Pith Number

pith:5Q5G677Z

pith:2021:5Q5G677ZKXSQHZMCLCKFG3N4DE

not attested not anchored not stored refs pending

The equivalence of the Delta method and the cluster-robust variance estimator for the analysis of clustered randomized experiments

Alex Deng, Jiannan Lu, Wen Qin

arxiv:2105.14705 v1 · 2021-05-31 · 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{5Q5G677ZKXSQHZMCLCKFG3N4DE}

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	2026-07-05T02:44:40.534658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec3a6f7ff955e503e5825894536dbc1910d3a30bb283d6065a6099525ee8fe8a

Aliases

arxiv: 2105.14705 · arxiv_version: 2105.14705v1 · doi: 10.48550/arxiv.2105.14705 · pith_short_12: 5Q5G677ZKXSQ · pith_short_16: 5Q5G677ZKXSQHZMC · pith_short_8: 5Q5G677Z

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/5Q5G677ZKXSQHZMCLCKFG3N4DE \
  | 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: ec3a6f7ff955e503e5825894536dbc1910d3a30bb283d6065a6099525ee8fe8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ea0ff21701d46b642e19d51bcffa66bee3094ee34382fb031f6904309254ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2021-05-31T04:53:07Z",
    "title_canon_sha256": "483b6ce9746b64bf245a35dbab7bd75041febcdfc7ac68076ff6f6ac1bf1e993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.14705",
    "kind": "arxiv",
    "version": 1
  }
}