{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:YVU2PADXEBEPHAI57RN536IZ6K","short_pith_number":"pith:YVU2PADX","canonical_record":{"source":{"id":"2201.01010","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2022-01-04T07:07:53Z","cross_cats_sorted":[],"title_canon_sha256":"857b8ce0a7fdd51404dba51c9653297f955dffcee594f4588ef3c5c4cbb4ec1e","abstract_canon_sha256":"7edbaccf54e63a9b1cc3c9d85e0bb54c43203047be06abe2132fa3bf0d2cea78"},"schema_version":"1.0"},"canonical_sha256":"c569a780772048f3811dfc5bddf919f2a04d53acaf3ad408c772f6f696dc2701","source":{"kind":"arxiv","id":"2201.01010","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.01010","created_at":"2026-05-29T02:05:31Z"},{"alias_kind":"arxiv_version","alias_value":"2201.01010v3","created_at":"2026-05-29T02:05:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.01010","created_at":"2026-05-29T02:05:31Z"},{"alias_kind":"pith_short_12","alias_value":"YVU2PADXEBEP","created_at":"2026-05-29T02:05:31Z"},{"alias_kind":"pith_short_16","alias_value":"YVU2PADXEBEPHAI5","created_at":"2026-05-29T02:05:31Z"},{"alias_kind":"pith_short_8","alias_value":"YVU2PADX","created_at":"2026-05-29T02:05:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:YVU2PADXEBEPHAI57RN536IZ6K","target":"record","payload":{"canonical_record":{"source":{"id":"2201.01010","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2022-01-04T07:07:53Z","cross_cats_sorted":[],"title_canon_sha256":"857b8ce0a7fdd51404dba51c9653297f955dffcee594f4588ef3c5c4cbb4ec1e","abstract_canon_sha256":"7edbaccf54e63a9b1cc3c9d85e0bb54c43203047be06abe2132fa3bf0d2cea78"},"schema_version":"1.0"},"canonical_sha256":"c569a780772048f3811dfc5bddf919f2a04d53acaf3ad408c772f6f696dc2701","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T02:05:31.281079Z","signature_b64":"qz8wbdEAq7oJJzP3WoUJLUMqpYPk5xmnelSKDTEkQf0gEQe+JpAUV0IQHf4sd0APzPw9+sLFx435Eqcq21v8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c569a780772048f3811dfc5bddf919f2a04d53acaf3ad408c772f6f696dc2701","last_reissued_at":"2026-05-29T02:05:31.280069Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T02:05:31.280069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2201.01010","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-29T02:05:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rLJNrAwHihtUFz7MA+R168Y7MTtNvMHlCoeX0b/AW336HlQcFd8J92DNNP1SJuINoePbmNkhFybQdf+1KubKDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T12:14:12.804843Z"},"content_sha256":"619183a5c06c5a9bb3cf39a4b4ce2f74d376d6c13142a130656e483bcc4b9f74","schema_version":"1.0","event_id":"sha256:619183a5c06c5a9bb3cf39a4b4ce2f74d376d6c13142a130656e483bcc4b9f74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:YVU2PADXEBEPHAI57RN536IZ6K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Doubly Robust GMM Estimator for Sequential Non-monotone Missingness","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"econ.EM","authors_text":"Shenshen Yang","submitted_at":"2022-01-04T07:07:53Z","abstract_excerpt":"We study moment-based estimation with two sequentially collected variables subject to non-monotone missingness. The commonly used Missing at Random (MAR) assumption requiring all missingness mechanisms to depend on the same fully observed covariates often fails in such cases. We introduce a sequential MAR assumption that allows asymmetric missingness mechanisms across stages. Based on this assumption, we construct an Augmented Inverse-Probability-Weighted GMM (AIPW-GMM) estimator. The estimator features an asymmetric structure for the augmentation term, guarantees double robustness, and achiev"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.01010","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/2201.01010/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":"2026-05-29T02:05:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pqqA+HAIkiS9s4vOw7StjLmgWcBmZrpDKuX1MDB6dme09kxowmNXv5qXcUdDhPTsykuUbzGK86kSJM54jq2gAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T12:14:12.805403Z"},"content_sha256":"b944cd6b7c14895c0d44045aa818deafc727d6f04a71dbe4b2edaa88c81eb0d1","schema_version":"1.0","event_id":"sha256:b944cd6b7c14895c0d44045aa818deafc727d6f04a71dbe4b2edaa88c81eb0d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YVU2PADXEBEPHAI57RN536IZ6K/bundle.json","state_url":"https://pith.science/pith/YVU2PADXEBEPHAI57RN536IZ6K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YVU2PADXEBEPHAI57RN536IZ6K/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":"2026-08-05T12:14:12Z","links":{"resolver":"https://pith.science/pith/YVU2PADXEBEPHAI57RN536IZ6K","bundle":"https://pith.science/pith/YVU2PADXEBEPHAI57RN536IZ6K/bundle.json","state":"https://pith.science/pith/YVU2PADXEBEPHAI57RN536IZ6K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YVU2PADXEBEPHAI57RN536IZ6K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:YVU2PADXEBEPHAI57RN536IZ6K","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":"7edbaccf54e63a9b1cc3c9d85e0bb54c43203047be06abe2132fa3bf0d2cea78","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2022-01-04T07:07:53Z","title_canon_sha256":"857b8ce0a7fdd51404dba51c9653297f955dffcee594f4588ef3c5c4cbb4ec1e"},"schema_version":"1.0","source":{"id":"2201.01010","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.01010","created_at":"2026-05-29T02:05:31Z"},{"alias_kind":"arxiv_version","alias_value":"2201.01010v3","created_at":"2026-05-29T02:05:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.01010","created_at":"2026-05-29T02:05:31Z"},{"alias_kind":"pith_short_12","alias_value":"YVU2PADXEBEP","created_at":"2026-05-29T02:05:31Z"},{"alias_kind":"pith_short_16","alias_value":"YVU2PADXEBEPHAI5","created_at":"2026-05-29T02:05:31Z"},{"alias_kind":"pith_short_8","alias_value":"YVU2PADX","created_at":"2026-05-29T02:05:31Z"}],"graph_snapshots":[{"event_id":"sha256:b944cd6b7c14895c0d44045aa818deafc727d6f04a71dbe4b2edaa88c81eb0d1","target":"graph","created_at":"2026-05-29T02:05:31Z","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/2201.01010/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study moment-based estimation with two sequentially collected variables subject to non-monotone missingness. The commonly used Missing at Random (MAR) assumption requiring all missingness mechanisms to depend on the same fully observed covariates often fails in such cases. We introduce a sequential MAR assumption that allows asymmetric missingness mechanisms across stages. Based on this assumption, we construct an Augmented Inverse-Probability-Weighted GMM (AIPW-GMM) estimator. The estimator features an asymmetric structure for the augmentation term, guarantees double robustness, and achiev","authors_text":"Shenshen Yang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2022-01-04T07:07:53Z","title":"A Doubly Robust GMM Estimator for Sequential Non-monotone Missingness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.01010","kind":"arxiv","version":3},"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":"sha256:619183a5c06c5a9bb3cf39a4b4ce2f74d376d6c13142a130656e483bcc4b9f74","target":"record","created_at":"2026-05-29T02:05:31Z","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":"7edbaccf54e63a9b1cc3c9d85e0bb54c43203047be06abe2132fa3bf0d2cea78","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2022-01-04T07:07:53Z","title_canon_sha256":"857b8ce0a7fdd51404dba51c9653297f955dffcee594f4588ef3c5c4cbb4ec1e"},"schema_version":"1.0","source":{"id":"2201.01010","kind":"arxiv","version":3}},"canonical_sha256":"c569a780772048f3811dfc5bddf919f2a04d53acaf3ad408c772f6f696dc2701","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c569a780772048f3811dfc5bddf919f2a04d53acaf3ad408c772f6f696dc2701","first_computed_at":"2026-05-29T02:05:31.280069Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T02:05:31.280069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qz8wbdEAq7oJJzP3WoUJLUMqpYPk5xmnelSKDTEkQf0gEQe+JpAUV0IQHf4sd0APzPw9+sLFx435Eqcq21v8Ag==","signature_status":"signed_v1","signed_at":"2026-05-29T02:05:31.281079Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.01010","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:619183a5c06c5a9bb3cf39a4b4ce2f74d376d6c13142a130656e483bcc4b9f74","sha256:b944cd6b7c14895c0d44045aa818deafc727d6f04a71dbe4b2edaa88c81eb0d1"],"state_sha256":"0eadccebc5af64eb3be3d6050d1b430f426e02bf29a4f3222d458dc63534110d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6iEzp+HNxbJS6XTVqGHl5C5h2wda7T+2IAkr3o4VVolZbBpMCa31qoMsrbbtnr/aA7Vna/BLYIyEnR2xIzYmBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T12:14:12.814207Z","bundle_sha256":"0305da725b849da50c76456e5d81c3202e60d0402f75eec759bb37bfcb92e1e5"}}