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Pith Number

pith:F45UM64P

pith:2013:F45UM64PLI64NJWX23IFYKFCEK
not attested not anchored not stored refs pending

Relative fixed-width stopping rules for Markov chain Monte Carlo simulations

James M. Flegal, Lei Gong

arxiv:1303.0238 v1 · 2013-03-01 · math.ST · stat.CO · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F45UM64PLI64NJWX23IFYKFCEK}

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 2026-05-18T03:32:06.511549Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2f3b467b8f5a3dc6a6d7d6d05c28a222900eac6cc433d234a0c16ea0b5851b7b

Aliases

arxiv: 1303.0238 · arxiv_version: 1303.0238v1 · doi: 10.48550/arxiv.1303.0238 · pith_short_12: F45UM64PLI64 · pith_short_16: F45UM64PLI64NJWX · pith_short_8: F45UM64P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F45UM64PLI64NJWX23IFYKFCEK \
  | 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: 2f3b467b8f5a3dc6a6d7d6d05c28a222900eac6cc433d234a0c16ea0b5851b7b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c4f8a9a211392bb9f9f9231beeaac9ac4e3338db080596497141f303620bfcdb",
    "cross_cats_sorted": [
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-03-01T18:04:30Z",
    "title_canon_sha256": "f65a71581438b1530071d1034203c8f16bd0ae1d3a8c9bddcba307f302126ca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0238",
    "kind": "arxiv",
    "version": 1
  }
}