pith. sign in
Pith Number

pith:Y5GCE5K3

pith:2015:Y5GCE5K3OP674WAR4JQQU5AKL6
not attested not anchored not stored refs pending

Hybrid Phase Transition into an Absorbing State: Percolation and Avalanches

B. Kahng, Deokjae Lee, J. Kert\'esz, M. Stippinger, S. Choi

arxiv:1512.08335 v2 · 2015-12-28 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y5GCE5K3OP674WAR4JQQU5AKL6}

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 2026-05-18T01:17:24.810866Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c74c22755b73fdfe5811e2610a740a5f8513b3a1e81825718d08a2c73147f23c

Aliases

arxiv: 1512.08335 · arxiv_version: 1512.08335v2 · doi: 10.48550/arxiv.1512.08335 · pith_short_12: Y5GCE5K3OP67 · pith_short_16: Y5GCE5K3OP674WAR · pith_short_8: Y5GCE5K3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y5GCE5K3OP674WAR4JQQU5AKL6 \
  | 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: c74c22755b73fdfe5811e2610a740a5f8513b3a1e81825718d08a2c73147f23c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "651eecf8273d2e3e2a89de00ab7186c8d58709042065feca74fe26e6a618b824",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-12-28T07:35:24Z",
    "title_canon_sha256": "cb4e57d2e2c9259d019d9b12e22540f449178f3ce31c045f64a14cd91614b8ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08335",
    "kind": "arxiv",
    "version": 2
  }
}