Pith Number

pith:BDR6ZEFR

pith:2018:BDR6ZEFRYT6UXEAR5IDICCEEMS

not attested not anchored not stored refs pending

Counting cliques and cycles in scale-free inhomogeneous random graphs

A.J.E.M. Janssen, Johan S.H. van Leeuwaarden, Seva Shneer

arxiv:1812.04384 v1 · 2018-12-11 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDR6ZEFRYT6UXEAR5IDICCEEMS}

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	2026-05-17T23:50:09.228427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e3ec90b1c4fd4b9011ea06810884648e7a656b9b9765b3e63251df2fa19ea4

Aliases

arxiv: 1812.04384 · arxiv_version: 1812.04384v1 · doi: 10.48550/arxiv.1812.04384 · pith_short_12: BDR6ZEFRYT6U · pith_short_16: BDR6ZEFRYT6UXEAR · pith_short_8: BDR6ZEFR

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/BDR6ZEFRYT6UXEAR5IDICCEEMS \
  | 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: 08e3ec90b1c4fd4b9011ea06810884648e7a656b9b9765b3e63251df2fa19ea4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fcc46ab7c3bee38becd8cd21f5084a352d9b206d06fca409ce12f1f4c4cf619",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-11T13:21:28Z",
    "title_canon_sha256": "4d9e93f10ca5369049d152d2ac78f3b0dd22feeb1d73c060844e72dde7000dae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04384",
    "kind": "arxiv",
    "version": 1
  }
}