Pith Number

pith:AWBRSVJR

pith:2004:AWBRSVJRJXTL7R5NPLMK2PFS5N

not attested not anchored not stored refs pending

Dynamical Critical Behaviors of the Ising Spin Chain: Swendsen-Wang and Wolff Algorithms

P.L.Krapivsky

arxiv:cond-mat/0405469 v1 · 2004-05-20 · 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{AWBRSVJRJXTL7R5NPLMK2PFS5N}

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	2026-05-18T04:30:46.693838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05831955314de6bfc7ad7ad8ad3cb2eb7299b63f0c8f5f989b862d6e886c42eb

Aliases

arxiv: cond-mat/0405469 · arxiv_version: cond-mat/0405469v1 · doi: 10.48550/arxiv.cond-mat/0405469 · pith_short_12: AWBRSVJRJXTL · pith_short_16: AWBRSVJRJXTL7R5N · pith_short_8: AWBRSVJR

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/AWBRSVJRJXTL7R5NPLMK2PFS5N \
  | 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: 05831955314de6bfc7ad7ad8ad3cb2eb7299b63f0c8f5f989b862d6e886c42eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e159981b416fae9cee98974a6ddc50564824cdb13994da6989e277bdb5996cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2004-05-20T17:47:00Z",
    "title_canon_sha256": "e9060640f6b5b9f79a3523ea9636c746edf43d6a3eeaf886e908fd5c87f2a264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0405469",
    "kind": "arxiv",
    "version": 1
  }
}