Pith Number

pith:Z7YKL4BD

pith:2025:Z7YKL4BDYQGDTUYOGUOCLUH4UH

not attested not anchored not stored refs pending

Memory-Efficient LLM Training by Various-Grained Low-Rank Projection of Gradients

Bo Li, Brian K Chen, Fanyi Pu, Kenji Kawaguchi, Tianyu Gao, Yezhen Wang, Zhouhao Yang

arxiv:2505.01744 v1 · 2025-05-03 · 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{Z7YKL4BDYQGDTUYOGUOCLUH4UH}

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.

Receipt and verification

First computed	2026-07-05T10:58:03.344304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff0a5f023c40c39d30e351c25d0fca1f5158e7a60aef6c2e1e8f0f56ce517ce

Aliases

arxiv: 2505.01744 · arxiv_version: 2505.01744v1 · doi: 10.48550/arxiv.2505.01744 · pith_short_12: Z7YKL4BDYQGD · pith_short_16: Z7YKL4BDYQGDTUYO · pith_short_8: Z7YKL4BD

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/Z7YKL4BDYQGDTUYOGUOCLUH4UH \
  | 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: cff0a5f023c40c39d30e351c25d0fca1f5158e7a60aef6c2e1e8f0f56ce517ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9200d261d281c5cf3fe1283d6bd24fd5525a95856ae6bc9599cbf9f40f72dfc9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-03T08:50:14Z",
    "title_canon_sha256": "b7d1da4e7fb186192add3f0f1ddc4c66d48f838e1f121b89273626ddabe7549b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.01744",
    "kind": "arxiv",
    "version": 1
  }
}