Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Almost all orbits of the Collatz map attain almost bounded values
As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1909.03562.
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 2026-08-11T23:12:50.340740Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-15T04:59:45.752884Z
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 d5f57d78-08ef-4940-9623-5053fa46c624 · inbound
$\left(p,q\right)$-adic Analysis and the Collatz Conjecture cites this paper.
$\left(p,q\right)$-adic Analysis and the Collatz Conjecture Almost all orbits of the Collatz map attain almost bounded values
Reference 149
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T23:12:50.340740Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation faac4cba-3859-4001-badd-63ee97a4106a · inbound
Parity vectors and paradoxical sequences in the accelerated Collatz map cites this paper.
Parity vectors and paradoxical sequences in the accelerated Collatz map Almost all orbits of the Collatz map attain almost bounded values
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-07-08T01:18:16.165840Z
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.
Observation d1efdfee-7099-4f6e-94e9-2136b6cebe16 · inbound
Christoffel words as extremal structures in Collatz dynamics cites this paper.
Christoffel words as extremal structures in Collatz dynamics Almost all orbits of the Collatz map attain almost bounded values
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T04:35:55.103536Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.