Pith Number

pith:P7PN7UYV

pith:2011:P7PN7UYVJ3TF6QYNCHL5NEEO3F

not attested not anchored not stored refs pending

k-means Approach to the Karhunen-Loeve Transform

Jacek Tabor, Krzysztof Misztal, Przemyslaw Spurek

arxiv:1109.3994 v1 · 2011-09-19 · cs.IT · math.IT · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7PN7UYVJ3TF6QYNCHL5NEEO3F}

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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	2026-05-18T04:12:45.388858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fdedfd3154ee65f430d11d7d6908ed94ec37e1af82b0d6277efd079c5300351

Aliases

arxiv: 1109.3994 · arxiv_version: 1109.3994v1 · doi: 10.48550/arxiv.1109.3994 · pith_short_12: P7PN7UYVJ3TF · pith_short_16: P7PN7UYVJ3TF6QYN · pith_short_8: P7PN7UYV

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/P7PN7UYVJ3TF6QYNCHL5NEEO3F \
  | 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: 7fdedfd3154ee65f430d11d7d6908ed94ec37e1af82b0d6277efd079c5300351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ad2d0610b2b808260fc008726d498eb4d85800ad713eedb9394831f0c4d2450",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-19T10:48:27Z",
    "title_canon_sha256": "ee16e683c2553738f274adfb381a2b5f6ce668f9073dc23e803733ecdeeb2348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3994",
    "kind": "arxiv",
    "version": 1
  }
}