Pith Number

pith:6GPIG3HV

pith:2023:6GPIG3HVUSYNBOC7IJM5AYLOJH

not attested not anchored not stored refs pending

The emergence of clusters in self-attention dynamics

Borjan Geshkovski, Cyril Letrouit, Philippe Rigollet, Yury Polyanskiy

arxiv:2305.05465 v6 · 2023-05-09 · cs.LG · math.AP · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GPIG3HVUSYNBOC7IJM5AYLOJH}

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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

Phase transitions for the noisy transformer model in arbitrary dimension

Clustering in pure-attention hardmax transformers and its role in sentiment analysis

Correcting Influence: Unboxing LLM Outputs with Orthogonal Latent Spaces

A Unified Framework for Critical Scaling of Inverse Temperature in Self-Attention

Gradient Flow Structure and Quantitative Dynamics of Multi-Head Self-Attention

Receipt and verification

First computed	2026-07-05T07:44:17.966121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f19e836cf5a4b0d0b85f4259d0616e49ddb8698409ca06cdada300e615c526c2

Aliases

arxiv: 2305.05465 · arxiv_version: 2305.05465v6 · doi: 10.48550/arxiv.2305.05465 · pith_short_12: 6GPIG3HVUSYN · pith_short_16: 6GPIG3HVUSYNBOC7 · pith_short_8: 6GPIG3HV

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/6GPIG3HVUSYNBOC7IJM5AYLOJH \
  | 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: f19e836cf5a4b0d0b85f4259d0616e49ddb8698409ca06cdada300e615c526c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcfe944728d85ab9c7747deb059f573af69721fb54fb8df995856fa61b374eb5",
    "cross_cats_sorted": [
      "math.AP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-05-09T14:04:42Z",
    "title_canon_sha256": "d4ea358df604a4f5d643d6862daf5e12cc7b833359535b71429063b1d2192dae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.05465",
    "kind": "arxiv",
    "version": 6
  }
}