Pith Number

pith:OFAK6SME

pith:2026:OFAK6SMEP3V3NNEERTJZ5CGVOH

not attested not anchored not stored refs pending

A Nonparametric Test for Cross-Unit Spillovers

Abhimanyu Gupta, Camila Comunello, Margherita Comola

arxiv:2608.00136 v1 · 2026-07-31 · 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{OFAK6SMEP3V3NNEERTJZ5CGVOH}

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	2026-08-04T00:33:02.372450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7140af49847eebb6b4848cd39e88d571c94ce780e56074963dfe25e85c768d1b

Aliases

arxiv: 2608.00136 · arxiv_version: 2608.00136v1 · doi: 10.48550/arxiv.2608.00136 · pith_short_12: OFAK6SMEP3V3 · pith_short_16: OFAK6SMEP3V3NNEE · pith_short_8: OFAK6SME

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/OFAK6SMEP3V3NNEERTJZ5CGVOH \
  | 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: 7140af49847eebb6b4848cd39e88d571c94ce780e56074963dfe25e85c768d1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76a74593293b635fad0cbed88f5f3d84d03a300fc8684e8dffa7ba7ec20cc05c",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2026-07-31T14:25:43Z",
    "title_canon_sha256": "65c019f7ac71a7695adf39c91c62daaa8c9a536aa8cbf842f1b2c5ca2828bc8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00136",
    "kind": "arxiv",
    "version": 1
  }
}