Pith Number

pith:EV2LCB7I

pith:2015:EV2LCB7IYIFVF6T46WGMIKS3F3

not attested not anchored not stored refs pending

Cumulants of products of Normally distributed random variables

Clarence Kalitsi, Jan Vrbik

arxiv:1506.05319 v1 · 2015-06-17 · 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{EV2LCB7IYIFVF6T46WGMIKS3F3}

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	2026-05-18T01:46:12.519578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2574b107e8c20b52fa7cf58cc42a5b2ec188d23765da109c417f35fd1f8573c9

Aliases

arxiv: 1506.05319 · arxiv_version: 1506.05319v1 · doi: 10.48550/arxiv.1506.05319 · pith_short_12: EV2LCB7IYIFV · pith_short_16: EV2LCB7IYIFVF6T4 · pith_short_8: EV2LCB7I

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/EV2LCB7IYIFVF6T46WGMIKS3F3 \
  | 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: 2574b107e8c20b52fa7cf58cc42a5b2ec188d23765da109c417f35fd1f8573c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65926091ebd7610e67e215bbb746675b177cca799f0547f693add8e4effa3ecc",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-06-17T13:17:33Z",
    "title_canon_sha256": "dd1070641ab5789f7b085bb72e3f3a83e3af37c2d765a2a5254c0e8d4eee704b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05319",
    "kind": "arxiv",
    "version": 1
  }
}