Pith Number

pith:NTC4XJZL

pith:2015:NTC4XJZLVNIVPQLCRHBFXT45OH

not attested not anchored not stored refs pending

SGD with Variance Reduction beyond Empirical Risk Minimization

Agathe Guilloux (LSTA), Emmanuel Bacry (CMAP), Massil Achab (CMAP), St\'ephane Ga\"iffas (CMAP)

arxiv:1510.04822 v3 · 2015-10-16 · 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{NTC4XJZLVNIVPQLCRHBFXT45OH}

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	2026-05-18T00:59:58.996013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cc5cba72bab5157c16289c25bcf9d71c8278185e0c4305e5ad5f3c636193c86

Aliases

arxiv: 1510.04822 · arxiv_version: 1510.04822v3 · doi: 10.48550/arxiv.1510.04822 · pith_short_12: NTC4XJZLVNIV · pith_short_16: NTC4XJZLVNIVPQLC · pith_short_8: NTC4XJZL

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/NTC4XJZLVNIVPQLCRHBFXT45OH \
  | 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: 6cc5cba72bab5157c16289c25bcf9d71c8278185e0c4305e5ad5f3c636193c86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee54d31d3931740e617c37436e22a36d776391cacae15ffdf8ecbfa1d56ed3b7",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2015-10-16T09:32:24Z",
    "title_canon_sha256": "af3617596ed93a785a810bc18cddb60b7976e1e21a8bf0edbfaca79c70fe5792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04822",
    "kind": "arxiv",
    "version": 3
  }
}