Pith Number

pith:KZXLJIGH

pith:2026:KZXLJIGHXS73MCNGV44LORZZSA

not attested not anchored not stored refs pending

Asymptotic enumeration of unlabelled cubic planar graphs

Benedikt Stufler

arxiv:2606.17992 v1 · 2026-06-16 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZXLJIGHXS73MCNGV44LORZZSA}

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	2026-06-19T16:10:45.393649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

566eb4a0c7bcbfb609a6af38b747399018bcfac9c980734b487b04cdc97e9c4b

Aliases

arxiv: 2606.17992 · arxiv_version: 2606.17992v1 · doi: 10.48550/arxiv.2606.17992 · pith_short_12: KZXLJIGHXS73 · pith_short_16: KZXLJIGHXS73MCNG · pith_short_8: KZXLJIGH

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/KZXLJIGHXS73MCNGV44LORZZSA \
  | 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: 566eb4a0c7bcbfb609a6af38b747399018bcfac9c980734b487b04cdc97e9c4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "184a3d099405b7db2ff4ead0211001ef5a79b59d600a1ba861b6eb0cbb57f7a6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-16T14:42:39Z",
    "title_canon_sha256": "462b94ba6e176403527690c50fbd1c11f39342ac5f3117083a2459a463a136fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17992",
    "kind": "arxiv",
    "version": 1
  }
}