Pith Number

pith:YSQ54VHV

pith:2013:YSQ54VHVEMTA5OS456V3BODGTP

not attested not anchored not stored refs pending

Stochastic integral and series representations for strictly stable distributions

Jan Rosinski, Makoto Maejima, Yohei Ueda

arxiv:1304.1580 v2 · 2013-04-04 · 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{YSQ54VHVEMTA5OS456V3BODGTP}

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	2026-05-18T03:13:10.406813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4a1de54f523260eba5cefabb0b8669bdba66f07b7a47175c09f6cbf70715900

Aliases

arxiv: 1304.1580 · arxiv_version: 1304.1580v2 · doi: 10.48550/arxiv.1304.1580 · pith_short_12: YSQ54VHVEMTA · pith_short_16: YSQ54VHVEMTA5OS4 · pith_short_8: YSQ54VHV

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/YSQ54VHVEMTA5OS456V3BODGTP \
  | 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: c4a1de54f523260eba5cefabb0b8669bdba66f07b7a47175c09f6cbf70715900

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8efa45b5b20337e57f29089aeb2ffe15f35f318dbd011a04f913e78e490dddc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-04T22:57:32Z",
    "title_canon_sha256": "ad45f59fb66794fbbf2ebb48785887095c1bcb7f559ae95031c01a56e1ad5d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1580",
    "kind": "arxiv",
    "version": 2
  }
}