Pith Number

pith:4YFA33DU

pith:2025:4YFA33DUUJDGUFBXJAEFUNLWTN

not attested not anchored not stored refs pending

A More Precise Elbow Method for Optimum K-means Clustering

Indra Herdiana, M Alfin Kamal, Mutia Nur Estri, Renny, Triyani

arxiv:2502.00851 v2 · 2025-02-02 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YFA33DUUJDGUFBXJAEFUNLWTN}

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	2026-07-05T10:11:32.877613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e60a0dec74a2466a143748085a35769b7686b46e3afc9303a999d662cbda5bb2

Aliases

arxiv: 2502.00851 · arxiv_version: 2502.00851v2 · doi: 10.48550/arxiv.2502.00851 · pith_short_12: 4YFA33DUUJDG · pith_short_16: 4YFA33DUUJDGUFBX · pith_short_8: 4YFA33DU

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/4YFA33DUUJDGUFBXJAEFUNLWTN \
  | 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: e60a0dec74a2466a143748085a35769b7686b46e3afc9303a999d662cbda5bb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70ea3201850f4d6768af172d647bede8864feb4b7b8f7b18870702f12c2ca31b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-02-02T16:50:56Z",
    "title_canon_sha256": "bf151a4fcc10ea70186a377136c91e931ae52e77ba25fdf62136d4f7807c32dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00851",
    "kind": "arxiv",
    "version": 2
  }
}