Pith Number

pith:OOW52RRU

pith:2010:OOW52RRUK6LI54JNGSYLPEMS2A

not attested not anchored not stored refs pending

Description of limits of ranges of iterations of stochastic integral mappings of infinitely divisible distributions

Ken-iti Sato

arxiv:1012.0093 v1 · 2010-12-01 · 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{OOW52RRUK6LI54JNGSYLPEMS2A}

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	2026-05-18T04:34:18.961372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73addd463457968ef12d34b0b79192d006c3be601b144adacaea09ef7eb859e0

Aliases

arxiv: 1012.0093 · arxiv_version: 1012.0093v1 · doi: 10.48550/arxiv.1012.0093 · pith_short_12: OOW52RRUK6LI · pith_short_16: OOW52RRUK6LI54JN · pith_short_8: OOW52RRU

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/OOW52RRUK6LI54JNGSYLPEMS2A \
  | 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: 73addd463457968ef12d34b0b79192d006c3be601b144adacaea09ef7eb859e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2449177f0401a78f55960e946e348a371ea844cf19d610030c00fc5bd3cb0dd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-01T04:45:31Z",
    "title_canon_sha256": "d8e345f9eef819fc43e4bdce0162f50b2d5ed66ea90c9b26b769f8b638bee099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0093",
    "kind": "arxiv",
    "version": 1
  }
}