Pith Number

pith:DM6646NC

pith:2018:DM6646NCCOX2VBF47PYLNULRAG

not attested not anchored not stored refs pending

Topological properties of the set of functions generated by neural networks of fixed size

Felix Voigtlaender, Mones Raslan, Philipp Petersen

arxiv:1806.08459 v3 · 2018-06-22 · math.GN · math.FA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DM6646NCCOX2VBF47PYLNULRAG}

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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

An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications

Receipt and verification

First computed	2026-07-05T00:35:18.094365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b3dee79a213afaa84bcfbf0b6d171019ba36346df26528a947df6446060754c

Aliases

arxiv: 1806.08459 · arxiv_version: 1806.08459v3 · doi: 10.48550/arxiv.1806.08459 · pith_short_12: DM6646NCCOX2 · pith_short_16: DM6646NCCOX2VBF4 · pith_short_8: DM6646NC

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/DM6646NCCOX2VBF47PYLNULRAG \
  | 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: 1b3dee79a213afaa84bcfbf0b6d171019ba36346df26528a947df6446060754c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a123194973cf940c993997c214243ecf0848182469b36034c35744b7dd1d64e8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-06-22T00:30:51Z",
    "title_canon_sha256": "25910798bc420ec248188a5eb617aa7f88783730ecf06a32fa5ad9c2ab2169ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08459",
    "kind": "arxiv",
    "version": 3
  }
}