Paper Citation Record · LEDGER

On the exact gravitational lens equation in spherically symmetric and static spacetimes

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:gr-qc/0307072.

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

pith.paper-citation-record.v1
gr-qc/0307072 v2

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measured 0 of 0 reference resolution

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Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:33:40.291171Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-20T17:03:37.400212Z

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External citation measurements

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Outbound references

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Pith citing papers

Observation 53e008c2-a50d-4dc9-946f-16d9878675ef · inbound

Strong gravitational lensing effects around rotating regular black holes cites this paper.

Strong gravitational lensing effects around rotating regular black holes On the exact gravitational lens equation in spherically symmetric and static spacetimes

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T23:00:04.662477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a189972e-5a42-4ee7-a342-908be3e7bce9 · 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 On the exact gravitational lens equation in spherically symmetric and static spacetimes

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T16:51:11.146315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbe93b1d-6aa2-4543-948c-a1e5d9752bdc · inbound

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

Relative Magnification Factor of Point Sources on Accretion Disks On the exact gravitational lens equation in spherically symmetric and static spacetimes

Reference 70

Resolution: verified exact; arxiv_id, observed 2026-05-11T06:46:42.033383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a92b9957-b66f-409e-9603-2b3bdc9ec710 · inbound

Observational signatures of negative mass wormholes through their shadows cites this paper.

Observational signatures of negative mass wormholes through their shadows On the exact gravitational lens equation in spherically symmetric and static spacetimes

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-05-20T17:03:37.401593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 37722ecd-708e-42b4-8f5e-2dbb42dcbf79 · inbound

Observational signatures of negative mass wormholes through their shadows cites this paper.

Observational signatures of negative mass wormholes through their shadows On the exact gravitational lens equation in spherically symmetric and static spacetimes

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T02:30:14.754251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b4326c2-0133-4aab-98a3-bdb89de75b61 · inbound

Gravitational lensing time delay beyond the Shapiro/geometry split cites this paper.

Gravitational lensing time delay beyond the Shapiro/geometry split On the exact gravitational lens equation in spherically symmetric and static spacetimes

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-05-20T09:38:10.562775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9689cf4c-5549-4d7f-80c5-15185a95dbe9 · 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 On the exact gravitational lens equation in spherically symmetric and static spacetimes

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T00:33:40.291171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.