Pith Number

pith:I3L4DNJY

pith:2025:I3L4DNJYDSFNWL2TVEIORT2HA2

not attested not anchored not stored refs pending

A Tutorial on Conducting Mediation Analysis with Exposure Mixtures

Bhramar Mukherjee, John D. Meeker, Joshua L. Warren, Sean McGrath, Sung Kyun Park, Yiran Wang, Yi-Ting Lin

arxiv:2509.10916 v1 · 2025-09-13 · 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{I3L4DNJYDSFNWL2TVEIORT2HA2}

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	2026-07-05T12:11:30.360285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46d7c1b5381c8adb2f53a910e8cf4706bbe0beb79ca5924ef694e9a41e649b38

Aliases

arxiv: 2509.10916 · arxiv_version: 2509.10916v1 · doi: 10.48550/arxiv.2509.10916 · pith_short_12: I3L4DNJYDSFN · pith_short_16: I3L4DNJYDSFNWL2T · pith_short_8: I3L4DNJY

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/I3L4DNJYDSFNWL2TVEIORT2HA2 \
  | 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: 46d7c1b5381c8adb2f53a910e8cf4706bbe0beb79ca5924ef694e9a41e649b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ad46a85f2df73141d075a371f179c217149d6fb7deacf0593bfbae4100e6e26",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-09-13T17:33:39Z",
    "title_canon_sha256": "42b7c86996eb5d6616e7f31335d8631062926bf9d48ff45291938077efd51b3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10916",
    "kind": "arxiv",
    "version": 1
  }
}