Pith Number

pith:QEJNAN2O

pith:2011:QEJNAN2ORES5HGBCA7NOHEXKAP

not attested not anchored not stored refs pending

The Metric Dimension of Lexicographic Product of Graphs

Behnaz Omoomi, Mohsen Jannesari

arxiv:1103.3336 v1 · 2011-03-17 · 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{QEJNAN2ORES5HGBCA7NOHEXKAP}

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	2026-05-18T04:26:33.936442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8112d0374e8925d3982207dae392ea03d4d9cf6dd7a355f3cd791401fd2a33fe

Aliases

arxiv: 1103.3336 · arxiv_version: 1103.3336v1 · doi: 10.48550/arxiv.1103.3336 · pith_short_12: QEJNAN2ORES5 · pith_short_16: QEJNAN2ORES5HGBC · pith_short_8: QEJNAN2O

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/QEJNAN2ORES5HGBCA7NOHEXKAP \
  | 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: 8112d0374e8925d3982207dae392ea03d4d9cf6dd7a355f3cd791401fd2a33fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c5043ae61adf4b8330f8e70e2caf0e072f8ae9679e0e0a98936bc28508b981c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-17T05:29:26Z",
    "title_canon_sha256": "5ba690a1d7a893a20100da0e7b667674c0a48aef5c6d3471246c90aa034a9c51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3336",
    "kind": "arxiv",
    "version": 1
  }
}