Pith Number

pith:5UOF64JW

pith:2025:5UOF64JW6B4CRDFUX2UVITX6IO

not attested not anchored not stored refs pending

On the Batch Size Selection in Stochastic Gradient Methods Using No-Replacement Sampling

Alberto De Santis, Marco Boresta, Stefano Lucidi

arxiv:2506.08758 v1 · 2025-06-10 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UOF64JW6B4CRDFUX2UVITX6IO}

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	2026-07-05T11:19:12.878130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1c5f7136f078288cb4bea9544efe43b8f389f975051098e5505b759455e29b

Aliases

arxiv: 2506.08758 · arxiv_version: 2506.08758v1 · doi: 10.48550/arxiv.2506.08758 · pith_short_12: 5UOF64JW6B4C · pith_short_16: 5UOF64JW6B4CRDFU · pith_short_8: 5UOF64JW

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/5UOF64JW6B4CRDFUX2UVITX6IO \
  | 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: ed1c5f7136f078288cb4bea9544efe43b8f389f975051098e5505b759455e29b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0719f33f9b40b07adc4a5c23fa2e7351ca9601ced93397d8f5069220b4542f61",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-10T12:55:25Z",
    "title_canon_sha256": "3a6e8252bf115a046e0af83a791f5501e39f4e76585d7f5a93b7146b420de608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08758",
    "kind": "arxiv",
    "version": 1
  }
}