Pith Number

pith:SXGSLESC

pith:2024:SXGSLESC5KQKPCSJG4TLPQRIW6

not attested not anchored not stored refs pending

Scalable Optimization in the Modular Norm

Hyojin Bahng, Jeremy Bernstein, Minyoung Huh, Phillip Isola, Tim Large, Yang Liu

arxiv:2405.14813 v1 · 2024-05-23 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SXGSLESC5KQKPCSJG4TLPQRIW6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

4 papers in Pith

LoRA-Muon: Spectral Steepest Descent on the Low-Rank Manifold

Training Deep Learning Models with Norm-Constrained LMOs

Implicit Bias of Mirror Flow in Homogeneous Neural Networks: Sparse and Dense Feature Learning

Old Optimizer, New Norm: An Anthology

Receipt and verification

First computed	2026-07-05T08:22:28.271431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95cd259242eaa0a78a493726b7c228b781927bebe7de9ac0fdba05d2a113c08a

Aliases

arxiv: 2405.14813 · arxiv_version: 2405.14813v1 · doi: 10.48550/arxiv.2405.14813 · pith_short_12: SXGSLESC5KQK · pith_short_16: SXGSLESC5KQKPCSJ · pith_short_8: SXGSLESC

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/SXGSLESC5KQKPCSJG4TLPQRIW6 \
  | 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: 95cd259242eaa0a78a493726b7c228b781927bebe7de9ac0fdba05d2a113c08a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6106a8289206b6061b7835a0d2ba0824a681e57337386c8c631043c8cfdc6fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-05-23T17:23:30Z",
    "title_canon_sha256": "243d4a60d68dfb2088fa7cb95fd1f0c6e47a6c5b43aa6ce083c44e323181832f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.14813",
    "kind": "arxiv",
    "version": 1
  }
}