Pith Number

pith:6NYM5H62

pith:2012:6NYM5H62PMILWDRV6TT33QL5HN

not attested not anchored not stored refs pending

Partitions of graphs into small and large sets

Adriana Hansberg, Asen Bojilov, Nedyalko Nenov, Yair Caro

arxiv:1205.1727 v1 · 2012-05-08 · 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{6NYM5H62PMILWDRV6TT33QL5HN}

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	2026-05-18T03:56:09.290273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f370ce9fda7b10bb0e35f4e7bdc17d3b7bae05c9302721dd5d358c7ba155a98c

Aliases

arxiv: 1205.1727 · arxiv_version: 1205.1727v1 · doi: 10.48550/arxiv.1205.1727 · pith_short_12: 6NYM5H62PMIL · pith_short_16: 6NYM5H62PMILWDRV · pith_short_8: 6NYM5H62

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/6NYM5H62PMILWDRV6TT33QL5HN \
  | 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: f370ce9fda7b10bb0e35f4e7bdc17d3b7bae05c9302721dd5d358c7ba155a98c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a742ff9c8141a2ede20762e1328d643853ccc80aee23acf55a3ad0a31474e1ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-08T15:32:00Z",
    "title_canon_sha256": "c21fd2da39bdad71f748d32f0ca27e362bb69a1869d318cc5a75a4493773e883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1727",
    "kind": "arxiv",
    "version": 1
  }
}