Pith Number

pith:ODW6K2SM

pith:2021:ODW6K2SMR3TLCVNVU6S2ELY3KF

not attested not anchored not stored refs pending

Logical contradictions in the One-way ANOVA and Tukey-Kramer multiple comparisons tests with more than two groups of observations

Mariya Naumova, Vladimir Gurvich

arxiv:2104.07552 v2 · 2021-04-15 · math.ST · stat.ME · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODW6K2SMR3TLCVNVU6S2ELY3KF}

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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.

Cited by

1 paper in Pith

Local-available quantum correlation swapping in one-parameter X states

Receipt and verification

First computed	2026-07-05T02:42:30.177345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70ede56a4c8ee6b155b5a7a5a22f1b5144a99d54b3ebad8823404a9342bcd94a

Aliases

arxiv: 2104.07552 · arxiv_version: 2104.07552v2 · doi: 10.48550/arxiv.2104.07552 · pith_short_12: ODW6K2SMR3TL · pith_short_16: ODW6K2SMR3TLCVNV · pith_short_8: ODW6K2SM

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/ODW6K2SMR3TLCVNVU6S2ELY3KF \
  | 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: 70ede56a4c8ee6b155b5a7a5a22f1b5144a99d54b3ebad8823404a9342bcd94a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94925dd7f7f8dcb8eb0d8da6cb117b459f08df6888aca1868ff165c1aa9135e6",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-04-15T16:06:57Z",
    "title_canon_sha256": "1de2a4e431493a67428de1687ab75a1cb3c0e8af2c273ff3f2074c959f0577cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.07552",
    "kind": "arxiv",
    "version": 2
  }
}