Pith Number

pith:QDQMJK4N

pith:2012:QDQMJK4NMZPVZ4D7JMNLJKKDZY

not attested not anchored not stored refs pending

Fork-forests in bi-colored complete bipartite graphs

Georg Osang, Ignaz Rutter, Marcus Krug, Maria Axenovich

arxiv:1201.2551 v1 · 2012-01-12 · cs.DM · 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{QDQMJK4NMZPVZ4D7JMNLJKKDZY}

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	2026-05-18T04:04:44.171647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80e0c4ab8d665f5cf07f4b1ab4a943ce367ed4d8fe8526d55b3ed5db93dfad4a

Aliases

arxiv: 1201.2551 · arxiv_version: 1201.2551v1 · doi: 10.48550/arxiv.1201.2551 · pith_short_12: QDQMJK4NMZPV · pith_short_16: QDQMJK4NMZPVZ4D7 · pith_short_8: QDQMJK4N

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/QDQMJK4NMZPVZ4D7JMNLJKKDZY \
  | 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: 80e0c4ab8d665f5cf07f4b1ab4a943ce367ed4d8fe8526d55b3ed5db93dfad4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6b7fb45c1bf502d5b0c19497d28a5c9fb54e5c5125dfaa1fe8c04a48ef1bc6c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-01-12T12:51:45Z",
    "title_canon_sha256": "77f140c0d754c08223193b26f7304e64f7611be0ed7db5dfc565af58449376bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2551",
    "kind": "arxiv",
    "version": 1
  }
}