Pith Number

pith:2KGPRPAS

pith:2012:2KGPRPASUHIY5E5DH5TX3U2MEF

not attested not anchored not stored refs pending

A note on planar partial 3-trees

Jan Kratochv\'il, Michal Vaner

arxiv:1210.8113 v1 · 2012-10-30 · 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{2KGPRPASUHIY5E5DH5TX3U2MEF}

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	2026-05-18T03:41:56.986774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d28cf8bc12a1d18e93a33f677dd34c216d6a5a4b75f0e0a22322eaf9ee85b907

Aliases

arxiv: 1210.8113 · arxiv_version: 1210.8113v1 · doi: 10.48550/arxiv.1210.8113 · pith_short_12: 2KGPRPASUHIY · pith_short_16: 2KGPRPASUHIY5E5D · pith_short_8: 2KGPRPAS

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/2KGPRPASUHIY5E5DH5TX3U2MEF \
  | 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: d28cf8bc12a1d18e93a33f677dd34c216d6a5a4b75f0e0a22322eaf9ee85b907

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f9be5257525a6f8cea0e9db960f8688ff3f1af48418377b7a685d374eee0431",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-10-30T18:31:36Z",
    "title_canon_sha256": "0c67bac450185a83e110525c6c95387df91a77caff0b7f3d7c185c5d04451579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8113",
    "kind": "arxiv",
    "version": 1
  }
}