Pith Number

pith:QLJN5WJA

pith:2010:QLJN5WJAUYNTT3HKAW5MRPSQHX

not attested not anchored not stored refs pending

Tetravalent arc-transitive graphs with unbounded vertex-stabilisers

Gabriel Verret, Pablo Spiga, Primoz Potocnik

arxiv:1010.2549 v1 · 2010-10-13 · 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{QLJN5WJAUYNTT3HKAW5MRPSQHX}

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	2026-05-18T04:39:27.341080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82d2ded920a61b39ecea05bac8be503dec0d3a6003603c137489072b0fb0bdf8

Aliases

arxiv: 1010.2549 · arxiv_version: 1010.2549v1 · doi: 10.48550/arxiv.1010.2549 · pith_short_12: QLJN5WJAUYNT · pith_short_16: QLJN5WJAUYNTT3HK · pith_short_8: QLJN5WJA

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/QLJN5WJAUYNTT3HKAW5MRPSQHX \
  | 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: 82d2ded920a61b39ecea05bac8be503dec0d3a6003603c137489072b0fb0bdf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dac20e0e0b7275bc5ef17f6cf47e003eaeea907fd0b4bcfeffb7472329ff6084",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-13T00:15:20Z",
    "title_canon_sha256": "9ebb4f39a05b35f1cbcdff47ce8f04f3eb361ac8b18f0784e04e26b131a93c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2549",
    "kind": "arxiv",
    "version": 1
  }
}