Pith Number

pith:VM2UIZKG

pith:2013:VM2UIZKGYD5ZO5TTQTY7FBXIVC

not attested not anchored not stored refs pending

Partial Star Products: A Local Covering Approach for the Recognition of Approximate Cartesian Product Graphs

Marc Hellmuth, Tomas Kupka, Wilfried Imrich

arxiv:1303.6803 v3 · 2013-03-27 · cs.DM · 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{VM2UIZKGYD5ZO5TTQTY7FBXIVC}

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	2026-05-18T02:47:53.089889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab35446546c0fb97767384f1f286e8a88003b0aa337e333b0be07e70258c0757

Aliases

arxiv: 1303.6803 · arxiv_version: 1303.6803v3 · doi: 10.48550/arxiv.1303.6803 · pith_short_12: VM2UIZKGYD5Z · pith_short_16: VM2UIZKGYD5ZO5TT · pith_short_8: VM2UIZKG

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/VM2UIZKGYD5ZO5TTQTY7FBXIVC \
  | 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: ab35446546c0fb97767384f1f286e8a88003b0aa337e333b0be07e70258c0757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efdb9d335f8b16be7c17f8799ad0e93d4a264cdc0215f9294cf7f42d4a9e7170",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-03-27T12:16:31Z",
    "title_canon_sha256": "530c35db4125fbef50a637c7ed83f1cf81b66d50c8b4f606443100847e538c36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6803",
    "kind": "arxiv",
    "version": 3
  }
}