Pith Number

pith:QX6XLZZ6

pith:2010:QX6XLZZ6PGQRZ6NXDMH4N4ZR2X

not attested not anchored not stored refs pending

Conjectured Exact Percolation Thresholds of the Fortuin-Kasteleyn Cluster for the +-J Ising Spin Glass Model

Chiaki Yamaguchi

arxiv:1004.0654 v8 · 2010-04-05 · 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{QX6XLZZ6PGQRZ6NXDMH4N4ZR2X}

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	2026-05-18T02:24:17.606441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85fd75e73e79a11cf9b71b0fc6f331d5fd07d9ce4273a1bf8859e1d17e47cc20

Aliases

arxiv: 1004.0654 · arxiv_version: 1004.0654v8 · doi: 10.48550/arxiv.1004.0654 · pith_short_12: QX6XLZZ6PGQR · pith_short_16: QX6XLZZ6PGQRZ6NX · pith_short_8: QX6XLZZ6

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/QX6XLZZ6PGQRZ6NXDMH4N4ZR2X \
  | 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: 85fd75e73e79a11cf9b71b0fc6f331d5fd07d9ce4273a1bf8859e1d17e47cc20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613eb75e7df0d461a954b2ed305f61ffa599e33671d6a5c239fdcc379408af19",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-04-05T16:19:39Z",
    "title_canon_sha256": "fb5f7f9875c10890ba6b452481ada895907e5abf8972b29a3386471f767bbca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0654",
    "kind": "arxiv",
    "version": 8
  }
}