Paper Citation Record · LEDGER

Gravitational lensing and shadow by a Schwarzschild-like black hole in metric-affine bumblebee gravity

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2409.12531.

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

pith.paper-citation-record.v1
2409.12531 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T21:39:59.786633Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T10:06:02.156907Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
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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 875ece3b-dee5-4fe1-bd33-091bc1c6934a · inbound

Quasinormal Modes and Dynamical Evolution of Scalar Fields in the Einstein-Bumblebee Theory with a Cosmological Constant cites this paper.

Quasinormal Modes and Dynamical Evolution of Scalar Fields in the Einstein-Bumblebee Theory with a Cosmological Constant Gravitational lensing and shadow by a Schwarzschild-like black hole in metric-affine bumblebee gravity

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-08T21:39:59.786633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 187a106e-baec-41d7-9664-819f4b50cc0a · inbound

Beyond general relativity: gravitational waves in non-minimally coupled theories cites this paper.

Beyond general relativity: gravitational waves in non-minimally coupled theories Gravitational lensing and shadow by a Schwarzschild-like black hole in metric-affine bumblebee gravity

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-04T07:34:06.139556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 082d2b52-8cad-4476-8f1d-cf74739fa322 · inbound

Equatorial periodic orbits and gravitational wave signatures in Euler-Heisenberg black holes surrounded by perfect fluid dark matter cites this paper.

Equatorial periodic orbits and gravitational wave signatures in Euler-Heisenberg black holes surrounded by perfect fluid dark matter Gravitational lensing and shadow by a Schwarzschild-like black hole in metric-affine bumblebee gravity

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-11T10:06:02.160117Z

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 1d29de38-f975-49ec-b145-1ea4726c4716 · inbound

Reference-renormalized curvature-primitive Gauss-Bonnet formalism for finite-distance weak gravitational lensing in static spherical spacetimes cites this paper.

Reference-renormalized curvature-primitive Gauss-Bonnet formalism for finite-distance weak gravitational lensing in static spherical spacetimes Gravitational lensing and shadow by a Schwarzschild-like black hole in metric-affine bumblebee gravity

Reference 23

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T07:37:04.783342Z

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.