Pith Number

pith:UNCKYUHA

pith:2016:UNCKYUHAA2JISAIZ6MVNIAHAIA

not attested not anchored not stored refs pending

Ten Steps of EM Suffice for Mixtures of Two Gaussians

Christos Tzamos, Constantinos Daskalakis, Manolis Zampetakis

arxiv:1609.00368 v5 · 2016-09-01 · stat.ML · cs.DS · 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{UNCKYUHAA2JISAIZ6MVNIAHAIA}

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	2026-05-18T00:43:09.204236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a344ac50e00692890119f32ad400e0400e7e7c4f2064546c917807fa78f383af

Aliases

arxiv: 1609.00368 · arxiv_version: 1609.00368v5 · doi: 10.48550/arxiv.1609.00368 · pith_short_12: UNCKYUHAA2JI · pith_short_16: UNCKYUHAA2JISAIZ · pith_short_8: UNCKYUHA

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/UNCKYUHAA2JISAIZ6MVNIAHAIA \
  | 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: a344ac50e00692890119f32ad400e0400e7e7c4f2064546c917807fa78f383af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37874677bff6003257312cc64544e3f8f437e3f36a3bbba3ca72311aa702a4ff",
    "cross_cats_sorted": [
      "cs.DS",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-09-01T19:57:26Z",
    "title_canon_sha256": "0385b78efefc70ea28f1184cd84980364c2c9c5c24990f3e17e886673c08b259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00368",
    "kind": "arxiv",
    "version": 5
  }
}