Pith Number

pith:ECGJB44O

pith:2025:ECGJB44OEQNX5K4QAR4L3KZVKX

not attested not anchored not stored refs pending

Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs

F. Wang, S. Mishra, T. De Ryck, Y. Shang

arxiv:2501.12145 v1 · 2025-01-21 · math.NA · cs.NA

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\usepackage{pith}
\pithnumber{ECGJB44OEQNX5K4QAR4L3KZVKX}

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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

5 papers in Pith

Learning universal approximations for partial differential equations with Physics-Informed Broad Learning System

Random Neural Network Expressivity for Non-Linear Partial Differential Equations

Solving Inverse Parametrized Problems via Finite Elements and Extreme Learning Networks

Adaptive-Distribution Randomized Neural Networks for PDEs: A Low-Dimensional Distribution-Learning Framework

Adaptive Randomized Neural Networks with Locally Activation Function: Theory and Algorithm for Solving PDEs

Receipt and verification

First computed	2026-07-05T10:03:31.995313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

208c90f38e241b7eab900478bdab3555f17b27c5c041fe3db91641975ee01232

Aliases

arxiv: 2501.12145 · arxiv_version: 2501.12145v1 · doi: 10.48550/arxiv.2501.12145 · pith_short_12: ECGJB44OEQNX · pith_short_16: ECGJB44OEQNX5K4Q · pith_short_8: ECGJB44O

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/ECGJB44OEQNX5K4QAR4L3KZVKX \
  | 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: 208c90f38e241b7eab900478bdab3555f17b27c5c041fe3db91641975ee01232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cecb796103c507518d18cd95fad634fe5bc96964a160f551d9d7cc83d28eedf",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-01-21T13:58:33Z",
    "title_canon_sha256": "83cabdd7e1bebf091e19ed1c0d724d1435b086e91f96bc6e8796a9059e7457ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12145",
    "kind": "arxiv",
    "version": 1
  }
}