Pith Number

pith:B6UXPWV2

pith:2008:B6UXPWV2QRT45IMH5NWQEHG2OG

not attested not anchored not stored refs pending

A calculus on L\'evy exponents and selfdecomposability on Banach spaces

Zbigniew J. Jurek

arxiv:0811.3752 v1 · 2008-11-23 · 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{B6UXPWV2QRT45IMH5NWQEHG2OG}

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	2026-05-18T04:40:57.433384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fa977daba8467cea187eb6d021cda71851b2bdb4aee001fea99cc08d5e291a9

Aliases

arxiv: 0811.3752 · arxiv_version: 0811.3752v1 · doi: 10.48550/arxiv.0811.3752 · pith_short_12: B6UXPWV2QRT4 · pith_short_16: B6UXPWV2QRT45IMH · pith_short_8: B6UXPWV2

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/B6UXPWV2QRT45IMH5NWQEHG2OG \
  | 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: 0fa977daba8467cea187eb6d021cda71851b2bdb4aee001fea99cc08d5e291a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c992db7577034e910c8490cfad0ec29c992392dcf6cfafd86bf1048c94084deb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-11-23T15:32:52Z",
    "title_canon_sha256": "9133930d8b8416a6b5514acabac2cf2ef7a845dcc51d52b2841ed7d6b68ff379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3752",
    "kind": "arxiv",
    "version": 1
  }
}