Pith Number

pith:CADPNKXI

pith:2017:CADPNKXIZVDFUOLCQTAV6DBIR6

not attested not anchored not stored refs pending

Asymptotic expansion of Skorohod integrals

David Nualart, nakahiro yoshida

arxiv:1801.00120 v1 · 2017-12-30 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CADPNKXIZVDFUOLCQTAV6DBIR6}

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	2026-05-18T00:26:59.350462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1006f6aae8cd465a396284c15f0c288f88d34099185a0bed9168234b67683191

Aliases

arxiv: 1801.00120 · arxiv_version: 1801.00120v1 · doi: 10.48550/arxiv.1801.00120 · pith_short_12: CADPNKXIZVDF · pith_short_16: CADPNKXIZVDFUOLC · pith_short_8: CADPNKXI

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/CADPNKXIZVDFUOLCQTAV6DBIR6 \
  | 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: 1006f6aae8cd465a396284c15f0c288f88d34099185a0bed9168234b67683191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4513f7de436850ab15f6794901c8bc999bcadd06bcfa46fd8875927eb579de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-30T11:51:24Z",
    "title_canon_sha256": "8561347e1626e6e7326587d5f9ce21e9eb347bf633a438b0dfe7549b00194a4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00120",
    "kind": "arxiv",
    "version": 1
  }
}