Pith Number

pith:73ZF4P4I

pith:2010:73ZF4P4IO7H7UOMTPVE3ATQ5KI

not attested not anchored not stored refs pending

Estimating False Discovery Proportion Under Arbitrary Covariance Dependence

Jianqing Fan, Weijie Gu, Xu Han

arxiv:1010.6056 v2 · 2010-10-28 · stat.ME · 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{73ZF4P4IO7H7UOMTPVE3ATQ5KI}

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	2026-05-18T04:08:22.349188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fef25e3f8877cffa39937d49b04e1d5210045291c67c4c78d79c570ea96c1059

Aliases

arxiv: 1010.6056 · arxiv_version: 1010.6056v2 · doi: 10.48550/arxiv.1010.6056 · pith_short_12: 73ZF4P4IO7H7 · pith_short_16: 73ZF4P4IO7H7UOMT · pith_short_8: 73ZF4P4I

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/73ZF4P4IO7H7UOMTPVE3ATQ5KI \
  | 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: fef25e3f8877cffa39937d49b04e1d5210045291c67c4c78d79c570ea96c1059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e9df08a7ae1622e02676161856976e68e1ae5887f4d69045ae874911db69ae",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2010-10-28T19:11:55Z",
    "title_canon_sha256": "431ae75570fe065ce5bce3f451fc7710335bc4fe080485f35a73c3a8377f372c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6056",
    "kind": "arxiv",
    "version": 2
  }
}