Pith Number

pith:BY4PVGVO

pith:2026:BY4PVGVOL66FKVKHCAQZLE5O5Q

not attested not anchored not stored refs pending

An interpretable Good--Turing restart criterion for k-means++

Renato Cordeiro de Amorim

arxiv:2607.08243 v1 · 2026-07-09 · cs.LG · 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{BY4PVGVOL66FKVKHCAQZLE5O5Q}

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	2026-07-10T01:19:30.538876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e38fa9aae5fbc55554710219593aeec193412d4b2b26b8ffecfa2b09dcae2e2

Aliases

arxiv: 2607.08243 · arxiv_version: 2607.08243v1 · doi: 10.48550/arxiv.2607.08243 · pith_short_12: BY4PVGVOL66F · pith_short_16: BY4PVGVOL66FKVKH · pith_short_8: BY4PVGVO

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/BY4PVGVOL66FKVKHCAQZLE5O5Q \
  | 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: 0e38fa9aae5fbc55554710219593aeec193412d4b2b26b8ffecfa2b09dcae2e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b59b7354f2822766d3793902ca5611d0a499a71a75168e30ec4262b3cddf7a69",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-09T08:43:18Z",
    "title_canon_sha256": "7afae6e1a39a2a14dffe00fe930b3769a1449b7df85b8e392a83d738a7dfd15f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08243",
    "kind": "arxiv",
    "version": 1
  }
}