Pith Number

pith:CZOZXLX7

pith:2026:CZOZXLX7KVGW4MLQJWUIXVTAUL

not attested not anchored not stored refs pending

A Design-Based Approach to Testing and Inference in (Quasi-)Experiments with Spillovers

Yechan Park

arxiv:2607.08640 v1 · 2026-07-09 · econ.EM · math.ST · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZOZXLX7KVGW4MLQJWUIXVTAUL}

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	2026-07-10T01:19:56.283510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

165d9baeff554d6e31704da88bd660a2d9484710c6051155419a14f6867f0c8e

Aliases

arxiv: 2607.08640 · arxiv_version: 2607.08640v1 · doi: 10.48550/arxiv.2607.08640 · pith_short_12: CZOZXLX7KVGW · pith_short_16: CZOZXLX7KVGW4MLQ · pith_short_8: CZOZXLX7

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/CZOZXLX7KVGW4MLQJWUIXVTAUL \
  | 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: 165d9baeff554d6e31704da88bd660a2d9484710c6051155419a14f6867f0c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7422624c19c6078d23c7317f1ea8cee543e6e83ab23ec8bdecbee702c691c3df",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2026-07-09T16:16:17Z",
    "title_canon_sha256": "954ab2e83d4818a2640ae385a1032e81817d8736ff5ba54e7e40068f55d904fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08640",
    "kind": "arxiv",
    "version": 1
  }
}