Pith Number

pith:HRBC2HBK

pith:2023:HRBC2HBKDYH2FV5GKMSEZMREME

not attested not anchored not stored refs pending

High-probability Convergence Bounds for Nonlinear Stochastic Gradient Descent Under Heavy-tailed Noise

Aleksandar Armacki, Dragana Bajovic, Dusan Jakovetic, Gauri Joshi, Pranay Sharma, Soummya Kar

arxiv:2310.18784 v7 · 2023-10-28 · cs.LG · math.OC · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRBC2HBKDYH2FV5GKMSEZMREME}

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	2026-07-05T08:14:01.987173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c422d1c2a1e0fa2d7a653244cb2246111ccbc8654b139960efae19a886c5f91

Aliases

arxiv: 2310.18784 · arxiv_version: 2310.18784v7 · doi: 10.48550/arxiv.2310.18784 · pith_short_12: HRBC2HBKDYH2 · pith_short_16: HRBC2HBKDYH2FV5G · pith_short_8: HRBC2HBK

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/HRBC2HBKDYH2FV5GKMSEZMREME \
  | 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: 3c422d1c2a1e0fa2d7a653244cb2246111ccbc8654b139960efae19a886c5f91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "590214d8e50752d48dc828d9ee396f8675246e963c1f23f0df11324df2f54d3b",
    "cross_cats_sorted": [
      "math.OC",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-10-28T18:53:41Z",
    "title_canon_sha256": "f675822d539980b1f9e693c44dd1c412c1b6a84f605ab27e5af9544fe6b78f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.18784",
    "kind": "arxiv",
    "version": 7
  }
}