Pith Number

pith:Y4BYBPI4

pith:2018:Y4BYBPI4RDBQRTQUMPWHHRUKXL

not attested not anchored not stored refs pending

Exponential convergence rates for Batch Normalization: The power of length-direction decoupling in non-convex optimization

Aurelien Lucchi, Hadi Daneshmand, Jonas Kohler, Klaus Neymeyr, Ming Zhou, Thomas Hofmann

arxiv:1805.10694 v3 · 2018-05-27 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4BYBPI4RDBQRTQUMPWHHRUKXL}

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	2026-05-18T00:03:55.885628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70380bd1c88c308ce1463ec73c68abae3af8054e77f3b2f22f7f10e44b98ffa

Aliases

arxiv: 1805.10694 · arxiv_version: 1805.10694v3 · doi: 10.48550/arxiv.1805.10694 · pith_short_12: Y4BYBPI4RDBQ · pith_short_16: Y4BYBPI4RDBQRTQU · pith_short_8: Y4BYBPI4

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/Y4BYBPI4RDBQRTQUMPWHHRUKXL \
  | 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: c70380bd1c88c308ce1463ec73c68abae3af8054e77f3b2f22f7f10e44b98ffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "058f70851239780a4ff7ca0147a1b65d83d01d21d7eb4926c020e2aa94ef8cd2",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2018-05-27T21:33:37Z",
    "title_canon_sha256": "327e8ffc56c2dc13434c77ac37bf77dfc312592cd52e23f40b9bf043d79f4aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10694",
    "kind": "arxiv",
    "version": 3
  }
}