Pith Number

pith:PAZV7EMI

pith:2013:PAZV7EMITXTYMDZCORKPCFW7I6

not attested not anchored not stored refs pending

Discrepancy bounds for uniformly ergodic Markov chain quasi-Monte Carlo

Daniel Rudolf, Houying Zhu, Josef Dick

arxiv:1303.2423 v3 · 2013-03-11 · stat.CO · math.NA · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAZV7EMITXTYMDZCORKPCFW7I6}

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	2026-05-18T01:22:52.608541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78335f91889de7860f227454f116df479fb9475e1bcc5aecc138e082dd874fef

Aliases

arxiv: 1303.2423 · arxiv_version: 1303.2423v3 · doi: 10.48550/arxiv.1303.2423 · pith_short_12: PAZV7EMITXTY · pith_short_16: PAZV7EMITXTYMDZC · pith_short_8: PAZV7EMI

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/PAZV7EMITXTYMDZCORKPCFW7I6 \
  | 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: 78335f91889de7860f227454f116df479fb9475e1bcc5aecc138e082dd874fef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "044109ce36c075fcf6eb34221fa0a8ddbf28af71db664ff7d097065ab8920b25",
    "cross_cats_sorted": [
      "math.NA",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2013-03-11T04:34:38Z",
    "title_canon_sha256": "b8d9203d579ccead3b2b13015923e1460ae7367f3d678d64a77ee4f7c46fbc9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2423",
    "kind": "arxiv",
    "version": 3
  }
}