Pith Number

pith:IQ2U44RO

pith:2025:IQ2U44ROZBJL3IKGLK5ATGV4SZ

not attested not anchored not stored refs pending

A longitudinal Bayesian framework for estimating causal dose-response relationships

Daniel J. Graham, Kuan Liu, Ramandeep Singh, Yu Luo

arxiv:2505.20893 v4 · 2025-05-27 · 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{IQ2U44ROZBJL3IKGLK5ATGV4SZ}

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	2026-06-02T02:04:47.083327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44354e722ec852bda1465aba099abc965e1fd24f324960e9f114230109b7c121

Aliases

arxiv: 2505.20893 · arxiv_version: 2505.20893v4 · doi: 10.48550/arxiv.2505.20893 · pith_short_12: IQ2U44ROZBJL · pith_short_16: IQ2U44ROZBJL3IKG · pith_short_8: IQ2U44RO

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/IQ2U44ROZBJL3IKGLK5ATGV4SZ \
  | 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: 44354e722ec852bda1465aba099abc965e1fd24f324960e9f114230109b7c121

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adbf8e9e7c2585278cccf2f07316d2fbe6963b82d49aa8d7b0907b1c483e8b25",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-05-27T08:37:02Z",
    "title_canon_sha256": "5c83a54be26a3793bb2784e5314a30d3fa6cb5a4c7ec387a88ea4f579044939f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20893",
    "kind": "arxiv",
    "version": 4
  }
}