Pith Number

pith:MDZQ5TJB

pith:2018:MDZQ5TJBRXXXEFEPROH4AHWSG3

not attested not anchored not stored refs pending

A Census of Small Transitive Groups and Vertex-Transitive Graphs

Derek Holt, Gordon Royle

arxiv:1811.09015 v1 · 2018-11-22 · 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{MDZQ5TJBRXXXEFEPROH4AHWSG3}

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	2026-05-18T00:00:07.293888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60f30ecd218def72148f8b8fc01ed236d77516a5c000683c23dce80a99c53695

Aliases

arxiv: 1811.09015 · arxiv_version: 1811.09015v1 · doi: 10.48550/arxiv.1811.09015 · pith_short_12: MDZQ5TJBRXXX · pith_short_16: MDZQ5TJBRXXXEFEP · pith_short_8: MDZQ5TJB

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/MDZQ5TJBRXXXEFEPROH4AHWSG3 \
  | 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: 60f30ecd218def72148f8b8fc01ed236d77516a5c000683c23dce80a99c53695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9bef8bf17068254569718f0955a46ce1700ec6aeb569958b7fab994dc58d4c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-22T04:06:26Z",
    "title_canon_sha256": "d8b9b710d3e0cf9389b68a1354d36e4c50f1f155887dff93ec751d874f2b591f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09015",
    "kind": "arxiv",
    "version": 1
  }
}