Pith Number

pith:ZC52T33H

pith:2018:ZC52T33H5ZYHFG6TX3BDGNXBP5

not attested not anchored not stored refs pending

Sharp optimal recovery in the two-component Gaussian Mixture Model

Mohamed Ndaoud

arxiv:1812.08078 v3 · 2018-12-19 · math.ST · 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{ZC52T33H5ZYHFG6TX3BDGNXBP5}

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

Randomly initialized EM algorithm for two-component Gaussian mixture achieves near optimality in $O(\sqrt{n})$ iterations

Receipt and verification

First computed	2026-07-05T01:16:07.843472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8bba9ef67ee70729bd3bec23336e17f572afee607b71b07c2ac684899053424

Aliases

arxiv: 1812.08078 · arxiv_version: 1812.08078v3 · doi: 10.48550/arxiv.1812.08078 · pith_short_12: ZC52T33H5ZYH · pith_short_16: ZC52T33H5ZYHFG6T · pith_short_8: ZC52T33H

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/ZC52T33H5ZYHFG6TX3BDGNXBP5 \
  | 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: c8bba9ef67ee70729bd3bec23336e17f572afee607b71b07c2ac684899053424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e403317276cbf5b26056c5057b16c0dedd5b80154aeb53215cfb47e5035205",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-12-19T16:53:12Z",
    "title_canon_sha256": "2277086a58bf9aa8620cd8c84d1055f158d72b7e4bd969134f330be07f9cc948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08078",
    "kind": "arxiv",
    "version": 3
  }
}