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Paper Citation Record · LEDGER

Null Geodesics in Perturbed Spacetimes

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:astro-ph/9303020.

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

pith.paper-citation-record.v1
astro-ph/9303020 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 2026-08-07T06:34:17.273281+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:32:32.394030Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

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

External citation measurements

63
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation d58f9e0f-8c96-4721-b265-d8ef1640be7c · inbound

Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens cites this paper.

Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens Null Geodesics in Perturbed Spacetimes

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T00:32:32.394030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:32:32.394030Z digest=sha256:ef3cda7c85e5cfce4ca8c9a2f5493269b38edb565b10ce01453edd834b677d12

Observation ae17f265-69c4-4459-b37c-afe94222578d · inbound

Taking Inventory of the Most Promising Lensed Radio Sources for Constraining Fundamental Properties of Dark Matter cites this paper.

Taking Inventory of the Most Promising Lensed Radio Sources for Constraining Fundamental Properties of Dark Matter Null Geodesics in Perturbed Spacetimes

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-05-20T04:58:03.269821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-11T11:50:26.030339Z digest=sha256:b9d0bf0665c5efccd1ee66e96c62d63ecea5fb76f91222f77a31bc518ec7cd2d

Observation 80bebd11-14fe-490d-a103-4eb0cfc9c68f · inbound

Thermal Sunyaev-Zel'dovich cross-correlations with unWISE galaxies: disentangling radio contamination, dust properties, and electron pressure cites this paper.

Thermal Sunyaev-Zel'dovich cross-correlations with unWISE galaxies: disentangling radio contamination, dust properties, and electron pressure Null Geodesics in Perturbed Spacetimes

Reference 162

Resolution
verified exact
local_arxiv, observed 2026-06-29T03:03:03.666662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-11T11:50:26.030339Z digest=sha256:a1256974956db167cefe29ca9beed928931fedc78160abe7d3bcd2db1b878a6e