Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Improved Lower Bound for Frankl's Union-Closed Sets Conjecture
As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2211.11731.
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 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T12:14:06.468314Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-23T17:33:15.914616Z
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 18b06ac7-e5ea-4036-82d9-88a33ac54f87 · inbound
Redundancy Is All You Need (for CSP Sparsification) cites this paper.
Redundancy Is All You Need (for CSP Sparsification) Improved Lower Bound for Frankl's Union-Closed Sets Conjecture
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T17:33:15.917103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 17fabb8e-50ac-4b51-870f-df1c11d99ea0 · inbound
Entropy approach for a generalization of Frankl's conjecture cites this paper.
Entropy approach for a generalization of Frankl's conjecture Improved Lower Bound for Frankl's Union-Closed Sets Conjecture
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T13:54:05.591671Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49884886-a2e2-4a19-a6e8-c64ce069a4bc · inbound
On the Averaging Problem of Ideal Families Related to Frankl's Conjecture with Formal Proof by Lean 4 cites this paper.
On the Averaging Problem of Ideal Families Related to Frankl's Conjecture with Formal Proof by Lean 4 Improved Lower Bound for Frankl's Union-Closed Sets Conjecture
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T12:14:06.468314Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.