Pith Number

pith:5I65HYWT

pith:2019:5I65HYWTU24XBLHIMMVRN7ZKGE

not attested not anchored not stored refs pending

Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

Wei Cai, Zhi-Qin John Xu

arxiv:1910.11710 v1 · 2019-10-25 · cs.LG · cs.NA · math.NA · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5I65HYWTU24XBLHIMMVRN7ZKGE}

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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

4 papers in Pith

Frequency-adaptive tensor neural networks for high-dimensional multi-scale problems

A Practitioner's Guide to Kolmogorov-Arnold Networks

ATHENA: Agentic Team for Hierarchical Evolutionary Numerical Algorithms

Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches

Receipt and verification

First computed	2026-07-05T00:14:56.258074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea3dd3e2d3a6b970ace8632b16ff2a311507f9a6eed2544c5afc353d92755c69

Aliases

arxiv: 1910.11710 · arxiv_version: 1910.11710v1 · doi: 10.48550/arxiv.1910.11710 · pith_short_12: 5I65HYWTU24X · pith_short_16: 5I65HYWTU24XBLHI · pith_short_8: 5I65HYWT

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/5I65HYWTU24XBLHIMMVRN7ZKGE \
  | 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: ea3dd3e2d3a6b970ace8632b16ff2a311507f9a6eed2544c5afc353d92755c69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95eee3a90b1cabe236f74b9e05f7152cfeabf7106b58a8971f277c69357ce518",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-10-25T13:26:39Z",
    "title_canon_sha256": "1f215924baeea6be9909d32fa0326010a3ac6d826c0be76e438dffe79990f962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.11710",
    "kind": "arxiv",
    "version": 1
  }
}