Paper Citation Record · LEDGER

Better bounds for the union-closed sets conjecture using the entropy approach

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2212.12500.

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

pith.paper-citation-record.v1
2212.12500 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:09:04.016595Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T17:33:15.924178Z

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 7bc24bfa-9e8b-4c3c-bc88-34fe31586406 · inbound

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

Redundancy Is All You Need (for CSP Sparsification) Better bounds for the union-closed sets conjecture using the entropy approach

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-23T17:33:15.927069Z

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 eba2fac8-fc24-423e-9eb9-91e0acbf46ab · inbound

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

Frequent elements in union-closed set families Better bounds for the union-closed sets conjecture using the entropy approach

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T22:09:04.016595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c52f1d65-5b4b-44a4-a50a-53aa95c57ae2 · inbound

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

Entropy approach for a generalization of Frankl's conjecture Better bounds for the union-closed sets conjecture using the entropy approach

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T13:54:05.612828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6327d76f-c9b6-4d9a-a906-416eb54e7bd0 · inbound

Entropy methods in combinatorics cites this paper.

Entropy methods in combinatorics Better bounds for the union-closed sets conjecture using the entropy approach

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-31T15:36:53.754478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.