Pith Number

pith:CGLD6545

pith:2021:CGLD6545FNFLBPKFUU5WB3HC2J

not attested not anchored not stored refs pending

On the Optimal Memorization Power of ReLU Neural Networks

Gal Vardi, Gilad Yehudai, Ohad Shamir

arxiv:2110.03187 v1 · 2021-10-07 · 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{CGLD6545FNFLBPKFUU5WB3HC2J}

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	2026-07-05T03:20:40.274332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11963f779d2b4ab0bd45a53b60ece2d266951f537702fcfe1306770a23e1f1c7

Aliases

arxiv: 2110.03187 · arxiv_version: 2110.03187v1 · doi: 10.48550/arxiv.2110.03187 · pith_short_12: CGLD6545FNFL · pith_short_16: CGLD6545FNFLBPKF · pith_short_8: CGLD6545

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/CGLD6545FNFLBPKFUU5WB3HC2J \
  | 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: 11963f779d2b4ab0bd45a53b60ece2d266951f537702fcfe1306770a23e1f1c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f05350709b911ea012f644a66ab23bc3aa3ca23bdf951e10f0d7df95c402ab18",
    "cross_cats_sorted": [
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-10-07T05:25:23Z",
    "title_canon_sha256": "a8bd483e0340d213219c1cd25467741e5152226b8587084ba1272a3dae12695d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.03187",
    "kind": "arxiv",
    "version": 1
  }
}