Pith Number

pith:XVQZHRCJ

pith:2013:XVQZHRCJSYSKLKZ6PSBEBJO5PA

not attested not anchored not stored refs pending

Maximum degree in minor-closed classes of graphs

Dieter Mitsche, Marc Noy, Omer Gimenez

arxiv:1304.5049 v1 · 2013-04-18 · 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{XVQZHRCJSYSKLKZ6PSBEBJO5PA}

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	2026-05-18T03:27:41.964111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd6193c4499624a5ab3e7c8240a5dd78378ca8ee745f581cd84ecb52303fff4b

Aliases

arxiv: 1304.5049 · arxiv_version: 1304.5049v1 · doi: 10.48550/arxiv.1304.5049 · pith_short_12: XVQZHRCJSYSK · pith_short_16: XVQZHRCJSYSKLKZ6 · pith_short_8: XVQZHRCJ

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/XVQZHRCJSYSKLKZ6PSBEBJO5PA \
  | 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: bd6193c4499624a5ab3e7c8240a5dd78378ca8ee745f581cd84ecb52303fff4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c922379dc1cc0b7cf6969c74f0368e64c509db2055cdcb20fb1f512805fdc6de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-18T08:27:21Z",
    "title_canon_sha256": "90c9da652457b8f0436a93c48fcfb40401f1e390ddc7a4bd0c80e2b8d629d5b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5049",
    "kind": "arxiv",
    "version": 1
  }
}