Pith Number

pith:M4JSBLA7

pith:2021:M4JSBLA7ZOEDYZJHGHRHQR66MC

not attested not anchored not stored refs pending

Deep neural network approximation for high-dimensional parabolic Hamilton-Jacobi-Bellman equations

Lukas Herrmann, Philipp Grohs

arxiv:2103.05744 v1 · 2021-03-09 · math.NA · cs.LG · cs.NA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4JSBLA7ZOEDYZJHGHRHQR66MC}

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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	2026-07-05T02:21:57.749479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671320ac1fcb883c652731e27847de608b98d97c8cdaa0f6e5c3caae2ffc1485

Aliases

arxiv: 2103.05744 · arxiv_version: 2103.05744v1 · doi: 10.48550/arxiv.2103.05744 · pith_short_12: M4JSBLA7ZOED · pith_short_16: M4JSBLA7ZOEDYZJH · pith_short_8: M4JSBLA7

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/M4JSBLA7ZOEDYZJHGHRHQR66MC \
  | 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: 671320ac1fcb883c652731e27847de608b98d97c8cdaa0f6e5c3caae2ffc1485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23fafd25113e89bc44a7c508eb17ff686fd161458ee323296bada1c86b9e7220",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-03-09T22:34:13Z",
    "title_canon_sha256": "eedfc4ea3bd0ef3930ba095c9e5e7cec63aec0ce7464f80afca1e0d1add3d754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.05744",
    "kind": "arxiv",
    "version": 1
  }
}