Pith Number

pith:4YUMK2I4

pith:2012:4YUMK2I4KUXG7F7O4APIWSZUQM

not attested not anchored not stored refs pending

Degree-based network models

Patrick J. Wolfe, Sofia C. Olhede

arxiv:1211.6537 v2 · 2012-11-28 · math.ST · cs.SI · math.CO · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YUMK2I4KUXG7F7O4APIWSZUQM}

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	2026-05-18T03:21:43.468472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e628c5691c552e6f97eee01e8b4b34833b25ff9e3cf83ce3e967dfa5f3ba2c5e

Aliases

arxiv: 1211.6537 · arxiv_version: 1211.6537v2 · doi: 10.48550/arxiv.1211.6537 · pith_short_12: 4YUMK2I4KUXG · pith_short_16: 4YUMK2I4KUXG7F7O · pith_short_8: 4YUMK2I4

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/4YUMK2I4KUXG7F7O4APIWSZUQM \
  | 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: e628c5691c552e6f97eee01e8b4b34833b25ff9e3cf83ce3e967dfa5f3ba2c5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc48b93bc66a572133e8eb8d3832481a77ed44d66b45d6b77fb3c36d3d926212",
    "cross_cats_sorted": [
      "cs.SI",
      "math.CO",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-11-28T08:23:18Z",
    "title_canon_sha256": "64de015751d33ffe9daf2597457df98538d4c356588ada345f2d73838f2b8da6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6537",
    "kind": "arxiv",
    "version": 2
  }
}