Paper Citation Record · LEDGER

Geometric Approach to Circular Photon Orbits and Black Hole Shadows

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2204.07297.

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

pith.paper-citation-record.v1
2204.07297 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 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 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:46:10.786752Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T19:52:35.797797Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
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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 98bd8f88-aa45-4089-b201-4bd7b3126cf8 · inbound

Gaussian curvature and Lyapunov exponent as probes of black hole phase transitions cites this paper.

Gaussian curvature and Lyapunov exponent as probes of black hole phase transitions Geometric Approach to Circular Photon Orbits and Black Hole Shadows

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-05T05:46:10.786752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 418ec032-0d20-4834-aa8a-3631e0ac01c9 · inbound

Photon Spheres and shadow of modified black-hole entropies cites this paper.

Photon Spheres and shadow of modified black-hole entropies Geometric Approach to Circular Photon Orbits and Black Hole Shadows

Reference 77

Resolution: verified exact; arxiv_id, observed 2026-05-11T16:01:05.663036Z

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.

Observation 1d3f27fa-bfae-4b1d-9f7c-b238b2712a56 · inbound

Photon Spheres and shadow of modified black-hole entropies cites this paper.

Photon Spheres and shadow of modified black-hole entropies Geometric Approach to Circular Photon Orbits and Black Hole Shadows

Reference 81

Resolution: verified exact; arxiv_id, observed 2026-05-12T07:46:54.393355Z

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.

Observation 0934c9e2-dd6c-4e89-94a9-4358d1203971 · inbound

Photon Spheres and shadow of modified black-hole entropies cites this paper.

Photon Spheres and shadow of modified black-hole entropies Geometric Approach to Circular Photon Orbits and Black Hole Shadows

Reference 81

Resolution: verified exact; arxiv_id, observed 2026-05-14T21:39:28.949068Z

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.

Observation 0f7ea48b-1edd-47ee-9f0a-500c1a565ff2 · inbound

A perturbative geometric approach for photon spheres, massive particle surfaces and black hole shadows with mass variations cites this paper.

A perturbative geometric approach for photon spheres, massive particle surfaces and black hole shadows with mass variations Geometric Approach to Circular Photon Orbits and Black Hole Shadows

Reference 18

Resolution: malformed identifier; arxiv_id, observed 2026-06-28T19:52:35.799574Z

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.