Pith Number

pith:CQXY5XWR

pith:2024:CQXY5XWRXK2ECKXCCMBI5DHZXC

not attested not anchored not stored refs pending

Stochastic Polyak Step-sizes and Momentum: Convergence Guarantees and Practical Performance

Dimitris Oikonomou, Nicolas Loizou

arxiv:2406.04142 v2 · 2024-06-06 · math.OC · cs.LG · 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{CQXY5XWRXK2ECKXCCMBI5DHZXC}

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

3 papers in Pith

Adaptive Memory Momentum via a Model-Based Framework for Deep Learning Optimization

Taking the Road Less Scheduled with Adaptive Polyak Steps

Fix the Loss, Not the Radius: Rethinking the Adversarial Perturbation of Sharpness-Aware Minimization

Receipt and verification

First computed	2026-07-05T10:23:19.862789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

142f8eded1bab4412ae213028e8cf9b8a1eec490689e0e25dcef86eab94f983d

Aliases

arxiv: 2406.04142 · arxiv_version: 2406.04142v2 · doi: 10.48550/arxiv.2406.04142 · pith_short_12: CQXY5XWRXK2E · pith_short_16: CQXY5XWRXK2ECKXC · pith_short_8: CQXY5XWR

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/CQXY5XWRXK2ECKXCCMBI5DHZXC \
  | 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: 142f8eded1bab4412ae213028e8cf9b8a1eec490689e0e25dcef86eab94f983d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41e34b34b26bfe87783f95ca2a5fdec91662252acc233de23c859a116c462701",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-06-06T15:08:06Z",
    "title_canon_sha256": "f1c6a2832cebc68157f16d267e26122ca785e0eafafd7e0b6a090e815452c177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.04142",
    "kind": "arxiv",
    "version": 2
  }
}