Pith Number

pith:D3U37FCO

pith:2012:D3U37FCOIKVF3TS7YGKWKLTVJQ

not attested not anchored not stored refs pending

Relaxing the Constraints of Clustered Planarity

Fabrizio Frati, Giordano Da Lozzo, Giuseppe Di Battista, Maurizio Patrignani, Patrizio Angelini, Vincenzo Roselli

arxiv:1207.3934 v4 · 2012-07-17 · cs.DM · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3U37FCOIKVF3TS7YGKWKLTVJQ}

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	2026-05-18T02:58:46.621620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ee9bf944e42aa5dce5fc195652e754c2e8be78dd36b65e37e80b91bf55c31d9

Aliases

arxiv: 1207.3934 · arxiv_version: 1207.3934v4 · doi: 10.48550/arxiv.1207.3934 · pith_short_12: D3U37FCOIKVF · pith_short_16: D3U37FCOIKVF3TS7 · pith_short_8: D3U37FCO

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/D3U37FCOIKVF3TS7YGKWKLTVJQ \
  | 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: 1ee9bf944e42aa5dce5fc195652e754c2e8be78dd36b65e37e80b91bf55c31d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c49f3bf1769c55915c2c7a9bb884c04303ceab1152dd27d962cfbe8023f0d2a",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-07-17T10:28:34Z",
    "title_canon_sha256": "e8b56e6b554671c2e13f66b62a6676080b7cde8ea6f42a7033f60d0e5564cbca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3934",
    "kind": "arxiv",
    "version": 4
  }
}