Pith Number

pith:AHGZEX5M

pith:2016:AHGZEX5MHUZBS6QWUOOSZM6SX6

not attested not anchored not stored refs pending

Closure properties of classes of multiple testing procedures

Georg Hahn

arxiv:1607.04327 v4 · 2016-07-14 · 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{AHGZEX5MHUZBS6QWUOOSZM6SX6}

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	2026-05-18T00:03:20.024043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01cd925fac3d32197a16a39d2cb3d2bfa29626c609ccc9e492f377c32fe337ea

Aliases

arxiv: 1607.04327 · arxiv_version: 1607.04327v4 · doi: 10.48550/arxiv.1607.04327 · pith_short_12: AHGZEX5MHUZB · pith_short_16: AHGZEX5MHUZBS6QW · pith_short_8: AHGZEX5M

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/AHGZEX5MHUZBS6QWUOOSZM6SX6 \
  | 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: 01cd925fac3d32197a16a39d2cb3d2bfa29626c609ccc9e492f377c32fe337ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e08115bdbc0640cb3063a5045817fb21714050179784cb772beff3461d6bdb9",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-07-14T21:28:09Z",
    "title_canon_sha256": "7c5c96b610384d3f2645010e2038145cb74a33735dc56d34aa5ea3dbe4ac6e84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04327",
    "kind": "arxiv",
    "version": 4
  }
}