Pith Number

pith:LBJTNZHI

pith:2024:LBJTNZHIC45UCYPL2YWID4ABLA

not attested not anchored not stored refs pending

Provably learning a multi-head attention layer

Sitan Chen, Yuanzhi Li

arxiv:2402.04084 v1 · 2024-02-06 · cs.LG · cs.DS · 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{LBJTNZHIC45UCYPL2YWID4ABLA}

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

1 paper in Pith

Tight Sample Complexity of Transformers

Receipt and verification

First computed	2026-07-05T07:42:02.766837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

585336e4e8173b4161ebd62c81f001580e33245338059a3607a01bcd96805105

Aliases

arxiv: 2402.04084 · arxiv_version: 2402.04084v1 · doi: 10.48550/arxiv.2402.04084 · pith_short_12: LBJTNZHIC45U · pith_short_16: LBJTNZHIC45UCYPL · pith_short_8: LBJTNZHI

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/LBJTNZHIC45UCYPL2YWID4ABLA \
  | 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: 585336e4e8173b4161ebd62c81f001580e33245338059a3607a01bcd96805105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ba5e719518ef2f5ee67faf0ad526b89f389f3aaedab0010d10f5d71c1b325a3",
    "cross_cats_sorted": [
      "cs.DS",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-02-06T15:39:09Z",
    "title_canon_sha256": "4314db2197758aeeaaffffed24903094e742edec4e5b9cd4efd19d35d8b2ab95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.04084",
    "kind": "arxiv",
    "version": 1
  }
}