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Pith Number

pith:VQJEQ5ZQ

pith:2013:VQJEQ5ZQ5HA4AXHCD43ZJZMZL3
not attested not anchored not stored refs pending

Minimax Theory for High-dimensional Gaussian Mixtures with Sparse Mean Separation

Aarti Singh, Larry Wasserman, Martin Azizyan

arxiv:1306.2035 v1 · 2013-06-09 · stat.ML · cs.LG · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VQJEQ5ZQ5HA4AXHCD43ZJZMZL3}

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 2026-05-18T03:21:22.595358Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ac12487730e9c1c05ce21f3794e5995ec39aaaeedb223fce2299c0463adf1f47

Aliases

arxiv: 1306.2035 · arxiv_version: 1306.2035v1 · doi: 10.48550/arxiv.1306.2035 · pith_short_12: VQJEQ5ZQ5HA4 · pith_short_16: VQJEQ5ZQ5HA4AXHC · pith_short_8: VQJEQ5ZQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VQJEQ5ZQ5HA4AXHCD43ZJZMZL3 \
  | 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: ac12487730e9c1c05ce21f3794e5995ec39aaaeedb223fce2299c0463adf1f47
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "530027ec479b0c8866b490192bf99c7c9a463feb9e3cec708e04f95e0c9de36c",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2013-06-09T16:28:56Z",
    "title_canon_sha256": "2389a18f7b0beb38ee23e949c51a3d560469fb18c7200636408b836fb9a027bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2035",
    "kind": "arxiv",
    "version": 1
  }
}