Pith Number

pith:J5CGH64C

pith:2022:J5CGH64CFFNZA2INL5QGGLPCVY

not attested not anchored not stored refs pending

Multilevel Picard approximation algorithm for semilinear partial integro-differential equations and its complexity analysis

Ariel Neufeld, Sizhou Wu

arxiv:2205.09639 v5 · 2022-05-19 · math.NA · cs.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{J5CGH64CFFNZA2INL5QGGLPCVY}

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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	2026-07-05T10:29:11.144612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f4463fb82295b90690d5f60632de2ae1aa9b8cf4839b233adbe2adb0c7ec331

Aliases

arxiv: 2205.09639 · arxiv_version: 2205.09639v5 · doi: 10.48550/arxiv.2205.09639 · pith_short_12: J5CGH64CFFNZ · pith_short_16: J5CGH64CFFNZA2IN · pith_short_8: J5CGH64C

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/J5CGH64CFFNZA2INL5QGGLPCVY \
  | 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: 4f4463fb82295b90690d5f60632de2ae1aa9b8cf4839b233adbe2adb0c7ec331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e26186ce36557af7da3ff6349bacdc6ffadb6741254be14b39c3c4fd1552000",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-05-19T16:00:34Z",
    "title_canon_sha256": "50ff23431a37be21c8b2f0d2790b53fe2db402ad74f811deded070103728631e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.09639",
    "kind": "arxiv",
    "version": 5
  }
}