Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Investigating strong gravitational lensing effects by suppermassive black holes with Horndeski gravity
As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2109.04450.
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 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:51:11.292578Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T16:20:03.873515Z
Reference resolution
0 of 0 outbound references displayed
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- malformed identifier0
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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 cb8616e1-e5e5-413a-a743-616dc6cd8753 · inbound
Strong gravitational lensing effects around rotating regular black holes cites this paper.
Strong gravitational lensing effects around rotating regular black holes Investigating strong gravitational lensing effects by suppermassive black holes with Horndeski gravity
Reference 50
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T23:00:04.912493Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 257efe16-2303-488b-95af-9b2ed0805a87 · inbound
Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow cites this paper.
Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow Investigating strong gravitational lensing effects by suppermassive black holes with Horndeski gravity
Reference 73
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T16:20:03.984269Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6ccd0003-0bc0-4425-af97-6eedd63e0d25 · inbound
Probing Lorentz Symmetry Violation through Lensing Observables of Rotating Black Holes cites this paper.
Probing Lorentz Symmetry Violation through Lensing Observables of Rotating Black Holes Investigating strong gravitational lensing effects by suppermassive black holes with Horndeski gravity
Reference 59
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:51:11.292578Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8feed2d9-ac52-44bf-accd-05d78dfc0bf1 · inbound
Optical Landscapes and High-Energy Collisions in Hairy Horndeski Gravity cites this paper.
Optical Landscapes and High-Energy Collisions in Hairy Horndeski Gravity Investigating strong gravitational lensing effects by suppermassive black holes with Horndeski gravity
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T00:59:01.778734Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.