Pith Number

pith:QZNOSSAV

pith:2013:QZNOSSAVPWPV2J5OFD4PZ7WNTP

not attested not anchored not stored refs pending

Remarks on factorization property of some stochastic integrals

Zbigniew J. Jurek

arxiv:1304.7510 v2 · 2013-04-28 · 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{QZNOSSAVPWPV2J5OFD4PZ7WNTP}

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	2026-05-18T02:43:09.448142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

865ae948157d9f5d27ae28f8fcfecd9bc9c5bbdea88328de19b521e78089698b

Aliases

arxiv: 1304.7510 · arxiv_version: 1304.7510v2 · doi: 10.48550/arxiv.1304.7510 · pith_short_12: QZNOSSAVPWPV · pith_short_16: QZNOSSAVPWPV2J5O · pith_short_8: QZNOSSAV

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/QZNOSSAVPWPV2J5OFD4PZ7WNTP \
  | 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: 865ae948157d9f5d27ae28f8fcfecd9bc9c5bbdea88328de19b521e78089698b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "399d276dc4f25ab272e4d091fea391b282d5fa86fcfd806d22898fc02d8e9c86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-28T19:51:19Z",
    "title_canon_sha256": "1fdf1790ad408cc97f24d076e4173f76bdf34faee1f7795c01cddad29c042c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7510",
    "kind": "arxiv",
    "version": 2
  }
}