Pith Number

pith:5W3EKF3U

pith:2022:5W3EKF3UTODKSWVWJHQTBCABWT

not attested not anchored not stored refs pending

Multiple testing under negative dependence

Aaditya Ramdas, Ruodu Wang, Ziyu Chi

arxiv:2212.09706 v4 · 2022-12-19 · math.ST · math.PR · stat.ME · 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{5W3EKF3UTODKSWVWJHQTBCABWT}

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.

Cited by

1 paper in Pith

Betting on Bets: Anytime-Valid Tests for Stochastic Dominance

Receipt and verification

First computed	2026-07-05T08:17:08.731902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edb64517749b86a95ab649e1308801b4cb04dfe47ba32c3fc69e79cc1d9f2c51

Aliases

arxiv: 2212.09706 · arxiv_version: 2212.09706v4 · doi: 10.48550/arxiv.2212.09706 · pith_short_12: 5W3EKF3UTODK · pith_short_16: 5W3EKF3UTODKSWVW · pith_short_8: 5W3EKF3U

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/5W3EKF3UTODKSWVWJHQTBCABWT \
  | 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: edb64517749b86a95ab649e1308801b4cb04dfe47ba32c3fc69e79cc1d9f2c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a55a9c87b9e60d1d37b5a024aa5e5516e0fd3975cf4d259d0924008133205335",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-12-19T18:34:22Z",
    "title_canon_sha256": "71a162f6cd9988f4427a140c1f6d5887d1d71aafc3f116fb3173e668933e5dfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.09706",
    "kind": "arxiv",
    "version": 4
  }
}