Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T05:46:10.786752Z
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
- 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 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.