Pith Number

pith:DTZK5XBC

pith:2024:DTZK5XBCOSMSW47DDYEXE6ZU6T

not attested not anchored not stored refs pending

Stochastic Gradient Descent for Two-layer Neural Networks

Dinghao Cao, Lei Shi, Zheng-Chu Guo

arxiv:2407.07670 v1 · 2024-07-10 · stat.ML · cs.LG

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\usepackage{pith}
\pithnumber{DTZK5XBCOSMSW47DDYEXE6ZU6T}

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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

2 papers in Pith

Minimax-Optimal Generalization Bounds for Smooth Deep Neural Networks Trained by (Stochastic) Gradient Descent

Optimal Rates for Generalization of Gradient Descent Methods with Deep Neural Networks

Receipt and verification

First computed	2026-07-05T08:42:23.964372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cf2aedc2274992b73e31e09727b34f4e23da7e0bc9bf845ab9aa18f07e69131

Aliases

arxiv: 2407.07670 · arxiv_version: 2407.07670v1 · doi: 10.48550/arxiv.2407.07670 · pith_short_12: DTZK5XBCOSMS · pith_short_16: DTZK5XBCOSMSW47D · pith_short_8: DTZK5XBC

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/DTZK5XBCOSMSW47DDYEXE6ZU6T \
  | 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: 1cf2aedc2274992b73e31e09727b34f4e23da7e0bc9bf845ab9aa18f07e69131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78ee954548ce32c9797a0ef0b23f47a746da8f748bab88f329148b74e3cb1bd6",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-07-10T13:58:57Z",
    "title_canon_sha256": "2380e235d04b0567e9ef4e2ab0225b13ff33de88fd21dfa38476eae5439ec8e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.07670",
    "kind": "arxiv",
    "version": 1
  }
}