pith. sign in
Pith Number

pith:5HXSHZBI

pith:2017:5HXSHZBIWYUCUWJRKBYEDON7EA
not attested not anchored not stored refs pending

The normal distribution is freely selfdecomposable

Noriyoshi Sakuma, Steen Thorbj{\o}rnsen, Takahiro Hasebe

arxiv:1701.00409 v2 · 2017-01-02 · math.PR · math.OA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5HXSHZBIWYUCUWJRKBYEDON7EA}

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 2026-05-18T00:39:56.767817Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e9ef23e428b6282a5931507041b9bf202c70c57fa5859395e2204007b9154589

Aliases

arxiv: 1701.00409 · arxiv_version: 1701.00409v2 · doi: 10.48550/arxiv.1701.00409 · pith_short_12: 5HXSHZBIWYUC · pith_short_16: 5HXSHZBIWYUCUWJR · pith_short_8: 5HXSHZBI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5HXSHZBIWYUCUWJRKBYEDON7EA \
  | 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: e9ef23e428b6282a5931507041b9bf202c70c57fa5859395e2204007b9154589
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "208c64a74af5121dac2bba1410e95c9ead49df0ec4d8438851f072dccff22a9c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-02T14:47:30Z",
    "title_canon_sha256": "74283e65c695e94d7186e81f677d0552923f682a21ba90389d16b84bceeeaf3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00409",
    "kind": "arxiv",
    "version": 2
  }
}