Pith Number

pith:LT532344

pith:2024:LT532344LSKP4UGZLYEMQ73OMW

not attested not anchored not stored refs pending

On the optimal approximation of Sobolev and Besov functions using deep ReLU neural networks

Yunfei Yang

arxiv:2409.00901 v3 · 2024-09-02 · stat.ML · cs.LG · cs.NA · math.NA

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\usepackage{pith}
\pithnumber{LT532344LSKP4UGZLYEMQ73OMW}

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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

Higher Order Approximation Rates for ReLU CNNs in Korobov Spaces

Receipt and verification

First computed	2026-07-05T11:39:04.070172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cfbbd6f9c5c94fe50d95e08c87f6e65b37487424d3eb6edbd2d5b7256142570

Aliases

arxiv: 2409.00901 · arxiv_version: 2409.00901v3 · doi: 10.48550/arxiv.2409.00901 · pith_short_12: LT532344LSKP · pith_short_16: LT532344LSKP4UGZ · pith_short_8: LT532344

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/LT532344LSKP4UGZLYEMQ73OMW \
  | 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: 5cfbbd6f9c5c94fe50d95e08c87f6e65b37487424d3eb6edbd2d5b7256142570

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "621062c637cfc69c96965ad988bf81a3eda18db97bacbd428b3fd2e460352853",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-09-02T02:26:01Z",
    "title_canon_sha256": "0605a176d0126d2999878e975d2c24c597269cb7d35a1d566780c49a2a6b9d8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.00901",
    "kind": "arxiv",
    "version": 3
  }
}