pith. sign in
Pith Number

pith:64UNXUCK

pith:2013:64UNXUCK6SRIM77NN2APBEUAQV
not attested not anchored not stored refs pending

A comparison of efficient permutation tests for unbalanced ANOVA in two by two designs--and their behavior under heteroscedasticity

Frank Konietschke, Luigi Salmaso, Sonja Hahn

arxiv:1309.7781 v1 · 2013-09-30 · stat.ME

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{64UNXUCK6SRIM77NN2APBEUAQV}

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 2026-05-18T03:11:48.287830Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f728dbd04af4a2867fed6e80f092808579bddfdb1d0dd05a8a3905dcce7ddcd0

Aliases

arxiv: 1309.7781 · arxiv_version: 1309.7781v1 · doi: 10.48550/arxiv.1309.7781 · pith_short_12: 64UNXUCK6SRI · pith_short_16: 64UNXUCK6SRIM77N · pith_short_8: 64UNXUCK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/64UNXUCK6SRIM77NN2APBEUAQV \
  | 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: f728dbd04af4a2867fed6e80f092808579bddfdb1d0dd05a8a3905dcce7ddcd0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6c1feb6ff2375a7dba2485086d46536c5ffafb9ed942db3ed36bd00eff4e4301",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2013-09-30T10:07:24Z",
    "title_canon_sha256": "4ea8432c11ce0f56dbe17b1510105a008164074bb8ba822fd6aa65f65a4d6030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7781",
    "kind": "arxiv",
    "version": 1
  }
}