Pith Number

pith:CKEBGIFR

pith:2018:CKEBGIFR2AZQZFFRGM3247Y5BJ

not attested not anchored not stored refs pending

A Convergence Theory for Deep Learning via Over-Parameterization

Yuanzhi Li, Zeyuan Allen-Zhu, Zhao Song

arxiv:1811.03962 v5 · 2018-11-09 · cs.LG · cs.DS · cs.NE · math.OC · stat.ML

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\usepackage{pith}
\pithnumber{CKEBGIFR2AZQZFFRGM3247Y5BJ}

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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

7 papers in Pith

ID3 Learns Juntas for Smoothed Product Distributions

Limitations of Lazy Training of Two-layers Neural Networks

Convergence rates for gradient descent in the training of overparameterized artificial neural networks with piecewise affine activation

On the Eigenvalue Decay Rates of a Class of Neural-Network Related Kernel Functions Defined on General Domains

Alignment-Sensitive Minimax Rates for Spectral Algorithms with Learned Kernels

Receipt and verification

First computed	2026-05-17T23:43:17.267722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12881320b1d0330c94b13337ae7f1d0a6304d7d793791d988483c2e03de2aca0

Aliases

arxiv: 1811.03962 · arxiv_version: 1811.03962v5 · doi: 10.48550/arxiv.1811.03962 · pith_short_12: CKEBGIFR2AZQ · pith_short_16: CKEBGIFR2AZQZFFR · pith_short_8: CKEBGIFR

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/CKEBGIFR2AZQZFFRGM3247Y5BJ \
  | 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: 12881320b1d0330c94b13337ae7f1d0a6304d7d793791d988483c2e03de2aca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e3e26894853044740577b0dac69088bfdcb1bcaca753833d66233dca7f015e9",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.NE",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-11-09T15:16:13Z",
    "title_canon_sha256": "391002ecee5aac98737970e823a8165d44c3d535ef6a7be3c3ff412a44681a1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03962",
    "kind": "arxiv",
    "version": 5
  }
}