Pith Number

pith:WGLVWZA4

pith:2024:WGLVWZA4UHTBEGZAWR4UC5ZESH

not attested not anchored not stored refs pending

Rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of gradient-dependent semilinear heat equations

Ariel Neufeld, Tuan Anh Nguyen

arxiv:2403.09200 v2 · 2024-03-14 · math.NA · cs.NA · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGLVWZA4UHTBEGZAWR4UC5ZESH}

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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 networks can provably solve Bellman equations for Markov decision processes without the curse of dimensionality

Receipt and verification

First computed	2026-07-05T09:09:57.233482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1975b641ca1e6121b20b47941772491cd930d1cf865b2f21325f9d9ac774059

Aliases

arxiv: 2403.09200 · arxiv_version: 2403.09200v2 · doi: 10.48550/arxiv.2403.09200 · pith_short_12: WGLVWZA4UHTB · pith_short_16: WGLVWZA4UHTBEGZA · pith_short_8: WGLVWZA4

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/WGLVWZA4UHTBEGZAWR4UC5ZESH \
  | 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: b1975b641ca1e6121b20b47941772491cd930d1cf865b2f21325f9d9ac774059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f54f0cb6c1a5731c55181cf7f740bf0946f077cb47e30cefbf9e3446d516cd",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-03-14T09:14:12Z",
    "title_canon_sha256": "d0fc822d00c9f9a4e46e88069fc9907e9d64c8626337da0f7e8d72eb28bfa756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.09200",
    "kind": "arxiv",
    "version": 2
  }
}