Pith Number

pith:SXL6T2FX

pith:2022:SXL6T2FX4Q5IZPYC6TZSI5O62B

not attested not anchored not stored refs pending

On the Number of Regions of Piecewise Linear Neural Networks

Alexis Goujon, Arian Etemadi, Michael Unser

arxiv:2206.08615 v2 · 2022-06-17 · cs.LG · math.CO · math.ST · stat.ML · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SXL6T2FX4Q5IZPYC6TZSI5O62B}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-07-05T07:26:10.451787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95d7e9e8b7e43a8cbf02f4f32475ded0567deb04df7f1ce8cc98592aa86aab9b

Aliases

arxiv: 2206.08615 · arxiv_version: 2206.08615v2 · doi: 10.48550/arxiv.2206.08615 · pith_short_12: SXL6T2FX4Q5I · pith_short_16: SXL6T2FX4Q5IZPYC · pith_short_8: SXL6T2FX

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/SXL6T2FX4Q5IZPYC6TZSI5O62B \
  | 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: 95d7e9e8b7e43a8cbf02f4f32475ded0567deb04df7f1ce8cc98592aa86aab9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7d6611a7dc85eb0d7616080c16960315f83fc3d5a797c4f34f363d227f8e9a",
    "cross_cats_sorted": [
      "math.CO",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-06-17T08:17:28Z",
    "title_canon_sha256": "e1dcdc93a4f48bb2940b5b546b30fc2f96c9fd96d1ba6e74c78e1cc5aa13c216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.08615",
    "kind": "arxiv",
    "version": 2
  }
}