Pith Number

pith:PP4XX3OM

pith:2026:PP4XX3OMX5XUHQNJYMWOO7CED2

not attested not anchored not stored refs pending

Using Pre-Trends for Inference in Difference-in-Differences

Cl\'ement de Chaisemartin

arxiv:2607.21312 v1 · 2026-07-23 · 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{PP4XX3OMX5XUHQNJYMWOO7CED2}

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	2026-07-24T01:24:25.182183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf97bedccbf6f43c1a9c32ce77c441eb4abc89e2a35dba361ce18412ee1b9e3

Aliases

arxiv: 2607.21312 · arxiv_version: 2607.21312v1 · doi: 10.48550/arxiv.2607.21312 · pith_short_12: PP4XX3OMX5XU · pith_short_16: PP4XX3OMX5XUHQNJ · pith_short_8: PP4XX3OM

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/PP4XX3OMX5XUHQNJYMWOO7CED2 \
  | 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: 7bf97bedccbf6f43c1a9c32ce77c441eb4abc89e2a35dba361ce18412ee1b9e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60acab40f76fe36d2caf2fe46fc3f1e683e1be816b67e028a052ed779aef46c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2026-07-23T13:34:29Z",
    "title_canon_sha256": "ae2da2441b467fa5b72b2b10dd8278dee65fdc5c7a6a8a1e973d00ca5ddb96d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21312",
    "kind": "arxiv",
    "version": 1
  }
}