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Paper Citation Record · LEDGER

Circular orbit of a particle and weak gravitational lensing

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2006.13047.

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

pith.paper-citation-record.v1
2006.13047 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:46:35.264773Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T15:43:03.553975Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
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  • 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 800b8551-f08c-4ece-a994-35207c94f127 · inbound

Charged black holes in Kalb-Ramond gravity: Weak Deflection Angle, Shadow cast, Quasinormal Modes and Neutrino annihilation cites this paper.

Charged black holes in Kalb-Ramond gravity: Weak Deflection Angle, Shadow cast, Quasinormal Modes and Neutrino annihilation Circular orbit of a particle and weak gravitational lensing

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-07T14:46:35.264773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:46:35.264773Z digest=sha256:f1c85a595bf755c065521533f4ac2b3c73f427a98be4479650978f335b858b2e

Observation 1f48aefc-ca2b-4938-9a50-dd723f7a3656 · inbound

Extended uncertainty principle inspired black hole in a G\"odel Universe cites this paper.

Extended uncertainty principle inspired black hole in a G\"odel Universe Circular orbit of a particle and weak gravitational lensing

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T12:17:40.026119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:17:40.026119Z digest=sha256:0f21f6be5f498169d11e43843750555981d574feaf69c1761877acaecaff19cd

Observation 303ad024-ebe8-4dce-8566-68986f7a2ab4 · 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 Circular orbit of a particle and weak gravitational lensing

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-05T05:46:10.924322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:46:10.924322Z digest=sha256:24a2b52ed83b8a853c836ed18b3c60218e64334eb87692b70cda3342abf7aecc

Observation 84d107e6-2891-4371-9b7b-854225dcc34e · inbound

Boundary-only weak deflection angles from isothermal optical geometry cites this paper.

Boundary-only weak deflection angles from isothermal optical geometry Circular orbit of a particle and weak gravitational lensing

Reference 58

Resolution
verified exact
arxiv_id, observed 2026-05-16T15:43:03.555773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T15:42:53.936778Z digest=sha256:1e59c2b350cfdbb3666157fc4b1ea7c01199dc25a92aa8c02ae408233a215d98

Observation 964002da-d1a3-46c2-902c-0cdb68a556ad · inbound

Breaking Parameter Degeneracies in a Magnetically Charged Black Hole Embedded in a Hernquist Dark-Matter Halo: A Multi-Observable Analysis cites this paper.

Breaking Parameter Degeneracies in a Magnetically Charged Black Hole Embedded in a Hernquist Dark-Matter Halo: A Multi-Observable Analysis Circular orbit of a particle and weak gravitational lensing

Reference 64

Resolution
verified exact
arxiv_id, observed 2026-05-11T19:56:07.158347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-08T10:45:23.754251Z digest=sha256:316f83cffcb44a91689166fe609c9c28a0b4f8cef2adeff1148c511c130e5571