Pith Number

pith:D5TIGMKR

pith:2015:D5TIGMKRAPQOXT7NYVJU2HDVW5

not attested not anchored not stored refs pending

Exponential inequalities for unbounded functions of geometrically ergodic Markov chains. Applications to quantitative error bounds for regenerative Metropolis algorithms

Olivier Wintenberger (LSTA)

arxiv:1511.01752 v2 · 2015-11-05 · 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{D5TIGMKRAPQOXT7NYVJU2HDVW5}

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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	2026-05-18T01:04:45.629511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f6683315103e0ebcfedc5534d1c75b77fc4ca7f996a8446fefc5e907148ca39

Aliases

arxiv: 1511.01752 · arxiv_version: 1511.01752v2 · doi: 10.48550/arxiv.1511.01752 · pith_short_12: D5TIGMKRAPQO · pith_short_16: D5TIGMKRAPQOXT7N · pith_short_8: D5TIGMKR

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/D5TIGMKRAPQOXT7NYVJU2HDVW5 \
  | 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: 1f6683315103e0ebcfedc5534d1c75b77fc4ca7f996a8446fefc5e907148ca39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb9a3b6dc71b24e5a9a48fedd8cac209996813d24dffa16a4e1b9a80047b9cac",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-11-05T14:13:18Z",
    "title_canon_sha256": "1a886891454378214a1d3a34a5a3cd03d0ec6d4da36b02cdae9f1364b72d5dfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01752",
    "kind": "arxiv",
    "version": 2
  }
}