Pith Number

pith:ZNXH3C4R

pith:2010:ZNXH3C4RS2IKG4ZKH6AOZLCB6G

not attested not anchored not stored refs pending

Irreducible pseudo 2-factor isomorphic cubic bipartite graphs

D. Labbate, J. Sheehan, M. Abreu

arxiv:1002.1891 v1 · 2010-02-09 · 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{ZNXH3C4RS2IKG4ZKH6AOZLCB6G}

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	2026-05-18T02:29:44.474152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6e7d8b919690a3732a3f80ecac41f1b383cb2f5063c356a21f9d48007fadd7

Aliases

arxiv: 1002.1891 · arxiv_version: 1002.1891v1 · doi: 10.48550/arxiv.1002.1891 · pith_short_12: ZNXH3C4RS2IK · pith_short_16: ZNXH3C4RS2IKG4ZK · pith_short_8: ZNXH3C4R

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/ZNXH3C4RS2IKG4ZKH6AOZLCB6G \
  | 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: cb6e7d8b919690a3732a3f80ecac41f1b383cb2f5063c356a21f9d48007fadd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "960c1d542650b50da2b5cfef440e5d0f796624ae7db79091b9a74fa475f7c93c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-02-09T15:39:27Z",
    "title_canon_sha256": "333821341b3755c0df9fb7c8429c16f471002845dcb84e19eaee4e93d7389880"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1891",
    "kind": "arxiv",
    "version": 1
  }
}