Pith Number

pith:MQTFJ7CK

pith:2018:MQTFJ7CKS7QYHTNSIU3H22MTA6

not attested not anchored not stored refs pending

Gradient Descent Finds Global Minima of Deep Neural Networks

Haochuan Li, Jason D. Lee, Liwei Wang, Simon S. Du, Xiyu Zhai

arxiv:1811.03804 v4 · 2018-11-09 · cs.LG · cs.AI · cs.CV · math.OC · stat.ML

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\usepackage{pith}
\pithnumber{MQTFJ7CKS7QYHTNSIU3H22MTA6}

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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

Limitations of Lazy Training of Two-layers Neural Networks

Two-block vs. Multi-block ADMM: An empirical evaluation of convergence

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

Estimating Dense-Packed Zone Height in Liquid-Liquid Separation: A Physics-Informed Neural Network Approach

Receipt and verification

First computed	2026-05-17T23:44:49.520621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

642654fc4a97e183cdb245367d699307a1dced49f05682222ed6e3c237ce4254

Aliases

arxiv: 1811.03804 · arxiv_version: 1811.03804v4 · doi: 10.48550/arxiv.1811.03804 · pith_short_12: MQTFJ7CKS7QY · pith_short_16: MQTFJ7CKS7QYHTNS · pith_short_8: MQTFJ7CK

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/MQTFJ7CKS7QYHTNSIU3H22MTA6 \
  | 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: 642654fc4a97e183cdb245367d699307a1dced49f05682222ed6e3c237ce4254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e90b7d4c973220abb227d88a48559d09cdc9dfeaa72b2ddd76bc1a9e119f6197",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CV",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-11-09T07:39:59Z",
    "title_canon_sha256": "e83fb9bc7cef7c02f92de7238aba2bd3985e07f70fd6191eae758f4efa58234c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03804",
    "kind": "arxiv",
    "version": 4
  }
}