Pith Number

pith:YD6PRUVU

pith:2015:YD6PRUVUECGXS2VI2R35ZDSL5E

not attested not anchored not stored refs pending

Chi-Square Mixture Representations for the Distribution of the Scalar Schur Complement in a Noncentral Wishart Matrix

Akimichi Takemura, Constantin Siriteanu, Donald Richards, Satoshi Kuriki

arxiv:1512.08159 v1 · 2015-12-27 · 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{YD6PRUVUECGXS2VI2R35ZDSL5E}

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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	2026-05-18T01:14:17.513730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0fcf8d2b4208d796aa8d477dc8e4be91a6f38f3e899c0955477c7d920980764

Aliases

arxiv: 1512.08159 · arxiv_version: 1512.08159v1 · doi: 10.48550/arxiv.1512.08159 · pith_short_12: YD6PRUVUECGX · pith_short_16: YD6PRUVUECGXS2VI · pith_short_8: YD6PRUVU

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/YD6PRUVUECGXS2VI2R35ZDSL5E \
  | 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: c0fcf8d2b4208d796aa8d477dc8e4be91a6f38f3e899c0955477c7d920980764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dec150b05ea563b201311d50e3c995b5cd4b8a10a52457754e0b3b02e82c8b14",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-12-27T01:17:49Z",
    "title_canon_sha256": "52909944941b9c8179ce933fb67741a6897f71069d73cfa3f1164ac49cf2e987"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08159",
    "kind": "arxiv",
    "version": 1
  }
}