Pith Number

pith:4Q7YDHCH

pith:2021:4Q7YDHCHEQ6XYXGJIOSMVATG5L

not attested not anchored not stored refs pending

Post-Treatment Confounding in Causal Mediation Studies: A Cutting-Edge Problem and A Novel Solution via Sensitivity Analysis

Fan Yang, Guanglei Hong, Xu Qin

arxiv:2107.11014 v1 · 2021-07-23 · 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{4Q7YDHCHEQ6XYXGJIOSMVATG5L}

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	2026-07-05T03:00:12.425599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e43f819c47243d7c5cc943a4ca8266eaf75d3dabdad387d7bbd5939648d4fdf8

Aliases

arxiv: 2107.11014 · arxiv_version: 2107.11014v1 · doi: 10.48550/arxiv.2107.11014 · pith_short_12: 4Q7YDHCHEQ6X · pith_short_16: 4Q7YDHCHEQ6XYXGJ · pith_short_8: 4Q7YDHCH

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/4Q7YDHCHEQ6XYXGJIOSMVATG5L \
  | 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: e43f819c47243d7c5cc943a4ca8266eaf75d3dabdad387d7bbd5939648d4fdf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f01387b79c7a47941ffd489acbea9b36f176010b526574e717e5585c36e574f",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2021-07-23T03:27:42Z",
    "title_canon_sha256": "360526a69c3d74a569938b1328ae82c3f58244b5c9231826e1cd75a02b0d36a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11014",
    "kind": "arxiv",
    "version": 1
  }
}