Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Average magnification effect of clumping of matter
As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:astro-ph/0412275.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T05:52:30.401354Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T05:52:31.132778Z
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 339a08c1-56bf-435c-b31d-f0883f632c4e · inbound
Light path averages in spacetimes with non-vanishing average spatial curvature cites this paper.
Light path averages in spacetimes with non-vanishing average spatial curvature Average magnification effect of clumping of matter
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T05:52:31.136674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.