Pith Number

pith:F72ZJ3KK

pith:2013:F72ZJ3KKMAPICKKG46BWMSIJAU

not attested not anchored not stored refs pending

Exponential integrability properties of numerical approximation processes for nonlinear stochastic differential equations

Arnulf Jentzen, Martin Hutzenthaler, Xiaojie Wang

arxiv:1309.7657 v3 · 2013-09-29 · math.NA · cs.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{F72ZJ3KKMAPICKKG46BWMSIJAU}

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	2026-06-04T14:09:12.192535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff594ed4a601e812946e7836649090501384f14622c86f04e42cf25eff35a10

Aliases

arxiv: 1309.7657 · arxiv_version: 1309.7657v3 · doi: 10.48550/arxiv.1309.7657 · pith_short_12: F72ZJ3KKMAPI · pith_short_16: F72ZJ3KKMAPICKKG · pith_short_8: F72ZJ3KK

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/F72ZJ3KKMAPICKKG46BWMSIJAU \
  | 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: 2ff594ed4a601e812946e7836649090501384f14622c86f04e42cf25eff35a10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8398060b844d0230b7bbf2a90c96a66a3c4a01517214fde4ff0ea77c51c75e7e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-09-29T20:19:41Z",
    "title_canon_sha256": "86e381b9107454bff72b656451788e05b0b96517df349ba43d26d38867adb1ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7657",
    "kind": "arxiv",
    "version": 3
  }
}