Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Quasinormal Modes of Black Holes with Multiple Photon Spheres
As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2112.14133.
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 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:42:33.392596Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-15T14:46:08.044469Z
Reference resolution
0 of 0 outbound references displayed
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- 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 4a56ee75-4e4f-4396-a106-b5146c2aa645 · inbound
Spin-induced Scalarized Black Holes in Einstein-Maxwell-scalar Models cites this paper.
Spin-induced Scalarized Black Holes in Einstein-Maxwell-scalar Models Quasinormal Modes of Black Holes with Multiple Photon Spheres
Reference 50
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:42:33.392596Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c225b75c-001f-4669-870c-a40bf91d0141 · inbound
Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres cites this paper.
Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Quasinormal Modes of Black Holes with Multiple Photon Spheres
Reference 73
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T16:40:22.408740Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 507d276c-d013-4681-892b-f399195b0c6f · 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 Quasinormal Modes of Black Holes with Multiple Photon Spheres
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T05:46:08.307479Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b790760a-0563-4e37-ab58-8ecdc3b92bec · inbound
Mapping Quasi-Periodic Oscillations to Lyapunov Exponent across Black Hole Thermodynamic Phase Transitions cites this paper.
Mapping Quasi-Periodic Oscillations to Lyapunov Exponent across Black Hole Thermodynamic Phase Transitions Quasinormal Modes of Black Holes with Multiple Photon Spheres
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T09:50:01.745936Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51d7e71a-895f-4e3a-973a-e1175cf674bd · inbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations cites this paper.
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Quasinormal Modes of Black Holes with Multiple Photon Spheres
Reference 85
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T14:17:32.398906Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7bcd0958-b6c7-425b-bb0a-9e070e2bd400 · inbound
Strong-deflection expansion of the deflection angle near a degenerate photon sphere cites this paper.
Strong-deflection expansion of the deflection angle near a degenerate photon sphere Quasinormal Modes of Black Holes with Multiple Photon Spheres
Reference 62
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T14:46:08.046184Z
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.