Pith Number

pith:6IQMJ647

pith:2008:6IQMJ647XL6XW5VXX67LLRRELH

not attested not anchored not stored refs pending

Multiple Stratonovich integral and Hu--Meyer formula for L\'{e}vy processes

Frederic Utzet, Maria Jolis, Merc\`e Farr\'e

arxiv:0802.3112 v2 · 2008-02-21 · 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{6IQMJ647XL6XW5VXX67LLRRELH}

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	2026-05-18T04:36:41.433924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f220c4fb9fbafd7b76b7bfbeb5c62459e068d89cabe7088e453f2028acc6d669

Aliases

arxiv: 0802.3112 · arxiv_version: 0802.3112v2 · doi: 10.48550/arxiv.0802.3112 · pith_short_12: 6IQMJ647XL6X · pith_short_16: 6IQMJ647XL6XW5VX · pith_short_8: 6IQMJ647

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/6IQMJ647XL6XW5VXX67LLRRELH \
  | 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: f220c4fb9fbafd7b76b7bfbeb5c62459e068d89cabe7088e453f2028acc6d669

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe03e3d7584a7a19e6f71fe846d0d49e68768fa3107f160d4d3a7c72b8709c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-02-21T13:53:18Z",
    "title_canon_sha256": "15543ae96cf3a57da32f17d5d57c34a5a57c43a18c6be1131f76106d1c921b09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3112",
    "kind": "arxiv",
    "version": 2
  }
}