Pith Number

pith:E7JWB5OK

pith:2009:E7JWB5OKCYCDKTI3LWUGXVO4OD

not attested not anchored not stored refs pending

The Cramer-Rao Bound for Sparse Estimation

Yonina C. Eldar, Zvika Ben-Haim

arxiv:0905.4378 v4 · 2009-05-27 · math.ST · cs.IT · math.IT · 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{E7JWB5OKCYCDKTI3LWUGXVO4OD}

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	2026-07-04T15:51:58.743441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d360f5ca1604354d1b5da86bd5dc70cda3a52ada36d4e9baec8d6055e6c809

Aliases

arxiv: 0905.4378 · arxiv_version: 0905.4378v4 · doi: 10.48550/arxiv.0905.4378 · pith_short_12: E7JWB5OKCYCD · pith_short_16: E7JWB5OKCYCDKTI3 · pith_short_8: E7JWB5OK

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/E7JWB5OKCYCDKTI3LWUGXVO4OD \
  | 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: 27d360f5ca1604354d1b5da86bd5dc70cda3a52ada36d4e9baec8d6055e6c809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bb1112bb889cf1b0e17c43dc5527cd7ec98f32f556f5338f641798bdeeacb42",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2009-05-27T11:02:54Z",
    "title_canon_sha256": "1db0be9cd3345f09af4da83375d10f31e3cd492a544d28370df3058787ca5eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4378",
    "kind": "arxiv",
    "version": 4
  }
}