Pith Number

pith:OXJVKIKW

pith:2018:OXJVKIKWZISL64KGBUHKIXOSS3

not attested not anchored not stored refs pending

Gradient Estimates and Ergodicity for SDEs Driven by Multiplicative L\'{e}vy Noises via Coupling

Jian Wang, Mingjie Liang

arxiv:1801.05936 v1 · 2018-01-18 · 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{OXJVKIKWZISL64KGBUHKIXOSS3}

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.

Cited by

1 paper in Pith

First Exit Time Analysis of Stochastic Gradient Descent Under Heavy-Tailed Gradient Noise

Receipt and verification

First computed	2026-05-18T00:25:36.076445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75d3552156ca24bf71460d0ea45dd296e53aa042000d27579d639c015ed93715

Aliases

arxiv: 1801.05936 · arxiv_version: 1801.05936v1 · doi: 10.48550/arxiv.1801.05936 · pith_short_12: OXJVKIKWZISL · pith_short_16: OXJVKIKWZISL64KG · pith_short_8: OXJVKIKW

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/OXJVKIKWZISL64KGBUHKIXOSS3 \
  | 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: 75d3552156ca24bf71460d0ea45dd296e53aa042000d27579d639c015ed93715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8870f3c9746fd806ebcc23496aca2bd193347cdbd9bf110cbd9fa7791c80d278",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-18T04:56:25Z",
    "title_canon_sha256": "7b5033267d0b567c024d5dd4138328e01a89c11c37e06016139a846ce69fbc08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05936",
    "kind": "arxiv",
    "version": 1
  }
}