Pith Number

pith:SEQD7X76

pith:2008:SEQD7X76MUND6PGCBJCDFJIRXG

not attested not anchored not stored refs pending

Learning Hidden Markov Models using Non-Negative Matrix Factorization

George Cybenko, Valentino Crespi

arxiv:0809.4086 v2 · 2008-09-24 · cs.LG · cs.AI · cs.IT · 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{SEQD7X76MUND6PGCBJCDFJIRXG}

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	2026-05-18T04:31:52.585841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91203fdffe651a3f3cc20a4432a511b9a3f21f5a2165c11257c5454a578744a1

Aliases

arxiv: 0809.4086 · arxiv_version: 0809.4086v2 · doi: 10.48550/arxiv.0809.4086 · pith_short_12: SEQD7X76MUND · pith_short_16: SEQD7X76MUND6PGC · pith_short_8: SEQD7X76

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/SEQD7X76MUND6PGCBJCDFJIRXG \
  | 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: 91203fdffe651a3f3cc20a4432a511b9a3f21f5a2165c11257c5454a578744a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e9ee14bd66bf23bfdc7397d36bf47ee31a52dfeb25795593433d5ec808ee665",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2008-09-24T05:34:56Z",
    "title_canon_sha256": "0439a0b2148b1470b4b3a196caf90969dc2691502e27b7c2dee214d38df37bd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4086",
    "kind": "arxiv",
    "version": 2
  }
}