Pith. sign in
Pith Number

pith:45ENPZFP

pith:2021:45ENPZFPMFT53PULP3DAYSENS7
not attested not anchored not stored refs pending

Clustering Mixtures with Almost Optimal Separation in Polynomial Time

Allen Liu, Jerry Li

arxiv:2112.00706 v1 · 2021-12-01 · cs.DS · cs.LG · math.ST · stat.ML · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{45ENPZFPMFT53PULP3DAYSENS7}

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

Receipt and verification
First computed 2026-07-05T03:36:49.548698Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e748d7e4af6167ddbe8b7ec60c488d97f4d7bfb8a2c9a86a4a35850546fe14a2

Aliases

arxiv: 2112.00706 · arxiv_version: 2112.00706v1 · doi: 10.48550/arxiv.2112.00706 · pith_short_12: 45ENPZFPMFT5 · pith_short_16: 45ENPZFPMFT53PUL · pith_short_8: 45ENPZFP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/45ENPZFPMFT53PULP3DAYSENS7 \
  | 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: e748d7e4af6167ddbe8b7ec60c488d97f4d7bfb8a2c9a86a4a35850546fe14a2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8620fb2a40ac36e8d130bbb8ccc99677af18b3029c17d3b6550303cd81a096ce",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-12-01T18:34:09Z",
    "title_canon_sha256": "3cca05993054c622f18dfe405ad310e4a5d36b7ca98ee587e11c4a105a501d73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00706",
    "kind": "arxiv",
    "version": 1
  }
}