Pith Number

pith:UX4RMLFS

pith:2013:UX4RMLFSTPJHXISD5TSXTBDXHX

not attested not anchored not stored refs pending

Minimizing Finite Sums with the Stochastic Average Gradient

Francis Bach (SIERRA, LIENS), Mark Schmidt (SIERRA, Nicolas Le Roux (SIERRA

arxiv:1309.2388 v2 · 2013-09-10 · math.OC · cs.LG · stat.CO · 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{UX4RMLFSTPJHXISD5TSXTBDXHX}

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	2026-05-18T01:15:07.194378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5f9162cb29bd27ba243ece57984773df9a62380ae953cc4821519b5b37bea33

Aliases

arxiv: 1309.2388 · arxiv_version: 1309.2388v2 · doi: 10.48550/arxiv.1309.2388 · pith_short_12: UX4RMLFSTPJH · pith_short_16: UX4RMLFSTPJHXISD · pith_short_8: UX4RMLFS

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/UX4RMLFSTPJHXISD5TSXTBDXHX \
  | 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: a5f9162cb29bd27ba243ece57984773df9a62380ae953cc4821519b5b37bea33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af2539389f7d7c3826764a05b675d65ec9f9c193db9a7eeffed4e8d5304ae10",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.CO",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-09-10T06:49:15Z",
    "title_canon_sha256": "49285af2de9f7c8b83fa5c5b3a67f7f021151de3c5316dab975f64f2325f2557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2388",
    "kind": "arxiv",
    "version": 2
  }
}