Pith Number

pith:75QT7FKQ

pith:2023:75QT7FKQ7AQ3B4OC7XE2ZOSQ35

not attested not anchored not stored refs pending

Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks

Jonathan W. Siegel

arxiv:2307.15285 v3 · 2023-07-28 · stat.ML · cs.LG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75QT7FKQ7AQ3B4OC7XE2ZOSQ35}

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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

Sharp uniform approximation for spectral Barron functions by deep neural networks

Receipt and verification

First computed	2026-07-05T10:38:19.495456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff613f9550f821b0f1c2fdc9acba50df56fb9eb527ae57d0be1bc3865652a2ea

Aliases

arxiv: 2307.15285 · arxiv_version: 2307.15285v3 · doi: 10.48550/arxiv.2307.15285 · pith_short_12: 75QT7FKQ7AQ3 · pith_short_16: 75QT7FKQ7AQ3B4OC · pith_short_8: 75QT7FKQ

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/75QT7FKQ7AQ3B4OC7XE2ZOSQ35 \
  | 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: ff613f9550f821b0f1c2fdc9acba50df56fb9eb527ae57d0be1bc3865652a2ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c25e60f7ccbf7c5171886454979a0f5e8e9fba67b294af05aff799d68ff6077f",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-07-28T03:43:17Z",
    "title_canon_sha256": "872f7cc2fb7fa135f2ea27c901b6d5d4dadc43c16f95114dd727ce5103e2354c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.15285",
    "kind": "arxiv",
    "version": 3
  }
}