Pith Number

pith:6CLVJWKR

pith:2011:6CLVJWKR7KIYVPOXVKSXOT56BI

not attested not anchored not stored refs pending

Sharp oracle inequalities and slope heuristic for specification probabilities estimation in discrete random fields

Daniel Y. Takahashi, Matthieu Lerasle

arxiv:1106.2467 v2 · 2011-06-13 · 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{6CLVJWKR7KIYVPOXVKSXOT56BI}

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	2026-05-18T01:22:52.678498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f09754d951fa918abdd7aaa5774fbe0a11a9f0fe9bc900210eb6e28aaf6aa26a

Aliases

arxiv: 1106.2467 · arxiv_version: 1106.2467v2 · doi: 10.48550/arxiv.1106.2467 · pith_short_12: 6CLVJWKR7KIY · pith_short_16: 6CLVJWKR7KIYVPOX · pith_short_8: 6CLVJWKR

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/6CLVJWKR7KIYVPOXVKSXOT56BI \
  | 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: f09754d951fa918abdd7aaa5774fbe0a11a9f0fe9bc900210eb6e28aaf6aa26a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5750f4d057e3bd3363438546e0dc2490066a6c9f69845f4b8c2d697625c49cd",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-06-13T15:19:34Z",
    "title_canon_sha256": "9c145c596a79bf44cad62952dc8b00c8b8693584b4efeed90e0cc65ca880eb05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2467",
    "kind": "arxiv",
    "version": 2
  }
}