Pith Number

pith:OLFB2UEZ

pith:2013:OLFB2UEZ37HLJJ7VKY66ZMRYZ4

not attested not anchored not stored refs pending

Total domination multisubdivision number of a graph

Diana Avella-Alaminos, Magda Dettlaff, Magdalena Lema\'nska, Rita Zuazua

arxiv:1309.7228 v1 · 2013-09-27 · 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{OLFB2UEZ37HLJJ7VKY66ZMRYZ4}

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	2026-05-18T03:11:59.827871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72ca1d5099dfceb4a7f5563decb238cf2417baab69ee9e5f9d79b1f19bf49bfa

Aliases

arxiv: 1309.7228 · arxiv_version: 1309.7228v1 · doi: 10.48550/arxiv.1309.7228 · pith_short_12: OLFB2UEZ37HL · pith_short_16: OLFB2UEZ37HLJJ7V · pith_short_8: OLFB2UEZ

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/OLFB2UEZ37HLJJ7VKY66ZMRYZ4 \
  | 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: 72ca1d5099dfceb4a7f5563decb238cf2417baab69ee9e5f9d79b1f19bf49bfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39c627acab22902ddf99cf28ebe46df57bf38d3c7a869969425108772b4b4075",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-27T13:17:06Z",
    "title_canon_sha256": "bddee5f03de4b60e0a63fb945943f86f0956381c50f95664c0ed78979d6e717d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7228",
    "kind": "arxiv",
    "version": 1
  }
}