Pith Number

pith:HZJAJ7Z4

pith:2026:HZJAJ7Z4ND3URT2PYCWBZMID7E

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Hardware-Oriented Inference Complexity of Kolmogorov-Arnold Networks

Bilal Khalid, Jaroslaw E. Prilepsky, Pedro Freire, Sergei K. Turitsyn

Kolmogorov-Arnold Networks now have platform-independent formulas that count real multiplications, bit operations, and additions for hardware inference.

arxiv:2604.03345 v2 · 2026-04-03 · cs.LG

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Claims

C1strongest claim

we derive generalized, platform-independent formulae for evaluating the hardware inference complexity of KANs in terms of Real Multiplications (RM), Bit Operations (BOP), and Number of Additions and Bit-Shifts (NABS). We extend our analysis across multiple KAN variants, including B-spline, Gaussian Radial Basis Function (GRBF), Chebyshev, and Fourier KANs.

C2weakest assumption

That RM, BOP, and NABS counts derived solely from network structure accurately predict real hardware resource use and latency without additional factors such as memory access patterns or routing overhead.

C3one line summary

Derives generalized formulas for KAN inference complexity using RM, BOP, and NABS metrics across B-spline, GRBF, Chebyshev, and Fourier variants.

Receipt and verification

First computed	2026-06-24T01:14:27.438699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e5204ff3c68f748cf4fc0ac1cb103f935d48843d7319d6e1239679c3a7c1787

Aliases

arxiv: 2604.03345 · arxiv_version: 2604.03345v2 · doi: 10.48550/arxiv.2604.03345 · pith_short_12: HZJAJ7Z4ND3U · pith_short_16: HZJAJ7Z4ND3URT2P · pith_short_8: HZJAJ7Z4

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HZJAJ7Z4ND3URT2PYCWBZMID7E \
  | 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: 3e5204ff3c68f748cf4fc0ac1cb103f935d48843d7319d6e1239679c3a7c1787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3c4a099237e00854e7b7d36eb2c380f5161c970f1ee7a3eded7f726df9a02bf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-04-03T10:18:05Z",
    "title_canon_sha256": "47f171a8d977cee1c119a1f4e207e8731b155e4159455568a79cbd0454422791"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.03345",
    "kind": "arxiv",
    "version": 2
  }
}