Pith Number

pith:PTDUK64Z

pith:2019:PTDUK64ZROW7SJLSRNVFCITIBF

not attested not anchored not stored refs pending

How Implicit Regularization of ReLU Neural Networks Characterizes the Learned Function -- Part I: the 1-D Case of Two Layers with Random First Layer

Hanna Wutte, Jakob Heiss, Josef Teichmann

arxiv:1911.02903 v4 · 2019-11-07 · cs.LG · cs.NA · math.NA · stat.ML

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\usepackage{pith}
\pithnumber{PTDUK64ZROW7SJLSRNVFCITIBF}

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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

Universal approximation property of Banach space-valued random feature models including random neural networks

Receipt and verification

First computed	2026-07-05T06:57:03.669150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc7457b998badf925728b6a512268097b4da86ab0e9b0271c9afdc9361e4ac6

Aliases

arxiv: 1911.02903 · arxiv_version: 1911.02903v4 · doi: 10.48550/arxiv.1911.02903 · pith_short_12: PTDUK64ZROW7 · pith_short_16: PTDUK64ZROW7SJLS · pith_short_8: PTDUK64Z

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/PTDUK64ZROW7SJLSRNVFCITIBF \
  | 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: 7cc7457b998badf925728b6a512268097b4da86ab0e9b0271c9afdc9361e4ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7266c2cdac1d362212da27fe37e628324c5ee4d4c35f772f8a3fc36c2d09c271",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-11-07T13:48:15Z",
    "title_canon_sha256": "664f17700c9f2c9cbb1b57443db2271b0441737e5f90fd1b4debd21e12f571a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.02903",
    "kind": "arxiv",
    "version": 4
  }
}