Pith Number

pith:NDEW6ELY

pith:2015:NDEW6ELYJ6M3ENJ4Q2VHFBM7S3

not attested not anchored not stored refs pending

Sharp minimax tests for large Toeplitz covariance matrices with repeated observations

Cristina Butucea, Rania Zgheib

arxiv:1506.01557 v1 · 2015-06-04 · 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{NDEW6ELYJ6M3ENJ4Q2VHFBM7S3}

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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	2026-05-18T01:57:18.561290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c96f11784f99b2353c86aa72859f96ec68ded2e8a4bfe8e5a045cfab673ea9

Aliases

arxiv: 1506.01557 · arxiv_version: 1506.01557v1 · doi: 10.48550/arxiv.1506.01557 · pith_short_12: NDEW6ELYJ6M3 · pith_short_16: NDEW6ELYJ6M3ENJ4 · pith_short_8: NDEW6ELY

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/NDEW6ELYJ6M3ENJ4Q2VHFBM7S3 \
  | 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: 68c96f11784f99b2353c86aa72859f96ec68ded2e8a4bfe8e5a045cfab673ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcddc0837dd46cec064bb91cc24ae3a3bd158e753639eda4d463c00cb336c263",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-06-04T12:04:59Z",
    "title_canon_sha256": "3bd6c0a4d785e8ccece91dc8f8b1f5fa54f8f4f9b6a1b539b45f039f52c7a240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01557",
    "kind": "arxiv",
    "version": 1
  }
}