Pith Number

pith:BD7UYABZ

pith:2023:BD7UYABZ4OYPIYM2TLUDCIZ7IB

not attested not anchored not stored refs pending

SQ Lower Bounds for Learning Bounded Covariance GMMs

Daniel M. Kane, Ilias Diakonikolas, Nikos Zarifis, Thanasis Pittas

arxiv:2306.13057 v1 · 2023-06-22 · cs.LG · cs.DS · 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{BD7UYABZ4OYPIYM2TLUDCIZ7IB}

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	2026-07-05T06:23:51.686404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08ff4c0039e3b0f4619a9ae831233f40753bdb40cc994716f20ce10a1af97618

Aliases

arxiv: 2306.13057 · arxiv_version: 2306.13057v1 · doi: 10.48550/arxiv.2306.13057 · pith_short_12: BD7UYABZ4OYP · pith_short_16: BD7UYABZ4OYPIYM2 · pith_short_8: BD7UYABZ

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/BD7UYABZ4OYPIYM2TLUDCIZ7IB \
  | 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: 08ff4c0039e3b0f4619a9ae831233f40753bdb40cc994716f20ce10a1af97618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8d83bd9ed27fb51e8bada84bfea1737508d5710b5dbd7be0feeb43975eef2f",
    "cross_cats_sorted": [
      "cs.DS",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-06-22T17:23:36Z",
    "title_canon_sha256": "ffa10b1d1d4d3203c616704519dfda43c16332e36dc156574a7f1e2c4fb1eac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.13057",
    "kind": "arxiv",
    "version": 1
  }
}