Pith Number

pith:VI45J7ZO

pith:2012:VI45J7ZOM4AXO3OKXQQ4KZMNDC

not attested not anchored not stored refs pending

Asymptotic enumeration of vertex-transitive graphs of fixed valency

Gabriel Verret, Pablo Spiga, Primoz Potocnik

arxiv:1210.5736 v1 · 2012-10-21 · 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{VI45J7ZOM4AXO3OKXQQ4KZMNDC}

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	2026-05-18T03:42:43.180672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa39d4ff2e6701776dcabc21c5658d1888022f6767fdd1d0e0c5f0dbce98126a

Aliases

arxiv: 1210.5736 · arxiv_version: 1210.5736v1 · doi: 10.48550/arxiv.1210.5736 · pith_short_12: VI45J7ZOM4AX · pith_short_16: VI45J7ZOM4AXO3OK · pith_short_8: VI45J7ZO

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/VI45J7ZOM4AXO3OKXQQ4KZMNDC \
  | 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: aa39d4ff2e6701776dcabc21c5658d1888022f6767fdd1d0e0c5f0dbce98126a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af7da35952f8fbc08689027399512c49b66a00d98d290637a2974000362f5f6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-21T15:07:35Z",
    "title_canon_sha256": "c199a7b10996f9076b6daecbc0f3343a1d7f0b70b580978bfd4c44857dd98583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5736",
    "kind": "arxiv",
    "version": 1
  }
}