Pith Number

pith:3SPQ3TU7

pith:2012:3SPQ3TU7DTXPWMJRXKDTSUVFHD

not attested not anchored not stored refs pending

Estimating Sparse Precision Matrix: Optimal Rates of Convergence and Adaptive Estimation

Harrison H. Zhou, T. Tony Cai, Weidong Liu

arxiv:1212.2882 v1 · 2012-12-12 · math.ST · stat.ME · 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{3SPQ3TU7DTXPWMJRXKDTSUVFHD}

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	2026-05-18T03:38:35.057668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc9f0dce9f1ceefb3131ba873952a538fccec7abff321e78c22a2aaf2b18e2c9

Aliases

arxiv: 1212.2882 · arxiv_version: 1212.2882v1 · doi: 10.48550/arxiv.1212.2882 · pith_short_12: 3SPQ3TU7DTXP · pith_short_16: 3SPQ3TU7DTXPWMJR · pith_short_8: 3SPQ3TU7

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/3SPQ3TU7DTXPWMJRXKDTSUVFHD \
  | 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: dc9f0dce9f1ceefb3131ba873952a538fccec7abff321e78c22a2aaf2b18e2c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2906521d27d69323e024baf1c2828f5257feb4ee74864b5a879a3bf38b50b0a5",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-12-12T16:56:25Z",
    "title_canon_sha256": "5555a5bf8ebd4a23ddd7a7d939e5fa96338e4a0ec274a9d4ea2a997706b1e417"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2882",
    "kind": "arxiv",
    "version": 1
  }
}