Pith Number

pith:JMRVKMRD

pith:2026:JMRVKMRDWNIR53AU3CZRFXYOLN

not attested not anchored not stored refs pending

Evaluation of the number of clusters in a data set using $p$-values from Multiple Tests of Hypotheses

Soumita Modak

arxiv:2605.20806 v1 · 2026-05-20 · stat.ME · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMRVKMRDWNIR53AU3CZRFXYOLN}

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	2026-05-21T01:04:55.507329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b23553223b3511eec14d8b312df0e5b5c104b9ec2964cf1e557e221471a8f02

Aliases

arxiv: 2605.20806 · arxiv_version: 2605.20806v1 · doi: 10.48550/arxiv.2605.20806 · pith_short_12: JMRVKMRDWNIR · pith_short_16: JMRVKMRDWNIR53AU · pith_short_8: JMRVKMRD

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/JMRVKMRDWNIR53AU3CZRFXYOLN \
  | 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: 4b23553223b3511eec14d8b312df0e5b5c104b9ec2964cf1e557e221471a8f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f2280ee8364374fba4e3d11295f1e20f18a2e92fa0e1ca39bc5ee92b2099080",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-05-20T06:58:04Z",
    "title_canon_sha256": "40933b309dd079f2c9de7ab82906dbfdc86aeeec9dea7ec4f3ab7fffe4c450cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20806",
    "kind": "arxiv",
    "version": 1
  }
}