1301c28624487e2278993f43e9cd7dcb2618bfd001518b0e905398b6

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:cbeded701e5f87cc90d0e25427a4f8c6f3b41f0488e7a85718f023e10ebe311b

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=sha256:7027d8c8ee7b1d6862ddfd1cae5f74fb0ae2148244cc8bf9a858924975fbd23a

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=sha256:7e9b37959971ad26d2db8684e10c1630aba0835ee6fb839c82e292f921a4ed14

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=sha256:07be3f218a3f22db53088a17c9d82b55e4c03b00d45c213512d2ad9b4439c811

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:efea88b945046c4ffb21350e779eb1c3bbcede067ea7ca8258cfcf0143b76693

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=sha256:1fc1c525301597b62cf856563c6fdf050deedd67f976feba13910ab42964a8f6

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=sha256:984cb18d6459eadd4d46f3f4fa5edf6228a33728a11f4c7b8f6405e1ed020dfb

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=sha256:7affded81b252ba39214dfa0fa47fbb4652afe242c5529b3f87f1bf13e1e268c

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=sha256:46ed8e8ee58ee23b0877d8d499133e10b65871a367923fa3471935f1f5574170

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=sha256:64c991dc24b58db9595c241a8a74a2a210f8a5dda2d0910e9e46e90488339a0c

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=sha256:03cfdff31f9e0125334bbab528e0db5d3332b42956062e8e9b27ab3578c3f9cd