Pith Number

pith:5Y5VTYXG

pith:2016:5Y5VTYXGZNXVFY2XYMUQHUELLN

not attested not anchored not stored refs pending

Covariate adjustment in randomization-based causal inference for 2K factorial designs

Jiannan Lu

arxiv:1606.05418 v2 · 2016-06-17 · 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{5Y5VTYXGZNXVFY2XYMUQHUELLN}

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	2026-05-18T01:11:09.906231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3b59e2e6cb6f52e357c32903d08b5b50fd8d60e5ae4cc8f32099b334c31dcb

Aliases

arxiv: 1606.05418 · arxiv_version: 1606.05418v2 · doi: 10.48550/arxiv.1606.05418 · pith_short_12: 5Y5VTYXGZNXV · pith_short_16: 5Y5VTYXGZNXVFY2X · pith_short_8: 5Y5VTYXG

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/5Y5VTYXGZNXVFY2XYMUQHUELLN \
  | 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: ee3b59e2e6cb6f52e357c32903d08b5b50fd8d60e5ae4cc8f32099b334c31dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fd21d36f31e2b3d7b549c38fcaee23b1c83977ce216a85ef09f54b48d177942",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-06-17T05:00:11Z",
    "title_canon_sha256": "12c59a6633ff05a66a007d39a7da5a42e3e007a7a36f660b770d8924c7024862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05418",
    "kind": "arxiv",
    "version": 2
  }
}