Pith Number

pith:IIDWB4LD

pith:2025:IIDWB4LDCST5IYVZ3AQK3ADQB4

not attested not anchored not stored refs pending

Dendrograms of Mixing Measures for Softmax-Gated Gaussian Mixture of Experts: Consistency Without Model Sweeps

Binh T. Nguyen, Christopher Drovandi, Do Tien Hai, Nhat Ho, Trung Nguyen Mai, TrungTin Nguyen

arxiv:2510.12744 v2 · 2025-10-14 · stat.ML · cs.LG · math.ST · stat.CO · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IIDWB4LDCST5IYVZ3AQK3ADQB4}

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	2026-06-09T02:07:11.256626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

420760f16314a7d462b9d820ad80700f058bf0c2c6cd5a71026363ba85305123

Aliases

arxiv: 2510.12744 · arxiv_version: 2510.12744v2 · doi: 10.48550/arxiv.2510.12744 · pith_short_12: IIDWB4LDCST5 · pith_short_16: IIDWB4LDCST5IYVZ · pith_short_8: IIDWB4LD

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/IIDWB4LDCST5IYVZ3AQK3ADQB4 \
  | 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: 420760f16314a7d462b9d820ad80700f058bf0c2c6cd5a71026363ba85305123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c629e8e7700228da466ff663d00738c2e23378dc3be1a64b3590b9116741a9f",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.CO",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-10-14T17:23:44Z",
    "title_canon_sha256": "afd0d70d8675e980afad199a68969ac385de244f818f7ff17f82161873b866af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.12744",
    "kind": "arxiv",
    "version": 2
  }
}