Pith Number

pith:QI6MPWPJ

pith:2012:QI6MPWPJIZJYNK5LQIQZP6JOV4

not attested not anchored not stored refs pending

Identifying codes of the direct product of two cliques

Douglas F. Rall, Kirsti Wash

arxiv:1206.3596 v1 · 2012-06-15 · 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{QI6MPWPJIZJYNK5LQIQZP6JOV4}

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	2026-05-18T03:53:19.392421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823cc7d9e9465386abab822197f92eaf032fccf85888438dc8f9b40413f6cae1

Aliases

arxiv: 1206.3596 · arxiv_version: 1206.3596v1 · doi: 10.48550/arxiv.1206.3596 · pith_short_12: QI6MPWPJIZJY · pith_short_16: QI6MPWPJIZJYNK5L · pith_short_8: QI6MPWPJ

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/QI6MPWPJIZJYNK5LQIQZP6JOV4 \
  | 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: 823cc7d9e9465386abab822197f92eaf032fccf85888438dc8f9b40413f6cae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb551fae6b3ad5ce90c22f935024a3127ed0a2bd278f6828dc06d321b2d989b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-15T21:02:07Z",
    "title_canon_sha256": "160938fdc07230bec752ea3028f8de9dbf436cd59cda726115a7d706513c3318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3596",
    "kind": "arxiv",
    "version": 1
  }
}