pith. sign in
Pith Number

pith:HUGXYP7N

pith:2012:HUGXYP7N6IO5D7OIJLK4UCKQ7W
not attested not anchored not stored refs pending

MMANOVA: A general multilevel framework for multivariate analysis of variance

Reinhard Furrer, Stephan R. Sain, Steven Geinitz

arxiv:1207.2338 v2 · 2012-07-10 · stat.ME

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HUGXYP7N6IO5D7OIJLK4UCKQ7W}

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 2026-05-18T03:51:01.494130Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3d0d7c3fedf21dd1fdc84ad5ca0950fd8c073081176b7be7253b0f25b4eba17d

Aliases

arxiv: 1207.2338 · arxiv_version: 1207.2338v2 · doi: 10.48550/arxiv.1207.2338 · pith_short_12: HUGXYP7N6IO5 · pith_short_16: HUGXYP7N6IO5D7OI · pith_short_8: HUGXYP7N
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HUGXYP7N6IO5D7OIJLK4UCKQ7W \
  | 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: 3d0d7c3fedf21dd1fdc84ad5ca0950fd8c073081176b7be7253b0f25b4eba17d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c4a59976375d3e12c4ccbbb9a648c476127546b1f48c96fd3fc8007cc97e4ba1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2012-07-10T13:20:35Z",
    "title_canon_sha256": "15bf00169c539d1ca77411b7f8c9cd936d1852be0d595e9201f9895ffc0b41f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2338",
    "kind": "arxiv",
    "version": 2
  }
}