Pith Number

pith:63LN45Z5

pith:2013:63LN45Z5TZD6LPUE5UPCEKLISL

not attested not anchored not stored refs pending

Wald tests when restrictions are locally singular

Eric Renault, Jean-Marie Dufour, Victoria Zinde-Walsh

arxiv:1312.0569 v1 · 2013-12-02 · 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{63LN45Z5TZD6LPUE5UPCEKLISL}

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	2026-05-18T03:05:45.354255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6d6de773d9e47e5be84ed1e22296892f5a467222b58eb34e7d1c519d4550ba8

Aliases

arxiv: 1312.0569 · arxiv_version: 1312.0569v1 · doi: 10.48550/arxiv.1312.0569 · pith_short_12: 63LN45Z5TZD6 · pith_short_16: 63LN45Z5TZD6LPUE · pith_short_8: 63LN45Z5

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/63LN45Z5TZD6LPUE5UPCEKLISL \
  | 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: f6d6de773d9e47e5be84ed1e22296892f5a467222b58eb34e7d1c519d4550ba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37e729924ae4b65205318fe9c5650c97d8518ed25ff6f61657721ce4ce7bbaa2",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-02T19:57:14Z",
    "title_canon_sha256": "41b035e433912f22be5be9b05fdf0cd81a0a6bbbe7c3e5c5be8a06a16e0d333e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0569",
    "kind": "arxiv",
    "version": 1
  }
}