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Pith Number

pith:PDIB3KYY

pith:2025:PDIB3KYYHJEDXIUWFQKS4UWRCK
not attested not anchored not stored refs pending

Training Transformers with Enforced Lipschitz Constants

Andrii Zahorodnii, Franz Cesista, Jeremy Bernstein, Laker Newhouse, Phillip Isola, R. Preston Hess

arxiv:2507.13338 v1 · 2025-07-17 · cs.LG

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\usepackage{pith}
\pithnumber{PDIB3KYYHJEDXIUWFQKS4UWRCK}

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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

7 papers in Pith

Improving Neural Network Training by Decoupling the Magnitude and Direction of Weight Vectors
When Muon Optimizer Meets Adversarial Training: A Theoretical and Empirical Study
Can Entry-Wise Clipping Give Spectral Control of Stochastic Gradients?
Understanding Rate-Distortion Performance in Distributed Transformer Inference
The Geometric Alignment Tax: Tokenization vs. Continuous Geometry in Scientific Foundation Models
Receipt and verification
First computed 2026-07-05T11:38:59.454528Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

78d01dab183a483ba2962c152e52d112bb700e0626e56e52977eca568a21ee07

Aliases

arxiv: 2507.13338 · arxiv_version: 2507.13338v1 · doi: 10.48550/arxiv.2507.13338 · pith_short_12: PDIB3KYYHJED · pith_short_16: PDIB3KYYHJEDXIUW · pith_short_8: PDIB3KYY
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/PDIB3KYYHJEDXIUWFQKS4UWRCK \
  | 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: 78d01dab183a483ba2962c152e52d112bb700e0626e56e52977eca568a21ee07
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "b6d286005ef51248a4ffd76e64f44fb600fb4efaeb6ae0810e183f7e28707a56",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-17T17:55:00Z",
    "title_canon_sha256": "e990b6f436ca04b8b8b9053f00d527c3e9a4834ee71860c9d4ff4954d991258a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13338",
    "kind": "arxiv",
    "version": 1
  }
}