Pith Number

pith:WTHC6P6M

pith:2026:WTHC6P6MOIJ2226ZFWHQ37D3VH

not attested not anchored not stored refs resolved

Identification and Estimation of Staggered Difference-in-Differences with Network Spillovers

Hayato Tagawa

A staggered difference-in-differences method separates a unit's own adoption effect from spillovers generated by others using a prespecified exposure summary.

arxiv:2605.15119 v1 · 2026-05-14 · 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{WTHC6P6MOIJ2226ZFWHQ37D3VH}

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.

Claims

C1strongest claim

The framework separates the effect of own adoption, the spillover effect generated by other adopters, and the total effect under the realized rollout. Identification uses a prespecified summary of spillover exposure and parallel trends comparisons among units with the same exposure at the baseline and target dates.

C2weakest assumption

Spillover effects learned from never-treated units can be validly evaluated for treated cohorts under the exposure distribution they face, together with the conditional parallel trends assumption holding for units sharing the same prespecified spillover exposure summary.

C3one line summary

A new staggered DID framework identifies own-treatment, spillover, and total effects under network spillovers via prespecified exposure summaries and parallel trends among units with matching exposure.

References

58 extracted · 58 resolved · 0 Pith anchors

[1] arXiv preprint arXiv:2105.03737 , year =

[2] market access 2016

[3] The review of economic studies , volume = 1993

[4] Journal of Business & Economic Statistics , volume = 2013

[5] Econometrica , volume = 2004

Receipt and verification

First computed	2026-05-17T21:40:25.702287Z
Last reissued	2026-05-17T21:57:19.039138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

b4ce2f3fcc7213ad6bd92d8f0dfc7ba9d67ca6776e6fbbd76aba4e3237fccd4e

Aliases

arxiv: 2605.15119 · arxiv_version: 2605.15119v1 · pith_short_12: WTHC6P6MOIJ2 · pith_short_16: WTHC6P6MOIJ2226Z · pith_short_8: WTHC6P6M

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/WTHC6P6MOIJ2226ZFWHQ37D3VH \
  | 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: b4ce2f3fcc7213ad6bd92d8f0dfc7ba9d67ca6776e6fbbd76aba4e3237fccd4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4fff0e901284f172f71408e4357dbb7cd33cc58e5b94a25395165f09339383b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2026-05-14T17:31:33Z",
    "title_canon_sha256": "349d25f11599d38c6c5ebd888db64522c7020ae2938089bc294219dab3c63216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15119",
    "kind": "arxiv",
    "version": 1
  }
}