Pith Number

pith:C55QGJVF

pith:2013:C55QGJVFONJ5VZE2XNU672KCFL

not attested not anchored not stored refs pending

Normal approximation and smoothness for sums of means of lattice-valued random variables

Geoffrey Decrouez, Peter Hall

arxiv:1309.7752 v1 · 2013-09-30 · 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{C55QGJVFONJ5VZE2XNU672KCFL}

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	2026-05-18T03:11:48.394447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

177b0326a57353dae49abb69efe9422ad5bbe9749edc54cdcde47dd221e6d128

Aliases

arxiv: 1309.7752 · arxiv_version: 1309.7752v1 · doi: 10.48550/arxiv.1309.7752 · pith_short_12: C55QGJVFONJ5 · pith_short_16: C55QGJVFONJ5VZE2 · pith_short_8: C55QGJVF

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/C55QGJVFONJ5VZE2XNU672KCFL \
  | 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: 177b0326a57353dae49abb69efe9422ad5bbe9749edc54cdcde47dd221e6d128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f97b778738d8f5af9162234777f403a4d7e909e3a56b389f39279115abd53d16",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-09-30T08:32:54Z",
    "title_canon_sha256": "64e7c807c80a742d8ad112815d3022d66374a4c186f6c822005c8b6d95358ca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7752",
    "kind": "arxiv",
    "version": 1
  }
}