Pith Number

pith:37ZXACCS

pith:2010:37ZXACCSJXPOVA7GF4WRLB5OS6

not attested not anchored not stored refs pending

Counting Connected Set Partitions of Graphs

Frank Simon, Martin Trinks, Peter Tittmann

arxiv:1005.1726 v2 · 2010-05-11 · 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{37ZXACCSJXPOVA7GF4WRLB5OS6}

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	2026-05-18T02:24:08.500016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dff37008524ddeea83e62f2d1587ae9786664bc98922e0c39bf42aba9d2894b5

Aliases

arxiv: 1005.1726 · arxiv_version: 1005.1726v2 · doi: 10.48550/arxiv.1005.1726 · pith_short_12: 37ZXACCSJXPO · pith_short_16: 37ZXACCSJXPOVA7G · pith_short_8: 37ZXACCS

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/37ZXACCSJXPOVA7GF4WRLB5OS6 \
  | 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: dff37008524ddeea83e62f2d1587ae9786664bc98922e0c39bf42aba9d2894b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f133ca625ac8d55c2d5923fc78d91e1e2247beefa2b2dfd14c75c0b0e872fcc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-05-11T06:44:44Z",
    "title_canon_sha256": "68810817fd9e7b08fcf3cec209fdfd15e5a002a86296a631c24dee653f3a9246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1726",
    "kind": "arxiv",
    "version": 2
  }
}