Pith Number

pith:BKTUEBQD

pith:2022:BKTUEBQDM6LRITCG5HCVB37X36

not attested not anchored not stored refs pending

Notes on the Union Closed Sets Conjecture

Nicolas Nagel

arxiv:2208.03803 v2 · 2022-08-07 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKTUEBQDM6LRITCG5HCVB37X36}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

A lemma on a finite union-closed family of finite sets and its applications

Receipt and verification

First computed	2026-07-05T05:57:31.672434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa74206036797144c46e9c550eff7dfbd9847bd535b8d89e6de51901d700937

Aliases

arxiv: 2208.03803 · arxiv_version: 2208.03803v2 · doi: 10.48550/arxiv.2208.03803 · pith_short_12: BKTUEBQDM6LR · pith_short_16: BKTUEBQDM6LRITCG · pith_short_8: BKTUEBQD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BKTUEBQDM6LRITCG5HCVB37X36 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0aa74206036797144c46e9c550eff7dfbd9847bd535b8d89e6de51901d700937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2df95599fe63bddea8f7bb4522cb604d71af6fa9e795a8014fdd15ea6634881d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-08-07T20:29:19Z",
    "title_canon_sha256": "d39f7752de3d15d0fef25a26436be78889dcdb5b4d55a8ef9ac3de09a2208c3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.03803",
    "kind": "arxiv",
    "version": 2
  }
}