Pith Number

pith:OMXKOKFC

pith:2014:OMXKOKFCOGTA3GPC6ZHJGNMOJU

not attested not anchored not stored refs pending

Closed formulae for the strong metric dimension of lexicographic product graphs

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

arxiv:1402.2663 v1 · 2014-02-11 · 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{OMXKOKFCOGTA3GPC6ZHJGNMOJU}

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	2026-05-18T02:59:17.712537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

732ea728a271a60d99e2f64e93358e4d0f32a7285009537d66c2fef2e345623e

Aliases

arxiv: 1402.2663 · arxiv_version: 1402.2663v1 · doi: 10.48550/arxiv.1402.2663 · pith_short_12: OMXKOKFCOGTA · pith_short_16: OMXKOKFCOGTA3GPC · pith_short_8: OMXKOKFC

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/OMXKOKFCOGTA3GPC6ZHJGNMOJU \
  | 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: 732ea728a271a60d99e2f64e93358e4d0f32a7285009537d66c2fef2e345623e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "957a9f43cf75ba4728e1a98e564f22a784920afa47956d50a697549b709ead5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-11T21:08:25Z",
    "title_canon_sha256": "d24ee2ccdb8eb93bf0cccfe1e126a255e579f764aad5abc450c4de01d1f93316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2663",
    "kind": "arxiv",
    "version": 1
  }
}