Pith Number

pith:I5KMGZEE

pith:2010:I5KMGZEEXBWHZ43CY6JDV4JOSU

not attested not anchored not stored refs pending

Percolation Thresholds of the Fortuin-Kasteleyn Cluster for a Potts Gauge Glass Model on Complex Networks: Analytical Results on the Nishimori Line

Chiaki Yamaguchi

arxiv:1001.1675 v2 · 2010-01-11 · cond-mat.dis-nn · 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{I5KMGZEEXBWHZ43CY6JDV4JOSU}

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	2026-05-18T04:31:42.244363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4754c36484b86c7cf362c7923af12e9524f7d05b331c8b1c223ebbb738225be1

Aliases

arxiv: 1001.1675 · arxiv_version: 1001.1675v2 · doi: 10.48550/arxiv.1001.1675 · pith_short_12: I5KMGZEEXBWH · pith_short_16: I5KMGZEEXBWHZ43C · pith_short_8: I5KMGZEE

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/I5KMGZEEXBWHZ43CY6JDV4JOSU \
  | 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: 4754c36484b86c7cf362c7923af12e9524f7d05b331c8b1c223ebbb738225be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5e01f6aa26d2cc36ebe5ac170c1545f6d25913e34e573b5d6e882387949fa5",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-01-11T15:37:24Z",
    "title_canon_sha256": "b01fa4a5c6240a448d1cdd872036c2a1d0407a516bb754e1a402b330502df9e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1675",
    "kind": "arxiv",
    "version": 2
  }
}