Pith Number

pith:ZDAR7IVL

pith:2013:ZDAR7IVLNKANWA4IUMAWRCIVTH

not attested not anchored not stored refs pending

The Domination Number of Generalized Petersen Graphs with a Faulty Vertex

Jun-Lin Guo, Kuo-Hua Wu, Ton Kloks, Yue-Li Wang

arxiv:1305.1366 v2 · 2013-05-07 · math.GR · 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{ZDAR7IVLNKANWA4IUMAWRCIVTH}

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	2026-05-18T03:14:19.504781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8c11fa2ab6a80db0388a30168891599decff2193fd6271455904be111a6dda7

Aliases

arxiv: 1305.1366 · arxiv_version: 1305.1366v2 · doi: 10.48550/arxiv.1305.1366 · pith_short_12: ZDAR7IVLNKAN · pith_short_16: ZDAR7IVLNKANWA4I · pith_short_8: ZDAR7IVL

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/ZDAR7IVLNKANWA4IUMAWRCIVTH \
  | 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: c8c11fa2ab6a80db0388a30168891599decff2193fd6271455904be111a6dda7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "648ac38ae83519f13c12b2edbeb2ea655ebb581bab14677a2e36bd6d6da3ca3e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-07T00:47:55Z",
    "title_canon_sha256": "cd77d48adb558e4c17d9c0e70bd737f82088dff2d199126f0cdd6173251123a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1366",
    "kind": "arxiv",
    "version": 2
  }
}