Pith Number

pith:3W73LM64

pith:2018:3W73LM64AYQQ46POITXWQ35ETA

not attested not anchored not stored refs pending

On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

Dongruo Zhou, Jinghui Chen, Quanquan Gu, Yuan Cao, Ziyan Yang

arxiv:1808.05671 v4 · 2018-08-16 · cs.LG · math.OC · stat.ML

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\usepackage{pith}
\pithnumber{3W73LM64AYQQ46POITXWQ35ETA}

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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

6 papers in Pith

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

Muon Learns More Robust and Transferable Features than Adam

Why Muon Outperforms Adam: A Curvature Perspective

Adaptive Federated Optimization

On the Convergence of Muon and Beyond

Receipt and verification

First computed	2026-07-05T08:34:46.094826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddbfb5b3dc06210e79ee44ef686fa49807946f1fd4745cddf7b14bb5fc9cfc65

Aliases

arxiv: 1808.05671 · arxiv_version: 1808.05671v4 · doi: 10.48550/arxiv.1808.05671 · pith_short_12: 3W73LM64AYQQ · pith_short_16: 3W73LM64AYQQ46PO · pith_short_8: 3W73LM64

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/3W73LM64AYQQ46POITXWQ35ETA \
  | 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: ddbfb5b3dc06210e79ee44ef686fa49807946f1fd4745cddf7b14bb5fc9cfc65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec41c1ecb42f150e461cd3c63218e16d64513016442ec0b90bd81903debe7114",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-08-16T20:25:28Z",
    "title_canon_sha256": "52a696e6bc19ce389dbf51ec5b820f88bd05b9591931e78e321affb8c1724708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05671",
    "kind": "arxiv",
    "version": 4
  }
}