Pith Number

pith:W6YF3ECG

pith:2026:W6YF3ECG6N5V2XNQEEOGIBZRN2

not attested not anchored not stored refs pending

Optimal e-values for testing the mean of a bounded random variable against a composite alternative

Eugenio Clerico, Sebastian Arnold

arxiv:2601.11347 v2 · 2026-01-16 · math.ST · stat.TH

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\usepackage{pith}
\pithnumber{W6YF3ECG6N5V2XNQEEOGIBZRN2}

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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

5 papers in Pith

Strong duality for the GROW criterion

Optimal Posterior E-values with Non-Convex Parameter Sets with Applications to Voting Systems

Power one sequential tests exist for weakly compact $\mathscr P$ against $\mathscr P^c$

The optimal betting wealth growth rate

Betting on Bets: Anytime-Valid Tests for Stochastic Dominance

Receipt and verification

First computed	2026-07-16T01:22:33.418296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b05d9046f37b5d5db0211c6407316e93565bdf2760ce8d210995339c52ae7e

Aliases

arxiv: 2601.11347 · arxiv_version: 2601.11347v2 · doi: 10.48550/arxiv.2601.11347 · pith_short_12: W6YF3ECG6N5V · pith_short_16: W6YF3ECG6N5V2XNQ · pith_short_8: W6YF3ECG

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/W6YF3ECG6N5V2XNQEEOGIBZRN2 \
  | 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: b7b05d9046f37b5d5db0211c6407316e93565bdf2760ce8d210995339c52ae7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5983a1a0b19850446e37067966a708f82fbc38ee292c8bc401bacbe3ef93b85d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-01-16T14:53:15Z",
    "title_canon_sha256": "6626c90fd83029cc8b09d5355e9646af7565d762440a2d4bed1aa653309b02d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.11347",
    "kind": "arxiv",
    "version": 2
  }
}