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Paper Citation Record · LEDGER

Path Integral Formulation for Wave Effect in Multi-lens System

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:astro-ph/0309696.

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

pith.paper-citation-record.v1
astro-ph/0309696 v1

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 2026-08-10T06:31:04.303077+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T06:58:20.531862Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-22T09:24:46.631569Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 019bdc59-b37c-4450-adda-d5f8b787eb15 · inbound

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

Gravitational-wave lensing beyond rays: a disordered-system approach Path Integral Formulation for Wave Effect in Multi-lens System

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-05-13T17:46:55.452610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T09:43:30.229255Z digest=sha256:2287834380e1d7f9b07567e9f26ec4ce157f2884f90c41c7c88d3021d074974c

Observation 3a8ca4e4-dc5e-4594-86d2-fc2b599a21bf · inbound

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

Wave-optics gravitational wave lensing in modified gravity Path Integral Formulation for Wave Effect in Multi-lens System

Reference 67

Resolution
metadata mismatch
local_arxiv, observed 2026-05-22T09:24:46.633788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-22T09:17:27.349353Z digest=sha256:53fa75866cbfe694d75b2ae93ed7c379e634a8eb749f0fb2ce67b8a3429223a8

Observation 02167fcf-9fd5-4327-9edc-ecfd794701c6 · inbound

Three-dimensional wave optics for weak-field lensing of gravitational waves cites this paper.

Three-dimensional wave optics for weak-field lensing of gravitational waves Path Integral Formulation for Wave Effect in Multi-lens System

Reference 54

Resolution
unresolved
no resolver link, observed 2026-07-11T06:58:20.531862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T06:58:20.531862Z digest=sha256:17b4ae5abddf19dc799d9f29083a7747eb6050544af5a27915625142f91b9add