Pith Number

pith:E4L5HCYG

pith:2010:E4L5HCYGEUIU4FUFEM3PFU2O67

not attested not anchored not stored refs pending

Berry-Ess\'een Bounds for Long Memory Moving Averages via Stein's Method and Malliavin Calculus

Ciprian Tudor (LPP), Solesne Bourguin (SAMM)

arxiv:1009.1217 v1 · 2010-09-07 · 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{E4L5HCYGEUIU4FUFEM3PFU2O67}

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	2026-05-18T02:43:37.359592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2717d38b0625114e16852336f2d34ef7e0b88254a3735dfb3a83f4c39be09581

Aliases

arxiv: 1009.1217 · arxiv_version: 1009.1217v1 · doi: 10.48550/arxiv.1009.1217 · pith_short_12: E4L5HCYGEUIU · pith_short_16: E4L5HCYGEUIU4FUF · pith_short_8: E4L5HCYG

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/E4L5HCYGEUIU4FUFEM3PFU2O67 \
  | 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: 2717d38b0625114e16852336f2d34ef7e0b88254a3735dfb3a83f4c39be09581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4557e000c6ad310d1639b0631c2609b644103ac8975dd7bcd464d737b4223e0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-07T07:55:15Z",
    "title_canon_sha256": "32bbe0e4b0e0a3a7581ee12d78fd971d50faa88b6dc998c9ea2144f675aa96ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1217",
    "kind": "arxiv",
    "version": 1
  }
}