Pith Number

pith:QOQGU7K6

pith:2024:QOQGU7K6ZWRXKKJNNAPE5D2E3Y

not attested not anchored not stored refs pending

Matching the Statistical Query Lower Bound for $k$-Sparse Parity Problems with Sign Stochastic Gradient Descent

Quanquan Gu, Sham M. Kakade, Yiwen Kou, Zixiang Chen

arxiv:2404.12376 v2 · 2024-04-18 · cs.LG · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOQGU7K6ZWRXKKJNNAPE5D2E3Y}

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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

1 paper in Pith

Transformers Provably Learn Sparse XOR with Polylogarithmic Parameters

Receipt and verification

First computed	2026-07-05T09:45:09.621353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83a06a7d5ecda375292d681e4e8f44de1a01ef2c5be174a5949cc6a85c2fb76a

Aliases

arxiv: 2404.12376 · arxiv_version: 2404.12376v2 · doi: 10.48550/arxiv.2404.12376 · pith_short_12: QOQGU7K6ZWRX · pith_short_16: QOQGU7K6ZWRXKKJN · pith_short_8: QOQGU7K6

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/QOQGU7K6ZWRXKKJNNAPE5D2E3Y \
  | 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: 83a06a7d5ecda375292d681e4e8f44de1a01ef2c5be174a5949cc6a85c2fb76a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a05961b40252827973e58967b1921995f0426359d3e282720e83a28524c4290",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-04-18T17:57:53Z",
    "title_canon_sha256": "fe01b71404a6b20b030612dc302308256444f3015f22c2f552e46e792f9f1bf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.12376",
    "kind": "arxiv",
    "version": 2
  }
}