Pith Number

pith:PU6537WM

pith:2012:PU6537WMAUW4BCPOFAEQIKZ35O

not attested not anchored not stored refs pending

The exact null distribution of the generalized Hollander-Proschan type test for NBUE alternatives

Kinjal Basu, M.Z. Anis

arxiv:1207.6763 v1 · 2012-07-29 · 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{PU6537WMAUW4BCPOFAEQIKZ35O}

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	2026-05-18T03:49:48.806048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d3dddfecc052dc089ee2809042b3bebb18061eb6b89be4964889008702d30f4

Aliases

arxiv: 1207.6763 · arxiv_version: 1207.6763v1 · doi: 10.48550/arxiv.1207.6763 · pith_short_12: PU6537WMAUW4 · pith_short_16: PU6537WMAUW4BCPO · pith_short_8: PU6537WM

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/PU6537WMAUW4BCPOFAEQIKZ35O \
  | 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: 7d3dddfecc052dc089ee2809042b3bebb18061eb6b89be4964889008702d30f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac32094758d44f9534ea4049204ab94a1ede14bc005870f7c8e95b319e78f0fc",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-07-29T10:22:07Z",
    "title_canon_sha256": "ae08666a9927542b071462bf79cf831df5220ba46d5817c6ff2fe673442b8b39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6763",
    "kind": "arxiv",
    "version": 1
  }
}