Pith Number

pith:HMIZLUK6

pith:2022:HMIZLUK6LRMWD5HZZWLPYBJCGV

not attested not anchored not stored refs pending

Tight Bounds on the Hardness of Learning Simple Nonparametric Mixtures

Bryon Aragam, Wai Ming Tai

arxiv:2203.15150 v3 · 2022-03-28 · cs.LG · math.ST · 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{HMIZLUK6LRMWD5HZZWLPYBJCGV}

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

PMODE: Theoretically Grounded and Modular Mixture Modeling

Receipt and verification

First computed	2026-07-05T06:27:39.290718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b1195d15e5c5961f4f9cd96fc05223557538097530b627ef6ec34babe87607b

Aliases

arxiv: 2203.15150 · arxiv_version: 2203.15150v3 · doi: 10.48550/arxiv.2203.15150 · pith_short_12: HMIZLUK6LRMW · pith_short_16: HMIZLUK6LRMWD5HZ · pith_short_8: HMIZLUK6

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/HMIZLUK6LRMWD5HZZWLPYBJCGV \
  | 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: 3b1195d15e5c5961f4f9cd96fc05223557538097530b627ef6ec34babe87607b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c5ac805d6eb61cbe70009fc00cba7c254fcbbf851abdbb9a466c1712016ce4",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-03-28T23:53:48Z",
    "title_canon_sha256": "0e0b514f15e43dd5736d06f6e37e499b088ae80731b6408f246a13235cf537b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.15150",
    "kind": "arxiv",
    "version": 3
  }
}