Pith Number

pith:2P73JOEP

pith:2025:2P73JOEPEZK3M3SA5RIRIVH57M

not attested not anchored not stored refs pending

On the rate of convergence of an over-parametrized deep neural network regression estimate learned by gradient descent

Michael Kohler

arxiv:2504.03405 v1 · 2025-04-04 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2P73JOEPEZK3M3SA5RIRIVH57M}

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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

Generalization in Deep Neural Networks: Minimax Rates for Gradient Methods

Receipt and verification

First computed	2026-07-05T10:44:31.597627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3ffb4b88f2655b66e40ec511454fdfb2c734b24de00711c5b8a65133aafc981

Aliases

arxiv: 2504.03405 · arxiv_version: 2504.03405v1 · doi: 10.48550/arxiv.2504.03405 · pith_short_12: 2P73JOEPEZK3 · pith_short_16: 2P73JOEPEZK3M3SA · pith_short_8: 2P73JOEP

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/2P73JOEPEZK3M3SA5RIRIVH57M \
  | 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: d3ffb4b88f2655b66e40ec511454fdfb2c734b24de00711c5b8a65133aafc981

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4cf3176a5841b9b12974732ae8c9429db07352d81f0e22b0c406c0f3715dd9e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-04-04T12:28:54Z",
    "title_canon_sha256": "d5cc677cc30ef676b19dc3400e4ba2e836c68f11d853e5468525f04d0e9b0716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.03405",
    "kind": "arxiv",
    "version": 1
  }
}