Pith Number

pith:F3BWYS6I

pith:2022:F3BWYS6INJLRHYSJ54OV5ZXCFL

not attested not anchored not stored refs pending

Cluster-level Group Representativity Fairness in $k$-means Clustering

Deepak P, Muiris MacCarthaigh, Stanley Simoes

arxiv:2212.14467 v1 · 2022-12-29 · cs.LG · cs.CY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3BWYS6INJLRHYSJ54OV5ZXCFL}

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	2026-07-05T05:29:10.562141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec36c4bc86a5713e249ef1d5ee6e22ac9de9895fcbc1658371dfe65fec27ae4

Aliases

arxiv: 2212.14467 · arxiv_version: 2212.14467v1 · doi: 10.48550/arxiv.2212.14467 · pith_short_12: F3BWYS6INJLR · pith_short_16: F3BWYS6INJLRHYSJ · pith_short_8: F3BWYS6I

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/F3BWYS6INJLRHYSJ54OV5ZXCFL \
  | 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: 2ec36c4bc86a5713e249ef1d5ee6e22ac9de9895fcbc1658371dfe65fec27ae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba61324f60060d3cf40491e17e4c1a231d164fad004854b1938a5c0cf237b849",
    "cross_cats_sorted": [
      "cs.CY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-12-29T22:02:28Z",
    "title_canon_sha256": "78e27ac19123554b5aad3fe905bc1e4703205733521b98b4d98c3f88b3a663d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.14467",
    "kind": "arxiv",
    "version": 1
  }
}