Pith Number

pith:MLG5H3ZT

pith:2026:MLG5H3ZT5BMU2VFHO5YFNWKGZV

not attested not anchored not stored refs pending

A Unified Three-Stage Weighting Framework for Causal Inference and Mediation Analysis under Case-Control Sampling

Mahbub A.H.M. Latif, Tarikul Islam

arxiv:2606.26543 v1 · 2026-06-25 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLG5H3ZT5BMU2VFHO5YFNWKGZV}

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	2026-06-26T01:15:34.135435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62cdd3ef33e8594d54a7777056d946cd6c20a3bd5f5c08fea7ac9437f63f4b15

Aliases

arxiv: 2606.26543 · arxiv_version: 2606.26543v1 · doi: 10.48550/arxiv.2606.26543 · pith_short_12: MLG5H3ZT5BMU · pith_short_16: MLG5H3ZT5BMU2VFH · pith_short_8: MLG5H3ZT

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/MLG5H3ZT5BMU2VFHO5YFNWKGZV \
  | 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: 62cdd3ef33e8594d54a7777056d946cd6c20a3bd5f5c08fea7ac9437f63f4b15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76826f83503c91b03c8da2ddb1745b852f12431c358403af72aadaa348a45d94",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-25T02:37:00Z",
    "title_canon_sha256": "65826ad3f55ae02e7be2ffc1cc912ef0c8e2a06350db7c8167d45c6797810525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26543",
    "kind": "arxiv",
    "version": 1
  }
}