Pith Number

pith:WGLKJACW

pith:2013:WGLKJACWRKPWRLJJTQ264EOPAG

not attested not anchored not stored refs pending

On the strong metric generators of strong product graphs

Dorota Kuziak, Ismael G. Yero, Juan A. Rodr\'iguez-Vel\'azquez

arxiv:1307.4724 v1 · 2013-07-17 · 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{WGLKJACWRKPWRLJJTQ264EOPAG}

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	2026-05-18T03:18:17.305099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b196a480568a9f68ad299c35ee11cf01b63db9b79731ccc18e1e8f713c2d869b

Aliases

arxiv: 1307.4724 · arxiv_version: 1307.4724v1 · doi: 10.48550/arxiv.1307.4724 · pith_short_12: WGLKJACWRKPW · pith_short_16: WGLKJACWRKPWRLJJ · pith_short_8: WGLKJACW

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/WGLKJACWRKPWRLJJTQ264EOPAG \
  | 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: b196a480568a9f68ad299c35ee11cf01b63db9b79731ccc18e1e8f713c2d869b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dde77187fc29cd171cca30aef6bc45a7fd6c69b239f6db8679781263d308794",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-17T18:45:30Z",
    "title_canon_sha256": "cb46a7a72a7e6dad9340b0b3ad43b29d005a940dc12437b0a063f405ab1b8fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4724",
    "kind": "arxiv",
    "version": 1
  }
}