Pith Number

pith:ELPXTPGM

pith:2015:ELPXTPGM4SXISTN6JVTHLE3UWX

not attested not anchored not stored refs pending

A Nearly Optimal and Agnostic Algorithm for Properly Learning a Mixture of k Gaussians, for any Constant k

Jerry Li, Ludwig Schmidt

arxiv:1506.01367 v1 · 2015-06-03 · cs.DS · cs.IT · cs.LG · math.IT · 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{ELPXTPGM4SXISTN6JVTHLE3UWX}

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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	2026-05-18T01:58:24.487428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22df79bccce4ae894dbe4d66759374b5ffc9fb46264dbc4303ba870b295f2a88

Aliases

arxiv: 1506.01367 · arxiv_version: 1506.01367v1 · doi: 10.48550/arxiv.1506.01367 · pith_short_12: ELPXTPGM4SXI · pith_short_16: ELPXTPGM4SXISTN6 · pith_short_8: ELPXTPGM

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/ELPXTPGM4SXISTN6JVTHLE3UWX \
  | 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: 22df79bccce4ae894dbe4d66759374b5ffc9fb46264dbc4303ba870b295f2a88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e8c49be9a5851b4431abb4bccaf25e9ac657e107e2e84c48b411aa53f2c02aa",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-06-03T19:55:10Z",
    "title_canon_sha256": "eddcecc4ff2768bf53cee19b2f973fc4fd81c2d320c1ca34b12d31c3c51351e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01367",
    "kind": "arxiv",
    "version": 1
  }
}