Pith Number

pith:EQXABPBW

pith:2024:EQXABPBWYTTOA4INYKLI6PLGD6

not attested not anchored not stored refs pending

Sharp variance estimator and causal bootstrap in stratified randomized experiments

Hanzhong Liu, Haoyang Yu, Ke Zhu

arxiv:2401.16667 v3 · 2024-01-30 · math.ST · stat.AP · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQXABPBWYTTOA4INYKLI6PLGD6}

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	2026-05-20T01:04:48.666686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

242e00bc36c4e6e0710dc2968f3d661f9c0f98ed76192c83ea8d40da9216993f

Aliases

arxiv: 2401.16667 · arxiv_version: 2401.16667v3 · doi: 10.48550/arxiv.2401.16667 · pith_short_12: EQXABPBWYTTO · pith_short_16: EQXABPBWYTTOA4IN · pith_short_8: EQXABPBW

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/EQXABPBWYTTOA4INYKLI6PLGD6 \
  | 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: 242e00bc36c4e6e0710dc2968f3d661f9c0f98ed76192c83ea8d40da9216993f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a49a91079afdc94649fc38d1957df4fbe96b6968c13992dd0c39c8044c6e1be",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-01-30T01:33:49Z",
    "title_canon_sha256": "fb0411fa29ace4988be8c6b1d466033ad6deef8cb69128e83256e30c76dec577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.16667",
    "kind": "arxiv",
    "version": 3
  }
}