Pith Number

pith:LRQ2ZUPQ

pith:2019:LRQ2ZUPQBWBAJEDLCXLSBNI7HX

not attested not anchored not stored refs pending

Complexity of Linear Regions in Deep Networks

Boris Hanin, David Rolnick

arxiv:1901.09021 v2 · 2019-01-25 · stat.ML · cs.LG · math.PR

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\usepackage{pith}
\pithnumber{LRQ2ZUPQBWBAJEDLCXLSBNI7HX}

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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

Phase Transitions in the Fluctuations of Functionals of Random Neural Networks

Receipt and verification

First computed	2026-05-17T23:43:37.213202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c61acd1f00d8204906b15d720b51f3de9d90316166ed7ca8357cd4972a64181

Aliases

arxiv: 1901.09021 · arxiv_version: 1901.09021v2 · doi: 10.48550/arxiv.1901.09021 · pith_short_12: LRQ2ZUPQBWBA · pith_short_16: LRQ2ZUPQBWBAJEDL · pith_short_8: LRQ2ZUPQ

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/LRQ2ZUPQBWBAJEDLCXLSBNI7HX \
  | 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: 5c61acd1f00d8204906b15d720b51f3de9d90316166ed7ca8357cd4972a64181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a72c366b53c860fc4b613a1d5a106bed585dc850fa76155590b1e2f6c8fb358",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-01-25T18:43:10Z",
    "title_canon_sha256": "5c5f75cc381f70c74900729b2eee83eae7ec6b4ad9f38c4c360b250be94c7a3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09021",
    "kind": "arxiv",
    "version": 2
  }
}