Pith Number

pith:4YIVIUCK

pith:2021:4YIVIUCKTM3Z6GNKP4YSRELALP

not attested not anchored not stored refs pending

A Novel Convergence Analysis for Algorithms of the Adam Family

Rong Jin, Tianbao Yang, Wotao Yin, Yi Xu, Zhishuai Guo

arxiv:2112.03459 v1 · 2021-12-07 · cs.LG · math.OC

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YIVIUCKTM3Z6GNKP4YSRELALP}

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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

MGUP: A Momentum-Gradient Alignment Update Policy for Stochastic Optimization

Why Muon Outperforms Adam: A Curvature Perspective

Optimization Hyper-parameter Laws for Large Language Models

Why Adam Can Beat SGD: Second-Moment Normalization Yields Sharper Tails

On the Convergence of Muon and Beyond

Receipt and verification

First computed	2026-07-05T03:38:45.798957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61154504a9b379f19aa7f312891605be2e2db69bc418175a850a2e6eb9bbe32

Aliases

arxiv: 2112.03459 · arxiv_version: 2112.03459v1 · doi: 10.48550/arxiv.2112.03459 · pith_short_12: 4YIVIUCKTM3Z · pith_short_16: 4YIVIUCKTM3Z6GNK · pith_short_8: 4YIVIUCK

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/4YIVIUCKTM3Z6GNKP4YSRELALP \
  | 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: e61154504a9b379f19aa7f312891605be2e2db69bc418175a850a2e6eb9bbe32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb725846596026b601fdeaadd813640c087dbeab0c4978b06030d0a4dc8170e8",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-12-07T02:47:58Z",
    "title_canon_sha256": "93309bcd145270c5c6edb7ce0146434e8a22d61aca0393e372a5f5b61023af5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.03459",
    "kind": "arxiv",
    "version": 1
  }
}