Pith Number

pith:X2LNC7T3

pith:2018:X2LNC7T3RMFILEBILKFDPF7Y4W

not attested not anchored not stored refs pending

A note on convergence and stability of the truncated Milstein method for stochastic differential equations

Weijun Zhan, Wei Liu, Yanan Jiang

arxiv:1809.05993 v1 · 2018-09-17 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2LNC7T3RMFILEBILKFDPF7Y4W}

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	2026-05-18T00:05:35.922334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be96d17e7b8b0a8590285a8a3797f8e58ca92e23fea06a44ec88bfce7d645bd6

Aliases

arxiv: 1809.05993 · arxiv_version: 1809.05993v1 · doi: 10.48550/arxiv.1809.05993 · pith_short_12: X2LNC7T3RMFI · pith_short_16: X2LNC7T3RMFILEBI · pith_short_8: X2LNC7T3

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/X2LNC7T3RMFILEBILKFDPF7Y4W \
  | 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: be96d17e7b8b0a8590285a8a3797f8e58ca92e23fea06a44ec88bfce7d645bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "774432bcfa256148d5123892bc9de5363e77180bcb37a72b82c7989cb39d72f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-09-17T01:37:14Z",
    "title_canon_sha256": "e95fd70606656bb7681a1ab565265fd04dc637f6ed2785f4fbeb52a907e946c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05993",
    "kind": "arxiv",
    "version": 1
  }
}