Pith Number

pith:HCSBL6U5

pith:2026:HCSBL6U5RCVPGTUJMAGHQEFZD3

not attested not anchored not stored refs pending

Identifying Treatment and Spillover Effects with Control-Based and Forecast-Based Counterfactuals

Augusto Cerqua, Guido Pellegrini, Viviana Celli

arxiv:2607.20156 v1 · 2026-07-22 · 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{HCSBL6U5RCVPGTUJMAGHQEFZD3}

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

Learning about Treatment Effects in Panels under Unknown Interference

Receipt and verification

First computed	2026-07-23T01:25:04.887851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38a415fa9d88aaf34e89600c7810b91ed24f9d90ea456d43857f49069afe9fe0

Aliases

arxiv: 2607.20156 · arxiv_version: 2607.20156v1 · doi: 10.48550/arxiv.2607.20156 · pith_short_12: HCSBL6U5RCVP · pith_short_16: HCSBL6U5RCVPGTUJ · pith_short_8: HCSBL6U5

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/HCSBL6U5RCVPGTUJMAGHQEFZD3 \
  | 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: 38a415fa9d88aaf34e89600c7810b91ed24f9d90ea456d43857f49069afe9fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e441c3b45b1394898de5a21ff382e0335fe075f6ac32327549d7ca391bcd9591",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2026-07-22T13:53:43Z",
    "title_canon_sha256": "579d2ca510a884d060fdf40e0f2aac768508e67dd96fb8f806dc84ed31a03e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20156",
    "kind": "arxiv",
    "version": 1
  }
}