Pith Number

pith:WZ3LWSJU

pith:2017:WZ3LWSJUZNK33CI35NXGZ7ANGI

not attested not anchored not stored refs pending

A randomized Milstein method for stochastic differential equations with non-differentiable drift coefficients

Raphael Kruse, Yue Wu

arxiv:1706.09964 v2 · 2017-06-29 · math.NA · 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{WZ3LWSJUZNK33CI35NXGZ7ANGI}

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	2026-05-17T23:58:42.440228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b676bb4934cb55bd891beb6e6cfc0d3206f1317ce9bb9f8bb39d3db5211e42c0

Aliases

arxiv: 1706.09964 · arxiv_version: 1706.09964v2 · doi: 10.48550/arxiv.1706.09964 · pith_short_12: WZ3LWSJUZNK3 · pith_short_16: WZ3LWSJUZNK33CI3 · pith_short_8: WZ3LWSJU

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/WZ3LWSJUZNK33CI35NXGZ7ANGI \
  | 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: b676bb4934cb55bd891beb6e6cfc0d3206f1317ce9bb9f8bb39d3db5211e42c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfe05baa6938676d9d6a8cf8ff89f6db8809665920af394ebbc798425a211714",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-06-29T21:53:46Z",
    "title_canon_sha256": "9f4bad8b7066b8389dc7884127489a4162b068fc7fa57577f51bdca3e7704455"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09964",
    "kind": "arxiv",
    "version": 2
  }
}