Pith Number

pith:QD2XQZTY

pith:2017:QD2XQZTY22TM6FYJBRPBYXG2ZZ

not attested not anchored not stored refs pending

Ergodicity of stochastic differential equations with jumps and singular coefficients

Longjie Xie, Xicheng Zhang

arxiv:1705.07402 v1 · 2017-05-21 · 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{QD2XQZTY22TM6FYJBRPBYXG2ZZ}

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

2 papers in Pith

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

Strong and weak convergence in the averaging principle for SDEs with H\"older coefficients

Receipt and verification

First computed	2026-05-18T00:44:05.708950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80f5786678d6a6cf17090c5e1c5cdace41e78505a8784502f6f1a9b30cc603ff

Aliases

arxiv: 1705.07402 · arxiv_version: 1705.07402v1 · doi: 10.48550/arxiv.1705.07402 · pith_short_12: QD2XQZTY22TM · pith_short_16: QD2XQZTY22TM6FYJ · pith_short_8: QD2XQZTY

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/QD2XQZTY22TM6FYJBRPBYXG2ZZ \
  | 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: 80f5786678d6a6cf17090c5e1c5cdace41e78505a8784502f6f1a9b30cc603ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f1f93fb5c4b5c5c2e373fd35fee96088accefbf628848ec94506bb66d6ec45e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-21T06:11:24Z",
    "title_canon_sha256": "4ff812116bdb312a466d5d16aaef01e0cfa3bc1c097ce4847a3bbee3bfa4e072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07402",
    "kind": "arxiv",
    "version": 1
  }
}