Pith Number

pith:GA3IGLCP

pith:2015:GA3IGLCPKNC4WH4DKDT3K4JVJZ

not attested not anchored not stored refs pending

Fast low-rank estimation by projected gradient descent: General statistical and algorithmic guarantees

Martin J. Wainwright, Yudong Chen

arxiv:1509.03025 v1 · 2015-09-10 · math.ST · cs.LG · stat.ML · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GA3IGLCPKNC4WH4DKDT3K4JVJZ}

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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

6 papers in Pith

GWT: Scalable Optimizer State Compression for Large Language Model Training

Sample efficient inductive matrix completion with noise and inexact side information

GaLore: Memory-Efficient LLM Training by Gradient Low-Rank Projection

Convexity in Disguise: A Theoretical Framework for Nonconvex Low-Rank Matrix Estimation

Low-Rank Adaptation Redux for Large Models

Receipt and verification

First computed	2026-05-18T01:33:25.722115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3036832c4f5345cb1f8350e7b571354e7edb28a2fed236eb4200caec9177f2ca

Aliases

arxiv: 1509.03025 · arxiv_version: 1509.03025v1 · doi: 10.48550/arxiv.1509.03025 · pith_short_12: GA3IGLCPKNC4 · pith_short_16: GA3IGLCPKNC4WH4D · pith_short_8: GA3IGLCP

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/GA3IGLCPKNC4WH4DKDT3K4JVJZ \
  | 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: 3036832c4f5345cb1f8350e7b571354e7edb28a2fed236eb4200caec9177f2ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9670f88391bd27f84dfdb1971d6e2cf5fa147a6ba7edfe0ce5ecb6184d12841",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-09-10T06:07:52Z",
    "title_canon_sha256": "eb7809f30e659ed621defe18a2088fc2e0cef4bc761b07cdacc6e7dde836288c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03025",
    "kind": "arxiv",
    "version": 1
  }
}