Pith Number

pith:3ACLK6BS

pith:2015:3ACLK6BSO5MYPK7QHZXWFLSSQT

not attested not anchored not stored refs pending

Sharp oracle inequalities for Least Squares estimators in shape restricted regression

Pierre C. Bellec

arxiv:1510.08029 v3 · 2015-10-27 · 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{3ACLK6BSO5MYPK7QHZXWFLSSQT}

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	2026-05-18T01:09:42.080672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d804b57832775987abf03e6f62ae5284c16a8043ac8b37fa6db8d05f694df0f7

Aliases

arxiv: 1510.08029 · arxiv_version: 1510.08029v3 · doi: 10.48550/arxiv.1510.08029 · pith_short_12: 3ACLK6BSO5MY · pith_short_16: 3ACLK6BSO5MYPK7Q · pith_short_8: 3ACLK6BS

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/3ACLK6BSO5MYPK7QHZXWFLSSQT \
  | 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: d804b57832775987abf03e6f62ae5284c16a8043ac8b37fa6db8d05f694df0f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a18d0c440dd1a48bfc65f9b288c500aa7bb72c737303776e2b757d82ca056b82",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-10-27T18:55:32Z",
    "title_canon_sha256": "6e21d4f23c4c5e2367cf71a6604a62637fed48adbe7aa665ec1c6a8815ff8624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08029",
    "kind": "arxiv",
    "version": 3
  }
}