Pith Number

pith:YQ6GBECZ

pith:2012:YQ6GBECZUP7GSKI2N2MVJ5YLT3

not attested not anchored not stored refs pending

On the fractional metric dimension of corona product graphs and lexicographic product graphs

Kaishun Wang, Min Feng

arxiv:1206.1906 v1 · 2012-06-09 · 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{YQ6GBECZUP7GSKI2N2MVJ5YLT3}

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	2026-05-18T02:25:10.789507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c43c609059a3fe69291a6e9954f70b9ee9d98fecd5d917599db10dd0d2b42064

Aliases

arxiv: 1206.1906 · arxiv_version: 1206.1906v1 · doi: 10.48550/arxiv.1206.1906 · pith_short_12: YQ6GBECZUP7G · pith_short_16: YQ6GBECZUP7GSKI2 · pith_short_8: YQ6GBECZ

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/YQ6GBECZUP7GSKI2N2MVJ5YLT3 \
  | 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: c43c609059a3fe69291a6e9954f70b9ee9d98fecd5d917599db10dd0d2b42064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71dea8d44c2820db6b309ffcd82b47c27012a3061e20f51d5206eb2a256f1d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-09T04:45:29Z",
    "title_canon_sha256": "1df4c44bb2a50f9edd306ab5d425fa3cf5831feac1308481d01238f0ee25048b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1906",
    "kind": "arxiv",
    "version": 1
  }
}