Pith Number

pith:5BLGC34X

pith:2023:5BLGC34XZPEOEQUY23CUZC4YCJ

not attested not anchored not stored refs pending

A Chain Rule for the Expected Suprema of Bernoulli Processes

Maxim Raginsky, Yifeng Chu

arxiv:2304.14474 v1 · 2023-04-27 · math.PR · cs.LG · 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{5BLGC34XZPEOEQUY23CUZC4YCJ}

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

On Generalization Bounds for Neural Networks with Low Rank Layers

Receipt and verification

First computed	2026-07-05T06:09:09.981788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e856616f97cbc8e24298d6c54c8b981241220b9192ea9d06be9832e1cd31bb46

Aliases

arxiv: 2304.14474 · arxiv_version: 2304.14474v1 · doi: 10.48550/arxiv.2304.14474 · pith_short_12: 5BLGC34XZPEO · pith_short_16: 5BLGC34XZPEOEQUY · pith_short_8: 5BLGC34X

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/5BLGC34XZPEOEQUY23CUZC4YCJ \
  | 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: e856616f97cbc8e24298d6c54c8b981241220b9192ea9d06be9832e1cd31bb46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ba8722d131fdce147266d7af52da4b20186be12d048697d53d3890cc0e948ef",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-04-27T19:26:02Z",
    "title_canon_sha256": "d8b86598f0e042c35186f3418b2124994e1202ca5b1f89cab06fc0f8b9ac8844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.14474",
    "kind": "arxiv",
    "version": 1
  }
}