Pith Number

pith:WQJGDTFL

pith:2026:WQJGDTFLJIZLMQZP577LYA2HBK

not attested not anchored not stored refs pending

Targeted maximum likelihood estimation of vaccine effectiveness and immune correlates in test-negative design studies with missing data

Lars van der Laan, Leah I. B. Andrews, Peter B. Gilbert

arxiv:2605.21793 v1 · 2026-05-20 · stat.ME · stat.AP · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQJGDTFLJIZLMQZP577LYA2HBK}

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	2026-05-22T01:03:32.692428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b41261ccab4a32b6432feffebc03470aa593615ce2358633bd33baa711c590a7

Aliases

arxiv: 2605.21793 · arxiv_version: 2605.21793v1 · doi: 10.48550/arxiv.2605.21793 · pith_short_12: WQJGDTFLJIZL · pith_short_16: WQJGDTFLJIZLMQZP · pith_short_8: WQJGDTFL

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/WQJGDTFLJIZLMQZP577LYA2HBK \
  | 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: b41261ccab4a32b6432feffebc03470aa593615ce2358633bd33baa711c590a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2414c3530c662301d1f0fad23628600c572d3fce151c90a2d01f1c1fad3a9f87",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-05-20T22:38:26Z",
    "title_canon_sha256": "0eb95b50d0ce282192f630c9e755d86b173988e6cff87c551ec88764b168e2fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21793",
    "kind": "arxiv",
    "version": 1
  }
}