Pith Number

pith:VPTAFFPP

pith:2024:VPTAFFPPFKB345U32LG54TVE57

not attested not anchored not stored refs pending

APOLLO: SGD-like Memory, AdamW-level Performance

Bo Long, David Z. Pan, Hanqing Zhu, Jinwon Lee, Sem Park, Vikas Chandra, Wenyan Cong, Xi Liu, Zhangyang Wang, Zhenyu Zhang

arxiv:2412.05270 v4 · 2024-12-06 · cs.LG · cs.AI · cs.PF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPTAFFPPFKB345U32LG54TVE57}

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

6 papers in Pith

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

CR-Net: Scaling Parameter-Efficient Training with Cross-Layer Low-Rank Structure

BOOST: BOttleneck-Optimized Scalable Training Framework for Low-Rank Large Language Models

Navigating LLM Valley: From AdamW to Memory-Efficient and Matrix-Based Optimizers

Disposition Distillation at Small Scale: A Three-Arc Negative Result

Receipt and verification

First computed	2026-07-05T10:15:23.634208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe60295ef2a83be769bd2cdde4ea4efd094b51944c35210db5009830457a1e9

Aliases

arxiv: 2412.05270 · arxiv_version: 2412.05270v4 · doi: 10.48550/arxiv.2412.05270 · pith_short_12: VPTAFFPPFKB3 · pith_short_16: VPTAFFPPFKB345U3 · pith_short_8: VPTAFFPP

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/VPTAFFPPFKB345U32LG54TVE57 \
  | 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: abe60295ef2a83be769bd2cdde4ea4efd094b51944c35210db5009830457a1e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e11076902e916fd0df577c4e9dc004ba96468b01ffde9100362b13bbd9b16fa",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.PF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-06T18:55:34Z",
    "title_canon_sha256": "e74e6fd5f53e4df392d76d2df350ba42cbd49ba40d1688b5412a49332cfe0763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05270",
    "kind": "arxiv",
    "version": 4
  }
}