Pith Number

pith:72TC7USO

pith:2012:72TC7USOBQN6GV3WHWIGR4ASC6

not attested not anchored not stored refs pending

Agglomerative Percolation on Bipartite Networks: A Novel Type of Spontaneous Symmetry Breaking

Hon Wai Lau, Maya Paczuski, Peter Grassberger

arxiv:1204.1329 v2 · 2012-04-05 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72TC7USOBQN6GV3WHWIGR4ASC6}

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	2026-05-18T03:35:25.977177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea62fd24e0c1be357763d9068f01217ae309a394f7697dae55f6a1470498c86

Aliases

arxiv: 1204.1329 · arxiv_version: 1204.1329v2 · doi: 10.48550/arxiv.1204.1329 · pith_short_12: 72TC7USOBQN6 · pith_short_16: 72TC7USOBQN6GV3W · pith_short_8: 72TC7USO

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/72TC7USOBQN6GV3WHWIGR4ASC6 \
  | 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: fea62fd24e0c1be357763d9068f01217ae309a394f7697dae55f6a1470498c86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97efd41870b5bfa241a3e276c22235215c07af09a465cdfc4bd249d825ad362e",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-04-05T19:49:42Z",
    "title_canon_sha256": "acca095855c15419a26091d1039e9e9d5e5767c19feedfd600c3c13d06d60dae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1329",
    "kind": "arxiv",
    "version": 2
  }
}