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Paper Citation Record · LEDGER

Kramers-Kronig relation in gravitational lensing

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2303.05650.

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

pith.paper-citation-record.v1
2303.05650 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:06:42.695178Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T09:21:22.006244Z

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 f0dede64-eaad-4661-b895-be04e7a5ff1e · inbound

The Born approximation in wave optics gravitational lensing revisited cites this paper.

The Born approximation in wave optics gravitational lensing revisited Kramers-Kronig relation in gravitational lensing

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-11T19:06:42.695178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:06:42.695178Z digest=sha256:005be59848c28e5a797c026710e6bfcec5d1f1e44f49e1326b8d2efd73d1f6ed

Observation 1190c2af-b916-4d01-a517-a02ace58f52a · inbound

On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation cites this paper.

On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation Kramers-Kronig relation in gravitational lensing

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T11:34:26.479141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:34:26.479141Z digest=sha256:a98fcfa613773fab3e4149fd069b5b3a9c16c08237bb7d960695d7058db5e336

Observation 56efda01-a228-4cb4-9281-f20d9dc238c4 · inbound

Wave-optics gravitational wave lensing in modified gravity cites this paper.

Wave-optics gravitational wave lensing in modified gravity Kramers-Kronig relation in gravitational lensing

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-22T09:21:22.008737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-22T09:17:27.349353Z digest=sha256:6fc3afa6824125113188f5ff9f61119fce61f339f2bc721e408ba176db5c4418