Pith Number

pith:DFDCS5R2

pith:2012:DFDCS5R2NDGOK3QVQJGYFRP3CS

not attested not anchored not stored refs pending

Small World MCMC with Tempering: Ergodicity and Spectral Gap

Matthew Stephens, Yongtao Guan

arxiv:1211.4675 v1 · 2012-11-20 · stat.ME · 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{DFDCS5R2NDGOK3QVQJGYFRP3CS}

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	2026-05-18T03:40:24.973860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

194629763a68cce56e15824d82c5fb14bd031a1d168b5f4a536c19bed7b9457f

Aliases

arxiv: 1211.4675 · arxiv_version: 1211.4675v1 · doi: 10.48550/arxiv.1211.4675 · pith_short_12: DFDCS5R2NDGO · pith_short_16: DFDCS5R2NDGOK3QV · pith_short_8: DFDCS5R2

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/DFDCS5R2NDGOK3QVQJGYFRP3CS \
  | 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: 194629763a68cce56e15824d82c5fb14bd031a1d168b5f4a536c19bed7b9457f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23fdb8e398a27cce8a8954145db3b9fcdb37e4b4554938af45748b99a70ffe8b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2012-11-20T07:29:17Z",
    "title_canon_sha256": "be496284ca63bb80d27be833a678bc2294daf670c546f0763e2b4a294adc176b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4675",
    "kind": "arxiv",
    "version": 1
  }
}