Pith Number

pith:JZAR5Y3F

pith:2012:JZAR5Y3FUP7BQHGHUWQTRKHIBF

not attested not anchored not stored refs pending

Minimax bounds for sparse PCA with noisy high-dimensional data

Aharon Birnbaum, Boaz Nadler, Debashis Paul, Iain M. Johnstone

arxiv:1203.0967 v1 · 2012-03-05 · 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{JZAR5Y3FUP7BQHGHUWQTRKHIBF}

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	2026-05-18T04:00:49.940637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e411ee365a3fe181cc7a5a138a8e809780da3705691f749e72efc223bb91969

Aliases

arxiv: 1203.0967 · arxiv_version: 1203.0967v1 · doi: 10.48550/arxiv.1203.0967 · pith_short_12: JZAR5Y3FUP7B · pith_short_16: JZAR5Y3FUP7BQHGH · pith_short_8: JZAR5Y3F

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/JZAR5Y3FUP7BQHGHUWQTRKHIBF \
  | 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: 4e411ee365a3fe181cc7a5a138a8e809780da3705691f749e72efc223bb91969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6956d920277f4ef2a996bf81df1278f22f7f968d67d1499b6facddaa81c72e27",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-03-05T16:56:55Z",
    "title_canon_sha256": "1834649d8b7ead75d841337523e09a16e63a9703134b97a2dce5a1cff785c871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0967",
    "kind": "arxiv",
    "version": 1
  }
}