Pith Number

pith:32VBHWKA

pith:2024:32VBHWKAHC63CZA2QXX2YV5T2L

not attested not anchored not stored refs pending

Multi-Head Mixture-of-Experts

Furu Wei, Shaohan Huang, Wenhui Wang, Xun Wu

arxiv:2404.15045 v1 · 2024-04-23 · cs.CL · cs.AI · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32VBHWKAHC63CZA2QXX2YV5T2L}

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

Sigmoid Self-Attention has Lower Sample Complexity than Softmax Self-Attention: A Mixture-of-Experts Perspective

Receipt and verification

First computed	2026-07-05T08:11:14.460493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deaa13d94038bdb1641a85efac57b3d2ccef2df2cff9ab933f0e6908ce444d27

Aliases

arxiv: 2404.15045 · arxiv_version: 2404.15045v1 · doi: 10.48550/arxiv.2404.15045 · pith_short_12: 32VBHWKAHC63 · pith_short_16: 32VBHWKAHC63CZA2 · pith_short_8: 32VBHWKA

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/32VBHWKAHC63CZA2QXX2YV5T2L \
  | 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: deaa13d94038bdb1641a85efac57b3d2ccef2df2cff9ab933f0e6908ce444d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf71efedba4762f5de7377d390302e28d7396655dfb645d9b578ecb551b6050e",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2024-04-23T13:47:09Z",
    "title_canon_sha256": "ec56aea08cbed81c81424d285544960544b50f5e3c7136ef39e984965fe05328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.15045",
    "kind": "arxiv",
    "version": 1
  }
}