{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HPSA42J5GWCVJ5PFKSX7LITUVW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c1eca8475e26eca34ef076af1869f77b554ece2adf580a075c0cc1b31045c678","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.EM","submitted_at":"2024-12-31T13:10:57Z","title_canon_sha256":"f930440389e7c06804b216d1a59a4db50f1f0f6707fc17638bb27cd5e77f3f69"},"schema_version":"1.0","source":{"id":"2501.00428","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.00428","created_at":"2026-07-05T09:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"2501.00428v1","created_at":"2026-07-05T09:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.00428","created_at":"2026-07-05T09:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"HPSA42J5GWCV","created_at":"2026-07-05T09:56:05Z"},{"alias_kind":"pith_short_16","alias_value":"HPSA42J5GWCVJ5PF","created_at":"2026-07-05T09:56:05Z"},{"alias_kind":"pith_short_8","alias_value":"HPSA42J5","created_at":"2026-07-05T09:56:05Z"}],"graph_snapshots":[{"event_id":"sha256:6bddb357e57f7a635afa7e3c4190ca3227098fe17acf30a61eb5967be86a7826","target":"graph","created_at":"2026-07-05T09:56:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.00428/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We extend the regression discontinuity (RD) design to settings where each unit's treatment status is an average or aggregate across multiple discontinuity events. Such situations arise in many studies where the outcome is measured at a higher level of spatial or temporal aggregation (e.g., by state with district-level discontinuities) or when spillovers from discontinuity events are of interest. We propose two novel estimation procedures - one at the level at which the outcome is measured and the other in the sample of discontinuities - and show that both identify a local average causal effect","authors_text":"Kirill Borusyak, Matan Kolerman-Shemer","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.EM","submitted_at":"2024-12-31T13:10:57Z","title":"Regression discontinuity aggregation, with an application to the union effects on inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.00428","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b731e545545a59eddf896cd806696f7b1f9a8c1520c99c0379bd2f1bb924fa9d","target":"record","created_at":"2026-07-05T09:56:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c1eca8475e26eca34ef076af1869f77b554ece2adf580a075c0cc1b31045c678","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.EM","submitted_at":"2024-12-31T13:10:57Z","title_canon_sha256":"f930440389e7c06804b216d1a59a4db50f1f0f6707fc17638bb27cd5e77f3f69"},"schema_version":"1.0","source":{"id":"2501.00428","kind":"arxiv","version":1}},"canonical_sha256":"3be40e693d358554f5e554aff5a274adae5ab6bd5625ebbf3fd41bd1195955dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3be40e693d358554f5e554aff5a274adae5ab6bd5625ebbf3fd41bd1195955dd","first_computed_at":"2026-07-05T09:56:05.776907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:56:05.776907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p54HPJDxysIogbtxWflDnMxVn8TEk/HWQYtksiqeaujJw3BjdCqWgFX7YFNbJ7ECEwpkSBZxH2HiJE5J2nQuBA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:56:05.777383Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.00428","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b731e545545a59eddf896cd806696f7b1f9a8c1520c99c0379bd2f1bb924fa9d","sha256:6bddb357e57f7a635afa7e3c4190ca3227098fe17acf30a61eb5967be86a7826"],"state_sha256":"f0565e46aef97b70f997a7e410268c8ecfe494f41e9cd8f603da8f118e40dc4d"}