Pith Number

pith:CU5AHOYQ

pith:2016:CU5AHOYQENT742PGDCP372QERO

not attested not anchored not stored refs pending

Integration by Parts Formula and Applications for SPDEs with Jumps

Feng-Yu Wang

arxiv:1601.01733 v1 · 2016-01-08 · 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{CU5AHOYQENT742PGDCP372QERO}

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	2026-05-18T01:23:11.463947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

153a03bb102367fe69e6189fbfea048bb045b4a97978952b523a69d0ef4e5474

Aliases

arxiv: 1601.01733 · arxiv_version: 1601.01733v1 · doi: 10.48550/arxiv.1601.01733 · pith_short_12: CU5AHOYQENT7 · pith_short_16: CU5AHOYQENT742PG · pith_short_8: CU5AHOYQ

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/CU5AHOYQENT742PGDCP372QERO \
  | 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: 153a03bb102367fe69e6189fbfea048bb045b4a97978952b523a69d0ef4e5474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a3746a273f03f5841ea52d72ed32c72dec95e2fef5da78153729b503144c3b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-08T00:42:40Z",
    "title_canon_sha256": "def4daa17506bd9bc1ec116308de032a984554f4270e01833372da7a44372e82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01733",
    "kind": "arxiv",
    "version": 1
  }
}