Pith Number

pith:4YKODAOJ

pith:2020:4YKODAOJD4S5HGIVVTDZ5SYXSQ

not attested not anchored not stored refs pending

Statistical theory for image classification using deep convolutional neural networks with cross-entropy loss under the hierarchical max-pooling model

Michael Kohler, Sophie Langer

arxiv:2011.13602 v2 · 2020-11-27 · math.ST · stat.TH

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\usepackage{pith}
\pithnumber{4YKODAOJD4S5HGIVVTDZ5SYXSQ}

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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

Two-Dimensional Deep ReLU CNN Approximation for Korobov Functions: A Constructive Approach

Receipt and verification

First computed	2026-07-05T08:13:06.203778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e614e181c91f25d39915acc79ecb179421655248c36d5eb0028fb8800b3016b1

Aliases

arxiv: 2011.13602 · arxiv_version: 2011.13602v2 · doi: 10.48550/arxiv.2011.13602 · pith_short_12: 4YKODAOJD4S5 · pith_short_16: 4YKODAOJD4S5HGIV · pith_short_8: 4YKODAOJ

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/4YKODAOJD4S5HGIVVTDZ5SYXSQ \
  | 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: e614e181c91f25d39915acc79ecb179421655248c36d5eb0028fb8800b3016b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a49e5933b21dd6d46ceae084e67f8765fda8176eb8d27b138ab4d9ea2fa2aa4e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-11-27T08:33:51Z",
    "title_canon_sha256": "607426d7db431431a9a9c494d6d68a008c8337b3c16fd47e97c0316d62a69c7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.13602",
    "kind": "arxiv",
    "version": 2
  }
}