Pith Number

pith:OKQPQMKN

pith:2019:OKQPQMKNCXMJQWRYMLX2UABKHB

not attested not anchored not stored refs pending

Distribution-free consistent independence tests via center-outward ranks and signs

Fang Han, Hongjian Shi, Mathias Drton

arxiv:1909.10024 v4 · 2019-09-22 · math.ST · 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{OKQPQMKNCXMJQWRYMLX2UABKHB}

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	2026-07-05T01:09:00.929818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72a0f8314d15d8985a3862efaa002a38611b19977216d6780c2ebc10414b19eb

Aliases

arxiv: 1909.10024 · arxiv_version: 1909.10024v4 · doi: 10.48550/arxiv.1909.10024 · pith_short_12: OKQPQMKNCXMJ · pith_short_16: OKQPQMKNCXMJQWRY · pith_short_8: OKQPQMKN

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/OKQPQMKNCXMJQWRYMLX2UABKHB \
  | 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: 72a0f8314d15d8985a3862efaa002a38611b19977216d6780c2ebc10414b19eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318038e2fad7156742d38c666473787a516cc2e3a9f711df52e29f21a8eaa541",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-09-22T15:12:17Z",
    "title_canon_sha256": "372955e5f373d17f05b8e638d4fe90f1f76ed09b41ea7dd5f169ea2ee4a010b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.10024",
    "kind": "arxiv",
    "version": 4
  }
}