Pith Number

pith:4UFUPL4M

pith:2012:4UFUPL4MPWCVNE5L7OYQMIPFO2

not attested not anchored not stored refs pending

Rapid mixing of Swendsen-Wang and single-bond dynamics in two dimensions

Mario Ullrich

arxiv:1202.6321 v1 · 2012-02-28 · math.PR · cs.DM · 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{4UFUPL4MPWCVNE5L7OYQMIPFO2}

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	2026-05-18T04:01:13.708504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e50b47af8c7d855693abfbb10621e57693b77e0f3251e44b2d33b92944c4f1b2

Aliases

arxiv: 1202.6321 · arxiv_version: 1202.6321v1 · doi: 10.48550/arxiv.1202.6321 · pith_short_12: 4UFUPL4MPWCV · pith_short_16: 4UFUPL4MPWCVNE5L · pith_short_8: 4UFUPL4M

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/4UFUPL4MPWCVNE5L7OYQMIPFO2 \
  | 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: e50b47af8c7d855693abfbb10621e57693b77e0f3251e44b2d33b92944c4f1b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f59a815c1e4b95058279f6376953f12474837744ae56a3df8d6938ee20040c5",
    "cross_cats_sorted": [
      "cs.DM",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-28T18:44:16Z",
    "title_canon_sha256": "0ace16fa96076f48cefa706f14245ee974b61a99400f17df2b6370a3a8d7235c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6321",
    "kind": "arxiv",
    "version": 1
  }
}