Pith Number

pith:BUR3YUYS

pith:2023:BUR3YUYSFH4AM4HZHTWOWYYARX

not attested not anchored not stored refs pending

Deep ReLU neural networks overcome the curse of dimensionality when approximating semilinear partial integro-differential equations

Ariel Neufeld, Sizhou Wu, Tuan Anh Nguyen

arxiv:2310.15581 v4 · 2023-10-24 · math.NA · cs.NA · math.AP · 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{BUR3YUYSFH4AM4HZHTWOWYYARX}

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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	2026-07-05T10:02:41.823824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d23bc531229f80670f93ceceb63008dd465bdf2df482234ba3585105b3c4973

Aliases

arxiv: 2310.15581 · arxiv_version: 2310.15581v4 · doi: 10.48550/arxiv.2310.15581 · pith_short_12: BUR3YUYSFH4A · pith_short_16: BUR3YUYSFH4AM4HZ · pith_short_8: BUR3YUYS

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/BUR3YUYSFH4AM4HZHTWOWYYARX \
  | 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: 0d23bc531229f80670f93ceceb63008dd465bdf2df482234ba3585105b3c4973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "781e453379b010f24ed06ae24f2a888094147cf8fca20f101ae9ce62cc47e657",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-10-24T07:46:38Z",
    "title_canon_sha256": "e705027fd02a1527822ac29de2aa7d0322602f26e37b41fd39ff55d50a6f8318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.15581",
    "kind": "arxiv",
    "version": 4
  }
}