Pith Number

pith:XPDLE6RU

pith:2015:XPDLE6RUVJEHMZ7TNBFCPQ2LXO

not attested not anchored not stored refs pending

Cubic Graphs with Total Domatic Number at Least Two

Mohammad Motiei, Sahand Mozaffari, Saieed Akbari, Sina Yazdanbod

arxiv:1512.04748 v1 · 2015-12-15 · 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{XPDLE6RUVJEHMZ7TNBFCPQ2LXO}

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	2026-05-18T01:24:15.674445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc6b27a34aa487667f3684a27c34bbb8de9ba726e076c28f4b480aecee4d1f8

Aliases

arxiv: 1512.04748 · arxiv_version: 1512.04748v1 · doi: 10.48550/arxiv.1512.04748 · pith_short_12: XPDLE6RUVJEH · pith_short_16: XPDLE6RUVJEHMZ7T · pith_short_8: XPDLE6RU

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/XPDLE6RUVJEHMZ7TNBFCPQ2LXO \
  | 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: bbc6b27a34aa487667f3684a27c34bbb8de9ba726e076c28f4b480aecee4d1f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ed927caa9cc64a1ed0efbe98d218057dcc6170ea11b56749d6067e1fa731ebe",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-15T12:10:26Z",
    "title_canon_sha256": "3272932cb0f67d21a3f9d8e1b358035e0df9d5bd8c392b88c23203b09febb26b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04748",
    "kind": "arxiv",
    "version": 1
  }
}