Pith Number

pith:WBT2A4EY

pith:2013:WBT2A4EYXJCPYM6HKYA6VHS6SF

not attested not anchored not stored refs pending

Identifying codes of Cartesian product of two cliques

Kaishun Wang, Min Feng, Yingnan Zhang

arxiv:1305.5148 v5 · 2013-05-22 · 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{WBT2A4EYXJCPYM6HKYA6VHS6SF}

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	2026-05-18T02:32:00.381062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b067a07098ba44fc33c75601ea9e5e91602ef4a0c6ad6145254909b986205f19

Aliases

arxiv: 1305.5148 · arxiv_version: 1305.5148v5 · doi: 10.48550/arxiv.1305.5148 · pith_short_12: WBT2A4EYXJCP · pith_short_16: WBT2A4EYXJCPYM6H · pith_short_8: WBT2A4EY

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/WBT2A4EYXJCPYM6HKYA6VHS6SF \
  | 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: b067a07098ba44fc33c75601ea9e5e91602ef4a0c6ad6145254909b986205f19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "721f86405eaefc0bbc8a83512089eaa6ce819df43a2f6df7cc74bd5aa8285167",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-22T14:28:48Z",
    "title_canon_sha256": "0e32c4bb76ce493d1eadd4540712cd8887eef469d8ba6a8094e3183beef867a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5148",
    "kind": "arxiv",
    "version": 5
  }
}