Pith Number

pith:MG3HXU3C

pith:2012:MG3HXU3CVCJENYOYWEYFON4B2T

not attested not anchored not stored refs pending

Odd 2-factored snarks

D.Labbate, J.Sheehan, M.Abreu, R.Rizzi

arxiv:1210.8101 v2 · 2012-10-30 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MG3HXU3CVCJENYOYWEYFON4B2T}

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	2026-05-18T02:29:39.379419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b67bd362a89246e1d8b130573781d4e943b865825dbf3752bcd8d899d9b274

Aliases

arxiv: 1210.8101 · arxiv_version: 1210.8101v2 · doi: 10.48550/arxiv.1210.8101 · pith_short_12: MG3HXU3CVCJE · pith_short_16: MG3HXU3CVCJENYOY · pith_short_8: MG3HXU3C

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/MG3HXU3CVCJENYOYWEYFON4B2T \
  | 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: 61b67bd362a89246e1d8b130573781d4e943b865825dbf3752bcd8d899d9b274

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af2547eaae39afe699978d95de685b8ec6d2688dcc902764407c70c54ddfcea2",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-30T18:00:41Z",
    "title_canon_sha256": "9c0f13bb6bc52fc870c9108a2e8bda26320fa39d744a711e02bb69c19bdfb686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8101",
    "kind": "arxiv",
    "version": 2
  }
}