Pith Number

pith:DLB72EXR

pith:2011:DLB72EXRJX635X2CDESXLZCZMH

not attested not anchored not stored refs pending

A diffusion equation for the density of the ratio of two jointly distributed Gaussian variables and the numerical inversion of Laplace transform

Piero Barone

arxiv:1102.2354 v2 · 2011-02-11 · math.ST · math.NA · 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{DLB72EXRJX635X2CDESXLZCZMH}

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	2026-05-18T03:56:35.430117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ac3fd12f14dfdbedf42192575e45961ef87799a6cbc5c01970b918113aa666d

Aliases

arxiv: 1102.2354 · arxiv_version: 1102.2354v2 · doi: 10.48550/arxiv.1102.2354 · pith_short_12: DLB72EXRJX63 · pith_short_16: DLB72EXRJX635X2C · pith_short_8: DLB72EXR

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/DLB72EXRJX635X2CDESXLZCZMH \
  | 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: 1ac3fd12f14dfdbedf42192575e45961ef87799a6cbc5c01970b918113aa666d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4da49b0bb654ad7bee56b0ad8a5919601c52a24d1767b41a8d1eaeabf841116",
    "cross_cats_sorted": [
      "math.NA",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-02-11T14:23:35Z",
    "title_canon_sha256": "f47455480dde53b19f7ac8eb4062d10ef9479a1a325d9d74701b198a669b10d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2354",
    "kind": "arxiv",
    "version": 2
  }
}