Pith Number

pith:UCRKPPQN

pith:2016:UCRKPPQNVFXN4YMF5PJBJJELS2

not attested not anchored not stored refs pending

Closed-form REML estimators and sample size determination for mixed effects models for repeated measures under monotone missingness

Yongqiang Tang

arxiv:1611.00087 v2 · 2016-11-01 · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCRKPPQNVFXN4YMF5PJBJJELS2}

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	2026-05-18T00:43:09.093657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0a2a7be0da96ede6185ebd214a48b96848fddbc93cfc6a513d25c0e4be74c68

Aliases

arxiv: 1611.00087 · arxiv_version: 1611.00087v2 · doi: 10.48550/arxiv.1611.00087 · pith_short_12: UCRKPPQNVFXN · pith_short_16: UCRKPPQNVFXN4YMF · pith_short_8: UCRKPPQN

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/UCRKPPQNVFXN4YMF5PJBJJELS2 \
  | 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: a0a2a7be0da96ede6185ebd214a48b96848fddbc93cfc6a513d25c0e4be74c68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d8133eca92e206d2513d27cd4868e6b07c08073bbb76723014fea87ddba386",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-11-01T00:21:13Z",
    "title_canon_sha256": "35f7b9c232ad77ec22713b93a00e766bcee8258f3318d34a35cd29cab5defdf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00087",
    "kind": "arxiv",
    "version": 2
  }
}