Pith Number

pith:JCA43TMI

pith:2022:JCA43TMIOMFGJQ5BAZFXK6E46L

not attested not anchored not stored refs pending

Deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear partial differential equations

Martin Hutzenthaler, Petru A. Cioica-Licht, P. Tobias Werner

arxiv:2205.14398 v1 · 2022-05-28 · math.NA · cs.NA · math.AP

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\usepackage{pith}
\pithnumber{JCA43TMIOMFGJQ5BAZFXK6E46L}

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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 with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for Kolmogorov partial differential equations with Lipschitz nonlinearities in the $L^

Receipt and verification

First computed	2026-07-05T04:27:17.093214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4881cdcd88730a64c3a1064b75789cf2d5c6a8b6e05074afa899b345b1340fb0

Aliases

arxiv: 2205.14398 · arxiv_version: 2205.14398v1 · doi: 10.48550/arxiv.2205.14398 · pith_short_12: JCA43TMIOMFG · pith_short_16: JCA43TMIOMFGJQ5B · pith_short_8: JCA43TMI

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/JCA43TMIOMFGJQ5BAZFXK6E46L \
  | 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: 4881cdcd88730a64c3a1064b75789cf2d5c6a8b6e05074afa899b345b1340fb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1236db3f5bb5bc64403b7f80441c48c081d649b09d31ec4a12663784180b9447",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-05-28T11:03:35Z",
    "title_canon_sha256": "acd5429976ba0d88458e09a8b0afc870770f683a3155e93774331b779a9c3064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.14398",
    "kind": "arxiv",
    "version": 1
  }
}