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Paper Citation Record · LEDGER

Stationary black holes and light rings

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 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 12 of 12 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 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:09:28.267466Z

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

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 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:a46e9460054c07e785d69b574388f48eb77ee2b4642ea6f3d0203131971ae8f4

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:a96846169f7b6199132c4f914a51a843024b7c17add031558c216de457b930c0

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=sha256:6f648cee2d7977054255c7feead21ce7dc9014c57d5ec5a37afbf8b0807a9a2a

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

source=pdf_text observed=2026-05-18T18:52:07.782615Z digest=sha256:5fb706ff99b46674462ce608db3f4c167621929cc773d3caa15e280289f08998

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=sha256:9351c333b995dc47f492d5824dd114ef25a81bdc4271a7043645c468ad454d8b

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=sha256:758989d8a25251f8f04f75c52f46df27032f8d809653cd0b0dbfee5073eba962

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

source=pdf_text observed=2026-05-13T18:54:48.724976Z digest=sha256:f53e6b213e8f18c52f600c0453223a1118118365045f37d55b341b3b278d5138

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

source=pdf_text observed=2026-05-10T20:27:30.544350Z digest=sha256:7b332236d4a3b1e0fe85b2a9d9dd0a303893729507081a234a0f1e3e7bdc71ab

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

source=pdf_text observed=2026-05-09T21:02:05.741128Z digest=sha256:40748ebfaafba33f55164fbb2f07f7c0c00c38f45d5cd7003f5c52bc221b4572

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

source=pdf_text observed=2026-05-09T16:33:19.023106Z digest=sha256:2e84d23cdd78738f3d92da1bb400a212b2c60d63719e9e7aa659db0e87f93089

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

source=pdf_text observed=2026-05-25T05:55:52.178306Z digest=sha256:378889fc99c4a6ca5f9b7a8bc435f265b08b9d11bd6f69b5ec1f9cf101c81715

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

source=pdf_text observed=2026-06-28T13:47:32.138077Z digest=sha256:d30d17f85a70c072d49724a3f5a5bfa87aba0fc0772fd779c966c3e5479bab30