Pith Number

pith:7KVVID73

pith:2025:7KVVID73KVME2JV62NUJM6YNO5

not attested not anchored not stored refs pending

A Distribution Testing Approach to Clustering Distributions

Gunjan Kumar, Jonathan Scarlett, Yash Pote

arxiv:2512.08376 v2 · 2025-12-09 · cs.DS · cs.IT · math.IT · math.ST · stat.ML · 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{7KVVID73KVME2JV62NUJM6YNO5}

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	2026-06-01T01:03:47.479169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faab540ffb55584d26bed368967b0d774b04638f151f6e652166bfdf0fc8e0a7

Aliases

arxiv: 2512.08376 · arxiv_version: 2512.08376v2 · doi: 10.48550/arxiv.2512.08376 · pith_short_12: 7KVVID73KVME · pith_short_16: 7KVVID73KVME2JV6 · pith_short_8: 7KVVID73

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/7KVVID73KVME2JV62NUJM6YNO5 \
  | 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: faab540ffb55584d26bed368967b0d774b04638f151f6e652166bfdf0fc8e0a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fda92aa8ae49543e05b010a53b25084944804218af1c1968bb107a4a06928df4",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-12-09T09:01:41Z",
    "title_canon_sha256": "478b794c6724b9dcbcd61afe48c8058793cb35fd0f1ded6089ce901bac59ba89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.08376",
    "kind": "arxiv",
    "version": 2
  }
}