Pith Number

pith:GOP36NZV

pith:2015:GOP36NZVP24XSE2EHQWA6G6YTF

not attested not anchored not stored refs pending

The Power of Depth for Feedforward Neural Networks

Ohad Shamir, Ronen Eldan

arxiv:1512.03965 v4 · 2015-12-12 · 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{GOP36NZVP24XSE2EHQWA6G6YTF}

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.

Cited by

1 paper in Pith

A Measure-Theoretic Analysis of Reasoning: Structural Generalization and Approximation Limits

Receipt and verification

First computed	2026-05-18T01:15:22.911930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

339fbf37357eb97913443c2c0f1bd8996c60007835fcfd81f65d6c9b99a13093

Aliases

arxiv: 1512.03965 · arxiv_version: 1512.03965v4 · doi: 10.48550/arxiv.1512.03965 · pith_short_12: GOP36NZVP24X · pith_short_16: GOP36NZVP24XSE2E · pith_short_8: GOP36NZV

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/GOP36NZVP24XSE2EHQWA6G6YTF \
  | 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: 339fbf37357eb97913443c2c0f1bd8996c60007835fcfd81f65d6c9b99a13093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bb66523320b7bd61dbed6afec6ab5cfa0ff51f07124efa903f692c39bb008f9",
    "cross_cats_sorted": [
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-12-12T21:41:24Z",
    "title_canon_sha256": "ddc8dce32c595f6755fd8407234c369fd0450f90971f2c6b3a25ab1b6c45c45a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03965",
    "kind": "arxiv",
    "version": 4
  }
}