Pith Number

pith:PTTYL5LF

pith:2025:PTTYL5LFMSDLPNFVHT4OQFDAY3

not attested not anchored not stored refs pending

On the Existence of Unbiased Hypothesis Tests: An Algebraic Approach

Andrew McCormack

arxiv:2506.08259 v1 · 2025-06-09 · math.ST · 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{PTTYL5LFMSDLPNFVHT4OQFDAY3}

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	2026-07-05T11:18:47.097402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce785f5656486b7b4b53cf8e81460c6e4a0466af98fada71cf8f8cb5ab2b236

Aliases

arxiv: 2506.08259 · arxiv_version: 2506.08259v1 · doi: 10.48550/arxiv.2506.08259 · pith_short_12: PTTYL5LFMSDL · pith_short_16: PTTYL5LFMSDLPNFV · pith_short_8: PTTYL5LF

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/PTTYL5LFMSDLPNFVHT4OQFDAY3 \
  | 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: 7ce785f5656486b7b4b53cf8e81460c6e4a0466af98fada71cf8f8cb5ab2b236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c5645f640f8968b6f6e0c9cd310aa12621740a455722763f73c05f0201d2c30",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-06-09T21:46:11Z",
    "title_canon_sha256": "94f28d905b3a60e066b9f466e2645160a21bd033e60a5018430b7b05ba3e3d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08259",
    "kind": "arxiv",
    "version": 1
  }
}