{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2ZVURYA6WKLWAWZFLNK2TUTBUU","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":"6a7371ca76df5ae084061be8cc282bcea3690db789b1ff3349350ec1e5e53f43","cross_cats_sorted":["econ.EM","math.ST","stat.AP","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-20T02:15:54Z","title_canon_sha256":"15d06e2c8b5b22a299e47cd0265d3528196636c000a68e31bbd143518fe5a240"},"schema_version":"1.0","source":{"id":"2606.21840","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.21840","created_at":"2026-06-23T02:13:00Z"},{"alias_kind":"arxiv_version","alias_value":"2606.21840v1","created_at":"2026-06-23T02:13:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21840","created_at":"2026-06-23T02:13:00Z"},{"alias_kind":"pith_short_12","alias_value":"2ZVURYA6WKLW","created_at":"2026-06-23T02:13:00Z"},{"alias_kind":"pith_short_16","alias_value":"2ZVURYA6WKLWAWZF","created_at":"2026-06-23T02:13:00Z"},{"alias_kind":"pith_short_8","alias_value":"2ZVURYA6","created_at":"2026-06-23T02:13:00Z"}],"graph_snapshots":[{"event_id":"sha256:75a39fc56b5f588efe5d03a4c581058e851fbdf8d1c65bbc282382d1c4da3fbf","target":"graph","created_at":"2026-06-23T02:13:00Z","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/2606.21840/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a novel distributional Difference-in-Differences (DiD) framework to capture treatment heterogeneity across outcome distributions. By leveraging optimal transport, we use the control group to estimate the untreated distributional drift from the pre- to post-treatment period and apply it to the treated group's pre-treatment baseline, constructing a counterfactual distribution under the assumption of no treatment effect. We frame the null hypothesis as a distributional equality between the transported counterfactual distribution and the observed treated post-treatment distribution, and","authors_text":"Bing Li, Lingzhou Xue, Satarupa Bhattacharjee","cross_cats":["econ.EM","math.ST","stat.AP","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-20T02:15:54Z","title":"A Test for Treatment Heterogeneity under a Distributional Difference-in-Difference Framework"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21840","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":"sha256:4be7680c987e1dbafa69fc8130c660429d15c2589811f47f23423965af6659ba","target":"record","created_at":"2026-06-23T02:13:00Z","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":"6a7371ca76df5ae084061be8cc282bcea3690db789b1ff3349350ec1e5e53f43","cross_cats_sorted":["econ.EM","math.ST","stat.AP","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-20T02:15:54Z","title_canon_sha256":"15d06e2c8b5b22a299e47cd0265d3528196636c000a68e31bbd143518fe5a240"},"schema_version":"1.0","source":{"id":"2606.21840","kind":"arxiv","version":1}},"canonical_sha256":"d66b48e01eb297605b255b55a9d261a519e3747e06cead0568ea2c1dbb405380","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d66b48e01eb297605b255b55a9d261a519e3747e06cead0568ea2c1dbb405380","first_computed_at":"2026-06-23T02:13:00.529428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T02:13:00.529428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H6aVGFTBCnnXhGzHtwsOxxtMXvkZcgI2kFkw3Eu7lZ0lHNuukSNffRNRgOVaxNJgA3YblZu54Q2t+9ULNlW+Dg==","signature_status":"signed_v1","signed_at":"2026-06-23T02:13:00.529828Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.21840","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4be7680c987e1dbafa69fc8130c660429d15c2589811f47f23423965af6659ba","sha256:75a39fc56b5f588efe5d03a4c581058e851fbdf8d1c65bbc282382d1c4da3fbf"],"state_sha256":"91aa187c4b808a299b6cee21b49a7b685b9f90d32e54c9c029c82ec0b0f988a2"}