Pith Number

pith:4ZFAUGTJ

pith:2024:4ZFAUGTJQPJMUOPNF7HXVVNQU5

not attested not anchored not stored refs pending

Identifying Treatment and Spillover Effects Using Exposure Contrasts

Michael P. Leung

arxiv:2403.08183 v5 · 2024-03-13 · econ.EM · 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{4ZFAUGTJQPJMUOPNF7HXVVNQU5}

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.

Cited by

1 paper in Pith

Causal Mediation Analysis for Network Data with Graph Neural Network

Receipt and verification

First computed	2026-07-28T00:21:29.732363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e64a0a1a6983d2ca39ed2fcf7ad5b0a7516c22657e72851ba026a459b0f9566a

Aliases

arxiv: 2403.08183 · arxiv_version: 2403.08183v5 · doi: 10.48550/arxiv.2403.08183 · pith_short_12: 4ZFAUGTJQPJM · pith_short_16: 4ZFAUGTJQPJMUOPN · pith_short_8: 4ZFAUGTJ

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/4ZFAUGTJQPJMUOPNF7HXVVNQU5 \
  | 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: e64a0a1a6983d2ca39ed2fcf7ad5b0a7516c22657e72851ba026a459b0f9566a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b34a3a0ab03c102968523236c8669154b997f0254063bd8f86193698b3f90a30",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2024-03-13T02:12:03Z",
    "title_canon_sha256": "92ca85c198bec5a80185d1551a0dac12c12117761876fb4616d38f501f8862c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.08183",
    "kind": "arxiv",
    "version": 5
  }
}