{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ADTTQKBKAC67WPLZVBGWPEVZTO","short_pith_number":"pith:ADTTQKBK","canonical_record":{"source":{"id":"2406.00128","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-05-31T18:38:03Z","cross_cats_sorted":["stat.ME","stat.TH"],"title_canon_sha256":"c2603bb2fbef2f7efa4dec03ca0d8fddfcdcfe665532acaf7aa2257fe29b4c2c","abstract_canon_sha256":"b933d5bc5db7df3f7e1e99537b055a593f4b9bc367cc691178f2d757c9590bcf"},"schema_version":"1.0"},"canonical_sha256":"00e738282a00bdfb3d79a84d6792b99b9ad5d4d17f9a91599df217b91c5dacf8","source":{"kind":"arxiv","id":"2406.00128","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00128","created_at":"2026-07-05T08:25:57Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00128v1","created_at":"2026-07-05T08:25:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00128","created_at":"2026-07-05T08:25:57Z"},{"alias_kind":"pith_short_12","alias_value":"ADTTQKBKAC67","created_at":"2026-07-05T08:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"ADTTQKBKAC67WPLZ","created_at":"2026-07-05T08:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"ADTTQKBK","created_at":"2026-07-05T08:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ADTTQKBKAC67WPLZVBGWPEVZTO","target":"record","payload":{"canonical_record":{"source":{"id":"2406.00128","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-05-31T18:38:03Z","cross_cats_sorted":["stat.ME","stat.TH"],"title_canon_sha256":"c2603bb2fbef2f7efa4dec03ca0d8fddfcdcfe665532acaf7aa2257fe29b4c2c","abstract_canon_sha256":"b933d5bc5db7df3f7e1e99537b055a593f4b9bc367cc691178f2d757c9590bcf"},"schema_version":"1.0"},"canonical_sha256":"00e738282a00bdfb3d79a84d6792b99b9ad5d4d17f9a91599df217b91c5dacf8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:25:57.315053Z","signature_b64":"Rycw0z/LSG2Pj6/nJRdKHA/y079QAYqYvO/Sns1XDNIPU0d9asV1U1x9h5DTflAV7Xho95gofNZZOxGFDM6JAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00e738282a00bdfb3d79a84d6792b99b9ad5d4d17f9a91599df217b91c5dacf8","last_reissued_at":"2026-07-05T08:25:57.314288Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:25:57.314288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.00128","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":"2026-07-05T08:25:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nFirQxN8GIpoTkGqQEvFGwRXlD1U8EspwvjvDggMJ61fO5FkmWteLkiSHw4bdu/quOK3JZVPvko+vZ7oRtjOAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T20:08:44.400309Z"},"content_sha256":"8ad1bb7d7a9b0c1bf188d59112b033dbe0ebee8fbd15560037c8fb88b0b538a4","schema_version":"1.0","event_id":"sha256:8ad1bb7d7a9b0c1bf188d59112b033dbe0ebee8fbd15560037c8fb88b0b538a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ADTTQKBKAC67WPLZVBGWPEVZTO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Matrix-valued Factor Model with Time-varying Main Effects","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Clifford Lam, Zetai Cen","submitted_at":"2024-05-31T18:38:03Z","abstract_excerpt":"We introduce the matrix-valued time-varying Main Effects Factor Model (MEFM). MEFM is a generalization to the traditional matrix-valued factor model (FM). We give rigorous definitions of MEFM and its identifications, and propose estimators for the time-varying grand mean, row and column main effects, and the row and column factor loading matrices for the common component. Rates of convergence for different estimators are spelt out, with asymptotic normality shown. The core rank estimator for the common component is also proposed, with consistency of the estimators presented. We propose a test "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00128","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/2406.00128/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":"2026-07-05T08:25:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t2yjac2ySEh4N45I/EcNqtlNP2YGYAozlavhfJr/pRFxR/XjrEEoez+fwLsND0oD4DYTq5AIyWBzkrQ1OJq5BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T20:08:44.401313Z"},"content_sha256":"903a046deffcb031e6c4944f5266bba595c6e552db0dff33f62e56663b36b538","schema_version":"1.0","event_id":"sha256:903a046deffcb031e6c4944f5266bba595c6e552db0dff33f62e56663b36b538"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ADTTQKBKAC67WPLZVBGWPEVZTO/bundle.json","state_url":"https://pith.science/pith/ADTTQKBKAC67WPLZVBGWPEVZTO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ADTTQKBKAC67WPLZVBGWPEVZTO/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":"2026-08-19T20:08:44Z","links":{"resolver":"https://pith.science/pith/ADTTQKBKAC67WPLZVBGWPEVZTO","bundle":"https://pith.science/pith/ADTTQKBKAC67WPLZVBGWPEVZTO/bundle.json","state":"https://pith.science/pith/ADTTQKBKAC67WPLZVBGWPEVZTO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ADTTQKBKAC67WPLZVBGWPEVZTO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ADTTQKBKAC67WPLZVBGWPEVZTO","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":"b933d5bc5db7df3f7e1e99537b055a593f4b9bc367cc691178f2d757c9590bcf","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-05-31T18:38:03Z","title_canon_sha256":"c2603bb2fbef2f7efa4dec03ca0d8fddfcdcfe665532acaf7aa2257fe29b4c2c"},"schema_version":"1.0","source":{"id":"2406.00128","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00128","created_at":"2026-07-05T08:25:57Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00128v1","created_at":"2026-07-05T08:25:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00128","created_at":"2026-07-05T08:25:57Z"},{"alias_kind":"pith_short_12","alias_value":"ADTTQKBKAC67","created_at":"2026-07-05T08:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"ADTTQKBKAC67WPLZ","created_at":"2026-07-05T08:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"ADTTQKBK","created_at":"2026-07-05T08:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:903a046deffcb031e6c4944f5266bba595c6e552db0dff33f62e56663b36b538","target":"graph","created_at":"2026-07-05T08:25:57Z","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/2406.00128/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the matrix-valued time-varying Main Effects Factor Model (MEFM). MEFM is a generalization to the traditional matrix-valued factor model (FM). We give rigorous definitions of MEFM and its identifications, and propose estimators for the time-varying grand mean, row and column main effects, and the row and column factor loading matrices for the common component. Rates of convergence for different estimators are spelt out, with asymptotic normality shown. The core rank estimator for the common component is also proposed, with consistency of the estimators presented. We propose a test ","authors_text":"Clifford Lam, Zetai Cen","cross_cats":["stat.ME","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-05-31T18:38:03Z","title":"Matrix-valued Factor Model with Time-varying Main Effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00128","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":"sha256:8ad1bb7d7a9b0c1bf188d59112b033dbe0ebee8fbd15560037c8fb88b0b538a4","target":"record","created_at":"2026-07-05T08:25:57Z","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":"b933d5bc5db7df3f7e1e99537b055a593f4b9bc367cc691178f2d757c9590bcf","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-05-31T18:38:03Z","title_canon_sha256":"c2603bb2fbef2f7efa4dec03ca0d8fddfcdcfe665532acaf7aa2257fe29b4c2c"},"schema_version":"1.0","source":{"id":"2406.00128","kind":"arxiv","version":1}},"canonical_sha256":"00e738282a00bdfb3d79a84d6792b99b9ad5d4d17f9a91599df217b91c5dacf8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00e738282a00bdfb3d79a84d6792b99b9ad5d4d17f9a91599df217b91c5dacf8","first_computed_at":"2026-07-05T08:25:57.314288Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:25:57.314288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rycw0z/LSG2Pj6/nJRdKHA/y079QAYqYvO/Sns1XDNIPU0d9asV1U1x9h5DTflAV7Xho95gofNZZOxGFDM6JAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:25:57.315053Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.00128","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ad1bb7d7a9b0c1bf188d59112b033dbe0ebee8fbd15560037c8fb88b0b538a4","sha256:903a046deffcb031e6c4944f5266bba595c6e552db0dff33f62e56663b36b538"],"state_sha256":"e6deba3afe94fbf24e1d405d83db00204cc67d3142baa1b6f06789afdb3a427b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bpVDXztzTycA3JY20UIyWqwzuoxZXZ0mbhyRFAIZl66ovohYsjwzyA58xKDXLDkUZWYNHD9qOsQMpHZ3zGiiAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T20:08:44.406990Z","bundle_sha256":"4af21b8df134fafa170daf289738b185613535ca33bd497923b696032067ce75"}}