Pith Number

pith:BZND3FGU

pith:2013:BZND3FGUKTSJ6LNTJKJF7CRIKR

not attested not anchored not stored refs pending

Correlation of Automorphism Group Size and Topological Properties with Program-size Complexity Evaluations of Graphs and Complex Networks

Ard A. Louis, Fernando Soler-Toscano, Hector Zenil, Kamaludin Dingle

arxiv:1306.0322 v3 · 2013-06-03 · cs.IT · cs.CC · cs.CG · math.IT · q-bio.MN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZND3FGUKTSJ6LNTJKJF7CRIKR}

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	2026-05-18T01:49:38.652053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e5a3d94d454e49f2db34a925f8a2854724d697b12f0a0cd8df44944c01e90f0

Aliases

arxiv: 1306.0322 · arxiv_version: 1306.0322v3 · doi: 10.48550/arxiv.1306.0322 · pith_short_12: BZND3FGUKTSJ · pith_short_16: BZND3FGUKTSJ6LNT · pith_short_8: BZND3FGU

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/BZND3FGUKTSJ6LNTJKJF7CRIKR \
  | 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: 0e5a3d94d454e49f2db34a925f8a2854724d697b12f0a0cd8df44944c01e90f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12920a7dcfbdae2c43aa03a24530e484afbdd0b990a71ff85911c0d91a8d838d",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CG",
      "math.IT",
      "q-bio.MN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-06-03T08:36:11Z",
    "title_canon_sha256": "8ed58af6ef86f3818b9ea7f4651435e75afbcfa4bc9b5fbaf9db0c4418f1a0a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0322",
    "kind": "arxiv",
    "version": 3
  }
}