Pith Number

pith:Z4JTIGS4

pith:2014:Z4JTIGS4QAUELUBUDN4FNIHNCA

not attested not anchored not stored refs pending

A phase transition in the evolution of bootstrap percolation processes on preferential attachment graphs

Mohammed Amin Abdullah, Nikolaos Fountoulakis

arxiv:1404.4070 v2 · 2014-04-15 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4JTIGS4QAUELUBUDN4FNIHNCA}

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	2026-05-18T02:30:47.359616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf13341a5c802845d0341b7856a0ed101245f37ceaca2912dbe2800171af9c48

Aliases

arxiv: 1404.4070 · arxiv_version: 1404.4070v2 · doi: 10.48550/arxiv.1404.4070 · pith_short_12: Z4JTIGS4QAUE · pith_short_16: Z4JTIGS4QAUELUBU · pith_short_8: Z4JTIGS4

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/Z4JTIGS4QAUELUBUDN4FNIHNCA \
  | 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: cf13341a5c802845d0341b7856a0ed101245f37ceaca2912dbe2800171af9c48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a59741880c1b7d2f06e1892001f57a516148dbb29cd4e16951a5a08a4527655",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-15T20:35:00Z",
    "title_canon_sha256": "73882f471f14092ac9066b48bdd65c5860dbc3bd7cd54761c7ddd90608180336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4070",
    "kind": "arxiv",
    "version": 2
  }
}