Pith Number

pith:4KHHGNHM

pith:2026:4KHHGNHMD5PEKNGAKSO2RXCWHT

not attested not anchored not stored refs pending

Integral stochastic orders of $m$-generalized order statistics from transform-ordered nonparametric families

Idir Arab, Paulo Eduardo Oliveira, Tomasz Rychlik, Tommaso Lando

arxiv:2606.07022 v1 · 2026-06-05 · 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{4KHHGNHMD5PEKNGAKSO2RXCWHT}

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	2026-06-08T01:04:41.791856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28e7334ec1f5e4534c0549da8dc563cfd5ef2b9df62d4a04f8d087cf2283657

Aliases

arxiv: 2606.07022 · arxiv_version: 2606.07022v1 · doi: 10.48550/arxiv.2606.07022 · pith_short_12: 4KHHGNHMD5PE · pith_short_16: 4KHHGNHMD5PEKNGA · pith_short_8: 4KHHGNHM

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/4KHHGNHMD5PEKNGAKSO2RXCWHT \
  | 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: e28e7334ec1f5e4534c0549da8dc563cfd5ef2b9df62d4a04f8d087cf2283657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d79c5d2ce1e798d1d3d0c05825ebec4f02ca94daa46163a46a50aa8da05d46fd",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-05T08:12:30Z",
    "title_canon_sha256": "43f0459abe7c8a37aed96200bfd64a44c42cfb6b5a0d9af2fb0f4543560dcab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07022",
    "kind": "arxiv",
    "version": 1
  }
}