Pith Number

pith:47CYJOJK

pith:2012:47CYJOJKSVWWXQOBMALSD7QOMF

not attested not anchored not stored refs pending

On the within-family Kullback-Leibler risk in Gaussian Predictive models

Gourab Mukherjee, Iain M. Johnstone

arxiv:1212.0325 v1 · 2012-12-03 · 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{47CYJOJKSVWWXQOBMALSD7QOMF}

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	2026-05-18T03:39:17.872140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7c584b92a956d6bc1c1601721fe0e61752cd6e7de71f5c245ffd66688faa062

Aliases

arxiv: 1212.0325 · arxiv_version: 1212.0325v1 · doi: 10.48550/arxiv.1212.0325 · pith_short_12: 47CYJOJKSVWW · pith_short_16: 47CYJOJKSVWWXQOB · pith_short_8: 47CYJOJK

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/47CYJOJKSVWWXQOBMALSD7QOMF \
  | 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: e7c584b92a956d6bc1c1601721fe0e61752cd6e7de71f5c245ffd66688faa062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f968ace28fa14b66fa7c5318a24a3140248ff9d3286cfcd3a7e200e030008403",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-12-03T09:13:02Z",
    "title_canon_sha256": "8b61c2592f94478a0ab67cc1020c7e03a8b2667315c9aab02fa55d394e32a631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0325",
    "kind": "arxiv",
    "version": 1
  }
}