Pith Number

pith:IP74UOYX

pith:2025:IP74UOYX2FCCZ2SAZMA4QGDYH4

not attested not anchored not stored refs pending

Approximation Rates in Besov Norms and Sample-Complexity of Kolmogorov-Arnold Networks with Residual Connections

Anastasis Kratsios, Bum Jun Kim, Takashi Furuya

arxiv:2504.15110 v3 · 2025-04-21 · cs.LG · cs.NA · cs.NE · math.FA · math.NA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IP74UOYX2FCCZ2SAZMA4QGDYH4}

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

6 papers in Pith

Necessary and sufficient conditions for universality of Kolmogorov-Arnold networks

KAPLAN: Kolmogorov-Arnold Prognostic Learnable Activation Networks for Survival Analysis

Necessary and sufficient conditions for universality of Kolmogorov-Arnold networks

A Practitioner's Guide to Kolmogorov-Arnold Networks

Receipt and verification

First computed	2026-07-05T11:49:33.181143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43ffca3b17d1442cea40cb01c818783f026f99a0ec64bf18d8c225c144cb0ef2

Aliases

arxiv: 2504.15110 · arxiv_version: 2504.15110v3 · doi: 10.48550/arxiv.2504.15110 · pith_short_12: IP74UOYX2FCC · pith_short_16: IP74UOYX2FCCZ2SA · pith_short_8: IP74UOYX

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/IP74UOYX2FCCZ2SAZMA4QGDYH4 \
  | 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: 43ffca3b17d1442cea40cb01c818783f026f99a0ec64bf18d8c225c144cb0ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13778f163aeaf6f9c81811bbc162a73e8f59b35dbddb09746bc7c4083f715cb9",
    "cross_cats_sorted": [
      "cs.NA",
      "cs.NE",
      "math.FA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-04-21T14:02:59Z",
    "title_canon_sha256": "8bdf9adb18f347059d05061c991b3fd0491bd072747f18acb9c6d3f31e9d6cde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.15110",
    "kind": "arxiv",
    "version": 3
  }
}