Pith Number

pith:V7CDR2FO

pith:2018:V7CDR2FOQHRV3KBRRJ3NKZN6WW

not attested not anchored not stored refs pending

Breaking Reversibility Accelerates Langevin Dynamics for Global Non-Convex Optimization

Lingjiong Zhu, Mert Gurbuzbalaban, Xuefeng Gao

arxiv:1812.07725 v4 · 2018-12-19 · math.OC · cs.LG · cs.NA · math.NA · math.PR · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7CDR2FOQHRV3KBRRJ3NKZN6WW}

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	2026-06-04T20:13:48.969958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afc438e8ae81e35da8318a76d565beb58519d1d93bc52f293688e8a7e1da6b4a

Aliases

arxiv: 1812.07725 · arxiv_version: 1812.07725v4 · doi: 10.48550/arxiv.1812.07725 · pith_short_12: V7CDR2FOQHRV · pith_short_16: V7CDR2FOQHRV3KBR · pith_short_8: V7CDR2FO

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/V7CDR2FOQHRV3KBRRJ3NKZN6WW \
  | 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: afc438e8ae81e35da8318a76d565beb58519d1d93bc52f293688e8a7e1da6b4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b11d484cd12aa68782d1b07c57ee27c5fb3f59f4867a93923de7594400f2f00",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-12-19T01:27:19Z",
    "title_canon_sha256": "dad8a6eff990d1404b0284239be5db5eb340a905ef948143810c2072f609d700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07725",
    "kind": "arxiv",
    "version": 4
  }
}