Pith Number

pith:XAKPUM5Y

pith:2012:XAKPUM5YL3BM5NQLQTL2S77B56

not attested not anchored not stored refs pending

$\ell_0$-penalized maximum likelihood for sparse directed acyclic graphs

Peter B\"uhlmann, Sara van de Geer

arxiv:1205.5473 v2 · 2012-05-24 · 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{XAKPUM5YL3BM5NQLQTL2S77B56}

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	2026-05-18T03:26:10.393420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b814fa33b85ec2ceb60b84d7a97fe1ef848a60b2239369b1dbd22eb5753ef8e8

Aliases

arxiv: 1205.5473 · arxiv_version: 1205.5473v2 · doi: 10.48550/arxiv.1205.5473 · pith_short_12: XAKPUM5YL3BM · pith_short_16: XAKPUM5YL3BM5NQL · pith_short_8: XAKPUM5Y

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/XAKPUM5YL3BM5NQLQTL2S77B56 \
  | 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: b814fa33b85ec2ceb60b84d7a97fe1ef848a60b2239369b1dbd22eb5753ef8e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a4793b16b0d3cdd4b3c5e46a43ca66f30cacc9fdac93f93f202b0ec3c3c408c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-05-24T14:56:49Z",
    "title_canon_sha256": "04cf300817adf98908a1aa8b2f338ab5f52347b6e085bd59885354871d1b2dc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5473",
    "kind": "arxiv",
    "version": 2
  }
}