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Paper Citation Record · LEDGER

Notes on the Union Closed Sets Conjecture

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2208.03803.

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

pith.paper-citation-record.v1
2208.03803 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:11:03.026287Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T17:34:16.229472Z

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 ab290f20-d72a-42fa-a501-7c907739b9a9 · inbound

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

Frequent elements in union-closed set families Notes on the Union Closed Sets Conjecture

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T22:09:04.063445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:09:04.063445Z digest=sha256:4405970734c9464222713b0c2cdc2a61cf886e554e8618ce5e56eb6f10b4911c

Observation 3e3ecb13-629b-4787-a2ea-0ec401c1323b · inbound

Further analysis on the second frequency of union-closed set families cites this paper.

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.

source=pdf_text observed=2026-08-11T22:11:03.026287Z digest=sha256:fbccde8fe7459940fb3ce32bf84b30ba08c0631ac53b3de11072c835c68ea7e0

Observation 9f034ab0-ff82-46b6-8ded-8582edd1f974 · 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 Notes on the Union Closed Sets Conjecture

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-06T17:34:16.237053Z

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.

source=pdf_text observed=2026-08-06T17:34:16.154017Z digest=sha256:bfdb59a2463163c858f6fd8f29a8d60ab4564fbfb7c49df23384589c05ca356e