Pith Number

pith:ID6ZOBVH

pith:2013:ID6ZOBVH3VLMZA775M26JABJ2F

not attested not anchored not stored refs pending

Edgeworth expansion for the integrated Levy driven Ornstein-Uhlenbeck process

Hiroki Masuda, nakahiro yoshida

arxiv:1304.2456 v1 · 2013-04-09 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ID6ZOBVH3VLMZA775M26JABJ2F}

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	2026-05-18T03:28:31.964502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40fd9706a7dd56cc83ffeb35e48029d170626b2aef33cf2567c190306f46f1cc

Aliases

arxiv: 1304.2456 · arxiv_version: 1304.2456v1 · doi: 10.48550/arxiv.1304.2456 · pith_short_12: ID6ZOBVH3VLM · pith_short_16: ID6ZOBVH3VLMZA77 · pith_short_8: ID6ZOBVH

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/ID6ZOBVH3VLMZA775M26JABJ2F \
  | 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: 40fd9706a7dd56cc83ffeb35e48029d170626b2aef33cf2567c190306f46f1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69980268f11c302aa15a4eea9f9c5e853557095a29ae1fbef50874197a681d04",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-09T04:51:15Z",
    "title_canon_sha256": "7d4b68b18f44f39f871ba6d4565dc440744b54294a43f1bb03a896aefd6699b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2456",
    "kind": "arxiv",
    "version": 1
  }
}