{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZIAIPGJB6R5OCFJUAPSYHUJVIG","short_pith_number":"pith:ZIAIPGJB","canonical_record":{"source":{"id":"1211.3813","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T07:40:35Z","cross_cats_sorted":[],"title_canon_sha256":"56b7ea4e589f0a2986554431cce115828cdd36419c5254f7eeadf0b3422445e0","abstract_canon_sha256":"9fda9144905c2459ded9b51b498bcef9aaceea503ba5e9ccfb65789bdd0f7433"},"schema_version":"1.0"},"canonical_sha256":"ca00879921f47ae1153403e583d13541bb88d72c772c8e10be9da9ac76f1828d","source":{"kind":"arxiv","id":"1211.3813","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3813","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3813v2","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3813","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"pith_short_12","alias_value":"ZIAIPGJB6R5O","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZIAIPGJB6R5OCFJU","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZIAIPGJB","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZIAIPGJB6R5OCFJUAPSYHUJVIG","target":"record","payload":{"canonical_record":{"source":{"id":"1211.3813","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T07:40:35Z","cross_cats_sorted":[],"title_canon_sha256":"56b7ea4e589f0a2986554431cce115828cdd36419c5254f7eeadf0b3422445e0","abstract_canon_sha256":"9fda9144905c2459ded9b51b498bcef9aaceea503ba5e9ccfb65789bdd0f7433"},"schema_version":"1.0"},"canonical_sha256":"ca00879921f47ae1153403e583d13541bb88d72c772c8e10be9da9ac76f1828d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:21.676057Z","signature_b64":"RX3wsfwdiRUX8lcrAAleJobOTkhxaCJvKiNM6iNAQepxgksrJfS9jesxR77oA5PPCyjLFlc466Ydu4IiMgiACw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca00879921f47ae1153403e583d13541bb88d72c772c8e10be9da9ac76f1828d","last_reissued_at":"2026-05-18T02:54:21.675576Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:21.675576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.3813","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":"2026-05-18T02:54:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KLHNPVRCvx4SWKg+HWJsIc1pTUPWMiLnxfNBWei6J5eLbmq9BzwgLDperCJVY1W3AIiK36hbiDKfIaoW3ZLRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:53:32.592592Z"},"content_sha256":"409f071c669071d24c798bad3c262c1813f8593e3de63b0049fb3e5abeb666d9","schema_version":"1.0","event_id":"sha256:409f071c669071d24c798bad3c262c1813f8593e3de63b0049fb3e5abeb666d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZIAIPGJB6R5OCFJUAPSYHUJVIG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Separable factor analysis with applications to mortality data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Bailey K. Fosdick, Peter D. Hoff","submitted_at":"2012-11-16T07:40:35Z","abstract_excerpt":"Human mortality data sets can be expressed as multiway data arrays, the dimensions of which correspond to categories by which mortality rates are reported, such as age, sex, country and year. Regression models for such data typically assume an independent error distribution or an error model that allows for dependence along at most one or two dimensions of the data array. However, failing to account for other dependencies can lead to inefficient estimates of regression parameters, inaccurate standard errors and poor predictions. An alternative to assuming independent errors is to allow for dep"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3813","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":""},"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":"2026-05-18T02:54:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UJxcYAfPj6h9zSL42RPOPUtGWe2Bx2uWIDV2edHoUJumMgvIOpyMTv8pYEht4Nfm2HOx6LLrKrcHNFe/BMBbAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:53:32.593232Z"},"content_sha256":"52ff6e802c1fd693de0892bd9d03cfb871ff48a717c66fbd5bf92130c3e155ac","schema_version":"1.0","event_id":"sha256:52ff6e802c1fd693de0892bd9d03cfb871ff48a717c66fbd5bf92130c3e155ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZIAIPGJB6R5OCFJUAPSYHUJVIG/bundle.json","state_url":"https://pith.science/pith/ZIAIPGJB6R5OCFJUAPSYHUJVIG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZIAIPGJB6R5OCFJUAPSYHUJVIG/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":"2026-05-27T21:53:32Z","links":{"resolver":"https://pith.science/pith/ZIAIPGJB6R5OCFJUAPSYHUJVIG","bundle":"https://pith.science/pith/ZIAIPGJB6R5OCFJUAPSYHUJVIG/bundle.json","state":"https://pith.science/pith/ZIAIPGJB6R5OCFJUAPSYHUJVIG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZIAIPGJB6R5OCFJUAPSYHUJVIG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZIAIPGJB6R5OCFJUAPSYHUJVIG","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":"9fda9144905c2459ded9b51b498bcef9aaceea503ba5e9ccfb65789bdd0f7433","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T07:40:35Z","title_canon_sha256":"56b7ea4e589f0a2986554431cce115828cdd36419c5254f7eeadf0b3422445e0"},"schema_version":"1.0","source":{"id":"1211.3813","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3813","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3813v2","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3813","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"pith_short_12","alias_value":"ZIAIPGJB6R5O","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZIAIPGJB6R5OCFJU","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZIAIPGJB","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:52ff6e802c1fd693de0892bd9d03cfb871ff48a717c66fbd5bf92130c3e155ac","target":"graph","created_at":"2026-05-18T02:54:21Z","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"},"paper":{"abstract_excerpt":"Human mortality data sets can be expressed as multiway data arrays, the dimensions of which correspond to categories by which mortality rates are reported, such as age, sex, country and year. Regression models for such data typically assume an independent error distribution or an error model that allows for dependence along at most one or two dimensions of the data array. However, failing to account for other dependencies can lead to inefficient estimates of regression parameters, inaccurate standard errors and poor predictions. An alternative to assuming independent errors is to allow for dep","authors_text":"Bailey K. Fosdick, Peter D. Hoff","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T07:40:35Z","title":"Separable factor analysis with applications to mortality data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3813","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":"sha256:409f071c669071d24c798bad3c262c1813f8593e3de63b0049fb3e5abeb666d9","target":"record","created_at":"2026-05-18T02:54:21Z","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":"9fda9144905c2459ded9b51b498bcef9aaceea503ba5e9ccfb65789bdd0f7433","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T07:40:35Z","title_canon_sha256":"56b7ea4e589f0a2986554431cce115828cdd36419c5254f7eeadf0b3422445e0"},"schema_version":"1.0","source":{"id":"1211.3813","kind":"arxiv","version":2}},"canonical_sha256":"ca00879921f47ae1153403e583d13541bb88d72c772c8e10be9da9ac76f1828d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca00879921f47ae1153403e583d13541bb88d72c772c8e10be9da9ac76f1828d","first_computed_at":"2026-05-18T02:54:21.675576Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:21.675576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RX3wsfwdiRUX8lcrAAleJobOTkhxaCJvKiNM6iNAQepxgksrJfS9jesxR77oA5PPCyjLFlc466Ydu4IiMgiACw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:21.676057Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.3813","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:409f071c669071d24c798bad3c262c1813f8593e3de63b0049fb3e5abeb666d9","sha256:52ff6e802c1fd693de0892bd9d03cfb871ff48a717c66fbd5bf92130c3e155ac"],"state_sha256":"4c4caeb1fca74249adbf14d07f9e9462e9363fc312f2841e887197cde233f7a6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ZTj9Srpfv0cq4LCLXiAmn7/Xzz9lhKKPbjk/d9tQn8LaLuwABNQxkUzsD2ZJbUch7HK/e35F1AI8fA6zb8VBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:53:32.596548Z","bundle_sha256":"1466a5913b63d3b5212352d80111f91b38c4b53ef5fc8f827bd1efca521f75d9"}}