Pith Number

pith:F4VKULZC

pith:2017:F4VKULZC5PBLNWBIK7L3EBO4K4

not attested not anchored not stored refs pending

On Minimax Optimality of Sparse Bayes Predictive Density Estimates

Gourab Mukherjee, Iain M. Johnstone

arxiv:1707.04380 v2 · 2017-07-14 · 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{F4VKULZC5PBLNWBIK7L3EBO4K4}

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	2026-05-18T00:39:11.850100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2aaa2f22ebc2b6d82857d7b205dc57302d763f2424d5af0acfae8f156f54ef

Aliases

arxiv: 1707.04380 · arxiv_version: 1707.04380v2 · doi: 10.48550/arxiv.1707.04380 · pith_short_12: F4VKULZC5PBL · pith_short_16: F4VKULZC5PBLNWBI · pith_short_8: F4VKULZC

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/F4VKULZC5PBLNWBIK7L3EBO4K4 \
  | 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: 2f2aaa2f22ebc2b6d82857d7b205dc57302d763f2424d5af0acfae8f156f54ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9b515cb2994b25fbb55549ca87eb82ee9125bae55e49370d3e542f8e9b63778",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-07-14T04:49:54Z",
    "title_canon_sha256": "dbe15629a369ff26997576b75c71589d6b0dff99f349696aef25f1b283af3117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04380",
    "kind": "arxiv",
    "version": 2
  }
}