Pith Number

pith:2PX7JFGR

pith:2025:2PX7JFGR5GYOMWHLNPTV3HFJEJ

not attested not anchored not stored refs pending

Design and Analysis Considerations for Causal Inference under Two-Phase Sampling in Observational Studies

Kazuharu Harada, Masataka Taguri

arxiv:2511.06808 v2 · 2025-11-10 · 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{2PX7JFGR5GYOMWHLNPTV3HFJEJ}

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	2026-06-23T02:13:18.299862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3eff494d1e9b0e658eb6be75d9ca9224669723a31167652fac77cc1b5e9bd6f

Aliases

arxiv: 2511.06808 · arxiv_version: 2511.06808v2 · doi: 10.48550/arxiv.2511.06808 · pith_short_12: 2PX7JFGR5GYO · pith_short_16: 2PX7JFGR5GYOMWHL · pith_short_8: 2PX7JFGR

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/2PX7JFGR5GYOMWHLNPTV3HFJEJ \
  | 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: d3eff494d1e9b0e658eb6be75d9ca9224669723a31167652fac77cc1b5e9bd6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b30265357676ec1e65aaee15338ae9a4cd1b7dd90177eaa66705ac9c949cb659",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-11-10T07:50:00Z",
    "title_canon_sha256": "89639abcfadbad87a7f1890b9ad9b558883f7159b2f7b1631ba6786c4e72babf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.06808",
    "kind": "arxiv",
    "version": 2
  }
}