Pith Number

pith:ZLA4WAU4

pith:2014:ZLA4WAU46LLOIP5I3Y6YCN4P6M

not attested not anchored not stored refs pending

Mean-field theory is exact for the random-field model with long-range interactions

Hidetoshi Nishimori, Junichi Tsuda

arxiv:1402.1581 v2 · 2014-02-07 · 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{ZLA4WAU46LLOIP5I3Y6YCN4P6M}

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	2026-05-18T01:44:46.554412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cac1cb029cf2d6e43fa8de3d81378ff30d94a2c65598f1eedd9af28dad050a63

Aliases

arxiv: 1402.1581 · arxiv_version: 1402.1581v2 · doi: 10.48550/arxiv.1402.1581 · pith_short_12: ZLA4WAU46LLO · pith_short_16: ZLA4WAU46LLOIP5I · pith_short_8: ZLA4WAU4

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/ZLA4WAU46LLOIP5I3Y6YCN4P6M \
  | 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: cac1cb029cf2d6e43fa8de3d81378ff30d94a2c65598f1eedd9af28dad050a63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23abd62ccf5b17cc1e2ea6aef84a1639a75e414e497254db9f3338dce48b82c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-02-07T09:56:18Z",
    "title_canon_sha256": "84ed3926044a943f9cf6e74e437f62a217c5826ab215b511efb262a234472141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1581",
    "kind": "arxiv",
    "version": 2
  }
}