Pith Number

pith:IXPDIZDM

pith:2026:IXPDIZDMS65JKHTR5YGT5K556I

not attested not anchored not stored refs pending

Why Empirical p-Values Are Not Uniform: Reference Samples, Dependence, and PIT Backtesting

Jakub Lis

arxiv:2605.16221 v1 · 2026-05-15 · stat.ME · stat.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXPDIZDMS65JKHTR5YGT5K556I}

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	2026-05-20T00:01:58.702990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45de34646c97ba951e71ee0d3eabbdf23030a24cdb042bf0dd564cfb37122038

Aliases

arxiv: 2605.16221 · arxiv_version: 2605.16221v1 · doi: 10.48550/arxiv.2605.16221 · pith_short_12: IXPDIZDMS65J · pith_short_16: IXPDIZDMS65JKHTR · pith_short_8: IXPDIZDM

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/IXPDIZDMS65JKHTR5YGT5K556I \
  | 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: 45de34646c97ba951e71ee0d3eabbdf23030a24cdb042bf0dd564cfb37122038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4076b2f44d5470d956c167ab7f8378379d4b6dc9a4078f9caa8153a9c56eb1fb",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-05-15T17:32:13Z",
    "title_canon_sha256": "deb7d8019870bc6aea5687078358407eff8beb41b668b227437213ebe438c27a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16221",
    "kind": "arxiv",
    "version": 1
  }
}