Pith Number

pith:TWF65XMY

pith:1998:TWF65XMYAR56NDI57ZANJO6ZUZ

not attested not anchored not stored refs pending

The continuous spin random field model: Ferromagnetic ordering in d>=3

Christof Kuelske

arxiv:math-ph/9806010 v1 · 1998-06-16 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWF65XMYAR56NDI57ZANJO6ZUZ}

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	2026-05-18T01:38:30.776718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d8beedd98047be68d1dfe40d4bbd9a6509ec6c9efa8e5411b91614620df0415

Aliases

arxiv: math-ph/9806010 · arxiv_version: math-ph/9806010v1 · doi: 10.48550/arxiv.math-ph/9806010 · pith_short_12: TWF65XMYAR56 · pith_short_16: TWF65XMYAR56NDI5 · pith_short_8: TWF65XMY

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/TWF65XMYAR56NDI57ZANJO6ZUZ \
  | 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: 9d8beedd98047be68d1dfe40d4bbd9a6509ec6c9efa8e5411b91614620df0415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73454258eaeebff9ff588c83554584825267283064e02e0d32f1f8719e524457",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-06-16T15:23:35Z",
    "title_canon_sha256": "d41504980c8182504b7e7d101f92d7b6ffa6a4355190f73eef6685f5fa961c13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9806010",
    "kind": "arxiv",
    "version": 1
  }
}