Pith Number

pith:UG3HLOPJ

pith:2023:UG3HLOPJINL4RQR2SENSINAPRV

not attested not anchored not stored refs pending

Exponential convergence rates for momentum stochastic gradient descent in the overparametrized setting

Benjamin Gess, Sebastian Kassing

arxiv:2302.03550 v2 · 2023-02-07 · math.OC · cs.LG · math.PR · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UG3HLOPJINL4RQR2SENSINAPRV}

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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

Optimization Hyper-parameter Laws for Large Language Models

Receipt and verification

First computed	2026-07-05T09:31:40.520131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1b675b9e94357c8c23a911b24340f8d528e145663ada2d2bf1cb5526b53646f

Aliases

arxiv: 2302.03550 · arxiv_version: 2302.03550v2 · doi: 10.48550/arxiv.2302.03550 · pith_short_12: UG3HLOPJINL4 · pith_short_16: UG3HLOPJINL4RQR2 · pith_short_8: UG3HLOPJ

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/UG3HLOPJINL4RQR2SENSINAPRV \
  | 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: a1b675b9e94357c8c23a911b24340f8d528e145663ada2d2bf1cb5526b53646f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6df95297c0141339de36d0d1b63273be2ba2c79b83b7fcb696f604bdca9e9b33",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-02-07T15:59:08Z",
    "title_canon_sha256": "8bdb0ee3b7c63c8e56b0716d89f388ed9cd3e93752709717b6e78c0fa949eb3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.03550",
    "kind": "arxiv",
    "version": 2
  }
}