Pith Number

pith:W7MULR4N

pith:2013:W7MULR4N66IZQF4I5VRP725NPR

not attested not anchored not stored refs pending

Cubic symmetric graphs having an abelian automorphism group with two orbits

Hiroki Koike, Istv\'an Kov\'acs

arxiv:1305.1190 v2 · 2013-05-06 · 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{W7MULR4N66IZQF4I5VRP725NPR}

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	2026-05-18T02:19:06.356102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d945c78df791981788ed62ffebad7c6bd307ba5a962f9e47815351ec74c366

Aliases

arxiv: 1305.1190 · arxiv_version: 1305.1190v2 · doi: 10.48550/arxiv.1305.1190 · pith_short_12: W7MULR4N66IZ · pith_short_16: W7MULR4N66IZQF4I · pith_short_8: W7MULR4N

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/W7MULR4N66IZQF4I5VRP725NPR \
  | 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: b7d945c78df791981788ed62ffebad7c6bd307ba5a962f9e47815351ec74c366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0acf83c4cbee89ceb24d5ee81690de6b78cbbcfc146248b1387bae7a3042bcdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-06T13:47:25Z",
    "title_canon_sha256": "c121d6dc13893c816b3b1557bf9fff64267f748fb74b20aae488eaea999e9ec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1190",
    "kind": "arxiv",
    "version": 2
  }
}