Pith Number

pith:7JPR5K7G

pith:2012:7JPR5K7GYRK5HX6GGHU4IYORZG

not attested not anchored not stored refs pending

Efficient computation with a linear mixed model on large-scale data sets with applications to genetic studies

Chris C. A. Spencer, Matti Pirinen, Peter Donnelly

arxiv:1207.4886 v2 · 2012-07-20 · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JPR5K7GYRK5HX6GGHU4IYORZG}

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	2026-05-18T03:27:23.088932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa5f1eabe6c455d3dfc631e9c461d1c9878c761725aa842464f664d0a398de38

Aliases

arxiv: 1207.4886 · arxiv_version: 1207.4886v2 · doi: 10.48550/arxiv.1207.4886 · pith_short_12: 7JPR5K7GYRK5 · pith_short_16: 7JPR5K7GYRK5HX6G · pith_short_8: 7JPR5K7G

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/7JPR5K7GYRK5HX6GGHU4IYORZG \
  | 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: fa5f1eabe6c455d3dfc631e9c461d1c9878c761725aa842464f664d0a398de38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f725b35a98de2e5363728a77f0b04e9f483a15e829bd5fe5efde9e6f410434b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2012-07-20T09:21:54Z",
    "title_canon_sha256": "b10c2bfc3f93a8ed3f9aa60cb86c8aaf3d8fa868962cd2b4622755aac73745b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4886",
    "kind": "arxiv",
    "version": 2
  }
}