Pith Number

pith:YYJMCVWH

pith:2022:YYJMCVWHGT5GSXKA47CGJ7HKQY

not attested not anchored not stored refs pending

A generating-function approach to modelling complex contagion on clustered networks with multi-type branching processes

David J.P. O'Sullivan, James P. Gleeson, Leah A. Keating

arxiv:2212.00584 v1 · 2022-12-01 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYJMCVWHGT5GSXKA47CGJ7HKQY}

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	2026-07-05T05:21:35.774285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c612c156c734fa695d40e7c464fcea862c47e07de020b2107d7c802e61ec3ea5

Aliases

arxiv: 2212.00584 · arxiv_version: 2212.00584v1 · doi: 10.48550/arxiv.2212.00584 · pith_short_12: YYJMCVWHGT5G · pith_short_16: YYJMCVWHGT5GSXKA · pith_short_8: YYJMCVWH

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/YYJMCVWHGT5GSXKA47CGJ7HKQY \
  | 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: c612c156c734fa695d40e7c464fcea862c47e07de020b2107d7c802e61ec3ea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241b56612af07991f3ab266e0a4c757b759feddbbd4b2571b02580064885fab8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2022-12-01T15:22:19Z",
    "title_canon_sha256": "56ae528b0766c8e16a9020ab3da762d6c3f197cc6e6bd4ab1155eb98115aceea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.00584",
    "kind": "arxiv",
    "version": 1
  }
}