Pith Number

pith:26KWPPRB

pith:2010:26KWPPRBX6H44G2ONH27ZLEUHP

not attested not anchored not stored refs pending

Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs

Gabriel Verret, Pablo Spiga, Primoz Potocnik

arxiv:1010.2546 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{26KWPPRBX6H44G2ONH27ZLEUHP}

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	2026-05-18T04:39:27.355648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d79567be21bf8fce1b4e69f5fcac943bc0e6217785f53b63af55e429845e2b77

Aliases

arxiv: 1010.2546 · arxiv_version: 1010.2546v1 · doi: 10.48550/arxiv.1010.2546 · pith_short_12: 26KWPPRBX6H4 · pith_short_16: 26KWPPRBX6H44G2O · pith_short_8: 26KWPPRB

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/26KWPPRBX6H44G2ONH27ZLEUHP \
  | 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: d79567be21bf8fce1b4e69f5fcac943bc0e6217785f53b63af55e429845e2b77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8f847f988cadeff555d9a7ad245982fba0d0851caae45db63dc76e0ad20feca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-13T00:12:07Z",
    "title_canon_sha256": "1822c067188417c1d4dc394e454e25efe2da182289cb2bef4997abebd55f9b52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2546",
    "kind": "arxiv",
    "version": 1
  }
}