Pith Number

pith:QO6DSA5K

pith:2026:QO6DSA5KLWYTREOUROAWVA53AG

not attested not anchored not stored refs pending

Stable size-biasing and the positive scale-mixture order of generalized Gaussian laws

Domingos S. P. Salazar

arxiv:2606.18458 v1 · 2026-06-16 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QO6DSA5KLWYTREOUROAWVA53AG}

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	2026-06-19T16:11:01.711663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83bc3903aa5db13891d48b816a83bb01a9f76e9d1e6d21ae87f8bbda0da1a0aa

Aliases

arxiv: 2606.18458 · arxiv_version: 2606.18458v1 · doi: 10.48550/arxiv.2606.18458 · pith_short_12: QO6DSA5KLWYT · pith_short_16: QO6DSA5KLWYTREOU · pith_short_8: QO6DSA5K

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/QO6DSA5KLWYTREOUROAWVA53AG \
  | 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: 83bc3903aa5db13891d48b816a83bb01a9f76e9d1e6d21ae87f8bbda0da1a0aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6d71f2935502c1ea90f6861f64a1d1224f2b697dfe9d7a2d724595f37da9f8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-16T20:04:47Z",
    "title_canon_sha256": "27a596e81225865ec5c97837269595dd5c68b897a2896edba3b8421f1782f189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18458",
    "kind": "arxiv",
    "version": 1
  }
}