Pith Number

pith:QJPYEFHU

pith:2013:QJPYEFHUI62NM3HCR3RHQZ4BNB

not attested not anchored not stored refs pending

The random integral representation hypothesis revisited : new classes of s-selfdecomposable laws

Zbigniew J. Jurek

arxiv:1307.7253 v1 · 2013-07-27 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJPYEFHUI62NM3HCR3RHQZ4BNB}

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	2026-05-18T02:57:26.700681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

825f8214f447b4d66ce28ee2786781686f0a5a98719dc323abd8be4fa4f3bdec

Aliases

arxiv: 1307.7253 · arxiv_version: 1307.7253v1 · doi: 10.48550/arxiv.1307.7253 · pith_short_12: QJPYEFHUI62N · pith_short_16: QJPYEFHUI62NM3HC · pith_short_8: QJPYEFHU

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/QJPYEFHUI62NM3HCR3RHQZ4BNB \
  | 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: 825f8214f447b4d66ce28ee2786781686f0a5a98719dc323abd8be4fa4f3bdec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f6f842b5a09e184033caaa52365e8ecd1a3f572db16eab3e5cc83a52d7e641",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-27T12:08:46Z",
    "title_canon_sha256": "462643befe70732be2d55d2220581e9ec53371111aa280b17f9aaf82836f1e5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7253",
    "kind": "arxiv",
    "version": 1
  }
}