Pith Number

pith:W23AXCUN

pith:2013:W23AXCUNUG2C6WZ5GNDHBXMJQE

not attested not anchored not stored refs pending

Central Limit Theorems for Classical Likelihood Ratio Tests for High-Dimensional Normal Distributions

Fan Yang, Tiefeng Jiang

arxiv:1306.0254 v1 · 2013-06-02 · 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{W23AXCUNUG2C6WZ5GNDHBXMJQE}

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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	2026-05-18T03:21:55.681714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6b60b8a8da1b42f5b3d334670dd89813620cabe0de10d36f9eaf8e8e2477215

Aliases

arxiv: 1306.0254 · arxiv_version: 1306.0254v1 · doi: 10.48550/arxiv.1306.0254 · pith_short_12: W23AXCUNUG2C · pith_short_16: W23AXCUNUG2C6WZ5 · pith_short_8: W23AXCUN

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/W23AXCUNUG2C6WZ5GNDHBXMJQE \
  | 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: b6b60b8a8da1b42f5b3d334670dd89813620cabe0de10d36f9eaf8e8e2477215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "982310c478edce91dafd6b2b8463cee1b9388f98edc4da89fea5617ca3cb3703",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-06-02T22:25:28Z",
    "title_canon_sha256": "5556626bb7848d491e361afddd6d84449d2bfa65da900015a808407371da9cd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0254",
    "kind": "arxiv",
    "version": 1
  }
}