Pith Number

pith:KPAB35IQ

pith:2015:KPAB35IQE7VDWME3FKSUW4RQNL

not attested not anchored not stored refs pending

The Sorted Effects Method: Discovering Heterogeneous Effects Beyond Their Averages

Ivan Fernandez-Val, Victor Chernozhukov, Ye Luo

arxiv:1512.05635 v4 · 2015-12-17 · stat.ME · econ.EM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPAB35IQE7VDWME3FKSUW4RQNL}

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	2026-05-18T00:14:57.505045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c01df51027ea3b309b2aa54b72306ae852a1b85ae7d8f15d03e9eceb0cc538

Aliases

arxiv: 1512.05635 · arxiv_version: 1512.05635v4 · doi: 10.48550/arxiv.1512.05635 · pith_short_12: KPAB35IQE7VD · pith_short_16: KPAB35IQE7VDWME3 · pith_short_8: KPAB35IQ

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/KPAB35IQE7VDWME3FKSUW4RQNL \
  | 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: 53c01df51027ea3b309b2aa54b72306ae852a1b85ae7d8f15d03e9eceb0cc538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb32c80818c51a91bd7a912a649d1fc1b838c6e72d3a4ca8e588add63b2e270e",
    "cross_cats_sorted": [
      "econ.EM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-12-17T15:41:01Z",
    "title_canon_sha256": "b34a00975d2117a360e3fff4f824b8376e7ce65c69970d5ddaa81b02eba6c578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05635",
    "kind": "arxiv",
    "version": 4
  }
}