Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
The structure and density of $k$-product-free sets in the free semigroup
As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2305.05304.
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 2026-08-01T17:18:22.159616Z
A source-named dated measurement, never combined with another source.
Source: cited_works
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 7d5944b1-2414-4a47-860b-c7112e151b90 · inbound
Counting subsets of integers free of arithmetic configurations cites this paper.
Counting subsets of integers free of arithmetic configurations The structure and density of $k$-product-free sets in the free semigroup
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T17:18:22.159616Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.