Pith Number

pith:E2DKPZPJ

pith:2011:E2DKPZPJIMI54CLPLM7TAWNDOO

not attested not anchored not stored refs pending

Asymptotic independence of multiple Wiener-It\^{o} integrals and the resulting limit laws

Ivan Nourdin, Jan Rosi\'nski

arxiv:1112.5070 v4 · 2011-12-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2DKPZPJIMI54CLPLM7TAWNDOO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:57:53.962989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2686a7e5e94311de096f5b3f3059a373a1c758c928ec30b14169c45a2c47c97d

Aliases

arxiv: 1112.5070 · arxiv_version: 1112.5070v4 · doi: 10.48550/arxiv.1112.5070 · pith_short_12: E2DKPZPJIMI5 · pith_short_16: E2DKPZPJIMI54CLP · pith_short_8: E2DKPZPJ

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/E2DKPZPJIMI54CLPLM7TAWNDOO \
  | 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: 2686a7e5e94311de096f5b3f3059a373a1c758c928ec30b14169c45a2c47c97d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c50eed8bee1bfcb8cbcc4d3c3d6a765edc8693c547a73f14c19da56270e86e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-21T15:59:48Z",
    "title_canon_sha256": "6b8aecccc915c2a60939e42f3ddcce61f3fd05940318882381b07f8b65f4bb77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5070",
    "kind": "arxiv",
    "version": 4
  }
}