Pith Number

pith:LJII6N5R

pith:2016:LJII6N5RSLYM2HBQUDSCHFSBTV

not attested not anchored not stored refs pending

The Mann-Whitney U-statistic for $\alpha$-dependent sequences

Guillaume Sauli\`ere (IRMES), J\'er\^ome Dedecker (MAP5)

arxiv:1611.06828 v1 · 2016-11-21 · 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{LJII6N5RSLYM2HBQUDSCHFSBTV}

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	2026-05-18T00:57:32.771608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a508f37b192f0cd1c30a0e42396419d631c1292a3c96f503978e0b006ebc074

Aliases

arxiv: 1611.06828 · arxiv_version: 1611.06828v1 · doi: 10.48550/arxiv.1611.06828 · pith_short_12: LJII6N5RSLYM · pith_short_16: LJII6N5RSLYM2HBQ · pith_short_8: LJII6N5R

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/LJII6N5RSLYM2HBQUDSCHFSBTV \
  | 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: 5a508f37b192f0cd1c30a0e42396419d631c1292a3c96f503978e0b006ebc074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d3ba2e9ce9a998f903d6167b1947bba4fb1578de8f8afd1f0bed8b5643cfb8f",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-11-21T15:17:40Z",
    "title_canon_sha256": "8835293217f44379b89aa5c18a9ea4c1fce60d660e4defa04db1060f7937d53e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06828",
    "kind": "arxiv",
    "version": 1
  }
}