Pith Number

pith:PHSLMH3I

pith:2018:PHSLMH3IJ47AFTWXORQMF3BKS5

not attested not anchored not stored refs pending

Essential formulae for restricted maximum likelihood and its derivatives associated with the linear mixed models

Andrew J Wathen, Shengxin Zhu

arxiv:1805.05188 v1 · 2018-05-11 · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHSLMH3IJ47AFTWXORQMF3BKS5}

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.

Cited by

1 paper in Pith

An analysis on stochastic Lanczos quadrature with asymmetric quadrature nodes

Receipt and verification

First computed	2026-05-18T00:16:03.718262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e4b61f684f3e02ced77460c2ec2a9778ff0fbca3e80c55e3eb2f5457fb1791

Aliases

arxiv: 1805.05188 · arxiv_version: 1805.05188v1 · doi: 10.48550/arxiv.1805.05188 · pith_short_12: PHSLMH3IJ47A · pith_short_16: PHSLMH3IJ47AFTWX · pith_short_8: PHSLMH3I

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/PHSLMH3IJ47AFTWXORQMF3BKS5 \
  | 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: 79e4b61f684f3e02ced77460c2ec2a9778ff0fbca3e80c55e3eb2f5457fb1791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2a6ae02c0e021915ea284529b279e3e4209cc7abce830612388e162765810c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2018-05-11T03:59:11Z",
    "title_canon_sha256": "46da4a71e074b57238e47b226e88bd6328bad25ede2c142004f5dd3a4b4af191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05188",
    "kind": "arxiv",
    "version": 1
  }
}