Pith Number

pith:5NT5GVMJ

pith:2017:5NT5GVMJCG2MKIRMONFVUOF34V

not attested not anchored not stored refs pending

The Geodetic Hull Number is Hard for Chordal Graphs

Dieter Rautenbach, Lucia D. Penso, Mitre C. Dourado, St\'ephane Bessy

arxiv:1704.02242 v1 · 2017-03-28 · 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{5NT5GVMJCG2MKIRMONFVUOF34V}

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	2026-05-18T00:46:50.310722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb67d3558911b4c5222c734b5a38bbe561b69bd183aac07f543064fc63e8c290

Aliases

arxiv: 1704.02242 · arxiv_version: 1704.02242v1 · doi: 10.48550/arxiv.1704.02242 · pith_short_12: 5NT5GVMJCG2M · pith_short_16: 5NT5GVMJCG2MKIRM · pith_short_8: 5NT5GVMJ

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/5NT5GVMJCG2MKIRMONFVUOF34V \
  | 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: eb67d3558911b4c5222c734b5a38bbe561b69bd183aac07f543064fc63e8c290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ee4dc3e5b4987106401b4b3926bdaf994e4ba57f9230fd695e00739d65fc68d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-03-28T15:23:04Z",
    "title_canon_sha256": "ab27697b45d9b68a1aaeebafbe6f078240e21068dbe42881f6bab5c1cae2e1ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02242",
    "kind": "arxiv",
    "version": 1
  }
}