Pith Number

pith:4QYOZTUK

pith:2012:4QYOZTUKREYYU52GLREFMBVX4B

not attested not anchored not stored refs pending

Avalanche Collapse of Interdependent Network

A. V. Goltsev, G. J. Baxter, J. F. F. Mendes, S. N. Dorogovtsev

arxiv:1207.0448 v2 · 2012-07-02 · cond-mat.stat-mech · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QYOZTUKREYYU52GLREFMBVX4B}

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	2026-05-18T02:21:08.590001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e430ecce8a89318a77465c485606b7e04cad71910e78af68efa6e3f78fae5743

Aliases

arxiv: 1207.0448 · arxiv_version: 1207.0448v2 · doi: 10.48550/arxiv.1207.0448 · pith_short_12: 4QYOZTUKREYY · pith_short_16: 4QYOZTUKREYYU52G · pith_short_8: 4QYOZTUK

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/4QYOZTUKREYYU52GLREFMBVX4B \
  | 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: e430ecce8a89318a77465c485606b7e04cad71910e78af68efa6e3f78fae5743

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfc50cef4fa6140991fd8b515e28d51e90630d2fcc4205c09bee30710a25b335",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-07-02T17:35:28Z",
    "title_canon_sha256": "c289f1542d391ed2c8b89528968480e21099014256a09557ed01331969214bb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0448",
    "kind": "arxiv",
    "version": 2
  }
}