Pith Number

pith:NF3LYUWS

pith:2017:NF3LYUWSABO2MDP6FTQ4FYMQ2Q

not attested not anchored not stored refs pending

Recognizing Union-Find trees built up using union-by-rank strategy is NP-complete

Kitti Gelle, Szabolcs Ivan

arxiv:1704.07254 v1 · 2017-04-24 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NF3LYUWSABO2MDP6FTQ4FYMQ2Q}

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	2026-05-18T00:45:53.067576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6976bc52d2005da60dfe2ce1c2e190d40f3908c2d2f3a5d36bdc8cb809bd27af

Aliases

arxiv: 1704.07254 · arxiv_version: 1704.07254v1 · doi: 10.48550/arxiv.1704.07254 · pith_short_12: NF3LYUWSABO2 · pith_short_16: NF3LYUWSABO2MDP6 · pith_short_8: NF3LYUWS

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/NF3LYUWSABO2MDP6FTQ4FYMQ2Q \
  | 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: 6976bc52d2005da60dfe2ce1c2e190d40f3908c2d2f3a5d36bdc8cb809bd27af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df2d02a6406e27b8790aec2fb3ba6ffbb9b2e0bf9ff79fcb8be69cfa02f73132",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-04-24T14:29:28Z",
    "title_canon_sha256": "1cdf8e841d29ddd7e0895fbd703cfdecd02d065d918e36c09d2abdd4cbc95acf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07254",
    "kind": "arxiv",
    "version": 1
  }
}