Pith Number

pith:PLKOFI5G

pith:2011:PLKOFI5GTQ4KPTJXJZQBUQFYY6

not attested not anchored not stored refs pending

Testing the Equality of Covariance Operators in Functional Samples

Josef G. Steinebach, Lajos Horv\'ath, Piotr Kokoszka, Stefan Fremdt

arxiv:1104.4049 v2 · 2011-04-20 · stat.ME · 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{PLKOFI5GTQ4KPTJXJZQBUQFYY6}

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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	2026-05-18T02:22:01.814632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ad4e2a3a69c38a7cd374e601a40b8c797b3f18451da483a9b2cf46d2741d31e

Aliases

arxiv: 1104.4049 · arxiv_version: 1104.4049v2 · doi: 10.48550/arxiv.1104.4049 · pith_short_12: PLKOFI5GTQ4K · pith_short_16: PLKOFI5GTQ4KPTJX · pith_short_8: PLKOFI5G

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/PLKOFI5GTQ4KPTJXJZQBUQFYY6 \
  | 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: 7ad4e2a3a69c38a7cd374e601a40b8c797b3f18451da483a9b2cf46d2741d31e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26684282182bcf1c05aa5c832b674d1af4b824d632ee043a55af7126f2b9a60c",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2011-04-20T14:55:38Z",
    "title_canon_sha256": "fbad49d8a9ca718b0958aacb4595e2656df7ff429e9249e2ba7205720889f5a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4049",
    "kind": "arxiv",
    "version": 2
  }
}