Pith Number

pith:6D3H5ZWL

pith:2015:6D3H5ZWLUZBIK5GB4XUT4RCZSL

not attested not anchored not stored refs pending

The use of covariates and random effects in evaluating predictive biomarkers under a potential outcome framework

Aiyi Liu, Guoxing Soon, Lei Nie, Zhiwei Zhang

arxiv:1502.00757 v1 · 2015-02-03 · 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{6D3H5ZWLUZBIK5GB4XUT4RCZSL}

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	2026-05-18T02:28:04.396634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0f67ee6cba6428574c1e5e93e445992e7b33a5cd8c1d41a927369ac123609d2

Aliases

arxiv: 1502.00757 · arxiv_version: 1502.00757v1 · doi: 10.48550/arxiv.1502.00757 · pith_short_12: 6D3H5ZWLUZBI · pith_short_16: 6D3H5ZWLUZBIK5GB · pith_short_8: 6D3H5ZWL

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/6D3H5ZWLUZBIK5GB4XUT4RCZSL \
  | 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: f0f67ee6cba6428574c1e5e93e445992e7b33a5cd8c1d41a927369ac123609d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc547bd64afd0428670a58c459e672e24256d1f5df08cc3720ad739e951f55fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2015-02-03T06:56:00Z",
    "title_canon_sha256": "ce372cf6a8c6319d9a043f48a144c3e27fa5b173b59c006be94d4d23379cb1dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00757",
    "kind": "arxiv",
    "version": 1
  }
}