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Paper Citation Record · LEDGER

Gravitational lensing by using the 0th order of affine perturbation series of the deflection angle of a ray near a photon sphere

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2211.04239.

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

pith.paper-citation-record.v1
2211.04239 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:42:57.258751Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T19:42:57.933165Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 78a7f2ce-1dea-4e75-b751-da8bac7ebb65 · inbound

Observing of background electromagnetic radiation of the real sky through the throat of a wormhole cites this paper.

Observing of background electromagnetic radiation of the real sky through the throat of a wormhole Gravitational lensing by using the 0th order of affine perturbation series of the deflection angle of a ray near a photon sphere

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-11T19:42:57.937465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T19:42:57.258751Z digest=sha256:8fc30536e916c698cfeb1e4b99423f5c3f0318721e515da12c795c4ec6242950