Paper Citation Record · LEDGER

Topological Charge and Black Hole Photon Spheres

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:2006.02112.

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

pith.paper-citation-record.v1
2006.02112 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 11 of 11 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 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:09:28.517478Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T18:52:48.388049Z

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 80493877-7302-4534-a066-d1ddc36deabf · inbound

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

Radii of spherical timelike geodesics in Kerr-Newman black holes Topological Charge and Black Hole Photon Spheres

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:28.517478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bdbfa44-ed38-4227-966b-e5b33fbf2bdb · 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 Topological Charge and Black Hole Photon Spheres

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-05T15:39:28.476610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2afc109e-df69-4914-a411-1a1cdb5ff001 · 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 Topological Charge and Black Hole Photon Spheres

Reference 133

Resolution: unresolved; no resolver link, observed 2026-08-05T12:00:47.814388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 406b06f0-3dca-452e-b4db-d86ee7b39d57 · inbound

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

Topological charge and black hole photon spheres in massive gravity Topological Charge and Black Hole Photon Spheres

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-18T18:52:48.390826Z

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.

Observation bda539a2-cef8-4467-bd33-edbbcc23872d · inbound

Thermodynamic Topology of 4D Charged AdS Black Holes with $F^{\alpha\beta}F^{\gamma\lambda}R_{\alpha\gamma\beta\lambda}$ Coupling cites this paper.

Thermodynamic Topology of 4D Charged AdS Black Holes with $F^{\alpha\beta}F^{\gamma\lambda}R_{\alpha\gamma\beta\lambda}$ Coupling Topological Charge and Black Hole Photon Spheres

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T22:55:56.174740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c963db7c-5c63-4eca-a103-2989380ec24a · inbound

A Topological Origin of Black Hole Mass cites this paper.

A Topological Origin of Black Hole Mass Topological Charge and Black Hole Photon Spheres

Reference 15

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T18:58:08.782464Z

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.

Observation 58958a9d-a92b-4162-9261-07f0ac0e8297 · inbound

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

Gravity/thermodynamics correspondence via black hole shadows Topological Charge and Black Hole Photon Spheres

Reference 45

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T21:55:51.620004Z

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.

Observation 1175cba8-04f8-4d3f-8843-4921eb601cae · inbound

Topologically equivalent yet radiatively distinct orbits in EMRI system cites this paper.

Topologically equivalent yet radiatively distinct orbits in EMRI system Topological Charge and Black Hole Photon Spheres

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-10T13:05:24.567596Z

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.

Observation cf5f5ca9-72c9-401d-99fb-38ccb7778b0e · inbound

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

Topology of black hole thermodynamics: A brief review Topological Charge and Black Hole Photon Spheres

Reference 33

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T14:47:10.232522Z

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.

Observation 949532de-c019-46df-bf79-e241d36c6dd7 · inbound

Topological charges and confined-deconfined phase transition in holography cites this paper.

Topological charges and confined-deconfined phase transition in holography Topological Charge and Black Hole Photon Spheres

Reference 17

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T15:31:07.102123Z

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.

Observation 2c76a09d-51cc-40ea-bce6-8f4a84df8fad · 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 Topological Charge and Black Hole Photon Spheres

Reference 35

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T16:31:06.936080Z

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.