{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:27TFEHC2QW3F3B3FHZ7OCQO7IK","short_pith_number":"pith:27TFEHC2","canonical_record":{"source":{"id":"1909.09928","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2019-09-22T01:51:11Z","cross_cats_sorted":[],"title_canon_sha256":"3f150031cdc041bbf08488e08c1b26789a9c39341b7d901cfcfb997cd57e301a","abstract_canon_sha256":"7d17ce3ed2431903599bbea2eadfec755ff45acbecfb3a60062752ce910f5649"},"schema_version":"1.0"},"canonical_sha256":"d7e6521c5a85b65d87653e7ee141df42989f7f4408228cc9d8102b8d61673a7b","source":{"kind":"arxiv","id":"1909.09928","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.09928","created_at":"2026-07-05T02:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"1909.09928v2","created_at":"2026-07-05T02:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.09928","created_at":"2026-07-05T02:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"27TFEHC2QW3F","created_at":"2026-07-05T02:18:14Z"},{"alias_kind":"pith_short_16","alias_value":"27TFEHC2QW3F3B3F","created_at":"2026-07-05T02:18:14Z"},{"alias_kind":"pith_short_8","alias_value":"27TFEHC2","created_at":"2026-07-05T02:18:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:27TFEHC2QW3F3B3FHZ7OCQO7IK","target":"record","payload":{"canonical_record":{"source":{"id":"1909.09928","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2019-09-22T01:51:11Z","cross_cats_sorted":[],"title_canon_sha256":"3f150031cdc041bbf08488e08c1b26789a9c39341b7d901cfcfb997cd57e301a","abstract_canon_sha256":"7d17ce3ed2431903599bbea2eadfec755ff45acbecfb3a60062752ce910f5649"},"schema_version":"1.0"},"canonical_sha256":"d7e6521c5a85b65d87653e7ee141df42989f7f4408228cc9d8102b8d61673a7b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:18:14.042421Z","signature_b64":"TJydQXJrQ/biTMFkiORHVutZitmMJMJd9urehN24RmggWrGYkJQeenUzun0YIBXsDVGL3PFFhn3537CVI9XJDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7e6521c5a85b65d87653e7ee141df42989f7f4408228cc9d8102b8d61673a7b","last_reissued_at":"2026-07-05T02:18:14.041989Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:18:14.041989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1909.09928","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:18:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3NreUQQEy5ESDFMQIkNlwDGYFQW0oa7a9soWH17y8w0b93lnw5TGJ6w8vZWPkrmBXKGX8kT+iqAfnEz/jfT7Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T09:26:31.617174Z"},"content_sha256":"12713c48b489f43619879ff1f5bab18c8594d28bcdb9c52403e694c9cf77562b","schema_version":"1.0","event_id":"sha256:12713c48b489f43619879ff1f5bab18c8594d28bcdb9c52403e694c9cf77562b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:27TFEHC2QW3F3B3FHZ7OCQO7IK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Subspace Clustering for Panel Data with Interactive Effects","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"econ.EM","authors_text":"Hao Qu, Hon Keung Tony, Jiangtao Duan, Wei Gao","submitted_at":"2019-09-22T01:51:11Z","abstract_excerpt":"In this paper, a statistical model for panel data with unobservable grouped factor structures which are correlated with the regressors and the group membership can be unknown. The factor loadings are assumed to be in different subspaces and the subspace clustering for factor loadings are considered. A method called least squares subspace clustering estimate (LSSC) is proposed to estimate the model parameters by minimizing the least-square criterion and to perform the subspace clustering simultaneously. The consistency of the proposed subspace clustering is proved and the asymptotic properties "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.09928","kind":"arxiv","version":2},"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/1909.09928/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":"2026-07-05T02:18:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o32pJ+FcRTX4AXHZb8wef7NByfVV+FKXOQXY+3C4KJdkJisb1Avfm8Y0O7JErRa/Pky8sGLZGTUOPcqC6b+1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T09:26:31.617700Z"},"content_sha256":"a2ce32e515ca22c0c678d09f1aed8ea90a60e00f247c7ad7ae745edac67d5852","schema_version":"1.0","event_id":"sha256:a2ce32e515ca22c0c678d09f1aed8ea90a60e00f247c7ad7ae745edac67d5852"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/27TFEHC2QW3F3B3FHZ7OCQO7IK/bundle.json","state_url":"https://pith.science/pith/27TFEHC2QW3F3B3FHZ7OCQO7IK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/27TFEHC2QW3F3B3FHZ7OCQO7IK/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":"2026-08-07T09:26:31Z","links":{"resolver":"https://pith.science/pith/27TFEHC2QW3F3B3FHZ7OCQO7IK","bundle":"https://pith.science/pith/27TFEHC2QW3F3B3FHZ7OCQO7IK/bundle.json","state":"https://pith.science/pith/27TFEHC2QW3F3B3FHZ7OCQO7IK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/27TFEHC2QW3F3B3FHZ7OCQO7IK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:27TFEHC2QW3F3B3FHZ7OCQO7IK","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":"7d17ce3ed2431903599bbea2eadfec755ff45acbecfb3a60062752ce910f5649","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2019-09-22T01:51:11Z","title_canon_sha256":"3f150031cdc041bbf08488e08c1b26789a9c39341b7d901cfcfb997cd57e301a"},"schema_version":"1.0","source":{"id":"1909.09928","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.09928","created_at":"2026-07-05T02:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"1909.09928v2","created_at":"2026-07-05T02:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.09928","created_at":"2026-07-05T02:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"27TFEHC2QW3F","created_at":"2026-07-05T02:18:14Z"},{"alias_kind":"pith_short_16","alias_value":"27TFEHC2QW3F3B3F","created_at":"2026-07-05T02:18:14Z"},{"alias_kind":"pith_short_8","alias_value":"27TFEHC2","created_at":"2026-07-05T02:18:14Z"}],"graph_snapshots":[{"event_id":"sha256:a2ce32e515ca22c0c678d09f1aed8ea90a60e00f247c7ad7ae745edac67d5852","target":"graph","created_at":"2026-07-05T02:18:14Z","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/1909.09928/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, a statistical model for panel data with unobservable grouped factor structures which are correlated with the regressors and the group membership can be unknown. The factor loadings are assumed to be in different subspaces and the subspace clustering for factor loadings are considered. A method called least squares subspace clustering estimate (LSSC) is proposed to estimate the model parameters by minimizing the least-square criterion and to perform the subspace clustering simultaneously. The consistency of the proposed subspace clustering is proved and the asymptotic properties ","authors_text":"Hao Qu, Hon Keung Tony, Jiangtao Duan, Wei Gao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2019-09-22T01:51:11Z","title":"Subspace Clustering for Panel Data with Interactive Effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.09928","kind":"arxiv","version":2},"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":"sha256:12713c48b489f43619879ff1f5bab18c8594d28bcdb9c52403e694c9cf77562b","target":"record","created_at":"2026-07-05T02:18:14Z","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":"7d17ce3ed2431903599bbea2eadfec755ff45acbecfb3a60062752ce910f5649","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2019-09-22T01:51:11Z","title_canon_sha256":"3f150031cdc041bbf08488e08c1b26789a9c39341b7d901cfcfb997cd57e301a"},"schema_version":"1.0","source":{"id":"1909.09928","kind":"arxiv","version":2}},"canonical_sha256":"d7e6521c5a85b65d87653e7ee141df42989f7f4408228cc9d8102b8d61673a7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7e6521c5a85b65d87653e7ee141df42989f7f4408228cc9d8102b8d61673a7b","first_computed_at":"2026-07-05T02:18:14.041989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:18:14.041989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TJydQXJrQ/biTMFkiORHVutZitmMJMJd9urehN24RmggWrGYkJQeenUzun0YIBXsDVGL3PFFhn3537CVI9XJDw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:18:14.042421Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.09928","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12713c48b489f43619879ff1f5bab18c8594d28bcdb9c52403e694c9cf77562b","sha256:a2ce32e515ca22c0c678d09f1aed8ea90a60e00f247c7ad7ae745edac67d5852"],"state_sha256":"6215bef262efac5fa77398ac84e80e13c3e50869ac4ef90578d73bd01a290ad1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gc0evG3/9L33kpDxn3zPruHBt5HTwteJbT31pY7iNBq1OSkZ2Zkpl43fsEmN2lAGhd86gkOEnDCx4Nu4D/3NDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T09:26:31.622706Z","bundle_sha256":"dfa0dca99257d5e0ba47ef9bea0220a36fb1e1fa3b62f3a4ff0011b067445b13"}}