{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:TVKFARNAELSFUCMEAP3C2PWIOL","short_pith_number":"pith:TVKFARNA","canonical_record":{"source":{"id":"2606.08474","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2026-06-07T06:42:34Z","cross_cats_sorted":[],"title_canon_sha256":"36e980573c09c32ce400e773e991d25040f9a305ab37d0cf138a90a33e3288e4","abstract_canon_sha256":"1c1948ce07427497d7287d0562b967a7d6e59a926c95420c8f9be7078e9d0e30"},"schema_version":"1.0"},"canonical_sha256":"9d545045a022e45a098403f62d3ec872d290a7e0587b8a8703e699b280960775","source":{"kind":"arxiv","id":"2606.08474","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.08474","created_at":"2026-06-09T01:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"2606.08474v1","created_at":"2026-06-09T01:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.08474","created_at":"2026-06-09T01:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"TVKFARNAELSF","created_at":"2026-06-09T01:05:37Z"},{"alias_kind":"pith_short_16","alias_value":"TVKFARNAELSFUCME","created_at":"2026-06-09T01:05:37Z"},{"alias_kind":"pith_short_8","alias_value":"TVKFARNA","created_at":"2026-06-09T01:05:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:TVKFARNAELSFUCMEAP3C2PWIOL","target":"record","payload":{"canonical_record":{"source":{"id":"2606.08474","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2026-06-07T06:42:34Z","cross_cats_sorted":[],"title_canon_sha256":"36e980573c09c32ce400e773e991d25040f9a305ab37d0cf138a90a33e3288e4","abstract_canon_sha256":"1c1948ce07427497d7287d0562b967a7d6e59a926c95420c8f9be7078e9d0e30"},"schema_version":"1.0"},"canonical_sha256":"9d545045a022e45a098403f62d3ec872d290a7e0587b8a8703e699b280960775","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T01:05:37.652670Z","signature_b64":"ugByJ6VsyI/mr5QMEtkpMa9FkRgCxBN45UclokIrYKyeN/wKUSaDKlDiW1R4mLo73IFk1x830WKfJWbVmcriBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d545045a022e45a098403f62d3ec872d290a7e0587b8a8703e699b280960775","last_reissued_at":"2026-06-09T01:05:37.652269Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T01:05:37.652269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.08474","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-09T01:05:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Zv4nZ5kBekWqdwUpQOzZOV/6HJclH6CG0dm99uAgSXTedQ5ljn5wbXuRTxsLnF5SsNeYJIarr0ol9V8ahSXAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T07:00:08.072497Z"},"content_sha256":"3fad7c128dd901736276dd86cb8e661094d0cc095ebc2ed6f1a3cb25647c021a","schema_version":"1.0","event_id":"sha256:3fad7c128dd901736276dd86cb8e661094d0cc095ebc2ed6f1a3cb25647c021a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:TVKFARNAELSFUCMEAP3C2PWIOL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semiparametric Difference-in-Differences Estimation With Missing Not at Random Data: A Shadow Variable Approach","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"econ.EM","authors_text":"Dongyuan Mu, Junjie Li","submitted_at":"2026-06-07T06:42:34Z","abstract_excerpt":"This paper considers a semiparametric difference-in-differences (DID) framework for identifying and estimating treatment effects on the treated (ATT) when outcomes are missing not at random (MNAR), and a fully observed shadow variable is available. The shadow variable is assumed to be associated with the outcome evolution but independent of the missingness process, conditional on covariates and the possibly unobserved outcome evolution. We establish the identification conditions, derive the corresponding identification results and estimation algorithm, and evaluate the finite-sample performanc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.08474","kind":"arxiv","version":1},"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/2606.08474/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-09T01:05:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kk7GiFDB6/bN2BNgYQPV4G0i4xm4t6N8uCqCeX8dnZ85gxhwby8+tdLb5YRN4s5+bSRVFzrX5LaDRycf9UrOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T07:00:08.072869Z"},"content_sha256":"091a47d618b37cfc291c35205ad83f59c025dacd66b1e9836eab53654ce8c905","schema_version":"1.0","event_id":"sha256:091a47d618b37cfc291c35205ad83f59c025dacd66b1e9836eab53654ce8c905"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TVKFARNAELSFUCMEAP3C2PWIOL/bundle.json","state_url":"https://pith.science/pith/TVKFARNAELSFUCMEAP3C2PWIOL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TVKFARNAELSFUCMEAP3C2PWIOL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-04T07:00:08Z","links":{"resolver":"https://pith.science/pith/TVKFARNAELSFUCMEAP3C2PWIOL","bundle":"https://pith.science/pith/TVKFARNAELSFUCMEAP3C2PWIOL/bundle.json","state":"https://pith.science/pith/TVKFARNAELSFUCMEAP3C2PWIOL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TVKFARNAELSFUCMEAP3C2PWIOL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:TVKFARNAELSFUCMEAP3C2PWIOL","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":"1c1948ce07427497d7287d0562b967a7d6e59a926c95420c8f9be7078e9d0e30","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2026-06-07T06:42:34Z","title_canon_sha256":"36e980573c09c32ce400e773e991d25040f9a305ab37d0cf138a90a33e3288e4"},"schema_version":"1.0","source":{"id":"2606.08474","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.08474","created_at":"2026-06-09T01:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"2606.08474v1","created_at":"2026-06-09T01:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.08474","created_at":"2026-06-09T01:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"TVKFARNAELSF","created_at":"2026-06-09T01:05:37Z"},{"alias_kind":"pith_short_16","alias_value":"TVKFARNAELSFUCME","created_at":"2026-06-09T01:05:37Z"},{"alias_kind":"pith_short_8","alias_value":"TVKFARNA","created_at":"2026-06-09T01:05:37Z"}],"graph_snapshots":[{"event_id":"sha256:091a47d618b37cfc291c35205ad83f59c025dacd66b1e9836eab53654ce8c905","target":"graph","created_at":"2026-06-09T01:05:37Z","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/2606.08474/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper considers a semiparametric difference-in-differences (DID) framework for identifying and estimating treatment effects on the treated (ATT) when outcomes are missing not at random (MNAR), and a fully observed shadow variable is available. The shadow variable is assumed to be associated with the outcome evolution but independent of the missingness process, conditional on covariates and the possibly unobserved outcome evolution. We establish the identification conditions, derive the corresponding identification results and estimation algorithm, and evaluate the finite-sample performanc","authors_text":"Dongyuan Mu, Junjie Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2026-06-07T06:42:34Z","title":"Semiparametric Difference-in-Differences Estimation With Missing Not at Random Data: A Shadow Variable Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.08474","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":"sha256:3fad7c128dd901736276dd86cb8e661094d0cc095ebc2ed6f1a3cb25647c021a","target":"record","created_at":"2026-06-09T01:05:37Z","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":"1c1948ce07427497d7287d0562b967a7d6e59a926c95420c8f9be7078e9d0e30","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2026-06-07T06:42:34Z","title_canon_sha256":"36e980573c09c32ce400e773e991d25040f9a305ab37d0cf138a90a33e3288e4"},"schema_version":"1.0","source":{"id":"2606.08474","kind":"arxiv","version":1}},"canonical_sha256":"9d545045a022e45a098403f62d3ec872d290a7e0587b8a8703e699b280960775","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d545045a022e45a098403f62d3ec872d290a7e0587b8a8703e699b280960775","first_computed_at":"2026-06-09T01:05:37.652269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T01:05:37.652269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ugByJ6VsyI/mr5QMEtkpMa9FkRgCxBN45UclokIrYKyeN/wKUSaDKlDiW1R4mLo73IFk1x830WKfJWbVmcriBA==","signature_status":"signed_v1","signed_at":"2026-06-09T01:05:37.652670Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.08474","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fad7c128dd901736276dd86cb8e661094d0cc095ebc2ed6f1a3cb25647c021a","sha256:091a47d618b37cfc291c35205ad83f59c025dacd66b1e9836eab53654ce8c905"],"state_sha256":"e637659cf6e15aec8f086bee480e072c2faf7a6b3367f1ac4b31fd8645f706a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hy8YgoHPsxmMbotrvnFk1knkPRuHl1ZB9AD2xeJSlAWT3wMFZiZTIoRHSiv3vTMjMjLqcTOj2bsZz4jxRKk6DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T07:00:08.074866Z","bundle_sha256":"57072325103bf1daecde43f72d190a802cb42b40a5f8613a52ba8843f95aba5e"}}