Pith Number

pith:LMW3KOSI

pith:2016:LMW3KOSI5D5VLK6PNF3MMSNWAE

not attested not anchored not stored refs pending

Truncated Variational Expectation Maximization

J\"org L\"ucke

arxiv:1610.03113 v3 · 2016-10-10 · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMW3KOSI5D5VLK6PNF3MMSNWAE}

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	2026-05-17T23:40:56.360623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b2db53a48e8fb55abcf6976c649b601334d93ca82cc4f90494b4a7aaebab97f

Aliases

arxiv: 1610.03113 · arxiv_version: 1610.03113v3 · doi: 10.48550/arxiv.1610.03113 · pith_short_12: LMW3KOSI5D5V · pith_short_16: LMW3KOSI5D5VLK6P · pith_short_8: LMW3KOSI

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/LMW3KOSI5D5VLK6PNF3MMSNWAE \
  | 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: 5b2db53a48e8fb55abcf6976c649b601334d93ca82cc4f90494b4a7aaebab97f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2496d9926af720783102f86cc33484f4e3e0713d37744c415c5073b1ab669cea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-10-10T22:11:43Z",
    "title_canon_sha256": "6f06b98d6e1610571c4563e62a4b51f6770388842dea45044cfba0f562544cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03113",
    "kind": "arxiv",
    "version": 3
  }
}