Pith Number

pith:L5KOFDYR

pith:2016:L5KOFDYR7KCK7I4VOFQPJRL3GE

not attested not anchored not stored refs pending

Statistical and Computational Guarantees of Lloyd's Algorithm and its Variants

Harrison H. Zhou, Yu Lu

arxiv:1612.02099 v1 · 2016-12-07 · math.ST · cs.LG · stat.ML · 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{L5KOFDYR7KCK7I4VOFQPJRL3GE}

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

4 papers in Pith

Mixed Membership sub-Gaussian Models

Fast estimation of Gaussian mixture components via centering and singular value thresholding

Individual-heterogeneous sub-Gaussian Mixture Models

The interplay of signal-to-noise ratio and variance misspecification in Gaussian mixtures

Receipt and verification

First computed	2026-05-18T00:55:35.332294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f54e28f11fa84afa3957160f4c57b31078d276af2d34f75890aae40d2dd2e4f

Aliases

arxiv: 1612.02099 · arxiv_version: 1612.02099v1 · doi: 10.48550/arxiv.1612.02099 · pith_short_12: L5KOFDYR7KCK · pith_short_16: L5KOFDYR7KCK7I4V · pith_short_8: L5KOFDYR

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/L5KOFDYR7KCK7I4VOFQPJRL3GE \
  | 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: 5f54e28f11fa84afa3957160f4c57b31078d276af2d34f75890aae40d2dd2e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ec185c10d9b2d4f2078e0f223fadd01ae89825812b63b8d4522b2b60290e9c2",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-12-07T02:35:54Z",
    "title_canon_sha256": "f3c5f7a68ff5c6b53c2246081ad8c14c8d4c8f0c11e413b5c20cd9935c88821b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02099",
    "kind": "arxiv",
    "version": 1
  }
}