Pith Number

pith:QUFRB76B

pith:2019:QUFRB76BTSOTWJY4WXOXUZUIS4

not attested not anchored not stored refs pending

Unified Optimal Analysis of the (Stochastic) Gradient Method

Sebastian U. Stich

arxiv:1907.04232 v2 · 2019-07-09 · cs.LG · cs.NA · math.NA · math.OC · 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{QUFRB76BTSOTWJY4WXOXUZUIS4}

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

8 papers in Pith

Zero-order Parameter-free Optimization for LMO-based Methods: Novel Approach for Efficient Fine-tuning

Near-Optimal Pure Machine Unlearning for Smooth Strongly Convex Losses

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

Stochastic Gradient Variational Inference with Price's Gradient Estimator from Bures-Wasserstein to Parameter Space

Stochastic Optimization and Data Science

Receipt and verification

First computed	2026-07-05T00:27:58.091807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

850b10ffc19c9d3b271cb5dd7a6688970cf5fd46b1e5e0f4c750acdad2096d78

Aliases

arxiv: 1907.04232 · arxiv_version: 1907.04232v2 · doi: 10.48550/arxiv.1907.04232 · pith_short_12: QUFRB76BTSOT · pith_short_16: QUFRB76BTSOTWJY4 · pith_short_8: QUFRB76B

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/QUFRB76BTSOTWJY4WXOXUZUIS4 \
  | 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: 850b10ffc19c9d3b271cb5dd7a6688970cf5fd46b1e5e0f4c750acdad2096d78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0baa3ce648f927d8c7e0257e34dec2f7b63356f1b2327bf040aa654ed9b7cb6f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-07-09T15:14:25Z",
    "title_canon_sha256": "84d49f36be062b17134633e0ac4b37dc314c6b53c552727dc5f12d53a2fd23a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04232",
    "kind": "arxiv",
    "version": 2
  }
}