Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
On the monotonicity of the generalized Markov numbers
As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2204.11443.
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 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T22:02:00.976419Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-10T06:01:13.290371Z
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 c0e7bd74-441f-49f9-9801-696446b085fc · inbound
A cluster theory approach from mutation invariants to Diophantine equations cites this paper.
A cluster theory approach from mutation invariants to Diophantine equations On the monotonicity of the generalized Markov numbers
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T20:12:38.051589Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cd4545fa-0aa4-415d-837c-622b369717a5 · inbound
Orderings of Generalized k-Markov Numbers cites this paper.
Orderings of Generalized k-Markov Numbers On the monotonicity of the generalized Markov numbers
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T06:01:13.291721Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b2f2edfb-5aba-46a6-9126-00630fed4fe3 · inbound
Mutation-preserving generalized cluster algebras and Laurent mutation invariants cites this paper.
Mutation-preserving generalized cluster algebras and Laurent mutation invariants On the monotonicity of the generalized Markov numbers
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T22:02:00.976419Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.