Pith Number

pith:X4RHNC7A

pith:2006:X4RHNC7AZ4IM2Y6UCHPN7V2PWO

not attested not anchored not stored refs pending

Classification with Minimax Fast Rates for Classes of Bayes Rules with Sparse Representation

Guillaume Lecu\'e (PMA)

arxiv:math/0607439 v1 · 2006-07-18 · 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{X4RHNC7AZ4IM2Y6UCHPN7V2PWO}

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	2026-05-18T01:08:50.011423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf22768be0cf10cd63d411dedfd74fb3bfb26aa8b1091b6a2bad603cc37fb931

Aliases

arxiv: math/0607439 · arxiv_version: math/0607439v1 · doi: 10.48550/arxiv.math/0607439 · pith_short_12: X4RHNC7AZ4IM · pith_short_16: X4RHNC7AZ4IM2Y6U · pith_short_8: X4RHNC7A

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/X4RHNC7AZ4IM2Y6UCHPN7V2PWO \
  | 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: bf22768be0cf10cd63d411dedfd74fb3bfb26aa8b1091b6a2bad603cc37fb931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aaa251c586760baaf32d20708806ba577888dc739ec7479097769413f96e29b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-07-18T20:35:26Z",
    "title_canon_sha256": "53bdebbb00950106ccda8fa367e3487f15fbe7ca853c017a1016803eb0e7baf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607439",
    "kind": "arxiv",
    "version": 1
  }
}