Pith Number

pith:IDOKE32O

pith:2013:IDOKE32OUPWDPQ5LVFEPAV7QWU

not attested not anchored not stored refs pending

Integration by Parts Formula and Applications for SDEs with L\'evy Noise

Feng-Yu Wang

arxiv:1308.5799 v1 · 2013-08-27 · 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{IDOKE32OUPWDPQ5LVFEPAV7QWU}

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	2026-05-18T03:14:51.166102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40dca26f4ea3ec37c3aba948f057f0b52fee6105e689360ce9633c6c6f289332

Aliases

arxiv: 1308.5799 · arxiv_version: 1308.5799v1 · doi: 10.48550/arxiv.1308.5799 · pith_short_12: IDOKE32OUPWD · pith_short_16: IDOKE32OUPWDPQ5L · pith_short_8: IDOKE32O

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/IDOKE32OUPWDPQ5LVFEPAV7QWU \
  | 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: 40dca26f4ea3ec37c3aba948f057f0b52fee6105e689360ce9633c6c6f289332

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a36b6cf9040b5e0f422902aa0de85ab353370c43a404f8565fcf8d3c2374286",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-27T09:00:35Z",
    "title_canon_sha256": "c40bcd690b8aafa3c9bfda2d744711ad8ed86f35836f63eda47f2191cd11da85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5799",
    "kind": "arxiv",
    "version": 1
  }
}