Pith Number

pith:ZSK226ED

pith:2020:ZSK226EDSTX2JDB43DPX4EDZAG

not attested not anchored not stored refs pending

On universally consistent and fully distribution-free rank tests of vector independence

Fang Han, Hongjian Shi, Marc Hallin, Mathias Drton

arxiv:2007.02186 v2 · 2020-07-04 · 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{ZSK226EDSTX2JDB43DPX4EDZAG}

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	2026-07-05T02:36:44.378681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc95ad788394efa48c3cd8df7e107901b793e866f16939f1a492b0743b3016a9

Aliases

arxiv: 2007.02186 · arxiv_version: 2007.02186v2 · doi: 10.48550/arxiv.2007.02186 · pith_short_12: ZSK226EDSTX2 · pith_short_16: ZSK226EDSTX2JDB4 · pith_short_8: ZSK226ED

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/ZSK226EDSTX2JDB43DPX4EDZAG \
  | 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: cc95ad788394efa48c3cd8df7e107901b793e866f16939f1a492b0743b3016a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6a895a3bd15437f957a21f6a6dd84e224b7406c52b86e9919ae95af2f73d0d3",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-07-04T21:12:14Z",
    "title_canon_sha256": "71d0c2e6e30583d448a867a93be0b012ea8491440e56ee92e71e59730c9b1353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.02186",
    "kind": "arxiv",
    "version": 2
  }
}