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Paper Citation Record · LEDGER

Invariance transformations in wave-optics lensing: implications for gravitational-wave astrophysics and cosmology

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2408.03856.

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

pith.paper-citation-record.v1
2408.03856 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:56:19.648428Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T20:11:13.167016Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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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 e6d8ab6b-7082-47b4-95c6-9b44a5ce67cb · inbound

Detectability of lensed gravitational waves in matched-filtering searches cites this paper.

Detectability of lensed gravitational waves in matched-filtering searches Invariance transformations in wave-optics lensing: implications for gravitational-wave astrophysics and cosmology

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-12T16:56:19.648428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:56:19.648428Z digest=sha256:5a68dcf354674886bb6b6d7fb6e67565847275fe9af0808b1809afca8a805dc4

Observation 54dced41-8378-4802-af3b-3c14aea04202 · inbound

Parameter estimation of microlensed gravitational waves with Conditional Variational Autoencoders cites this paper.

Parameter estimation of microlensed gravitational waves with Conditional Variational Autoencoders Invariance transformations in wave-optics lensing: implications for gravitational-wave astrophysics and cosmology

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-12T05:20:01.406580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:20:01.406580Z digest=sha256:1a1907f70924fee31480715d24119ffdbcdd12928302905738c7388cfcfd8abd

Observation 152a4540-5592-4b18-9ea4-4b32e15b8041 · inbound

Detection of Lensed Gravitational Waves in the Millihertz Band Using Frequency-Domain Lensing Feature Extraction Network cites this paper.

Detection of Lensed Gravitational Waves in the Millihertz Band Using Frequency-Domain Lensing Feature Extraction Network Invariance transformations in wave-optics lensing: implications for gravitational-wave astrophysics and cosmology

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-05-16T20:11:13.169494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-16T20:10:23.514610Z digest=sha256:4f59644cdc1205cb0e39455941492ff5026795246bbb20955d3c7940a09aa23c

Observation 97448d71-743a-4bd2-aef9-0d547c58b1d0 · inbound

Probability of gravitational-wave lensing by intermediate-mass black holes and globular clusters cites this paper.

Probability of gravitational-wave lensing by intermediate-mass black holes and globular clusters Invariance transformations in wave-optics lensing: implications for gravitational-wave astrophysics and cosmology

Reference 113

Resolution
unresolved
no resolver link, observed 2026-08-11T00:33:04.681660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T00:33:04.681660Z digest=sha256:a1755f4152fb282aa5fd440dbc27c4417476d7b98788c2d9bb57d9a3d9cd4e69