Pith Number

pith:WLRLNBMZ

pith:2015:WLRLNBMZNEWPDROEO42VO4G3RQ

not attested not anchored not stored refs pending

Poisson approximation of subgraph counts in stochastic block models and a graphon model

Gesine Reinert, Matthew Coulson, Robert E. Gaunt

arxiv:1509.07754 v2 · 2015-09-25 · 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{WLRLNBMZNEWPDROEO42VO4G3RQ}

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	2026-05-18T00:48:28.639764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e2b68599692cf1c5c477355770db8c2e951003f8d1d99b8754c75830725b53

Aliases

arxiv: 1509.07754 · arxiv_version: 1509.07754v2 · doi: 10.48550/arxiv.1509.07754 · pith_short_12: WLRLNBMZNEWP · pith_short_16: WLRLNBMZNEWPDROE · pith_short_8: WLRLNBMZ

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/WLRLNBMZNEWPDROEO42VO4G3RQ \
  | 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: b2e2b68599692cf1c5c477355770db8c2e951003f8d1d99b8754c75830725b53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "668b3dc30b14c2b2828c7c25ef06dda65fea26da77b9fc510889e05f8b0091ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-25T15:21:40Z",
    "title_canon_sha256": "b460e28ef3b4fe3c2af0358dfae2c0a6f432f47fcf2570e93fd79b695a21d655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07754",
    "kind": "arxiv",
    "version": 2
  }
}