Pith Number

pith:S3T6VTRX

pith:2020:S3T6VTRXG6YRUBQHF2GC5B6RHM

not attested not anchored not stored refs pending

Batch Normalization Provably Avoids Rank Collapse for Randomly Initialised Deep Networks

Aurelien Lucchi, Francis Bach, Hadi Daneshmand, Jonas Kohler, Thomas Hofmann

arxiv:2003.01652 v3 · 2020-03-03 · 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{S3T6VTRXG6YRUBQHF2GC5B6RHM}

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	2026-07-05T01:09:41.566851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96e7eace3737b11a06072e8c2e87d13b0b7aae4c514ecaebc8d508396d5bf82a

Aliases

arxiv: 2003.01652 · arxiv_version: 2003.01652v3 · doi: 10.48550/arxiv.2003.01652 · pith_short_12: S3T6VTRXG6YR · pith_short_16: S3T6VTRXG6YRUBQH · pith_short_8: S3T6VTRX

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/S3T6VTRXG6YRUBQHF2GC5B6RHM \
  | 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: 96e7eace3737b11a06072e8c2e87d13b0b7aae4c514ecaebc8d508396d5bf82a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7c538177cc87d3d9840293f47501fb603b1839953195b8eafee6f261713e81d",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-03-03T17:21:07Z",
    "title_canon_sha256": "b2910f178794333181eca008341b886e7309feeb292a419e879e8dfa271d79f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.01652",
    "kind": "arxiv",
    "version": 3
  }
}