Pith Number

pith:STEWI7NR

pith:2019:STEWI7NRFUY7G5C7Y3BJVQFB5U

not attested not anchored not stored refs pending

A Clark-Ocone type formula via Ito calculus and its application to finance

Ryoichi Suzuki, Takuji Arai

arxiv:1906.06648 v1 · 2019-06-16 · q-fin.MF · 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{STEWI7NRFUY7G5C7Y3BJVQFB5U}

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	2026-05-17T23:43:13.054532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94c9647db12d31f3745fc6c29ac0a1ed0686398374030006a69ef11503e61ea6

Aliases

arxiv: 1906.06648 · arxiv_version: 1906.06648v1 · doi: 10.48550/arxiv.1906.06648 · pith_short_12: STEWI7NRFUY7 · pith_short_16: STEWI7NRFUY7G5C7 · pith_short_8: STEWI7NR

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/STEWI7NRFUY7G5C7Y3BJVQFB5U \
  | 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: 94c9647db12d31f3745fc6c29ac0a1ed0686398374030006a69ef11503e61ea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "663a3586b8c7dafe39b2ea589889959494ab5796086341e838f45e9cf241a4f6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2019-06-16T05:17:46Z",
    "title_canon_sha256": "4983e339de644168732679c768f3e84c227d151ab531b815de01507bfba36083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06648",
    "kind": "arxiv",
    "version": 1
  }
}