Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Stochastic Models for the 3x+1 and 5x+1 Problems
As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:0910.1944.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T23:12:50.156073Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-11T23:12:50.588691Z
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 3a2f39b5-1171-453c-a211-3e7fa73d89d9 · inbound
$\left(p,q\right)$-adic Analysis and the Collatz Conjecture cites this paper.
$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Stochastic Models for the 3x+1 and 5x+1 Problems
Reference 84
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T23:12:50.591644Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.