Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Chaotic Solutions and Black Hole Shadow in $f(R)$ gravity
As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2103.16856.
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 2026-08-15T18:39:40.984899Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-11T16:21:21.434835Z
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 bd03cbd7-13f2-4c9b-9fca-b40c6f6ac340 · inbound
Bounds for Lyapunov exponent of circular light orbits in black holes cites this paper.
Bounds for Lyapunov exponent of circular light orbits in black holes Chaotic Solutions and Black Hole Shadow in $f(R)$ gravity
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T16:21:21.440376Z
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 edcf778b-382e-4fe3-9e9e-5e362037295a · inbound
Schwarzschild Black Holes Immersed in Born-Infeld Magnetic Fields and Their Observational Signatures cites this paper.
Schwarzschild Black Holes Immersed in Born-Infeld Magnetic Fields and Their Observational Signatures Chaotic Solutions and Black Hole Shadow in $f(R)$ gravity
Reference 56
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:39:40.984899Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8b27480-75b9-4ec0-afc2-9bfe8c0219a0 · inbound
Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos cites this paper.
Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos Chaotic Solutions and Black Hole Shadow in $f(R)$ gravity
Reference 95
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T00:03:50.764481Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.