Pith Number

pith:44AJRV2D

pith:2012:44AJRV2DJQ5JO235CQTQM36KJG

not attested not anchored not stored refs pending

A graph minors characterization of signed graphs whose signed Colin de Verdi\`ere parameter $\nu$ is two

Frank J. Hall, Hein van der Holst, Marina Arav, Zhongshan Li

arxiv:1209.4628 v1 · 2012-09-20 · 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{44AJRV2DJQ5JO235CQTQM36KJG}

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	2026-05-18T03:45:11.103961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e70098d7434c3a976b7d1427066fca49896fd7846b1bcfad1a4b33c360fd5015

Aliases

arxiv: 1209.4628 · arxiv_version: 1209.4628v1 · doi: 10.48550/arxiv.1209.4628 · pith_short_12: 44AJRV2DJQ5J · pith_short_16: 44AJRV2DJQ5JO235 · pith_short_8: 44AJRV2D

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/44AJRV2DJQ5JO235CQTQM36KJG \
  | 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: e70098d7434c3a976b7d1427066fca49896fd7846b1bcfad1a4b33c360fd5015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "196d27bc77e6fb637c524280f9c2d124ee4e98314a3ea714fc33b241ad59e167",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-20T19:39:20Z",
    "title_canon_sha256": "b99520776a4c37c0a37c72761d42b6b384a05393e93fd99a9a5856c55972fa18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4628",
    "kind": "arxiv",
    "version": 1
  }
}