Pith Number

pith:76CTK7LB

pith:2013:76CTK7LBRFS67YMBDQFOETBB6H

not attested not anchored not stored refs pending

Graphs that do not contain a cycle with a node that has at least two neighbors on it

Kristina Vu\v{s}kovi\'c, Marko Radovanovi\'c, Nicolas Trotignon, Pierre Aboulker

arxiv:1309.1841 v1 · 2013-09-07 · 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{76CTK7LBRFS67YMBDQFOETBB6H}

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	2026-05-18T01:18:19.614792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff85357d618965efe1811c0ae24c21f1e5f89c56e6951fb948b3089b1fa5eebf

Aliases

arxiv: 1309.1841 · arxiv_version: 1309.1841v1 · doi: 10.48550/arxiv.1309.1841 · pith_short_12: 76CTK7LBRFS6 · pith_short_16: 76CTK7LBRFS67YMB · pith_short_8: 76CTK7LB

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/76CTK7LBRFS67YMBDQFOETBB6H \
  | 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: ff85357d618965efe1811c0ae24c21f1e5f89c56e6951fb948b3089b1fa5eebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06d290c81cce4aad30bf803dd648f12395f47e987f1cf33770e4712803816f99",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-09-07T08:32:13Z",
    "title_canon_sha256": "2aa704c329c7ed52b5945446816f0cf541e3ae776ca173bf8cdb1a2f921cd1a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1841",
    "kind": "arxiv",
    "version": 1
  }
}