Pith Number

pith:EUCLAXZZ

pith:2011:EUCLAXZZEVPD2ZOXTXTZEWSU3O

not attested not anchored not stored refs pending

Making Gradient Descent Optimal for Strongly Convex Stochastic Optimization

Alexander Rakhlin, Karthik Sridharan, Ohad Shamir

arxiv:1109.5647 v7 · 2011-09-26 · cs.LG · math.OC

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\usepackage{pith}
\pithnumber{EUCLAXZZEVPD2ZOXTXTZEWSU3O}

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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

9 papers in Pith

SGD at the Edge of Stability: Stochastic Stabilization with Large Learning Rates

Large-scale Uncertainty Quantification for Latent Variable Models Using Subsampling Markov Chain Monte Carlo

Concentration of General Stochastic Approximation Under Heavy-Tailed Markovian Noise

Communication-Efficient Approximate Gradient Coding for Distributed Learning in Heterogeneous Systems

Gaussian Approximation and Multiplier Bootstrap for Federated Linear Stochastic Approximation

Receipt and verification

First computed	2026-05-18T02:21:36.275694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2504b05f39255e3d65d79de7925a54db824c0c11e6713b6fe3947727433cc440

Aliases

arxiv: 1109.5647 · arxiv_version: 1109.5647v7 · doi: 10.48550/arxiv.1109.5647 · pith_short_12: EUCLAXZZEVPD · pith_short_16: EUCLAXZZEVPD2ZOX · pith_short_8: EUCLAXZZ

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/EUCLAXZZEVPD2ZOXTXTZEWSU3O \
  | 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: 2504b05f39255e3d65d79de7925a54db824c0c11e6713b6fe3947727433cc440

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1fcdae3c0e8b462cd6b6617ee43fa51a61368974d83566bcb1dbed370b1ad5",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2011-09-26T17:24:52Z",
    "title_canon_sha256": "73a5ce74e74f277d829c897b57129f3d1aefa9e044467d4f9a249570d3b6aa64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5647",
    "kind": "arxiv",
    "version": 7
  }
}