Pith Number

pith:KNT7YGSA

pith:2025:KNT7YGSANRTKYAQKH2EH46FQCL

not attested not anchored not stored refs pending

Transformers versus the EM Algorithm in Multi-class Clustering

Han Liu, Hong-Yu Chen, Jianqing Fan, Yihan He, Yuan Cao

arxiv:2502.06007 v1 · 2025-02-09 · stat.ML · cs.LG

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\usepackage{pith}
\pithnumber{KNT7YGSANRTKYAQKH2EH46FQCL}

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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 Efficiently Perform In-Context Logistic Regression via Normalized Gradient Descent

Receipt and verification

First computed	2026-07-05T10:11:46.342889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5367fc1a406c66ac020a3e887e78b012fb3b39ecef7f42184bd75b7894d0c3b7

Aliases

arxiv: 2502.06007 · arxiv_version: 2502.06007v1 · doi: 10.48550/arxiv.2502.06007 · pith_short_12: KNT7YGSANRTK · pith_short_16: KNT7YGSANRTKYAQK · pith_short_8: KNT7YGSA

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/KNT7YGSANRTKYAQKH2EH46FQCL \
  | 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: 5367fc1a406c66ac020a3e887e78b012fb3b39ecef7f42184bd75b7894d0c3b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "444962ffd60d6286d1b9c4847754a12d8c0175f54f33e1c4caa9e710e142192e",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-02-09T19:51:58Z",
    "title_canon_sha256": "2b28bec24991a18e965a1a71008eb186ab71161262445a34a25709b4cf56725c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06007",
    "kind": "arxiv",
    "version": 1
  }
}