Pith Number

pith:CBP3JSV6

pith:2012:CBP3JSV66AMFPAERQUZPDSYHQS

not attested not anchored not stored refs pending

Precise asymptotic approximations for the kernels corresponding to the L\'evy processes

Minsuk Yang, Sihun Jo

arxiv:1209.5692 v2 · 2012-09-25 · 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{CBP3JSV66AMFPAERQUZPDSYHQS}

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	2026-05-18T01:13:00.467280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105fb4cabef0185780918532f1cb0784b7d93e118551b098f20450e401e651a4

Aliases

arxiv: 1209.5692 · arxiv_version: 1209.5692v2 · doi: 10.48550/arxiv.1209.5692 · pith_short_12: CBP3JSV66AMF · pith_short_16: CBP3JSV66AMFPAER · pith_short_8: CBP3JSV6

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/CBP3JSV66AMFPAERQUZPDSYHQS \
  | 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: 105fb4cabef0185780918532f1cb0784b7d93e118551b098f20450e401e651a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f46d9f067d9758dde8709f1ab20631a87815b091803e71c2addbab44c93b0ea7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-25T17:25:39Z",
    "title_canon_sha256": "eb890e7d9e8fbd68ff818de598d51b1d0b16b92fd689dea5b85ddb053a822c06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5692",
    "kind": "arxiv",
    "version": 2
  }
}