Pith Number

pith:VDA63DTE

pith:2008:VDA63DTEFXFRUPXKPAEYH3POWL

not attested not anchored not stored refs pending

A New Framework of Multistage Hypothesis Tests

Xinjia Chen

arxiv:0809.3170 v25 · 2008-09-18 · math.ST · cs.LG · math.PR · 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{VDA63DTEFXFRUPXKPAEYH3POWL}

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	2026-05-18T03:08:15.101865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8c1ed8e642dcb1a3eea780983edeeb2c312a4e82423a614bb7ed111c492db93

Aliases

arxiv: 0809.3170 · arxiv_version: 0809.3170v25 · doi: 10.48550/arxiv.0809.3170 · pith_short_12: VDA63DTEFXFR · pith_short_16: VDA63DTEFXFRUPXK · pith_short_8: VDA63DTE

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/VDA63DTEFXFRUPXKPAEYH3POWL \
  | 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: a8c1ed8e642dcb1a3eea780983edeeb2c312a4e82423a614bb7ed111c492db93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf13d03f94859068f5f2f66f4c714e481555f5b1bc109716938826df7008c463",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2008-09-18T14:25:06Z",
    "title_canon_sha256": "f7b86c1ac59655c78bb452792cd72e8071448a5f2c065152c1076c7ec51ffafb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3170",
    "kind": "arxiv",
    "version": 25
  }
}