Pith Number

pith:X324HKTI

pith:2023:X324HKTI7DELKAFIS2U7RKCQA4

not attested not anchored not stored refs pending

Optimal rates of approximation by shallow ReLU$^k$ neural networks and applications to nonparametric regression

Ding-Xuan Zhou, Yunfei Yang

arxiv:2304.01561 v3 · 2023-04-04 · stat.ML · cs.LG

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\usepackage{pith}
\pithnumber{X324HKTI7DELKAFIS2U7RKCQA4}

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Record completeness

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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

Do Neural Networks Really Beat the Curse of Dimensionality? A Bit-Complexity View

Receipt and verification

First computed	2026-07-05T08:26:56.544344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bef5c3aa68f8c8b500a896a9f8a850070e6a58982ddd26f630f087a49cc178af

Aliases

arxiv: 2304.01561 · arxiv_version: 2304.01561v3 · doi: 10.48550/arxiv.2304.01561 · pith_short_12: X324HKTI7DEL · pith_short_16: X324HKTI7DELKAFI · pith_short_8: X324HKTI

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/X324HKTI7DELKAFIS2U7RKCQA4 \
  | 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: bef5c3aa68f8c8b500a896a9f8a850070e6a58982ddd26f630f087a49cc178af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92cdb294486fc368c7e3cb9705d8e39573d7f529580a80be0f9255635bedc8f2",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-04-04T06:35:02Z",
    "title_canon_sha256": "143eab5bf274b8b4414dd936f669426e1454d5e76e644bd90227747e2121b6d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.01561",
    "kind": "arxiv",
    "version": 3
  }
}