Pith Number

pith:VAWUZREB

pith:2025:VAWUZREBCSZC2AJ4ZEWGWG5C5Z

not attested not anchored not stored refs pending

Mixture of Experts Provably Detect and Learn the Latent Cluster Structure in Gradient-Based Learning

Kohsei Matsutani, Naoki Nishikawa, Ryotaro Kawata, Taiji Suzuki, Yuri Kinoshita

arxiv:2506.01656 v2 · 2025-06-02 · cs.LG · 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{VAWUZREBCSZC2AJ4ZEWGWG5C5Z}

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.

Receipt and verification

First computed	2026-07-05T11:54:47.789647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82d4cc48114b22d013cc92c6b1ba2ee509256b0bf25de15dc95997186727e70

Aliases

arxiv: 2506.01656 · arxiv_version: 2506.01656v2 · doi: 10.48550/arxiv.2506.01656 · pith_short_12: VAWUZREBCSZC · pith_short_16: VAWUZREBCSZC2AJ4 · pith_short_8: VAWUZREB

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/VAWUZREBCSZC2AJ4ZEWGWG5C5Z \
  | 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: a82d4cc48114b22d013cc92c6b1ba2ee509256b0bf25de15dc95997186727e70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96d4adf571207ff089f62bda03acaa154ed39318420ca709d6f49c270f453dba",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-02T13:26:44Z",
    "title_canon_sha256": "bcc6ee076008a2a301291af8a6d714d7c8f7da021b07f8252b7f6e70aa317891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01656",
    "kind": "arxiv",
    "version": 2
  }
}