Pith Number

pith:ZU7FI3OS

pith:2015:ZU7FI3OSX5TTIGZI2UQLGSMTFX

not attested not anchored not stored refs pending

Beyond Level Planarity

Fabrizio Frati, Giordano Da Lozzo, Giuseppe Di Battista, Ignaz Rutter, Maurizio Patrignani, Patrizio Angelini

arxiv:1510.08274 v4 · 2015-10-28 · cs.DS · 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{ZU7FI3OSX5TTIGZI2UQLGSMTFX}

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	2026-05-18T01:07:51.096994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd3e546dd2bf67341b28d520b349932defe2d9683261585c77596d7d6a1cc1de

Aliases

arxiv: 1510.08274 · arxiv_version: 1510.08274v4 · doi: 10.48550/arxiv.1510.08274 · pith_short_12: ZU7FI3OSX5TT · pith_short_16: ZU7FI3OSX5TTIGZI · pith_short_8: ZU7FI3OS

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/ZU7FI3OSX5TTIGZI2UQLGSMTFX \
  | 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: cd3e546dd2bf67341b28d520b349932defe2d9683261585c77596d7d6a1cc1de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3db2d16ded01bcc42b14c7e605efd2e05080b0e918116a807fe20f6e77e2279c",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-10-28T12:00:16Z",
    "title_canon_sha256": "16753505fc6755d9f1e194f24133751fddc586b58a6a246c0917a19ce44e4597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08274",
    "kind": "arxiv",
    "version": 4
  }
}