Pith Number

pith:XIGZ4AMZ

pith:2021:XIGZ4AMZFPIWIDIOW2D6UI5XDJ

not attested not anchored not stored refs pending

KnAC: an approach for enhancing cluster analysis with background knowledge and explanations

Edyta Brzychczy, Grzegorz J. Nalepa, Jakub Brzegowski, Micha{\l} Kuk, Szymon Bobek

arxiv:2112.08759 v2 · 2021-12-16 · cs.AI · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIGZ4AMZFPIWIDIOW2D6UI5XDJ}

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	2026-07-05T05:19:12.289517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba0d9e01992bd1640d0eb687ea23b71a790696e52f18b2a7bb27d80adffa46ba

Aliases

arxiv: 2112.08759 · arxiv_version: 2112.08759v2 · doi: 10.48550/arxiv.2112.08759 · pith_short_12: XIGZ4AMZFPIW · pith_short_16: XIGZ4AMZFPIWIDIO · pith_short_8: XIGZ4AMZ

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/XIGZ4AMZFPIWIDIOW2D6UI5XDJ \
  | 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: ba0d9e01992bd1640d0eb687ea23b71a790696e52f18b2a7bb27d80adffa46ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a7924e63d075b13315fbab01ee1191423b757e87a0c283437add9a11b43fc1e",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2021-12-16T10:13:47Z",
    "title_canon_sha256": "d70fceb76618adff6d80d86972158dd0a8434374c848a4d917cb4409d724bfe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.08759",
    "kind": "arxiv",
    "version": 2
  }
}