Pith Number

pith:IWXESLGK

pith:2011:IWXESLGKIVWZQGA7QXAF4VOFRA

not attested not anchored not stored refs pending

Optimal Polygonal Representation of Planar Graphs

Christian A. Duncan, Emden R. Gansner, Michael Kaufmann, Stephen G. Kobourov, Yifan Hu

arxiv:1104.1482 v1 · 2011-04-08 · cs.CG · 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{IWXESLGKIVWZQGA7QXAF4VOFRA}

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	2026-05-18T02:22:10.395744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45ae492cca456d98181f85c05e55c58832d1da8a6d523a8e93f8c985a549e10c

Aliases

arxiv: 1104.1482 · arxiv_version: 1104.1482v1 · doi: 10.48550/arxiv.1104.1482 · pith_short_12: IWXESLGKIVWZ · pith_short_16: IWXESLGKIVWZQGA7 · pith_short_8: IWXESLGK

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/IWXESLGKIVWZQGA7QXAF4VOFRA \
  | 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: 45ae492cca456d98181f85c05e55c58832d1da8a6d523a8e93f8c985a549e10c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9dbd94b838dc73b13e3739c901069408c6d61e65bec797743404b9e3020d9c5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2011-04-08T05:10:36Z",
    "title_canon_sha256": "22a29f1b70db3692b0d4a5fcad8c6575574ea0626ab23ce21eec379881b0e1e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1482",
    "kind": "arxiv",
    "version": 1
  }
}