Pith Number

pith:TXO2RJPJ

pith:2014:TXO2RJPJNTZGYNKMGXZGWIFL5Q

not attested not anchored not stored refs pending

Regularized Block Toeplitz Covariance Matrix Estimation via Kronecker Product Expansions

Alfred O. Hero III, Kristjan Greenewald

arxiv:1402.5568 v2 · 2014-02-23 · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXO2RJPJNTZGYNKMGXZGWIFL5Q}

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	2026-05-18T02:51:58.547748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ddda8a5e96cf26c354c35f26b20abec36f40b97cc5aa071d782d4542e73d9c6

Aliases

arxiv: 1402.5568 · arxiv_version: 1402.5568v2 · doi: 10.48550/arxiv.1402.5568 · pith_short_12: TXO2RJPJNTZG · pith_short_16: TXO2RJPJNTZGYNKM · pith_short_8: TXO2RJPJ

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/TXO2RJPJNTZGYNKMGXZGWIFL5Q \
  | 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: 9ddda8a5e96cf26c354c35f26b20abec36f40b97cc5aa071d782d4542e73d9c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e64096c551d5083ae4f1c01543f52d9b43774dd0ff3d189e58593b852f0d5367",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2014-02-23T01:15:50Z",
    "title_canon_sha256": "cee5971f80cacf967592ed95a1864b4e2b682df09c0d1a20c49d0dc4cdfabb59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5568",
    "kind": "arxiv",
    "version": 2
  }
}