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Paper Citation Record · LEDGER

Gravitational lensing by a photon sphere in a Reissner-Nordstr\"{o}m naked singularity spacetime in strong deflection limits

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2107.07146.

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

pith.paper-citation-record.v1
2107.07146 v5

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 2026-08-15T06:32:42.880941+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:22:38.517052Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T14:46:08.063001Z

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 c5708b1b-e6fb-4f24-b2ac-c0b8d87df417 · inbound

Charged Binaries in Gravitational Tides cites this paper.

Charged Binaries in Gravitational Tides Gravitational lensing by a photon sphere in a Reissner-Nordstr\"{o}m naked singularity spacetime in strong deflection limits

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-12T22:03:05.020647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T22:03:05.020647Z digest=sha256:307cef35dccd57229327ef1c62c8f29776d40cdac503654ba9c99aae319f542c

Observation 827fad2a-508f-4520-b95f-f30f8d6129ac · inbound

Observational Signatures of Janis-Newman-Winicour Strongly Naked Singularity cites this paper.

Observational Signatures of Janis-Newman-Winicour Strongly Naked Singularity Gravitational lensing by a photon sphere in a Reissner-Nordstr\"{o}m naked singularity spacetime in strong deflection limits

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T20:22:38.517052Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:22:38.517052Z digest=sha256:544cadad8469aa04832482eeac7c439e34d1c7d4792c5b5386a5f11e6c76ff5d

Observation 65d47954-7f43-4b36-af7b-e0fd441d5f5b · inbound

Strong-deflection expansion of the deflection angle near a degenerate photon sphere cites this paper.

Strong-deflection expansion of the deflection angle near a degenerate photon sphere Gravitational lensing by a photon sphere in a Reissner-Nordstr\"{o}m naked singularity spacetime in strong deflection limits

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-15T14:46:08.065003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-15T14:43:36.202568Z digest=sha256:856ab849e205a022b38e1ea0e9dc00d89268d131e7416abb0e23d79e76247f7e