Pith Number

pith:NW52DRKV

pith:2017:NW52DRKV4ZTPYP2YL3ASGO5ZLS

not attested not anchored not stored refs pending

On the Union-Closed Sets Conjecture

Yining Hu

arxiv:1706.06167 v1 · 2017-06-19 · 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{NW52DRKV4ZTPYP2YL3ASGO5ZLS}

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.

Receipt and verification

First computed	2026-05-18T00:42:04.095065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dbba1c555e666fc3f585ec1233bb95c910af40e140966be087f5a28546b57ff

Aliases

arxiv: 1706.06167 · arxiv_version: 1706.06167v1 · doi: 10.48550/arxiv.1706.06167 · pith_short_12: NW52DRKV4ZTP · pith_short_16: NW52DRKV4ZTPYP2Y · pith_short_8: NW52DRKV

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/NW52DRKV4ZTPYP2YL3ASGO5ZLS \
  | 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: 6dbba1c555e666fc3f585ec1233bb95c910af40e140966be087f5a28546b57ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce443dbda27a5bab710b28d3b34eb52ee9a08af98cc0578421a59604bee553b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-19T20:39:25Z",
    "title_canon_sha256": "54fad5bb73536cf250f3eb37f41c58c385afcec492fdc12261c9c56a1ccedfbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06167",
    "kind": "arxiv",
    "version": 1
  }
}