Pith Number

pith:5JI3G3KK

pith:2016:5JI3G3KKO3BRIS3IQGPF65G4BB

not attested not anchored not stored refs pending

The number of labeled graphs of bounded treewidth

Ignasi Sau, Julien Baste, Marc Noy

arxiv:1604.07273 v1 · 2016-04-25 · math.CO · cs.DM · 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{5JI3G3KKO3BRIS3IQGPF65G4BB}

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	2026-05-18T01:16:22.556155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea51b36d4a76c3144b68819e5f74dc084e9e89d16089174a700ea1e39ab0c275

Aliases

arxiv: 1604.07273 · arxiv_version: 1604.07273v1 · doi: 10.48550/arxiv.1604.07273 · pith_short_12: 5JI3G3KKO3BR · pith_short_16: 5JI3G3KKO3BRIS3I · pith_short_8: 5JI3G3KK

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/5JI3G3KKO3BRIS3IQGPF65G4BB \
  | 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: ea51b36d4a76c3144b68819e5f74dc084e9e89d16089174a700ea1e39ab0c275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1835f7d737f545ea00d7a3daec6b12f27f1cc6363a77f05a51758136dcef5804",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-25T14:22:58Z",
    "title_canon_sha256": "2a85c15c6b59eb7148ccd409d1f1c977d146e58ff6c3609f0b3b2dd008452b09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07273",
    "kind": "arxiv",
    "version": 1
  }
}