Pith Number

pith:EJRFBMR2

pith:2012:EJRFBMR2IYROJ3R3H5G35UMQT2

not attested not anchored not stored refs pending

Approximation to Distribution of Product of Random Variables Using Orthogonal Polynomials for Lognormal Density

Jyri H\"am\"al\"ainen, Lu wei, Olav Tirkkonen, Zhong Zheng

arxiv:1203.3288 v2 · 2012-03-15 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJRFBMR2IYROJ3R3H5G35UMQT2}

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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	2026-05-18T00:58:18.415171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

226250b23a4622e4ee3b3f4dbed1909e898b81273564eb896b40bf9fee3b04a0

Aliases

arxiv: 1203.3288 · arxiv_version: 1203.3288v2 · doi: 10.48550/arxiv.1203.3288 · pith_short_12: EJRFBMR2IYRO · pith_short_16: EJRFBMR2IYROJ3R3 · pith_short_8: EJRFBMR2

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/EJRFBMR2IYROJ3R3H5G35UMQT2 \
  | 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: 226250b23a4622e4ee3b3f4dbed1909e898b81273564eb896b40bf9fee3b04a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ba17df50fa6ce42bad68f8e085f3e9d65c96dec291681e1c10f41f51b08768",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-03-15T08:31:19Z",
    "title_canon_sha256": "7100cf856661dd2ccaa69c1e055064ca56d21b655cf80047ab35d55b89f98bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3288",
    "kind": "arxiv",
    "version": 2
  }
}