Pith Number

pith:MWJRSHGV

pith:2017:MWJRSHGVLGOJXQELUMUYOWGHPE

not attested not anchored not stored refs pending

Monte Carlo Estimation of the Density of the Sum of Dependent Random Variables

Patrick J. Laub, Robert Salomone, Zdravko I. Botev

arxiv:1711.11218 v2 · 2017-11-30 · math.ST · math.PR · 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{MWJRSHGVLGOJXQELUMUYOWGHPE}

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	2026-05-18T00:05:32.418135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6593191cd5599c9bc08ba3298758c77910996365c92539c7cf205f6b177ac833

Aliases

arxiv: 1711.11218 · arxiv_version: 1711.11218v2 · doi: 10.48550/arxiv.1711.11218 · pith_short_12: MWJRSHGVLGOJ · pith_short_16: MWJRSHGVLGOJXQEL · pith_short_8: MWJRSHGV

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/MWJRSHGVLGOJXQELUMUYOWGHPE \
  | 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: 6593191cd5599c9bc08ba3298758c77910996365c92539c7cf205f6b177ac833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72ebeac4619bd1afc556b9864df070ed08eb50619411a2b8da5a1951140bbc24",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-11-30T04:19:49Z",
    "title_canon_sha256": "590cb843682afba67eb81affbdc7f0453a2d945ee9bc2bce1a2e1876e953bda6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11218",
    "kind": "arxiv",
    "version": 2
  }
}