Pith Number

pith:K74SG234

pith:2019:K74SG2347LHCBV2W6GJSZLKF3P

not attested not anchored not stored refs pending

On the Expressive Power of Deep Polynomial Neural Networks

Joan Bruna, Joe Kileel, Matthew Trager

arxiv:1905.12207 v1 · 2019-05-29 · cs.LG · cs.NE · math.AG · 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{K74SG2347LHCBV2W6GJSZLKF3P}

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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

A Complete Symmetry Classification of Shallow ReLU Networks

Receipt and verification

First computed	2026-05-17T23:44:46.806924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f9236b7cface20d756f1932cad45dbc8c72cafbce513425089ee519188d31c

Aliases

arxiv: 1905.12207 · arxiv_version: 1905.12207v1 · doi: 10.48550/arxiv.1905.12207 · pith_short_12: K74SG2347LHC · pith_short_16: K74SG2347LHCBV2W · pith_short_8: K74SG234

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/K74SG2347LHCBV2W6GJSZLKF3P \
  | 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: 57f9236b7cface20d756f1932cad45dbc8c72cafbce513425089ee519188d31c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fc3576bea3ff4eed6c0ec5eb48fe366cd6f70c337b6a52fd64872f3041743e2",
    "cross_cats_sorted": [
      "cs.NE",
      "math.AG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-05-29T04:21:40Z",
    "title_canon_sha256": "59f68580903676474e6a923030dee7420e11f114de4fb66a7977b041202f9fc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12207",
    "kind": "arxiv",
    "version": 1
  }
}