Pith Number

pith:WCDA66DP

pith:2015:WCDA66DP6KNE2QLBDONCV6PJY2

not attested not anchored not stored refs pending

Experimental Estimation of Number of Clusters Based on Cluster Quality

G. Hannah Grace, Kalyani Desikan

arxiv:1503.03168 v1 · 2015-03-10 · cs.IR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCDA66DP6KNE2QLBDONCV6PJY2}

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	2026-05-18T02:25:04.171561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0860f786ff29a4d41611b9a2af9e9c6a574e3505feae250ce65ad00aef03050

Aliases

arxiv: 1503.03168 · arxiv_version: 1503.03168v1 · doi: 10.48550/arxiv.1503.03168 · pith_short_12: WCDA66DP6KNE · pith_short_16: WCDA66DP6KNE2QLB · pith_short_8: WCDA66DP

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/WCDA66DP6KNE2QLBDONCV6PJY2 \
  | 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: b0860f786ff29a4d41611b9a2af9e9c6a574e3505feae250ce65ad00aef03050

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7c3ec485c9fc538a4e6e20d420a7f1bbe437cbc02ebd87019f4e5796ed91644",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IR",
    "submitted_at": "2015-03-10T10:34:06Z",
    "title_canon_sha256": "5ed7936f214865ea39bc585080620c9e4a13e9bb03f73c8e862c1b23d165bb57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03168",
    "kind": "arxiv",
    "version": 1
  }
}