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Pith Number

pith:VKSAGUO4

pith:2013:VKSAGUO4L4ZNAW2DG5HZXANXNH
not attested not anchored not stored refs pending

Network histograms and universality of blockmodel approximation

Patrick J. Wolfe, Sofia C. Olhede

arxiv:1312.5306 v3 · 2013-12-18 · stat.ME · cs.SI · math.CO · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VKSAGUO4L4ZNAW2DG5HZXANXNH}

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 2026-05-18T02:40:04.022156Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

aaa40351dc5f32d05b43374f9b81b769e761942b8ffbd0a5fdf5d31ae3ff4718

Aliases

arxiv: 1312.5306 · arxiv_version: 1312.5306v3 · doi: 10.48550/arxiv.1312.5306 · pith_short_12: VKSAGUO4L4ZN · pith_short_16: VKSAGUO4L4ZNAW2D · pith_short_8: VKSAGUO4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VKSAGUO4L4ZNAW2DG5HZXANXNH \
  | 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: aaa40351dc5f32d05b43374f9b81b769e761942b8ffbd0a5fdf5d31ae3ff4718
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7397dadf70b488d496934cd8c8553fd29f50ad2e434916d15b7018748f2d34cc",
    "cross_cats_sorted": [
      "cs.SI",
      "math.CO",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2013-12-18T20:50:06Z",
    "title_canon_sha256": "acd1af12114137a3a406a0b377862d1a60728438ebf37cc502b10a68be9f013e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5306",
    "kind": "arxiv",
    "version": 3
  }
}