Pith Number

pith:6CDYXTQQ

pith:2013:6CDYXTQQVGTALYISRWVJUAWWDF

not attested not anchored not stored refs pending

Learning Mixtures of Discrete Product Distributions using Spectral Decompositions

Prateek Jain, Sewoong Oh

arxiv:1311.2972 v2 · 2013-11-12 · stat.ML · cs.CC · cs.IT · cs.LG · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CDYXTQQVGTALYISRWVJUAWWDF}

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	2026-05-18T02:51:41.978690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0878bce10a9a605e1128daa9a02d61966a035ba39b4f7b83bbaa9c484be28b1

Aliases

arxiv: 1311.2972 · arxiv_version: 1311.2972v2 · doi: 10.48550/arxiv.1311.2972 · pith_short_12: 6CDYXTQQVGTA · pith_short_16: 6CDYXTQQVGTALYIS · pith_short_8: 6CDYXTQQ

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/6CDYXTQQVGTALYISRWVJUAWWDF \
  | 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: f0878bce10a9a605e1128daa9a02d61966a035ba39b4f7b83bbaa9c484be28b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "479ca7dece531df814fbb77be2c58cee0a62c8dbea5399e75321d8b84e97282d",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.IT",
      "cs.LG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2013-11-12T22:15:35Z",
    "title_canon_sha256": "d3f7ccd0a00f2eb4b1bd2dcc99c57230f39b0b9002284fa131c05e2996c4204f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2972",
    "kind": "arxiv",
    "version": 2
  }
}