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Paper Citation Record · LEDGER

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

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 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

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 2026-08-11T06:34:44.6726+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:00:04.662477Z

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

Reference resolution

0 of 0 outbound references displayed

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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 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.

source=pdf_text observed=2026-08-10T23:00:04.662477Z digest=sha256:a8b04b93c628858bbba9ec380ebbb44987aed252978c0defd65824adc64b6843

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-10T17:27:08.924918Z digest=sha256:3ae0b105c000069fc6bdc61b4593086e274416ce780ec23cb3c2fc0af3b2b2ee

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-20T17:01:21.317822Z digest=sha256:a7b5ecfc0783be5696227129affdb661fb106bf36d62738beed869e7fafa6102

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.

source=pdf_text observed=2026-08-03T02:30:14.754251Z digest=sha256:c5a87200a59b6706727d191e476ebfa099de272290941f1dc6a2abd8cabb23f0

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-20T09:37:18.289640Z digest=sha256:3ec66537d6d8f8756d2ad596a09f91d2c661d0baa11b0a31466d829fe854a3d3