Pith Number

pith:AXLJAR7O

pith:2024:AXLJAR7OEMHBQHN7NSKW4A3NNG

not attested not anchored not stored refs pending

On the Convergence of Adam under Non-uniform Smoothness: Separability from SGDM and Beyond

Bohan Wang, Huishuai Zhang, Qi Meng, Ruoyu Sun, Wei Chen, Zhi-Ming Ma

arxiv:2403.15146 v1 · 2024-03-22 · cs.LG · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXLJAR7OEMHBQHN7NSKW4A3NNG}

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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

3 papers in Pith

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

Convergence of difference inclusions via a diameter criterion

Receipt and verification

First computed	2026-07-05T07:59:30.945433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d69047ee230e181dbf6c956e036d69893c9ea1c73ee6f69f9d21b2ebff9e32

Aliases

arxiv: 2403.15146 · arxiv_version: 2403.15146v1 · doi: 10.48550/arxiv.2403.15146 · pith_short_12: AXLJAR7OEMHB · pith_short_16: AXLJAR7OEMHBQHN7 · pith_short_8: AXLJAR7O

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/AXLJAR7OEMHBQHN7NSKW4A3NNG \
  | 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: 05d69047ee230e181dbf6c956e036d69893c9ea1c73ee6f69f9d21b2ebff9e32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f02197f0f3d48808a91b37daadc39bdfe7cd163806cb8c052f5f183dddbe883b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-03-22T11:57:51Z",
    "title_canon_sha256": "bfae599b7529bcd8700aeaa8e08836c8ef2ad193246a57c9536c191b30946563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.15146",
    "kind": "arxiv",
    "version": 1
  }
}