Pith Number

pith:AIXJNU5N

pith:2017:AIXJNU5NMARJCJKAARHY3N7D5Q

not attested not anchored not stored refs pending

Proper Bayes and Minimax Predictive Densities for a Matrix-variate Normal Distribution

Hisayuki Tsukuma, Tatsuya Kubokawa

arxiv:1703.10393 v2 · 2017-03-30 · 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{AIXJNU5NMARJCJKAARHY3N7D5Q}

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	2026-05-18T00:47:33.175861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

022e96d3ad6022912540044f8db7e3ec09f3640a9ce778d3821249bcdeea73e2

Aliases

arxiv: 1703.10393 · arxiv_version: 1703.10393v2 · doi: 10.48550/arxiv.1703.10393 · pith_short_12: AIXJNU5NMARJ · pith_short_16: AIXJNU5NMARJCJKA · pith_short_8: AIXJNU5N

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/AIXJNU5NMARJCJKAARHY3N7D5Q \
  | 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: 022e96d3ad6022912540044f8db7e3ec09f3640a9ce778d3821249bcdeea73e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeef51453bc9c2d717e37d763d940e16b10e822379a049143cf08de3cb0423f5",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-03-30T10:35:42Z",
    "title_canon_sha256": "ed32b0e48f540b77621cce32c2822042917bf923e0d1c5df119c8e665c5874fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10393",
    "kind": "arxiv",
    "version": 2
  }
}