{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:B2UXEQ5XN4IMTPBCZD6UL7XNZU","short_pith_number":"pith:B2UXEQ5X","canonical_record":{"source":{"id":"1904.05636","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-04-11T11:30:06Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"9002b52ab29f1266969ca2d0561a8f801c0dbeed11757a9436fe37f997b2a9bc","abstract_canon_sha256":"08e9c95c2716bca2b86b5fd2cf7c320f027f5dd2bc21e2b40db71c639a9f6f4e"},"schema_version":"1.0"},"canonical_sha256":"0ea97243b76f10c9bc22c8fd45feedcd01f8388d6a81f45e51254a1702ceecea","source":{"kind":"arxiv","id":"1904.05636","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.05636","created_at":"2026-05-17T23:48:48Z"},{"alias_kind":"arxiv_version","alias_value":"1904.05636v1","created_at":"2026-05-17T23:48:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.05636","created_at":"2026-05-17T23:48:48Z"},{"alias_kind":"pith_short_12","alias_value":"B2UXEQ5XN4IM","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"B2UXEQ5XN4IMTPBC","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"B2UXEQ5X","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:B2UXEQ5XN4IMTPBCZD6UL7XNZU","target":"record","payload":{"canonical_record":{"source":{"id":"1904.05636","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-04-11T11:30:06Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"9002b52ab29f1266969ca2d0561a8f801c0dbeed11757a9436fe37f997b2a9bc","abstract_canon_sha256":"08e9c95c2716bca2b86b5fd2cf7c320f027f5dd2bc21e2b40db71c639a9f6f4e"},"schema_version":"1.0"},"canonical_sha256":"0ea97243b76f10c9bc22c8fd45feedcd01f8388d6a81f45e51254a1702ceecea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:48.893798Z","signature_b64":"Utwu60MYhqLiiwce2YZZAUAxBVsARekOTrUTknmTl0oK3ergFOciCdkqSwemV1v+B8gAb2Glx8rIZO2+jD2xDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ea97243b76f10c9bc22c8fd45feedcd01f8388d6a81f45e51254a1702ceecea","last_reissued_at":"2026-05-17T23:48:48.893397Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:48.893397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.05636","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":"2026-05-17T23:48:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vr8YdzQqOADd0px5poMxNlEHAFGM8xJHmzvxTs1jcVmMnwnYHm80iUN6OnB2qa9+opCnB7QUfOO/MKknZCfuCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:19:20.419963Z"},"content_sha256":"dd5131bb70fe011430a9001e5adc289034e46be8cdb9b18107fd3166dc4cd0b2","schema_version":"1.0","event_id":"sha256:dd5131bb70fe011430a9001e5adc289034e46be8cdb9b18107fd3166dc4cd0b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:B2UXEQ5XN4IMTPBCZD6UL7XNZU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robust Principal Component Analysis for Compositional Tables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.AP"],"primary_cat":"stat.ME","authors_text":"Julie Rendlov\\'a, Kamila Fa\\v{c}evicov\\'a, Karel Hron, Peter Filzmoser","submitted_at":"2019-04-11T11:30:06Z","abstract_excerpt":"A data table which is arranged according to two factors can often be considered as a compositional table. An example is the number of unemployed people, split according to gender and age classes. Analyzed as compositions, the relevant information would consist of ratios between different cells of such a table. This is particularly useful when analyzing several compositional tables jointly, where the absolute numbers are in very different ranges, e.g. if unemployment data are considered from different countries. Within the framework of the logratio methodology, compositional tables can be decom"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.05636","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":""},"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":"2026-05-17T23:48:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ybVt66Q+hto233CPgKIrov1QAyCx80I0tllJwQHBAZIQBtteUxrhAFv2umYZnVrkdYmTmEKvpP414JryRCOSCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:19:20.420330Z"},"content_sha256":"d18a88fcecf47567f9c2be607afce513f648612c159209e48ec74f69ce7c03ac","schema_version":"1.0","event_id":"sha256:d18a88fcecf47567f9c2be607afce513f648612c159209e48ec74f69ce7c03ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B2UXEQ5XN4IMTPBCZD6UL7XNZU/bundle.json","state_url":"https://pith.science/pith/B2UXEQ5XN4IMTPBCZD6UL7XNZU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B2UXEQ5XN4IMTPBCZD6UL7XNZU/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":"2026-06-05T15:19:20Z","links":{"resolver":"https://pith.science/pith/B2UXEQ5XN4IMTPBCZD6UL7XNZU","bundle":"https://pith.science/pith/B2UXEQ5XN4IMTPBCZD6UL7XNZU/bundle.json","state":"https://pith.science/pith/B2UXEQ5XN4IMTPBCZD6UL7XNZU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B2UXEQ5XN4IMTPBCZD6UL7XNZU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:B2UXEQ5XN4IMTPBCZD6UL7XNZU","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":"08e9c95c2716bca2b86b5fd2cf7c320f027f5dd2bc21e2b40db71c639a9f6f4e","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-04-11T11:30:06Z","title_canon_sha256":"9002b52ab29f1266969ca2d0561a8f801c0dbeed11757a9436fe37f997b2a9bc"},"schema_version":"1.0","source":{"id":"1904.05636","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.05636","created_at":"2026-05-17T23:48:48Z"},{"alias_kind":"arxiv_version","alias_value":"1904.05636v1","created_at":"2026-05-17T23:48:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.05636","created_at":"2026-05-17T23:48:48Z"},{"alias_kind":"pith_short_12","alias_value":"B2UXEQ5XN4IM","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"B2UXEQ5XN4IMTPBC","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"B2UXEQ5X","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:d18a88fcecf47567f9c2be607afce513f648612c159209e48ec74f69ce7c03ac","target":"graph","created_at":"2026-05-17T23:48:48Z","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":"A data table which is arranged according to two factors can often be considered as a compositional table. An example is the number of unemployed people, split according to gender and age classes. Analyzed as compositions, the relevant information would consist of ratios between different cells of such a table. This is particularly useful when analyzing several compositional tables jointly, where the absolute numbers are in very different ranges, e.g. if unemployment data are considered from different countries. Within the framework of the logratio methodology, compositional tables can be decom","authors_text":"Julie Rendlov\\'a, Kamila Fa\\v{c}evicov\\'a, Karel Hron, Peter Filzmoser","cross_cats":["stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-04-11T11:30:06Z","title":"Robust Principal Component Analysis for Compositional Tables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.05636","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:dd5131bb70fe011430a9001e5adc289034e46be8cdb9b18107fd3166dc4cd0b2","target":"record","created_at":"2026-05-17T23:48:48Z","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":"08e9c95c2716bca2b86b5fd2cf7c320f027f5dd2bc21e2b40db71c639a9f6f4e","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-04-11T11:30:06Z","title_canon_sha256":"9002b52ab29f1266969ca2d0561a8f801c0dbeed11757a9436fe37f997b2a9bc"},"schema_version":"1.0","source":{"id":"1904.05636","kind":"arxiv","version":1}},"canonical_sha256":"0ea97243b76f10c9bc22c8fd45feedcd01f8388d6a81f45e51254a1702ceecea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ea97243b76f10c9bc22c8fd45feedcd01f8388d6a81f45e51254a1702ceecea","first_computed_at":"2026-05-17T23:48:48.893397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:48.893397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Utwu60MYhqLiiwce2YZZAUAxBVsARekOTrUTknmTl0oK3ergFOciCdkqSwemV1v+B8gAb2Glx8rIZO2+jD2xDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:48.893798Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.05636","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd5131bb70fe011430a9001e5adc289034e46be8cdb9b18107fd3166dc4cd0b2","sha256:d18a88fcecf47567f9c2be607afce513f648612c159209e48ec74f69ce7c03ac"],"state_sha256":"02c3f0ee5f329058a1c8f94d468af9812e236cba8edad4f3bf28a34a2c652045"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UXw5Lik0xjpwpP2jEb7ep1O4mJUQQ7L7PeTdVOEv7536FGPSjAWNnQwuaBB7i6BlhO77Ah+E9+kDlsI4iYltBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T15:19:20.422293Z","bundle_sha256":"41640c132ba6f187a8261d5be84db442a8a642ce2afe89be708cf54bf7a1f407"}}