Pith Number

pith:37VL664E

pith:2023:37VL664E7OB6S5Q6FCYDD53QNQ

not attested not anchored not stored refs pending

Expressivity and Approximation Properties of Deep Neural Networks with ReLU$^k$ Activation

Jinchao Xu, Juncai He, Tong Mao

arxiv:2312.16483 v2 · 2023-12-27 · cs.LG · cs.NA · cs.NE · math.NA

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\usepackage{pith}
\pithnumber{37VL664E7OB6S5Q6FCYDD53QNQ}

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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

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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

3 papers in Pith

Shallow ReLU$^s$ Networks in $L^p$-Type and Sobolev Spaces: Approximation and Path-Norm Controlled Generalization

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations

Receipt and verification

First computed	2026-07-05T07:32:26.307010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfeabf7b84fb83e9761e28b031f7706c3bf8435c2d4b6e9c8716027e6736a808

Aliases

arxiv: 2312.16483 · arxiv_version: 2312.16483v2 · doi: 10.48550/arxiv.2312.16483 · pith_short_12: 37VL664E7OB6 · pith_short_16: 37VL664E7OB6S5Q6 · pith_short_8: 37VL664E

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/37VL664E7OB6S5Q6FCYDD53QNQ \
  | 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: dfeabf7b84fb83e9761e28b031f7706c3bf8435c2d4b6e9c8716027e6736a808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89ce68ec9f70750f790c4b61cc740756e7ce519d988e8733808ee5d60a3166dc",
    "cross_cats_sorted": [
      "cs.NA",
      "cs.NE",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-12-27T09:11:14Z",
    "title_canon_sha256": "c1eefb77c8db3dae8e36551b6b1a7123df917281ccb396efb03b4f604f339efb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.16483",
    "kind": "arxiv",
    "version": 2
  }
}