Pith Number

pith:XGEGMSCC

pith:2024:XGEGMSCCOLQ37TCTDNFKHQA7L6

not attested not anchored not stored refs pending

Nonconvex Stochastic Optimization under Heavy-Tailed Noises: Optimal Convergence without Gradient Clipping

Zhengyuan Zhou, Zijian Liu

arxiv:2412.19529 v4 · 2024-12-27 · math.OC · cs.LG · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGEGMSCCOLQ37TCTDNFKHQA7L6}

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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

Constrained Stochastic Spectral Preconditioning Converges for Nonconvex Objectives

Receipt and verification

First computed	2026-07-05T11:11:39.164438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b98866484272e1bfcc531b4aa3c01f5fb9921751be75c1097911d721f28f4e75

Aliases

arxiv: 2412.19529 · arxiv_version: 2412.19529v4 · doi: 10.48550/arxiv.2412.19529 · pith_short_12: XGEGMSCCOLQ3 · pith_short_16: XGEGMSCCOLQ37TCT · pith_short_8: XGEGMSCC

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/XGEGMSCCOLQ37TCTDNFKHQA7L6 \
  | 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: b98866484272e1bfcc531b4aa3c01f5fb9921751be75c1097911d721f28f4e75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "321b51b4bd6314a78f9c15640fe547d7d53e732ba3577f80cf5960c21dd3e08a",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-27T08:46:46Z",
    "title_canon_sha256": "ab3eae5dfa3a91c956379ff4953cbecd0b00b7f37d4f729b032b9c418447d67f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19529",
    "kind": "arxiv",
    "version": 4
  }
}