Pith Number

pith:GK4ML5QI

pith:2016:GK4ML5QIARF6FC5XCIX5TLJWPI

not attested not anchored not stored refs pending

On Randomization-based and Regression-based Inferences for 2^K Factorial Designs

Jiannan Lu

arxiv:1602.03972 v1 · 2016-02-12 · 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{GK4ML5QIARF6FC5XCIX5TLJWPI}

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	2026-05-18T01:20:55.018419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b8c5f608044be28bb7122fd9ad367a2355375519520103764df88337c2cd52

Aliases

arxiv: 1602.03972 · arxiv_version: 1602.03972v1 · doi: 10.48550/arxiv.1602.03972 · pith_short_12: GK4ML5QIARF6 · pith_short_16: GK4ML5QIARF6FC5X · pith_short_8: GK4ML5QI

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/GK4ML5QIARF6FC5XCIX5TLJWPI \
  | 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: 32b8c5f608044be28bb7122fd9ad367a2355375519520103764df88337c2cd52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85b76153864a00fc13df1d017b793795f41bdeb7a6e0c345bedde1baac2a2a85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-02-12T07:44:20Z",
    "title_canon_sha256": "dc7b5dab81584f6ccfc07245f86476fa8e93e4fd9f933373f6c74e569181fe34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03972",
    "kind": "arxiv",
    "version": 1
  }
}