Pith Number

pith:ESSQEWST

pith:2012:ESSQEWSTDT23HHCU3GZN2HJJT6

not attested not anchored not stored refs pending

On the sample covariance matrix estimator of reduced effective rank population matrices, with applications to fPCA

Florentina Bunea, Luo Xiao

arxiv:1212.5321 v4 · 2012-12-21 · math.ST · stat.ME · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESSQEWSTDT23HHCU3GZN2HJJT6}

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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	2026-05-18T01:59:59.180579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24a5025a531cf5b39c54d9b2dd1d299fb09a686b6ce95cb2c190220753153bef

Aliases

arxiv: 1212.5321 · arxiv_version: 1212.5321v4 · doi: 10.48550/arxiv.1212.5321 · pith_short_12: ESSQEWSTDT23 · pith_short_16: ESSQEWSTDT23HHCU · pith_short_8: ESSQEWST

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/ESSQEWSTDT23HHCU3GZN2HJJT6 \
  | 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: 24a5025a531cf5b39c54d9b2dd1d299fb09a686b6ce95cb2c190220753153bef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e82b1ff21d31130c56b4a207c456a2b8a587abe04e5801e618b91ee3c04976d2",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-12-21T03:13:35Z",
    "title_canon_sha256": "859f0d48dbe573fb2b24926d142afb56624f01e9ee4b91e35bd553617806733d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5321",
    "kind": "arxiv",
    "version": 4
  }
}