Pith Number

pith:JCR7777W

pith:2014:JCR7777WY7ERZTEKEN73OPCUEC

not attested not anchored not stored refs pending

Percolation of the Site Random-Cluster Model by Monte Carlo Method

Chengxiang Ding, Songsong Wang, Wanzhou Zhang, Yuan Yang

arxiv:1411.4408 v3 · 2014-11-17 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCR7777WY7ERZTEKEN73OPCUEC}

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	2026-05-18T01:34:50.739347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48a3fffff6c7c91ccc8a237fb73c5420805b4002643e91a542dfc6c89d9519f1

Aliases

arxiv: 1411.4408 · arxiv_version: 1411.4408v3 · doi: 10.48550/arxiv.1411.4408 · pith_short_12: JCR7777WY7ER · pith_short_16: JCR7777WY7ERZTEK · pith_short_8: JCR7777W

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/JCR7777WY7ERZTEKEN73OPCUEC \
  | 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: 48a3fffff6c7c91ccc8a237fb73c5420805b4002643e91a542dfc6c89d9519f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0158d94a80437c07de3714b1f841482c9836961056d3a5debb5bc81fa00cda5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-11-17T10:03:22Z",
    "title_canon_sha256": "e664f42754a4398d2f67f7820225606a5dbfcb99ac559afc9d14334113fa1254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4408",
    "kind": "arxiv",
    "version": 3
  }
}