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Paper Citation Record · LEDGER

Shape of higher-order images of equatorial emission rings around a Schwarzschild black hole: Analytical description with polar curves

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2208.02084.

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

pith.paper-citation-record.v1
2208.02084 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:51:11.384041Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T23:44:26.708466Z

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 ad965d7b-3fcc-4a1b-8178-57a946a0b877 · inbound

Light Rings, Accretion Disks and Shadows of Hayward Boson Stars cites this paper.

Light Rings, Accretion Disks and Shadows of Hayward Boson Stars Shape of higher-order images of equatorial emission rings around a Schwarzschild black hole: Analytical description with polar curves

Reference 82

Resolution
verified exact
arxiv_id, observed 2026-05-21T23:44:26.710200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-21T23:42:13.280581Z digest=sha256:f1cf163a67a0e2260031f4c3410aec83e298faf7b26a34d867b92ab6e6e5d240

Observation dd4cd80f-33f3-4760-b280-3869a3300eea · 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 Shape of higher-order images of equatorial emission rings around a Schwarzschild black hole: Analytical description with polar curves

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-15T16:51:11.384041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:51:11.384041Z digest=sha256:e61000f31a99378fb193aa99c429a73f2191d13aaef808434130ddba3dc6b59b