Pith Number

pith:5TVANBKJ

pith:2011:5TVANBKJN5ROBYQVGJUS4VDBUA

not attested not anchored not stored refs pending

A central limit theorem for adaptive and interacting Markov chains

Eric Moulines (LTCI), Gersende Fort (LTCI), Pierre Priouret (LPMA), Pierre Vandekerkhove (LAMA)

arxiv:1107.2574 v1 · 2011-07-13 · 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{5TVANBKJN5ROBYQVGJUS4VDBUA}

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	2026-05-18T04:18:15.892668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecea0685496f62e0e21532692e5461a00fe56b3cd990fbdda66ad0d243eb5d0d

Aliases

arxiv: 1107.2574 · arxiv_version: 1107.2574v1 · doi: 10.48550/arxiv.1107.2574 · pith_short_12: 5TVANBKJN5RO · pith_short_16: 5TVANBKJN5ROBYQV · pith_short_8: 5TVANBKJ

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/5TVANBKJN5ROBYQVGJUS4VDBUA \
  | 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: ecea0685496f62e0e21532692e5461a00fe56b3cd990fbdda66ad0d243eb5d0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0391fce6af01cac6d4532e42730b34d7571b5dcefe009fa5f0509c87ba8651",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-07-13T15:20:08Z",
    "title_canon_sha256": "ae82d801c67512dd8e418d986e56089c445441163018daf043ce2bea1013238c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2574",
    "kind": "arxiv",
    "version": 1
  }
}