Pith Number

pith:JRITZPFO

pith:2011:JRITZPFOFY2ZKP27YFYNH4HFFL

not attested not anchored not stored refs pending

Multi-Stage Complex Contagions

James P. Gleeson, Jonathan A. Ward, Mason A. Porter, Sergey Melnik

arxiv:1111.1596 v2 · 2011-11-07 · cs.SI · math.DS · nlin.AO · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRITZPFOFY2ZKP27YFYNH4HFFL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:21:34.854187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c513cbcae2e35953f5fc170d3f0e52add07edb28547ec38e7ae0ff9b59f251e

Aliases

arxiv: 1111.1596 · arxiv_version: 1111.1596v2 · doi: 10.48550/arxiv.1111.1596 · pith_short_12: JRITZPFOFY2Z · pith_short_16: JRITZPFOFY2ZKP27 · pith_short_8: JRITZPFO

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/JRITZPFOFY2ZKP27YFYNH4HFFL \
  | 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: 4c513cbcae2e35953f5fc170d3f0e52add07edb28547ec38e7ae0ff9b59f251e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e97858dae0dae6ec89e19ed98880a633acae77848f35875132dcb1ccaa45e73",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.AO",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2011-11-07T14:41:44Z",
    "title_canon_sha256": "fc0e7642f100b5b79e8e2a9f35bf94ee8f4470b8e02aa45c7fc557d0f75f727c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1596",
    "kind": "arxiv",
    "version": 2
  }
}