Pith Number

pith:WISXLYAE

pith:2012:WISXLYAEXCXQUEJK4YYGQPUFLL

not attested not anchored not stored refs pending

The p-Domination Number of Complete Multipartite Graphs

Jun-Ming Xu, You Lu

arxiv:1205.0102 v1 · 2012-05-01 · 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{WISXLYAEXCXQUEJK4YYGQPUFLL}

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	2026-05-18T03:56:35.877923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b22575e004b8af0a112ae630683e855adcb012ee76dfb64a26461be4dfdcbbb8

Aliases

arxiv: 1205.0102 · arxiv_version: 1205.0102v1 · doi: 10.48550/arxiv.1205.0102 · pith_short_12: WISXLYAEXCXQ · pith_short_16: WISXLYAEXCXQUEJK · pith_short_8: WISXLYAE

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/WISXLYAEXCXQUEJK4YYGQPUFLL \
  | 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: b22575e004b8af0a112ae630683e855adcb012ee76dfb64a26461be4dfdcbbb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c8c5cf771414f3376251989c5eea5c4b3ad0dbb1fed63b879c723243a36ba84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-01T07:24:38Z",
    "title_canon_sha256": "2d6297988dd36455a6a610aab0fec07bcd9230c5c3dc894dbcc9c0720c6c6837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0102",
    "kind": "arxiv",
    "version": 1
  }
}