Pith Number

pith:BXVVEVVW

pith:2013:BXVVEVVWQI67VJJNA2EG4EOLD6

not attested not anchored not stored refs pending

The metric dimension of strong product graphs

Dorota Kuziak, Ismael G. Yero, Jose M. Sigarreta, Juan A. Rodriguez-Velazquez

arxiv:1305.0363 v1 · 2013-05-02 · 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{BXVVEVVWQI67VJJNA2EG4EOLD6}

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	2026-05-18T01:33:57.221482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0deb5256b6823dfaa52d06886e11cb1faf0dee58cbf48e90bbb53fe2d3e89d31

Aliases

arxiv: 1305.0363 · arxiv_version: 1305.0363v1 · doi: 10.48550/arxiv.1305.0363 · pith_short_12: BXVVEVVWQI67 · pith_short_16: BXVVEVVWQI67VJJN · pith_short_8: BXVVEVVW

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/BXVVEVVWQI67VJJNA2EG4EOLD6 \
  | 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: 0deb5256b6823dfaa52d06886e11cb1faf0dee58cbf48e90bbb53fe2d3e89d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e58f4a3754253db0d002527177bf5ee726135ddefa967d017d7e225e7d498278",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-02T08:00:26Z",
    "title_canon_sha256": "d45372b1f8027a7fd3e97e1273f5a34d565cfce0e230f56e43a2607bd4d66e8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0363",
    "kind": "arxiv",
    "version": 1
  }
}