Pith Number

pith:PTIOGKOD

pith:2019:PTIOGKOD5OT42XEASIDIRB25OZ

not attested not anchored not stored refs pending

Unbiased Estimation of the Reciprocal Mean for Non-negative Random Variables

Dirk P. Kroese, Sandeep Juneja, Sarat Moka

arxiv:1907.01843 v1 · 2019-07-03 · 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{PTIOGKOD5OT42XEASIDIRB25OZ}

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	2026-05-17T23:41:34.846909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cd0e329c3eba7cd5c80920688875d765d85c523595b31243b424c1553e2e0c2

Aliases

arxiv: 1907.01843 · arxiv_version: 1907.01843v1 · doi: 10.48550/arxiv.1907.01843 · pith_short_12: PTIOGKOD5OT4 · pith_short_16: PTIOGKOD5OT42XEA · pith_short_8: PTIOGKOD

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/PTIOGKOD5OT42XEASIDIRB25OZ \
  | 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: 7cd0e329c3eba7cd5c80920688875d765d85c523595b31243b424c1553e2e0c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5da2d060f53d2f54c1763b379312e66b468abd04dc45a8512b8cf4fdb912fcf",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-07-03T10:41:08Z",
    "title_canon_sha256": "854ace87416da4be74eceafe5103ce1c01d54c659b5b63e473ad4a569bc52f99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01843",
    "kind": "arxiv",
    "version": 1
  }
}