Pith Number

pith:GC6NVS3X

pith:2017:GC6NVS3XAGVDVAEDUBIP3TZISE

not attested not anchored not stored refs pending

Infinitely many minimal classes of graphs of unbounded clique-width

A. Collins, J. Foniok, N. Korpelainen, V. Lozin, V. Zamaraev

arxiv:1701.08857 v1 · 2017-01-30 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GC6NVS3XAGVDVAEDUBIP3TZISE}

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	2026-05-18T00:51:39.006120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30bcdacb7701aa3a8083a050fdcf289137059ef680de78cd152826cf061acd1e

Aliases

arxiv: 1701.08857 · arxiv_version: 1701.08857v1 · doi: 10.48550/arxiv.1701.08857 · pith_short_12: GC6NVS3XAGVD · pith_short_16: GC6NVS3XAGVDVAED · pith_short_8: GC6NVS3X

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/GC6NVS3XAGVDVAEDUBIP3TZISE \
  | 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: 30bcdacb7701aa3a8083a050fdcf289137059ef680de78cd152826cf061acd1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fda0a4a61ff6f279797c38e5043409f93846c3deb0896c1abc95de2565655b9",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-30T22:27:19Z",
    "title_canon_sha256": "6b84e6c1a8167b518e17a042afe451167b9de6cdecfa6378854120dd0d076ab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08857",
    "kind": "arxiv",
    "version": 1
  }
}