Pith Number

pith:ZPQ4PTYD

pith:2008:ZPQ4PTYD2QRT3CR67YIDSCA6MY

not attested not anchored not stored refs pending

Model selection for density estimation with L2-loss

Lucien Birg\'e

arxiv:0808.1416 v3 · 2008-08-10 · 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{ZPQ4PTYD2QRT3CR67YIDSCA6MY}

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	2026-05-18T03:36:05.273379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe1c7cf03d4233d8a3efe1039081e663d39911c682c9de00df0c2e7644d77a4

Aliases

arxiv: 0808.1416 · arxiv_version: 0808.1416v3 · doi: 10.48550/arxiv.0808.1416 · pith_short_12: ZPQ4PTYD2QRT · pith_short_16: ZPQ4PTYD2QRT3CR6 · pith_short_8: ZPQ4PTYD

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/ZPQ4PTYD2QRT3CR67YIDSCA6MY \
  | 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: cbe1c7cf03d4233d8a3efe1039081e663d39911c682c9de00df0c2e7644d77a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4da9aabb10ad67228aeadf284946dd0c32b099d77babb0c83e1b2de6194a8f4",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2008-08-10T17:22:38Z",
    "title_canon_sha256": "2e5bb8074bf3024d2db5768b515694178757b85f45b91d18aba203d74d9014b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1416",
    "kind": "arxiv",
    "version": 3
  }
}