Paper Citation Record · LEDGER

A constant lower bound for the union-closed sets conjecture

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2211.09055.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2211.09055 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:09:04.032512Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-23T17:33:15.929015Z

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 dc300945-7cf3-4c72-9151-a53e8f78e783 · inbound

Redundancy Is All You Need (for CSP Sparsification) cites this paper.

Redundancy Is All You Need (for CSP Sparsification) A constant lower bound for the union-closed sets conjecture

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-23T17:33:15.932131Z

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 b6a324c9-4f08-485a-b825-0adef542d99e · inbound

Frequent elements in union-closed set families cites this paper.

Frequent elements in union-closed set families A constant lower bound for the union-closed sets conjecture

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T22:09:04.032512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90c1811e-00cb-4b4d-8b4e-07f1e161a252 · inbound

Entropy approach for a generalization of Frankl's conjecture cites this paper.

Entropy approach for a generalization of Frankl's conjecture A constant lower bound for the union-closed sets conjecture

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T13:54:05.577544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8aa8522b-ea2d-4130-b918-961bbe959cf5 · inbound

A lemma on a finite union-closed family of finite sets and its applications cites this paper.

A lemma on a finite union-closed family of finite sets and its applications A constant lower bound for the union-closed sets conjecture

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T17:34:16.125245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 928274c6-8e74-412b-9546-04df3cbb63f0 · inbound

Multiplicative error set system sparsification: A simpler proof via chain length contraction cites this paper.

Multiplicative error set system sparsification: A simpler proof via chain length contraction A constant lower bound for the union-closed sets conjecture

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:01:09.122053Z

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 6649a5f9-2dd1-4b77-8196-86a398322ea6 · inbound

Entropy methods in combinatorics cites this paper.

Entropy methods in combinatorics A constant lower bound for the union-closed sets conjecture

Reference 43

Resolution: unresolved; no resolver link, observed 2026-07-31T15:36:55.484777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a0f8063-794e-4da7-b667-4c129809d303 · inbound

Supersaturation in union-closed families of sets cites this paper.

Supersaturation in union-closed families of sets A constant lower bound for the union-closed sets conjecture

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T16:32:04.114572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.