Pith Number

pith:NSBYEYOK

pith:2017:NSBYEYOKKHLDKKWG4ARGBJN3CL

not attested not anchored not stored refs pending

The stratified micro-randomized trial design: sample size considerations for testing nested causal effects of time-varying treatments

Peng Liao, Santosh Kumar, Susan A. Murphy, Walter Dempsey

arxiv:1711.03587 v1 · 2017-11-09 · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSBYEYOKKHLDKKWG4ARGBJN3CL}

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	2026-05-18T00:30:51.988040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c838261ca51d6352ac6e02260a5bb12e963f6b326d0699b796a90115ec5b8d4

Aliases

arxiv: 1711.03587 · arxiv_version: 1711.03587v1 · doi: 10.48550/arxiv.1711.03587 · pith_short_12: NSBYEYOKKHLD · pith_short_16: NSBYEYOKKHLDKKWG · pith_short_8: NSBYEYOK

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/NSBYEYOKKHLDKKWG4ARGBJN3CL \
  | 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: 6c838261ca51d6352ac6e02260a5bb12e963f6b326d0699b796a90115ec5b8d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "573a7ec0bff9c12f27b5e77d0001bbc2e28fbd9d72c6aab3162ea086c62169ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2017-11-09T20:27:35Z",
    "title_canon_sha256": "e544aa2605f3e730e273d18d9c95aeeadfbe50cc97d6aa7c868e51cd7c4b3917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03587",
    "kind": "arxiv",
    "version": 1
  }
}