Pith Number

pith:P7EXA4BE

pith:2024:P7EXA4BEAH6V2IB65HWIYUCO5F

not attested not anchored not stored refs pending

Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for space-time solutions of semilinear partial differential equations

Arnulf Jentzen, Benno Kuckuck, Joshua Lee Padgett, Julia Ackermann

arxiv:2406.10876 v1 · 2024-06-16 · cs.LG · cs.NA · math.NA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7EXA4BEAH6V2IB65HWIYUCO5F}

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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	2026-07-05T08:32:45.609408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc970702401fd5d203ee9ec8c504ee9775f3704a6252803343c4c9ad8bd39f8

Aliases

arxiv: 2406.10876 · arxiv_version: 2406.10876v1 · doi: 10.48550/arxiv.2406.10876 · pith_short_12: P7EXA4BEAH6V · pith_short_16: P7EXA4BEAH6V2IB6 · pith_short_8: P7EXA4BE

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/P7EXA4BEAH6V2IB65HWIYUCO5F \
  | 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: 7fc970702401fd5d203ee9ec8c504ee9775f3704a6252803343c4c9ad8bd39f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "058ffd1d8cd337891bf8a93805361a4d6e1b623dfc962802e709abc0635dd159",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-06-16T09:59:29Z",
    "title_canon_sha256": "e4f0efa35a85281f028c6b55c41f1d587f0261c13e750e877baed7f3ed6cafa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.10876",
    "kind": "arxiv",
    "version": 1
  }
}