{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:PIWMMYQABCD77JBABGBWAAYBJX","short_pith_number":"pith:PIWMMYQA","schema_version":"1.0","canonical_sha256":"7a2cc662000887ffa42009836003014dff826e7a47b21cc4608ca2996f379c38","source":{"kind":"arxiv","id":"2512.18084","version":3},"attestation_state":"computed","paper":{"title":"Inference in partially identified moment models via regularized optimal transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"econ.EM","authors_text":"Grigory Franguridi, Laura Liu","submitted_at":"2025-12-19T21:41:56Z","abstract_excerpt":"Many statistical and econometric problems involve parameters defined by moments of a joint distribution when only marginal distributions are observed, leading naturally to partial identification. We develop a methodology for identification, estimation, and inference in the corresponding partially identified GMM model. We characterize the sharp identified set for the parameter of interest via a support-function/optimal-transport (OT) representation. To estimate the identified set, we employ entropic regularization, which yields a smooth approximation to the classical OT problem that can be comp"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2512.18084","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2025-12-19T21:41:56Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"b62db7c9caeb7a9c6c0ce8ad62283e4fbebeacabae0778c2b0e6608c103b4f25","abstract_canon_sha256":"5aa07fd8634a79e3bb14ce23d73f9e79dad744358a8c91ed8e043601fff11386"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T01:08:30.987544Z","signature_b64":"pZUilMHDZ5FHDkkV7SEVud+3fFWjdBlxRXhazGT72CB5l+oeID54KnUmWQhcjDqZ3Me+gv66SjHmImLPeIHXAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a2cc662000887ffa42009836003014dff826e7a47b21cc4608ca2996f379c38","last_reissued_at":"2026-06-10T01:08:30.986484Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T01:08:30.986484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inference in partially identified moment models via regularized optimal transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"econ.EM","authors_text":"Grigory Franguridi, Laura Liu","submitted_at":"2025-12-19T21:41:56Z","abstract_excerpt":"Many statistical and econometric problems involve parameters defined by moments of a joint distribution when only marginal distributions are observed, leading naturally to partial identification. We develop a methodology for identification, estimation, and inference in the corresponding partially identified GMM model. We characterize the sharp identified set for the parameter of interest via a support-function/optimal-transport (OT) representation. To estimate the identified set, we employ entropic regularization, which yields a smooth approximation to the classical OT problem that can be comp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.18084","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2512.18084/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2512.18084","created_at":"2026-06-10T01:08:30.986619+00:00"},{"alias_kind":"arxiv_version","alias_value":"2512.18084v3","created_at":"2026-06-10T01:08:30.986619+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.18084","created_at":"2026-06-10T01:08:30.986619+00:00"},{"alias_kind":"pith_short_12","alias_value":"PIWMMYQABCD7","created_at":"2026-06-10T01:08:30.986619+00:00"},{"alias_kind":"pith_short_16","alias_value":"PIWMMYQABCD77JBA","created_at":"2026-06-10T01:08:30.986619+00:00"},{"alias_kind":"pith_short_8","alias_value":"PIWMMYQA","created_at":"2026-06-10T01:08:30.986619+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PIWMMYQABCD77JBABGBWAAYBJX","json":"https://pith.science/pith/PIWMMYQABCD77JBABGBWAAYBJX.json","graph_json":"https://pith.science/api/pith-number/PIWMMYQABCD77JBABGBWAAYBJX/graph.json","events_json":"https://pith.science/api/pith-number/PIWMMYQABCD77JBABGBWAAYBJX/events.json","paper":"https://pith.science/paper/PIWMMYQA"},"agent_actions":{"view_html":"https://pith.science/pith/PIWMMYQABCD77JBABGBWAAYBJX","download_json":"https://pith.science/pith/PIWMMYQABCD77JBABGBWAAYBJX.json","view_paper":"https://pith.science/paper/PIWMMYQA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2512.18084&json=true","fetch_graph":"https://pith.science/api/pith-number/PIWMMYQABCD77JBABGBWAAYBJX/graph.json","fetch_events":"https://pith.science/api/pith-number/PIWMMYQABCD77JBABGBWAAYBJX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PIWMMYQABCD77JBABGBWAAYBJX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PIWMMYQABCD77JBABGBWAAYBJX/action/storage_attestation","attest_author":"https://pith.science/pith/PIWMMYQABCD77JBABGBWAAYBJX/action/author_attestation","sign_citation":"https://pith.science/pith/PIWMMYQABCD77JBABGBWAAYBJX/action/citation_signature","submit_replication":"https://pith.science/pith/PIWMMYQABCD77JBABGBWAAYBJX/action/replication_record"}},"created_at":"2026-06-10T01:08:30.986619+00:00","updated_at":"2026-06-10T01:08:30.986619+00:00"}