Pith Number

pith:EBW5P4CT

pith:2025:EBW5P4CTAELJZX7L6N5W4W2CPX

not attested not anchored not stored refs pending

GaLore 2: Large-Scale LLM Pre-Training by Gradient Low-Rank Projection

Andrew Gu, DiJia Su, Jane Xu, Jiawei Zhao, Yuandong Tian

arxiv:2504.20437 v1 · 2025-04-29 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EBW5P4CTAELJZX7L6N5W4W2CPX}

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

5 papers in Pith

No Subspace to Track: Non-Identifiability and Optimizer State in Low-Rank Training

Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers

Beyond Perplexity: A Geometric and Spectral Study of Low-Rank Pre-Training

Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers

Gradient Clipping Beyond Vector Norms: A Spectral Approach for Matrix-Valued Parameters

Receipt and verification

First computed	2026-07-05T10:55:42.557589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

206dd7f05301169cdfebf37b6e5b427dcac57e9043506e96001a3d03cfcb916b

Aliases

arxiv: 2504.20437 · arxiv_version: 2504.20437v1 · doi: 10.48550/arxiv.2504.20437 · pith_short_12: EBW5P4CTAELJ · pith_short_16: EBW5P4CTAELJZX7L · pith_short_8: EBW5P4CT

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/EBW5P4CTAELJZX7L6N5W4W2CPX \
  | 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: 206dd7f05301169cdfebf37b6e5b427dcac57e9043506e96001a3d03cfcb916b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a6c3c18885328b4dd9de0da00e30425ec72d91f73567fe448887958fd89be7",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-04-29T05:27:02Z",
    "title_canon_sha256": "aec74889cb52faae8df599a5f9f1bc4a1f20092211e6b58e4ceece8e0f7e529b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.20437",
    "kind": "arxiv",
    "version": 1
  }
}