Pith Number

pith:BI2PCV5I

pith:2011:BI2PCV5IQ2YUITRUE3EW6JNBVH

not attested not anchored not stored refs pending

Central limit theorem for a Stratonovich integral with Malliavin calculus

Daniel Harnett, David Nualart

arxiv:1105.4841 v3 · 2011-05-24 · 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{BI2PCV5IQ2YUITRUE3EW6JNBVH}

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	2026-05-18T03:17:35.561354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a34f157a886b1444e3426c96f25a1a9e966180a28f5badd076c057c84773b5d

Aliases

arxiv: 1105.4841 · arxiv_version: 1105.4841v3 · doi: 10.48550/arxiv.1105.4841 · pith_short_12: BI2PCV5IQ2YU · pith_short_16: BI2PCV5IQ2YUITRU · pith_short_8: BI2PCV5I

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/BI2PCV5IQ2YUITRUE3EW6JNBVH \
  | 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: 0a34f157a886b1444e3426c96f25a1a9e966180a28f5badd076c057c84773b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c25f75e19081a18cba1fc2f9ff71499b0fb91816c3e0c74851fe45246ac0be48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-24T17:32:13Z",
    "title_canon_sha256": "466ccc64ccdc5edd291b9ac74ec8609d80d83a64e0b0f51a0aa279cacca0972d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4841",
    "kind": "arxiv",
    "version": 3
  }
}