Pith Number

pith:NMRXMR6C

pith:2012:NMRXMR6C3YOWXZ2FABAB7KDGUF

not attested not anchored not stored refs pending

Small oriented cycle double cover of graphs

Behnaz Omoomi, Behrooz Bagheri Gh.

arxiv:1207.5122 v2 · 2012-07-21 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMRXMR6C3YOWXZ2FABAB7KDGUF}

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	2026-05-18T03:17:44.669465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b237647c2de1d6be74500401fa866a1491719057e68ac3b461df3f4989a2b3f

Aliases

arxiv: 1207.5122 · arxiv_version: 1207.5122v2 · doi: 10.48550/arxiv.1207.5122 · pith_short_12: NMRXMR6C3YOW · pith_short_16: NMRXMR6C3YOWXZ2F · pith_short_8: NMRXMR6C

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/NMRXMR6C3YOWXZ2FABAB7KDGUF \
  | 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: 6b237647c2de1d6be74500401fa866a1491719057e68ac3b461df3f4989a2b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0c14cf9f79b8278c094552b58338b57434678243ebf1bc159387f34b4138a60",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-21T11:20:33Z",
    "title_canon_sha256": "e3619d1e547653d628e93e7823232797116bf158f4884f27e7d18d37aeeafb29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5122",
    "kind": "arxiv",
    "version": 2
  }
}