Pith Number

pith:5PITOZTB

pith:2011:5PITOZTBEHYK364F3P2AZJPSSP

not attested not anchored not stored refs pending

The EM Algorithm and the Rise of Computational Biology

Jun S. Liu, Xiaodan Fan, Yuan Yuan

arxiv:1104.2180 v1 · 2011-04-12 · stat.ME · q-bio.GN · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PITOZTBEHYK364F3P2AZJPSSP}

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	2026-05-18T04:24:35.791168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd137666121f0adfb85dbf40ca5f293c7da3b6c30bf31c27948417bda05d116

Aliases

arxiv: 1104.2180 · arxiv_version: 1104.2180v1 · doi: 10.48550/arxiv.1104.2180 · pith_short_12: 5PITOZTBEHYK · pith_short_16: 5PITOZTBEHYK364F · pith_short_8: 5PITOZTB

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/5PITOZTBEHYK364F3P2AZJPSSP \
  | 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: ebd137666121f0adfb85dbf40ca5f293c7da3b6c30bf31c27948417bda05d116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "014ff42130404d2eb035b44b24be7d5f300b7902d30ce034a2c15f5fd81a338b",
    "cross_cats_sorted": [
      "q-bio.GN",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2011-04-12T12:08:54Z",
    "title_canon_sha256": "e7327712e1432e887f0dce114247a1bf18b9c2cee11ed5fd2fabc8f69cda9fd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2180",
    "kind": "arxiv",
    "version": 1
  }
}