Pith Number

pith:ZS67NBFW

pith:2011:ZS67NBFWN3I5VLFZYAULQLFNQE

not attested not anchored not stored refs pending

Comparison of Swendsen-Wang and Heat-Bath Dynamics

Mario Ullrich

arxiv:1105.3665 v2 · 2011-05-18 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZS67NBFWN3I5VLFZYAULQLFNQE}

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	2026-05-18T03:25:14.844825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccbdf684b66ed1daacb9c028b82cad81137e379e7f15dd99489344efe5fc418d

Aliases

arxiv: 1105.3665 · arxiv_version: 1105.3665v2 · doi: 10.48550/arxiv.1105.3665 · pith_short_12: ZS67NBFWN3I5 · pith_short_16: ZS67NBFWN3I5VLFZ · pith_short_8: ZS67NBFW

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/ZS67NBFWN3I5VLFZYAULQLFNQE \
  | 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: ccbdf684b66ed1daacb9c028b82cad81137e379e7f15dd99489344efe5fc418d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bb67fc64cafa5943341ad8676b700d57440c0050f883e8a2a98aac7edbeb927",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-18T15:45:31Z",
    "title_canon_sha256": "8477ed6f81898d37268c96eb824608754255e7410c207deced3b97262edc3119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3665",
    "kind": "arxiv",
    "version": 2
  }
}