Pith Number

pith:5GE426S6

pith:2021:5GE426S6SVCWNQ5GEXMYB3WG63

not attested not anchored not stored refs pending

A multi-type branching process method for modelling complex contagion on clustered networks

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

arxiv:2107.10134 v3 · 2021-07-21 · 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{5GE426S6SVCWNQ5GEXMYB3WG63}

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	2026-07-05T04:11:47.426257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e989cd7a5e954566c3a625d980eec6f6f487e9113c6e6ad5450a9ce917ce4a91

Aliases

arxiv: 2107.10134 · arxiv_version: 2107.10134v3 · doi: 10.48550/arxiv.2107.10134 · pith_short_12: 5GE426S6SVCW · pith_short_16: 5GE426S6SVCWNQ5G · pith_short_8: 5GE426S6

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/5GE426S6SVCWNQ5GEXMYB3WG63 \
  | 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: e989cd7a5e954566c3a625d980eec6f6f487e9113c6e6ad5450a9ce917ce4a91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49ad153ce90dd7f5d16951ae1d801d59dd9705296bbc38e6e7fb33b0cd0cb23d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2021-07-21T15:09:03Z",
    "title_canon_sha256": "dc8c781d17ba864c5d82a9eee725484ac8dd067fcd79c97a78350c474f4d4f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.10134",
    "kind": "arxiv",
    "version": 3
  }
}