Pith Number

pith:6BBS66UD

pith:2024:6BBS66UD3DZI5CF4WA65NVZWE4

not attested not anchored not stored refs pending

Fixed width treelike neural networks capacity analysis -- generic activations

Mihailo Stojnic

arxiv:2402.05696 v1 · 2024-02-08 · stat.ML · cond-mat.dis-nn · cs.IT · cs.LG · math.IT · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6BBS66UD3DZI5CF4WA65NVZWE4}

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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

Deep ReLU networks -- injectivity capacity upper bounds

Receipt and verification

First computed	2026-07-05T07:42:54.510694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0432f7a83d8f28e88bcb03dd6d7362734c46e92d7d6586b40d722a272b84b32

Aliases

arxiv: 2402.05696 · arxiv_version: 2402.05696v1 · doi: 10.48550/arxiv.2402.05696 · pith_short_12: 6BBS66UD3DZI · pith_short_16: 6BBS66UD3DZI5CF4 · pith_short_8: 6BBS66UD

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/6BBS66UD3DZI5CF4WA65NVZWE4 \
  | 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: f0432f7a83d8f28e88bcb03dd6d7362734c46e92d7d6586b40d722a272b84b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "240cc70a2c13ac0c74bcf9308ad3584bd581bbdbeaa68ef3b58437fae81e16de",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.IT",
      "cs.LG",
      "math.IT",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-02-08T14:19:29Z",
    "title_canon_sha256": "96aaee6096eeb7eb3b27a3a132427c5709425c64076e1f1f97e324abe6b4b8ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.05696",
    "kind": "arxiv",
    "version": 1
  }
}