Pith Number

pith:ZHDBLXBF

pith:2023:ZHDBLXBF33P7FGSXNZ2EOXNRQA

not attested not anchored not stored refs pending

A unified framework for covariate adjustment under stratified randomization

Fuyi Tu, Hanzhong Liu, Wei Ma

arxiv:2312.01266 v1 · 2023-12-03 · stat.ME · math.ST · 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{ZHDBLXBF33P7FGSXNZ2EOXNRQA}

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.

Cited by

1 paper in Pith

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization

Receipt and verification

First computed	2026-07-05T07:19:32.004921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c615dc25dedff29a576e74475db1803a2c603f2cff5ec7f68c7b4fae2af69d

Aliases

arxiv: 2312.01266 · arxiv_version: 2312.01266v1 · doi: 10.48550/arxiv.2312.01266 · pith_short_12: ZHDBLXBF33P7 · pith_short_16: ZHDBLXBF33P7FGSX · pith_short_8: ZHDBLXBF

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/ZHDBLXBF33P7FGSXNZ2EOXNRQA \
  | 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: c9c615dc25dedff29a576e74475db1803a2c603f2cff5ec7f68c7b4fae2af69d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85564c765469be235cafbd3aec604dcd05e6bd92c6e6ca34e6f0dad819618683",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2023-12-03T03:20:39Z",
    "title_canon_sha256": "7407dc4d0727836edf8f1057dc04968509f6362baccbf7c764dc1a6ed029d268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.01266",
    "kind": "arxiv",
    "version": 1
  }
}