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Paper Citation Record · LEDGER

Gravitational lensing by a black hole in effective loop quantum gravity

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2111.07223.

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

pith.paper-citation-record.v1
2111.07223 v2

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 2026-08-10T06:31:04.303077+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T17:26:52.763265Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T14:46:08.096596Z

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

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation c2cc9e1a-a917-4979-bcae-be24a5d8453a · inbound

Observable thin accretion disk around a self-dual black hole in loop quantum gravity cites this paper.

Observable thin accretion disk around a self-dual black hole in loop quantum gravity Gravitational lensing by a black hole in effective loop quantum gravity

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-04T17:26:52.763265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T17:26:52.763265Z digest=sha256:b112e07f7649c641e07716d08772a0e15e1a55a56fc21739c2cf6cb087fffe28

Observation e89780da-3dfb-4ac5-af9e-024cecc987f8 · 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 black hole in effective loop quantum gravity

Reference 31

Resolution
verified exact
arxiv_id, observed 2026-05-15T14:46:08.099883Z

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=2026-05-15T14:43:36.202568Z digest=sha256:72b4822e8c2d9d3adfd617b86d821b5cc3ebe81a94c484651fd3c416664dcfd2

Observation 722e236a-20fa-4bb5-8e94-646d7b198e27 · inbound

Particle motions and gravitational waveforms in rotating black hole spacetimes of loop quantum gravity cites this paper.

Particle motions and gravitational waveforms in rotating black hole spacetimes of loop quantum gravity Gravitational lensing by a black hole in effective loop quantum gravity

Reference 58

Resolution
verified exact
arxiv_id, observed 2026-05-15T00:58:25.949607Z

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=2026-05-15T00:56:02.789832Z digest=sha256:d9bc451effed5127ab3515a03b24eae0567c818e7d6072e143feb834e10240af

Observation ce01b701-ba90-46c9-8130-0f4b4b6f7c01 · inbound

Relative Magnification Factor of Point Sources on Accretion Disks cites this paper.

Relative Magnification Factor of Point Sources on Accretion Disks Gravitational lensing by a black hole in effective loop quantum gravity

Reference 60

Resolution
verified exact
arxiv_id, observed 2026-05-11T06:46:44.939739Z

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=2026-05-10T17:27:08.924918Z digest=sha256:a7418ef8fc975d349c96f9d5e62185c113d57800119cd6eb53862896e678224b