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Paper Citation Record · LEDGER

Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2212.13311.

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

pith.paper-citation-record.v1
2212.13311 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T23:50:42.591365Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T20:53:58.264109Z

Reference resolution

0 of 0 outbound references displayed

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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 d2071a2a-a210-47bc-aceb-2142958bf98a · inbound

Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic cites this paper.

Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-08T23:50:42.591365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T23:50:42.591365Z digest=sha256:8c00ecfc40cd83a073840f29db28cc61ff525825c3e306d2fddb4478ca68344a

Observation a14fab70-0ff2-4ca5-a8ba-7817b2ccf31c · 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 Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-05T05:46:10.965244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:46:10.965244Z digest=sha256:02d78401eef83a0d1c7fe6a364886cc95da9ab434e62980a21c5de4d6e9e25a6

Observation 41147665-ed5a-4715-b213-7df7752dfe92 · inbound

Periodic orbits and gravitational waveforms around a Schwarzschild black hole with a cloud of strings embedded in perfect fluid dark matter cites this paper.

Periodic orbits and gravitational waveforms around a Schwarzschild black hole with a cloud of strings embedded in perfect fluid dark matter Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-06-29T20:53:58.265479Z

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.

source=pdf_text observed=2026-06-29T20:49:17.961170Z digest=sha256:ca6f77132dc76ee2cad5f0472ccaf437a2cdbaa32bf9105c3f058875c7fe621c