Pith Number

pith:BD7NID4W

pith:2019:BD7NID4WJBFN53EKRNIB6A5IZQ

not attested not anchored not stored refs pending

A Wong-Zakai Approximation of Stochastic Differential Equations Driven by a General Semimartingale

Guangyue Han, Xianming Liu

arxiv:1902.06609 v1 · 2019-02-18 · 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{BD7NID4WJBFN53EKRNIB6A5IZQ}

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	2026-05-17T23:53:44.989920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08fed40f96484adeec8a8b501f03a8cc1a478d0db9fca8b35727e9d7fc681027

Aliases

arxiv: 1902.06609 · arxiv_version: 1902.06609v1 · doi: 10.48550/arxiv.1902.06609 · pith_short_12: BD7NID4WJBFN · pith_short_16: BD7NID4WJBFN53EK · pith_short_8: BD7NID4W

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/BD7NID4WJBFN53EKRNIB6A5IZQ \
  | 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: 08fed40f96484adeec8a8b501f03a8cc1a478d0db9fca8b35727e9d7fc681027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319420069f25a97f5fd024ee63f8bd01fa758240890be6fa7bc7a73a90e87063",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-18T15:22:18Z",
    "title_canon_sha256": "31017f23701d4b8bf69330d48fbf01109a2962888352ec45537b91a6cb8a1ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06609",
    "kind": "arxiv",
    "version": 1
  }
}