Pith Number

pith:JW3MH4HY

pith:2016:JW3MH4HYM4ZS5GGYGKTGUSM4I4

not attested not anchored not stored refs pending

Bounds on the prediction error of penalized least squares estimators with convex penalty

Alexandre B. Tsybakov, Pierre C. Bellec

arxiv:1609.06675 v1 · 2016-09-21 · 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{JW3MH4HYM4ZS5GGYGKTGUSM4I4}

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	2026-05-18T01:04:06.219193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db6c3f0f867332e98d832a66a499c470869e1a8e95fd151da85809f3000ee3e

Aliases

arxiv: 1609.06675 · arxiv_version: 1609.06675v1 · doi: 10.48550/arxiv.1609.06675 · pith_short_12: JW3MH4HYM4ZS · pith_short_16: JW3MH4HYM4ZS5GGY · pith_short_8: JW3MH4HY

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/JW3MH4HYM4ZS5GGYGKTGUSM4I4 \
  | 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: 4db6c3f0f867332e98d832a66a499c470869e1a8e95fd151da85809f3000ee3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2caa9ec2ca93b4683f16b274e2e81d61e03a953f7e1a03bfccc1e9eb31b3601c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-09-21T18:44:30Z",
    "title_canon_sha256": "fa3211218899b0687ce680e91cdae09a403afd04a974b96d03b6ad54d70a0b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06675",
    "kind": "arxiv",
    "version": 1
  }
}