Pith Number

pith:7CU47J5K

pith:2023:7CU47J5KDR3MCZ3GW6DQELXQH4

not attested not anchored not stored refs pending

A General Theory for Softmax Gating Multinomial Logistic Mixture of Experts

Huy Nguyen, Nhat Ho, Pedram Akbarian, TrungTin Nguyen

arxiv:2310.14188 v2 · 2023-10-22 · stat.ML · 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{7CU47J5KDR3MCZ3GW6DQELXQH4}

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

Sparsity is Combinatorial Depth: Quantifying MoE Expressivity via Tropical Geometry

Convergence Rates for Latent Mixing Measures in Infinite Homoscedastic Location-Scale Mixture Models

Receipt and verification

First computed	2026-07-05T08:35:38.578795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8a9cfa7aa1c76c16766b787022ef03f1c24feda2629ed641d0c530abbe11ad4

Aliases

arxiv: 2310.14188 · arxiv_version: 2310.14188v2 · doi: 10.48550/arxiv.2310.14188 · pith_short_12: 7CU47J5KDR3M · pith_short_16: 7CU47J5KDR3MCZ3G · pith_short_8: 7CU47J5K

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/7CU47J5KDR3MCZ3GW6DQELXQH4 \
  | 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: f8a9cfa7aa1c76c16766b787022ef03f1c24feda2629ed641d0c530abbe11ad4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbcd2530d0ccbfef77d8e525554859524c7c434890b45c00b9ea2ae866ffc637",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-10-22T05:32:19Z",
    "title_canon_sha256": "c640ff895e0e43b3f4b445c4ccf424033ec18343058a2644d1e5973d2003f835"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.14188",
    "kind": "arxiv",
    "version": 2
  }
}