Pith Number

pith:QZX36IYK

pith:2012:QZX36IYKEIM3JUMOKQYTA7MLZX

not attested not anchored not stored refs pending

Saddlepoint approximations for likelihood ratio like statistics with applications to permutation tests

John Kolassa, John Robinson

arxiv:1203.3106 v1 · 2012-03-14 · 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{QZX36IYKEIM3JUMOKQYTA7MLZX}

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	2026-05-18T04:00:03.324310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

866fbf230a2219b4d18e5431307d8bcdddbf4342c9775295d916313860364315

Aliases

arxiv: 1203.3106 · arxiv_version: 1203.3106v1 · doi: 10.48550/arxiv.1203.3106 · pith_short_12: QZX36IYKEIM3 · pith_short_16: QZX36IYKEIM3JUMO · pith_short_8: QZX36IYK

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/QZX36IYKEIM3JUMOKQYTA7MLZX \
  | 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: 866fbf230a2219b4d18e5431307d8bcdddbf4342c9775295d916313860364315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fd9c5ede10670275bcf00eb89a2ea1c5caeb59a8ab6f3fd98301c7c03636b70",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-03-14T14:56:47Z",
    "title_canon_sha256": "3d441493369697a0772363645ba69831be536eebfe568f02333498d2c5a26c11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3106",
    "kind": "arxiv",
    "version": 1
  }
}