Pith Number

pith:ZCL4F3SJ

pith:2020:ZCL4F3SJHAKGRTX6UZMF3VRNXF

not attested not anchored not stored refs pending

On the Convergence of Gradient Descent Training for Two-layer ReLU-networks in the Mean Field Regime

Stephan Wojtowytsch

arxiv:2005.13530 v1 · 2020-05-27 · math.AP · cs.LG · stat.ML

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\usepackage{pith}
\pithnumber{ZCL4F3SJHAKGRTX6UZMF3VRNXF}

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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

4 papers in Pith

Mildly Overparameterized ReLU Networks on Orthogonal Data: Incremental Learning and Implicit Bias

Gradient flow dynamics of shallow ReLU networks for square loss and orthogonal inputs

Large Spikes in Stochastic Gradient Descent: A Large-Deviations View

On the global convergence of gradient flow for wide shallow models beyond homogeneous nonlinearities

Receipt and verification

First computed	2026-07-05T01:06:16.570674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c897c2ee49381468cefea6585dd62db951ac983992e9f3f63243504b2c2cca62

Aliases

arxiv: 2005.13530 · arxiv_version: 2005.13530v1 · doi: 10.48550/arxiv.2005.13530 · pith_short_12: ZCL4F3SJHAKG · pith_short_16: ZCL4F3SJHAKGRTX6 · pith_short_8: ZCL4F3SJ

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/ZCL4F3SJHAKGRTX6UZMF3VRNXF \
  | 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: c897c2ee49381468cefea6585dd62db951ac983992e9f3f63243504b2c2cca62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f954f0779c0e9ae7dbfc5673f82d74471b648b9b27eaa3003d85ae8fc567cca",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-05-27T17:54:17Z",
    "title_canon_sha256": "0d610f1d4b6244a6c3cbea832c5145fc4f525c38001ce0eb6c3dd74b431c0947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.13530",
    "kind": "arxiv",
    "version": 1
  }
}