Pith Number

pith:ETV7IERE

pith:2022:ETV7IEREXWDZY5ZTB7Y55WDEUS

not attested not anchored not stored refs pending

Simultaneous approximation of a smooth function and its derivatives by deep neural networks with piecewise-polynomial activations

Alexey Naumov, Denis Belomestny, Nikita Puchkin, Sergey Samsonov

arxiv:2206.09527 v2 · 2022-06-20 · math.NA · cs.NA · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETV7IEREXWDZY5ZTB7Y55WDEUS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

Reconstructing Galactic Gravitational Potentials from Stellar Kinematics with Physics-Informed Neural Networks

Receipt and verification

First computed	2026-07-05T05:22:08.822577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24ebf41224bd879c77330ff1ded864a48cd62eaadebe6172d75978d527b333c1

Aliases

arxiv: 2206.09527 · arxiv_version: 2206.09527v2 · doi: 10.48550/arxiv.2206.09527 · pith_short_12: ETV7IEREXWDZ · pith_short_16: ETV7IEREXWDZY5ZT · pith_short_8: ETV7IERE

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/ETV7IEREXWDZY5ZTB7Y55WDEUS \
  | 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: 24ebf41224bd879c77330ff1ded864a48cd62eaadebe6172d75978d527b333c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c03816d49a76003adc39b2bca02ebdfe15084e6e491b0299b9e00f889be7057d",
    "cross_cats_sorted": [
      "cs.NA",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-06-20T01:18:29Z",
    "title_canon_sha256": "aa24d386b5348a415f8adada8a5bfbb81827ae25c364fd9cff6a9d98584b55fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.09527",
    "kind": "arxiv",
    "version": 2
  }
}