Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T22:11:03.026287Z
Paper Citation Record · LEDGER
Further analysis on the second frequency of union-closed set families
As of 14 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 0 inbound Pith citation observations for arXiv:2412.03863.
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
2 of 2 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 04cc6297-2a89-4ad3-9543-70545d925e95 · outbound
This paper cites Frequent elements in union-closed set families.
Further analysis on the second frequency of union-closed set families Frequent elements in union-closed set families
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T22:11:03.023621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e3ecb13-629b-4787-a2ea-0ec401c1323b · outbound
This paper cites Notes on the Union Closed Sets Conjecture.
Further analysis on the second frequency of union-closed set families Notes on the Union Closed Sets Conjecture
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T22:11:03.026287Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.