Pith Number

pith:LIQZHLTI

pith:2025:LIQZHLTIWMRCO3XGPQRBRZB35N

not attested not anchored not stored refs pending

Mediation Analysis for Sparse and Irregularly Spaced Longitudinal Outcomes with Application to the MrOS Sleep Study

Haoyi Yang, Lingzhou Xue, Qian Xiao, Rui Ren, Yuan Huang

arxiv:2506.07953 v1 · 2025-06-09 · stat.ME · 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{LIQZHLTIWMRCO3XGPQRBRZB35N}

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	2026-07-05T11:18:35.972196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a2193ae68b322276ee67c2218e43beb5ca28bc256b93433ba4dd53e56494970

Aliases

arxiv: 2506.07953 · arxiv_version: 2506.07953v1 · doi: 10.48550/arxiv.2506.07953 · pith_short_12: LIQZHLTIWMRC · pith_short_16: LIQZHLTIWMRCO3XG · pith_short_8: LIQZHLTI

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/LIQZHLTIWMRCO3XGPQRBRZB35N \
  | 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: 5a2193ae68b322276ee67c2218e43beb5ca28bc256b93433ba4dd53e56494970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11cdedca9c7eef803f5475b395b5b1e62ee836dd0105a6fe0014d25756b11498",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-06-09T17:18:31Z",
    "title_canon_sha256": "fbfd4b0844cafd476626fb6fc152b9db9f4d86c2dd1a3d50fb477044d59241ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07953",
    "kind": "arxiv",
    "version": 1
  }
}