Pith Number

pith:XCIGPPUA

pith:2007:XCIGPPUAJMUO2QBFH4NFBOQUOK

not attested not anchored not stored refs pending

Ratios: A short guide to confidence limits and proper use

Volker H. Franz

arxiv:0710.2024 v1 · 2007-10-10 · stat.AP · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCIGPPUAJMUO2QBFH4NFBOQUOK}

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

Sample size calculations for the experimental comparison of multiple algorithms on multiple problem instances

Receipt and verification

First computed	2026-07-04T15:04:49.754499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b89067be804b28ed40253f1a50ba1472b73a3608452ace1e65435cd89e8e6ab3

Aliases

arxiv: 0710.2024 · arxiv_version: 0710.2024v1 · doi: 10.48550/arxiv.0710.2024 · pith_short_12: XCIGPPUAJMUO · pith_short_16: XCIGPPUAJMUO2QBF · pith_short_8: XCIGPPUA

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/XCIGPPUAJMUO2QBFH4NFBOQUOK \
  | 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: b89067be804b28ed40253f1a50ba1472b73a3608452ace1e65435cd89e8e6ab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b5c5869622159f2f423bffeaffcb4ce5536a7d2af20ae81e003ef19b184d22d",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "",
    "primary_cat": "stat.AP",
    "submitted_at": "2007-10-10T14:46:48Z",
    "title_canon_sha256": "1983637e306b0914b65a4fe0144a91db7976cfd5aedfe4b465ef5dc1c38b452e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2024",
    "kind": "arxiv",
    "version": 1
  }
}