Pith Number

pith:BK3IKYMM

pith:2002:BK3IKYMMMMRBNIHDA5H4K6QQLK

not attested not anchored not stored refs pending

The Mysterious Optimality of Naive Bayes: Estimation of the Probability in the System of "Classifiers"

Alexsander Vardy, Oleg Kupervasser

arxiv:cs/0202020 v3 · 2002-02-17 · cs.CV · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BK3IKYMMMMRBNIHDA5H4K6QQLK}

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	2026-05-18T03:03:45.038431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ab685618c632216a0e3074fc57a105aac4da48fb38192127de5244c20db85a1

Aliases

arxiv: cs/0202020 · arxiv_version: cs/0202020v3 · doi: 10.48550/arxiv.cs/0202020 · pith_short_12: BK3IKYMMMMRB · pith_short_16: BK3IKYMMMMRBNIHD · pith_short_8: BK3IKYMM

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/BK3IKYMMMMRBNIHDA5H4K6QQLK \
  | 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: 0ab685618c632216a0e3074fc57a105aac4da48fb38192127de5244c20db85a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5fb2a56c4557800acba5fac726d783619d5dd32fa3941c91f90cdd93d3ebdae",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2002-02-17T14:55:47Z",
    "title_canon_sha256": "56db13af43893aac4dcdf9e44a599e7e8cfe2031a15fc41a73873e0780b17324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0202020",
    "kind": "arxiv",
    "version": 3
  }
}