Pith Number

pith:LCTR252X

pith:2023:LCTR252XYXSPX7QEYLUN4KDIFC

not attested not anchored not stored refs pending

Convergence of Adam for Non-convex Objectives: Relaxed Hyperparameters and Non-ergodic Case

Dongpo Xu, Jinlan Liu, Meixuan He, Yuqing Liang

arxiv:2307.11782 v1 · 2023-07-20 · math.OC · cs.LG · cs.NA · math.NA

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\usepackage{pith}
\pithnumber{LCTR252XYXSPX7QEYLUN4KDIFC}

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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

OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality

On the Convergence of Muon and Beyond

Receipt and verification

First computed	2026-07-05T10:12:13.048473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a71d7757c5e4fbfe04c2e8de2868288d621269fa3ad22d11f034f1d1bae284

Aliases

arxiv: 2307.11782 · arxiv_version: 2307.11782v1 · doi: 10.48550/arxiv.2307.11782 · pith_short_12: LCTR252XYXSP · pith_short_16: LCTR252XYXSPX7QE · pith_short_8: LCTR252X

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/LCTR252XYXSPX7QEYLUN4KDIFC \
  | 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: 58a71d7757c5e4fbfe04c2e8de2868288d621269fa3ad22d11f034f1d1bae284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bc2d1f91fc31f8ae8a127d9b5f6b448dc6cb19a5bff520ddddc585bbbb316eb",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-07-20T12:02:17Z",
    "title_canon_sha256": "11705b7b9bc221cadcdcfccf68dae67b0c2032f6cc6046ea186e383bd95b8416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.11782",
    "kind": "arxiv",
    "version": 1
  }
}