Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
The Collatz Conjecture & Non-Archimedean Spectral Theory: Part I -- Arithmetic Dynamical Systems and Non-Archimedean Value Distribution Theory
As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2007.15936.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T04:17:02.803210Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-11T23:12:50.448271Z
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 f6cae548-5617-4ba4-9cd5-9bc0a9cd581e · inbound
$\left(p,q\right)$-adic Analysis and the Collatz Conjecture cites this paper.
$\left(p,q\right)$-adic Analysis and the Collatz Conjecture The Collatz Conjecture & Non-Archimedean Spectral Theory: Part I -- Arithmetic Dynamical Systems and Non-Archimedean Value Distribution Theory
Reference 144
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-11T23:12:50.451638Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 185b2477-cdd1-4ead-9418-81a6df989e6f · inbound
From Prediction to Incrementality: Causal Optimization for Large-Scale Targeting and Recommendation cites this paper.
From Prediction to Incrementality: Causal Optimization for Large-Scale Targeting and Recommendation The Collatz Conjecture & Non-Archimedean Spectral Theory: Part I -- Arithmetic Dynamical Systems and Non-Archimedean Value Distribution Theory
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:17:02.803210Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.