Pith Number

pith:ZMZE4CC3

pith:2018:ZMZE4CC3MGWEI2U6CX4YRYYLHU

not attested not anchored not stored refs pending

Berry-Esseen bounds in the Breuer-Major CLT and Gebelein's inequality

Giovanni Peccati, Ivan Nourdin, Xiaochuan Yang

arxiv:1812.08838 v2 · 2018-12-20 · 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{ZMZE4CC3MGWEI2U6CX4YRYYLHU}

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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.

Cited by

1 paper in Pith

AR(1) processes driven by second-chaos white noise: Berry-Ess\'een bounds for quadratic variation and parameter estimation

Receipt and verification

First computed	2026-05-17T23:46:45.884008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb324e085b61ac446a9e15f988e30b3d3d2ab35380638158b9f4977a2d59307d

Aliases

arxiv: 1812.08838 · arxiv_version: 1812.08838v2 · doi: 10.48550/arxiv.1812.08838 · pith_short_12: ZMZE4CC3MGWE · pith_short_16: ZMZE4CC3MGWEI2U6 · pith_short_8: ZMZE4CC3

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/ZMZE4CC3MGWEI2U6CX4YRYYLHU \
  | 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: cb324e085b61ac446a9e15f988e30b3d3d2ab35380638158b9f4977a2d59307d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1df8c39cec1ca025d9daba211d7afae62b32dd867b16958e7baf70dcb397e863",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-20T21:04:12Z",
    "title_canon_sha256": "521d709e944bd6c5231a259652e988a31a646238cc8ae653115da37ea7b83e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08838",
    "kind": "arxiv",
    "version": 2
  }
}