Pith Number

pith:5QOUYC7V

pith:2013:5QOUYC7VCYUGDAKC7VHZWVTJU2

not attested not anchored not stored refs pending

A Lognormal Central Limit Theorem for Particle Approximations of Normalizing Constants

Arnaud Doucet, Jean B\'erard, Pierre Del-Moral

arxiv:1307.0181 v1 · 2013-06-30 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QOUYC7VCYUGDAKC7VHZWVTJU2}

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	2026-05-18T03:19:34.051536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec1d4c0bf51628618142fd4f9b5669a6a993748642de538ac644d52d7184af39

Aliases

arxiv: 1307.0181 · arxiv_version: 1307.0181v1 · doi: 10.48550/arxiv.1307.0181 · pith_short_12: 5QOUYC7VCYUG · pith_short_16: 5QOUYC7VCYUGDAKC · pith_short_8: 5QOUYC7V

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/5QOUYC7VCYUGDAKC7VHZWVTJU2 \
  | 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: ec1d4c0bf51628618142fd4f9b5669a6a993748642de538ac644d52d7184af39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c091a5bfed2727c61fd93404c32eb640c2ee7b9c2d6373fa3c84e7db73524e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-30T07:06:52Z",
    "title_canon_sha256": "9f9d69ee9d9887ae68a80a6b6e7372eae6aa91d5ed810c9658c9d7874019ff64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0181",
    "kind": "arxiv",
    "version": 1
  }
}