Pith Number

pith:LMQQEKEQ

pith:2016:LMQQEKEQKNI2ZNYWCCSW6VXQMK

not attested not anchored not stored refs pending

A-Ward_p\b{eta}: Effective hierarchical clustering using the Minkowski metric and a fast k -means initialisation

Boris Mirkin, Renato Cordeiro de Amorim, Vladimir Makarenkov

arxiv:1611.01060 v1 · 2016-11-03 · 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{LMQQEKEQKNI2ZNYWCCSW6VXQMK}

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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	2026-05-18T01:00:17.809390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b210228905351acb71610a56f56f0629fb0f275d55da00d4bf90ec17750312d

Aliases

arxiv: 1611.01060 · arxiv_version: 1611.01060v1 · doi: 10.48550/arxiv.1611.01060 · pith_short_12: LMQQEKEQKNI2 · pith_short_16: LMQQEKEQKNI2ZNYW · pith_short_8: LMQQEKEQ

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/LMQQEKEQKNI2ZNYWCCSW6VXQMK \
  | 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: 5b210228905351acb71610a56f56f0629fb0f275d55da00d4bf90ec17750312d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df54eaf213cd72ee012133ff519ea0794638e11318d269b32aa33829e257857e",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-11-03T15:23:53Z",
    "title_canon_sha256": "6c7bc312c0a3c2a1ab7b24f7f7355af4328f72bc569dba39ffe5326d2ebbc5da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01060",
    "kind": "arxiv",
    "version": 1
  }
}