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Paper Citation Record · LEDGER

Consistency relations of amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing

As of 8 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2604.02216.

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

pith.paper-citation-record.v1
2604.02216 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T13:55:29.370527Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T09:43:30.229255Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T09:43:48.469739Z

Reference resolution

10 of 10 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 58636a2d-c094-49c8-ad0d-f3abf9bf766c · outbound

This paper cites Observation of Gravitational Waves from a Binary Black Hole Merger.

Consistency relations of amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing Observation of Gravitational Waves from a Binary Black Hole Merger

Reference 1

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no resolver link, observed 2026-07-13T13:55:29.370527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T13:55:29.370527Z digest=sha256:8fb9e01a02429c51d7bcdebc98f7fd8a5c3bc03fae275d8318c62f29ad6cc17f

Observation d7ed9732-b864-46ed-a0fb-6070ef4cdf77 · outbound

This paper cites Wave Optics in Gravitational Lensing.

Consistency relations of amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing Wave Optics in Gravitational Lensing

Reference 2

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no resolver link, observed 2026-07-13T13:55:29.370527Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T13:55:29.370527Z digest=sha256:d54e33b4e01900060ca88b7028b3ca20c2a53b0652478940778a86e1b5ed7a6b

Observation 0679bd2d-e105-4528-b4b3-9ea6b2948304 · outbound

This paper cites Strong gravitational lensing of explosive transients.

Consistency relations of amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing Strong gravitational lensing of explosive transients

Reference 3

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unresolved
no resolver link, observed 2026-07-13T13:55:29.370527Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T13:55:29.370527Z digest=sha256:ffe2502fcc17f12987ba7bee702394ff8c0912414f0e8aacfbd7882dec48109e

Observation bfc431bb-fd1a-4957-932c-24a150033c6c · outbound

This paper cites Amplitude and Phase Fluctuations for Gravitational Waves Propagating through Inhomogeneous Mass Distribution in the Universe.

Consistency relations of amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing Amplitude and Phase Fluctuations for Gravitational Waves Propagating through Inhomogeneous Mass Distribution in the Universe

Reference 4

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unresolved
no resolver link, observed 2026-07-13T13:55:29.370527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T13:55:29.370527Z digest=sha256:557b0ad0e2786a7e5d363b7147bdd8c8a99292218d0e8a673bef3d8033ca6f87

Observation 996b1868-8082-43fa-bd17-e0db20a077bd · outbound

This paper cites Probing Dark Low-mass Halos and Primordial Black Holes with Frequency-dependent Gravitational Lensing Dispersions of Gravitational Waves.

Consistency relations of amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing Probing Dark Low-mass Halos and Primordial Black Holes with Frequency-dependent Gravitational Lensing Dispersions of Gravitational Waves

Reference 5

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unresolved
no resolver link, observed 2026-07-13T13:55:29.370527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T13:55:29.370527Z digest=sha256:d86bb38d4ea2cef388674b2804741c5e3481b3044bc6cfff924a288a116b6f7e

Observation 16136c4e-6d78-45ba-aec7-aedd12da6bb1 · outbound

This paper cites Novel Quantity for Probing Matter Perturbations Below the Fresnel Scale in Gravitational Lensing of Gravitational Waves.

Consistency relations of amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing Novel Quantity for Probing Matter Perturbations Below the Fresnel Scale in Gravitational Lensing of Gravitational Waves

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-13T13:55:29.370527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T13:55:29.370527Z digest=sha256:ddae2087add1aa3ee02fa4fed276d4eb1bf67a69a68736ed1edb562cbe5eb2fe

Observation 6f57ef1a-cb4c-43b2-9ff2-376253872679 · outbound

This paper cites Weak lensing of gravitational waves in wave optics: Beyond the Born approximation.

Consistency relations of amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing Weak lensing of gravitational waves in wave optics: Beyond the Born approximation

Reference 7

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unresolved
no resolver link, observed 2026-07-13T13:55:29.370527Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T13:55:29.370527Z digest=sha256:36d8da768a12b190ca02b8162215a4dfb6f8d71e51451d965f9b4cd1123b9f0e

Observation 805ed52d-7390-46b6-a414-bdad99ac54f2 · outbound

This paper cites Universal relation between the variances of distortions of gravitational waves owing to gravitational lensing.

Consistency relations of amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing Universal relation between the variances of distortions of gravitational waves owing to gravitational lensing

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-13T13:55:29.370527Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T13:55:29.370527Z digest=sha256:0033b19a3ee71702d7da9dcf882918b3026f81f476623bbd861e721a1029c529

Observation 25f3b359-d870-4941-8479-d10dc07b4722 · outbound

This paper cites New Consistency Relations between Averages and Variances of Weakly Lensed Signals of Gravitational Waves.

Consistency relations of amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing New Consistency Relations between Averages and Variances of Weakly Lensed Signals of Gravitational Waves

Reference 9

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unresolved
no resolver link, observed 2026-07-13T13:55:29.370527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T13:55:29.370527Z digest=sha256:720c3ab5ba833a1be501212fb60acd01cccef0b62186619d9de44494e9f282ee

Observation 2a419faa-ca4d-4b2a-a43d-394f3ee00bda · outbound

This paper cites Amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing.

Consistency relations of amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing Amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing

Reference 10

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unresolved
no resolver link, observed 2026-07-13T13:55:29.370527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T13:55:29.370527Z digest=sha256:2561b50f9202f81d8cd22df62d64c01aa6d6488e9e3006efe05bf0ffee60f408

Pith citing papers

Observation 71291707-2450-4caf-9a80-5479e4e5ef9f · inbound

Gravitational-wave lensing beyond rays: a disordered-system approach cites this paper.

Gravitational-wave lensing beyond rays: a disordered-system approach Consistency relations of amplitude and phase fluctuations of gravitational waves magnified by strong gravitational lensing

Reference 31

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verified exact
arxiv_id, observed 2026-07-07T02:16:08.215225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T09:43:30.229255Z digest=sha256:7132fd30546c6e909d6c4f69287b449e7c11fd5f02238cb4b3b5155496d86f8d