Pith Number

pith:XC2YWXMK

pith:2025:XC2YWXMK7UNRONXY6JTGSMOLUY

not attested not anchored not stored refs pending

Algorithmic Stability of Stochastic Gradient Descent with Momentum under Heavy-Tailed Noise

A K M Rokonuzzaman Sonet, Lingjiong Zhu, Melih Barsbey, Mert Gurbuzbalaban, Thanh Dang, Umut Simsekli

arxiv:2502.00885 v1 · 2025-02-02 · stat.ML · cs.LG · math.OC · 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{XC2YWXMK7UNRONXY6JTGSMOLUY}

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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

Stochastic Gradient Descent with Momentum is Algorithmically Stable

Receipt and verification

First computed	2026-07-05T10:08:39.613066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8b58b5d8afd1b1736f8f2666931cba637f3bbdb212951a3156ddd2fb6d9551a

Aliases

arxiv: 2502.00885 · arxiv_version: 2502.00885v1 · doi: 10.48550/arxiv.2502.00885 · pith_short_12: XC2YWXMK7UNR · pith_short_16: XC2YWXMK7UNRONXY · pith_short_8: XC2YWXMK

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/XC2YWXMK7UNRONXY6JTGSMOLUY \
  | 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: b8b58b5d8afd1b1736f8f2666931cba637f3bbdb212951a3156ddd2fb6d9551a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e525b2759e3826f8766a9c6adcb2387f8ee02f29437d9da05b3f02545cb4adf",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-02-02T19:25:48Z",
    "title_canon_sha256": "8d143a72672ccbebfb096b1d8c16426dbafcdaa5da69c3143dd40e94b8b1ebce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00885",
    "kind": "arxiv",
    "version": 1
  }
}