Pith Number

pith:O775YJRI

pith:2018:O775YJRIFV3V5F4GTXOMEA66D2

not attested not anchored not stored refs pending

The universal approximation power of finite-width deep ReLU networks

Dennis Elbr\"achter, Dmytro Perekrestenko, Helmut B\"olcskei, Philipp Grohs

arxiv:1806.01528 v1 · 2018-06-05 · cs.LG · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O775YJRIFV3V5F4GTXOMEA66D2}

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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

Deep neural network approximation theory for high-dimensional functions

Receipt and verification

First computed	2026-05-18T00:14:12.664422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77ffdc26282d775e97869ddcc203de1eb96dc087e905bdc61c9acdd8dcf48389

Aliases

arxiv: 1806.01528 · arxiv_version: 1806.01528v1 · doi: 10.48550/arxiv.1806.01528 · pith_short_12: O775YJRIFV3V · pith_short_16: O775YJRIFV3V5F4G · pith_short_8: O775YJRI

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/O775YJRIFV3V5F4GTXOMEA66D2 \
  | 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: 77ffdc26282d775e97869ddcc203de1eb96dc087e905bdc61c9acdd8dcf48389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b1f1c753e7e873fdd496e939d28473b65053c18fe8ffd16491d717a98b4a2ef",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-06-05T07:37:59Z",
    "title_canon_sha256": "fdf8c51d31e8fcf99bb3c7306ad017ca9ee3805a06b6724a8d6c1b0d0f683494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01528",
    "kind": "arxiv",
    "version": 1
  }
}