Pith Number

pith:SRICAOPQ

pith:2025:SRICAOPQGVWGSQVTFODU7RMBCD

not attested not anchored not stored refs pending

Counterfactual Explanations for k-means and Gaussian Clustering

Antonia Karra, Aristidis Likas, Evaggelia Pitoura, Georgios Vardakas

arxiv:2501.10234 v1 · 2025-01-17 · 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{SRICAOPQGVWGSQVTFODU7RMBCD}

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	2026-07-05T10:02:18.737847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94502039f0356c6942b32b874fc58110ee149e6e0428cfa2232a1b5eeaecb0e4

Aliases

arxiv: 2501.10234 · arxiv_version: 2501.10234v1 · doi: 10.48550/arxiv.2501.10234 · pith_short_12: SRICAOPQGVWG · pith_short_16: SRICAOPQGVWGSQVT · pith_short_8: SRICAOPQ

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/SRICAOPQGVWGSQVTFODU7RMBCD \
  | 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: 94502039f0356c6942b32b874fc58110ee149e6e0428cfa2232a1b5eeaecb0e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e42279b7856618782d6492c2b1eb6673bc4885c2126f48772992737998c8e678",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-17T14:56:20Z",
    "title_canon_sha256": "cd1405b343227bffe43079305bb712a52732e3f2f540608056a291ea449e4fe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10234",
    "kind": "arxiv",
    "version": 1
  }
}