Pith Number

pith:Z4ZRB26K

pith:2018:Z4ZRB26KEGPY5ZNSW64WLDTDHJ

not attested not anchored not stored refs pending

Invariant measures of the Milstein method for stochastic differential equations with commutative noise

Lihui Weng, Wei Liu

arxiv:1804.09923 v2 · 2018-04-26 · 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{Z4ZRB26KEGPY5ZNSW64WLDTDHJ}

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	2026-05-17T23:55:34.486179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf3310ebca219f8ee5b2b7b9658e633a7bbd652e5da5f18bb4123dc69b216a68

Aliases

arxiv: 1804.09923 · arxiv_version: 1804.09923v2 · doi: 10.48550/arxiv.1804.09923 · pith_short_12: Z4ZRB26KEGPY · pith_short_16: Z4ZRB26KEGPY5ZNS · pith_short_8: Z4ZRB26K

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/Z4ZRB26KEGPY5ZNSW64WLDTDHJ \
  | 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: cf3310ebca219f8ee5b2b7b9658e633a7bbd652e5da5f18bb4123dc69b216a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fb8d9d54a700db11f638f2b8f0e66658cea45effe9014cecd890ca53dddfdfb",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-04-26T07:44:25Z",
    "title_canon_sha256": "83f4ca814080a164386f530b9a25367119ac4a55c4a96ea0f71f3b52a129674c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09923",
    "kind": "arxiv",
    "version": 2
  }
}