Pith Number

pith:VMOIB4ZA

pith:2023:VMOIB4ZAXQJLG7FMOXYGTAC4TC

not attested not anchored not stored refs pending

On the Optimization and Generalization of Multi-head Attention

Christos Thrampoulidis, Hossein Taheri, Puneesh Deora, Rouzbeh Ghaderi

arxiv:2310.12680 v2 · 2023-10-19 · 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{VMOIB4ZAXQJLG7FMOXYGTAC4TC}

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

2 papers in Pith

Structure Before Collapse: Transient semantic geometry in next-token prediction

H$_2$O: Heavy-Hitter Oracle for Efficient Generative Inference of Large Language Models

Receipt and verification

First computed	2026-07-05T09:19:24.678218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1c80f320bc12b37cac75f069805c98b5f5edf87992818970c4f358b8b95197

Aliases

arxiv: 2310.12680 · arxiv_version: 2310.12680v2 · doi: 10.48550/arxiv.2310.12680 · pith_short_12: VMOIB4ZAXQJL · pith_short_16: VMOIB4ZAXQJLG7FM · pith_short_8: VMOIB4ZA

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/VMOIB4ZAXQJLG7FMOXYGTAC4TC \
  | 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: ab1c80f320bc12b37cac75f069805c98b5f5edf87992818970c4f358b8b95197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dd01b9afa80be24dbe80274135d3a394fe72a0fbcdba796048d5cdf35204686",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-10-19T12:18:24Z",
    "title_canon_sha256": "9a71bbfa85f4a47fa7f9b4e8fb7c22cc34dfbc16aa6d2ba83e64dcbbf9206ada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.12680",
    "kind": "arxiv",
    "version": 2
  }
}