Pith Number

pith:T6JLUTXW

pith:2012:T6JLUTXWURNALXHDDFVOMPS3FE

not attested not anchored not stored refs pending

On the stability of some controlled Markov chains and its applications to stochastic approximation with Markovian dynamic

Christophe Andrieu, Matti Vihola, Vladislav B. Tadi\'c

arxiv:1205.4181 v3 · 2012-05-18 · math.ST · stat.ME · 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{T6JLUTXWURNALXHDDFVOMPS3FE}

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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	2026-05-18T02:28:21.258984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f92ba4ef6a45a05dce3196ae63e5b292408fc1634c23eec7e2b36e7359bb165

Aliases

arxiv: 1205.4181 · arxiv_version: 1205.4181v3 · doi: 10.48550/arxiv.1205.4181 · pith_short_12: T6JLUTXWURNA · pith_short_16: T6JLUTXWURNALXHD · pith_short_8: T6JLUTXW

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/T6JLUTXWURNALXHDDFVOMPS3FE \
  | 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: 9f92ba4ef6a45a05dce3196ae63e5b292408fc1634c23eec7e2b36e7359bb165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27e944e0f16133e5263d55111367116ef70946b0a49e04138cdf1ee0f173fe4a",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-05-18T15:25:55Z",
    "title_canon_sha256": "c7b0c509b02f69f4b568e558e733e033548a23c18ea9c810bc5b8e9f4aaeb4dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4181",
    "kind": "arxiv",
    "version": 3
  }
}