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Pith Number

pith:57AUUJAE

pith:2025:57AUUJAEAMMXTZ7IWUHVM3XSAL
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Training Deep Learning Models with Norm-Constrained LMOs

Antonio Silveti-Falls, Kimon Antonakopoulos, Thomas Pethick, Volkan Cevher, Wanyun Xie, Zhenyu Zhu

arxiv:2502.07529 v2 · 2025-02-11 · cs.LG · math.OC

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Add to your LaTeX paper 
\usepackage{pith}
\pithnumber{57AUUJAEAMMXTZ7IWUHVM3XSAL}

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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

20 papers in Pith

Preconditioned Norms: A Unified Framework for Steepest Descent, Quasi-Newton and Adaptive Methods
HORST: Composing Optimizer Geometries for Sparse Transformer Training
Distance-Aware Muon: Adaptive Step Scaling for Normalized Optimization
MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models
On the Convergence Analysis of Muon
Receipt and verification
First computed 2026-05-21T21:14:43.494748Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

efc14a2404031979e7e8b50f566ef202eeeb6dcbb1c7db9b7105fdbd73334c2e

Aliases

arxiv: 2502.07529 · arxiv_version: 2502.07529v2 · doi: 10.48550/arxiv.2502.07529 · pith_short_12: 57AUUJAEAMMX · pith_short_16: 57AUUJAEAMMXTZ7I · pith_short_8: 57AUUJAE
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/57AUUJAEAMMXTZ7IWUHVM3XSAL \
  | 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: efc14a2404031979e7e8b50f566ef202eeeb6dcbb1c7db9b7105fdbd73334c2e
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "fc403908c7efc199015d6bd89b7d5fe565d4c174eac1238491602e3a7bbe35dd",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-11T13:10:34Z",
    "title_canon_sha256": "9e53f7a72f384884a4531cd4b63c7246a2a95065ea0c7e0972312afaffd25816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07529",
    "kind": "arxiv",
    "version": 2
  }
}