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Paper Citation Record · LEDGER

A comparison of approximate gravitational lens equations and a proposal for an improved new one

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:0807.3872.

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

pith.paper-citation-record.v1
0807.3872 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 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:33:40.577963Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T16:51:11.726519Z

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 5cf122a5-5041-46ff-9407-e6c9434cb06b · 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 A comparison of approximate gravitational lens equations and a proposal for an improved new one

Reference 172

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:51:11.729972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:51:11.654695Z digest=sha256:7196ec3b601c1ed9c6e0cd008f60e4f9c037c9fb7f5103b32e08618d773069e4

Observation 1c576e21-d1ee-403a-8c1d-f20c3fd957ed · inbound

Phase-plane formulation of weak gravitational deflection in static spherical spacetimes cites this paper.

Phase-plane formulation of weak gravitational deflection in static spherical spacetimes A comparison of approximate gravitational lens equations and a proposal for an improved new one

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-16T00:33:40.577963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:33:40.577963Z digest=sha256:2c549826054775cac6574d8c7df5391a88767d0109d1cb27e119539a2092606d