Pith Number

pith:ZZCKXIX6

pith:2022:ZZCKXIX62JVKF2ODB75KEGJVIS

not attested not anchored not stored refs pending

Width is Less Important than Depth in ReLU Neural Networks

Gal Vardi, Gilad Yehudai, Ohad Shamir

arxiv:2202.03841 v2 · 2022-02-08 · cs.LG · cs.NE · 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{ZZCKXIX62JVKF2ODB75KEGJVIS}

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	2026-07-05T04:28:09.984323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce44aba2fed26aa2e9c30ffaa219354483ef74d4b1c1a699146cd2d9bd73417d

Aliases

arxiv: 2202.03841 · arxiv_version: 2202.03841v2 · doi: 10.48550/arxiv.2202.03841 · pith_short_12: ZZCKXIX62JVK · pith_short_16: ZZCKXIX62JVKF2OD · pith_short_8: ZZCKXIX6

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/ZZCKXIX62JVKF2ODB75KEGJVIS \
  | 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: ce44aba2fed26aa2e9c30ffaa219354483ef74d4b1c1a699146cd2d9bd73417d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f7f897ec63d6fb8d1aea44dde42486f981bf7afcc40730150a036a2e9e07b02",
    "cross_cats_sorted": [
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-02-08T13:07:22Z",
    "title_canon_sha256": "2bd444659e2f846f51da41905bb57a7c0e666e676b3a61fda1571128c5e0dc50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.03841",
    "kind": "arxiv",
    "version": 2
  }
}