Pith Number

pith:4D4MKSDP

pith:2022:4D4MKSDPW4HAFFM6UBFJR2DQBL

not attested not anchored not stored refs pending

Convergence and exponential stability of modified truncated Milstein method for stochastic differential equations

Guangqiang Lan, Yu Jiang

arxiv:2209.12111 v1 · 2022-09-25 · math.NA · cs.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{4D4MKSDPW4HAFFM6UBFJR2DQBL}

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	2026-07-05T05:00:49.011724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f8c5486fb70e02959ea04a98e8700ac71a62f4a8e8a003452fd6c4559236ea

Aliases

arxiv: 2209.12111 · arxiv_version: 2209.12111v1 · doi: 10.48550/arxiv.2209.12111 · pith_short_12: 4D4MKSDPW4HA · pith_short_16: 4D4MKSDPW4HAFFM6 · pith_short_8: 4D4MKSDP

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/4D4MKSDPW4HAFFM6UBFJR2DQBL \
  | 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: e0f8c5486fb70e02959ea04a98e8700ac71a62f4a8e8a003452fd6c4559236ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0b77cfe4ba3fd222da29f29b65fd782618726b0e77c16cdab0a00a047549b29",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-09-25T00:35:02Z",
    "title_canon_sha256": "a4171ef39bf0494ec9d10ce1abf9c9f22e8a4881525c42ab77757303b7f16f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.12111",
    "kind": "arxiv",
    "version": 1
  }
}