Pith Number

pith:LUT44Z4S

pith:2023:LUT44Z4SX722JKFLPB4AEG5MWW

not attested not anchored not stored refs pending

On the Optimal Expressive Power of ReLU DNNs and Its Application in Approximation with Kolmogorov Superposition Theorem

Juncai He

arxiv:2308.05509 v1 · 2023-08-10 · cs.LG · cs.NA · math.NA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUT44Z4SX722JKFLPB4AEG5MWW}

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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

KAN: Kolmogorov-Arnold Networks

Receipt and verification

First computed	2026-07-05T06:40:01.577737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d27ce6792bff5a4a8ab7878021bacb5b4129f117855c05255bad457bfb1555a

Aliases

arxiv: 2308.05509 · arxiv_version: 2308.05509v1 · doi: 10.48550/arxiv.2308.05509 · pith_short_12: LUT44Z4SX722 · pith_short_16: LUT44Z4SX722JKFL · pith_short_8: LUT44Z4S

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/LUT44Z4SX722JKFLPB4AEG5MWW \
  | 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: 5d27ce6792bff5a4a8ab7878021bacb5b4129f117855c05255bad457bfb1555a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56833c2c6f9cf42154aecd31f224dd22934d92a5aa2feb7cc8cceeb84514dcc4",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-08-10T11:42:09Z",
    "title_canon_sha256": "6823d870daa47f49235dd1b660a9a67da4d3c9f70c0e4a445c081475b419b097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.05509",
    "kind": "arxiv",
    "version": 1
  }
}