Pith Number

pith:4KN3C5B4

pith:2013:4KN3C5B42KEZO4RZGUJISP22KH

not attested not anchored not stored refs pending

Weakly Explosive Percolation in Directed Networks

Diego Alcala, Edward Ott, Katherine Sytwu, Michelle Girvan, Shane Squires, Thomas Antonsen

arxiv:1303.2264 v2 · 2013-03-09 · cond-mat.stat-mech · 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{4KN3C5B42KEZO4RZGUJISP22KH}

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	2026-05-18T03:20:20.383398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e29bb1743cd2899772393512893f5a51f0b2e820756d247d4b2ed5fc3f2f73bd

Aliases

arxiv: 1303.2264 · arxiv_version: 1303.2264v2 · doi: 10.48550/arxiv.1303.2264 · pith_short_12: 4KN3C5B42KEZ · pith_short_16: 4KN3C5B42KEZO4RZ · pith_short_8: 4KN3C5B4

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/4KN3C5B42KEZO4RZGUJISP22KH \
  | 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: e29bb1743cd2899772393512893f5a51f0b2e820756d247d4b2ed5fc3f2f73bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a77c70ddc00819468ec90783bacf2229408b369223c9cb1610032116cbbd915b",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-03-09T20:19:18Z",
    "title_canon_sha256": "b7fdbfd8059ed34a32ba9e49da593aed15e03cfbe8940d013becd0bb72b5f4cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2264",
    "kind": "arxiv",
    "version": 2
  }
}