Pith Number

pith:LXQAW2WC

pith:2026:LXQAW2WCFAYPBK2BSCWPIPISDL

not attested not anchored not stored refs pending

Kernel Characterisations of Stochastic Orders Within Parametric Density Families

Zakaria Derbazi

arxiv:2605.18751 v1 · 2026-05-18 · math.PR · 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{LXQAW2WCFAYPBK2BSCWPIPISDL}

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	2026-05-20T00:06:19.484585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5de00b6ac22830f0ab4190acf43d121af288c1bd1f4ac78f82657c5b794e3027

Aliases

arxiv: 2605.18751 · arxiv_version: 2605.18751v1 · doi: 10.48550/arxiv.2605.18751 · pith_short_12: LXQAW2WCFAYP · pith_short_16: LXQAW2WCFAYPBK2B · pith_short_8: LXQAW2WC

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/LXQAW2WCFAYPBK2BSCWPIPISDL \
  | 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: 5de00b6ac22830f0ab4190acf43d121af288c1bd1f4ac78f82657c5b794e3027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ccd49b36624345b272a301cfba095dcc3ac1e27389b0e3d6b666f06bcc2508b",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-18T17:59:20Z",
    "title_canon_sha256": "f281c21a6e265cc83d19368b4280cc3a3bfd0a42c34d0f3de01aab4709d12890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18751",
    "kind": "arxiv",
    "version": 1
  }
}