Pith Number

pith:HLWAQR5J

pith:2010:HLWAQR5JKAGRCPPNV2XWC6IRKX

not attested not anchored not stored refs pending

Simulated Power of Some Discrete Goodness-of-Fit Test Statistics For Testing the Null Hypothesis of a Zig-Zag Distribution

Clement Ampadu, Daniel Wang, Michael Steele

arxiv:1007.5109 v2 · 2010-07-29 · 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{HLWAQR5JKAGRCPPNV2XWC6IRKX}

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	2026-05-18T04:42:44.281461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aec0847a9500d113dedaeaf61791155cc18bd069e65245e958247e27930b91d

Aliases

arxiv: 1007.5109 · arxiv_version: 1007.5109v2 · doi: 10.48550/arxiv.1007.5109 · pith_short_12: HLWAQR5JKAGR · pith_short_16: HLWAQR5JKAGRCPPN · pith_short_8: HLWAQR5J

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/HLWAQR5JKAGRCPPNV2XWC6IRKX \
  | 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: 3aec0847a9500d113dedaeaf61791155cc18bd069e65245e958247e27930b91d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7e90881b936d53e4664f520c911551201a9943f98913ace6ee0e52f900aef5c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-07-29T05:06:21Z",
    "title_canon_sha256": "2827f765ea2a6cc066a3ec03656c4ad003c041bb31f175cd3a706809ac8f9eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5109",
    "kind": "arxiv",
    "version": 2
  }
}