Pith Number

pith:UEKYUIQO

pith:2012:UEKYUIQOXG4HFWI5RIKZ6N3KTJ

not attested not anchored not stored refs pending

Cubic vertex-transitive graphs on up to 1280 vertices

Gabriel Verret, Pablo Spiga, Primoz Potocnik

arxiv:1201.5317 v1 · 2012-01-25 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UEKYUIQOXG4HFWI5RIKZ6N3KTJ}

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	2026-05-18T04:03:55.063459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1158a220eb9b872d91d8a159f376a9a6d54725cf65cc16d4045cd94b7de9139

Aliases

arxiv: 1201.5317 · arxiv_version: 1201.5317v1 · doi: 10.48550/arxiv.1201.5317 · pith_short_12: UEKYUIQOXG4H · pith_short_16: UEKYUIQOXG4HFWI5 · pith_short_8: UEKYUIQO

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/UEKYUIQOXG4HFWI5RIKZ6N3KTJ \
  | 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: a1158a220eb9b872d91d8a159f376a9a6d54725cf65cc16d4045cd94b7de9139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb90da96c11108308ea8a8a376a8dea24350e3a3953adde2cb1c369c6aff073",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-25T16:22:20Z",
    "title_canon_sha256": "b65eca6adf3f4c4f7d33aa24e4cf021420baaa8493c2047430994c8bfe21ebf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5317",
    "kind": "arxiv",
    "version": 1
  }
}