Pith Number

pith:24YGYHB3

pith:2021:24YGYHB3PSJ4PIZHOLY42T3IZM

not attested not anchored not stored refs pending

On the Convergence of Step Decay Step-Size for Stochastic Optimization

Mikael Johansson, Sindri Magn\'usson, Xiaoyu Wang

arxiv:2102.09393 v1 · 2021-02-18 · 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{24YGYHB3PSJ4PIZHOLY42T3IZM}

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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

1 paper in Pith

Coupling-based Convergence Diagnostic and Stepsize Scheme for Stochastic Gradient Descent

Receipt and verification

First computed	2026-07-05T02:16:22.597976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7306c1c3b7c93c7a32772f1cd4f68cb24268f3fdc41ce8bc372e013ca6244e3

Aliases

arxiv: 2102.09393 · arxiv_version: 2102.09393v1 · doi: 10.48550/arxiv.2102.09393 · pith_short_12: 24YGYHB3PSJ4 · pith_short_16: 24YGYHB3PSJ4PIZH · pith_short_8: 24YGYHB3

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/24YGYHB3PSJ4PIZHOLY42T3IZM \
  | 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: d7306c1c3b7c93c7a32772f1cd4f68cb24268f3fdc41ce8bc372e013ca6244e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f97b2ef6c7e2c2b0d85268e6cc76565608d9d015c73afbf9b7d8e9b938d88f",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-02-18T14:37:25Z",
    "title_canon_sha256": "fc3fb27ac74c142dc37e3b41c2174f75325e97f3f0ba64c76065b3e89cf0f049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09393",
    "kind": "arxiv",
    "version": 1
  }
}