{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:UQ5RDDSJ5E7A7XYTNDEYQBK57U","short_pith_number":"pith:UQ5RDDSJ","canonical_record":{"source":{"id":"1807.05600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-07-15T19:35:46Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"186eafd3bb9b5bc396b9220b91954e56c3abe84fbc7d1fa453735120d4e606ad","abstract_canon_sha256":"294f0c1646fddcb1c2b5afe9b1df7864fa349ce824244c89f4c1bd967f4a613a"},"schema_version":"1.0"},"canonical_sha256":"a43b118e49e93e0fdf1368c988055dfd2214bb512dc0dccde442a213d94d03f6","source":{"kind":"arxiv","id":"1807.05600","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05600","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05600v1","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05600","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"pith_short_12","alias_value":"UQ5RDDSJ5E7A","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UQ5RDDSJ5E7A7XYT","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UQ5RDDSJ","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:UQ5RDDSJ5E7A7XYTNDEYQBK57U","target":"record","payload":{"canonical_record":{"source":{"id":"1807.05600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-07-15T19:35:46Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"186eafd3bb9b5bc396b9220b91954e56c3abe84fbc7d1fa453735120d4e606ad","abstract_canon_sha256":"294f0c1646fddcb1c2b5afe9b1df7864fa349ce824244c89f4c1bd967f4a613a"},"schema_version":"1.0"},"canonical_sha256":"a43b118e49e93e0fdf1368c988055dfd2214bb512dc0dccde442a213d94d03f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:44.237745Z","signature_b64":"ML5+m927dI3vT35ru3yN6EH/KGyHHffruDBJZ2mcgOYeHWoHgInJkgSYsh9g0YiEopDYsWfhhErKy74ZvlmCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a43b118e49e93e0fdf1368c988055dfd2214bb512dc0dccde442a213d94d03f6","last_reissued_at":"2026-05-17T23:47:44.236918Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:44.236918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.05600","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":"2026-05-17T23:47:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UADtlUTbuuaKlnfdoI2tm7i2q0A88svAloGavyom+4wMnhpzRnNd0i5ABibP8U6aSPh6cze9lEAhYur8MNEHCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T10:46:38.418793Z"},"content_sha256":"50d3d7fdf1c1d4d8a4f937d592530d181fd2a880fbc1249b5feead5c8ba49e86","schema_version":"1.0","event_id":"sha256:50d3d7fdf1c1d4d8a4f937d592530d181fd2a880fbc1249b5feead5c8ba49e86"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:UQ5RDDSJ5E7A7XYTNDEYQBK57U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modeling Daily Seasonality of Mexico City Ozone using Nonseparable Covariance Models on Circles Cross Time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME"],"primary_cat":"stat.AP","authors_text":"Emilio Porcu, Philip A. White","submitted_at":"2018-07-15T19:35:46Z","abstract_excerpt":"Mexico City tracks ground-level ozone levels to assess compliance with national ambient air quality standards and to prevent environmental health emergencies. Ozone levels show distinct daily patterns, within the city, and over the course of the year. To model these data, we use covariance models over space, circular time, and linear time. We review existing models and develop new classes of nonseparable covariance models of this type, models appropriate for quasi-periodic data collected at many locations. With these covariance models, we use nearest-neighbor Gaussian processes to predict hour"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05600","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":"2026-05-17T23:47:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r51IGaEUI81EkZJJ60HxWo0SJQNQr5N7FME4/Ar7RV/nYUmuGIjiD34ejCcA3/etFa6TcutaHQktyIS4T/sRBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T10:46:38.419134Z"},"content_sha256":"f9bcbfc3eca24c04772d167c61412755eeac70484db4fc3b3c618d1491c18fb9","schema_version":"1.0","event_id":"sha256:f9bcbfc3eca24c04772d167c61412755eeac70484db4fc3b3c618d1491c18fb9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UQ5RDDSJ5E7A7XYTNDEYQBK57U/bundle.json","state_url":"https://pith.science/pith/UQ5RDDSJ5E7A7XYTNDEYQBK57U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UQ5RDDSJ5E7A7XYTNDEYQBK57U/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":"2026-06-21T10:46:38Z","links":{"resolver":"https://pith.science/pith/UQ5RDDSJ5E7A7XYTNDEYQBK57U","bundle":"https://pith.science/pith/UQ5RDDSJ5E7A7XYTNDEYQBK57U/bundle.json","state":"https://pith.science/pith/UQ5RDDSJ5E7A7XYTNDEYQBK57U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UQ5RDDSJ5E7A7XYTNDEYQBK57U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:UQ5RDDSJ5E7A7XYTNDEYQBK57U","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":"294f0c1646fddcb1c2b5afe9b1df7864fa349ce824244c89f4c1bd967f4a613a","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-07-15T19:35:46Z","title_canon_sha256":"186eafd3bb9b5bc396b9220b91954e56c3abe84fbc7d1fa453735120d4e606ad"},"schema_version":"1.0","source":{"id":"1807.05600","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05600","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05600v1","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05600","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"pith_short_12","alias_value":"UQ5RDDSJ5E7A","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UQ5RDDSJ5E7A7XYT","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UQ5RDDSJ","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:f9bcbfc3eca24c04772d167c61412755eeac70484db4fc3b3c618d1491c18fb9","target":"graph","created_at":"2026-05-17T23:47:44Z","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":"Mexico City tracks ground-level ozone levels to assess compliance with national ambient air quality standards and to prevent environmental health emergencies. Ozone levels show distinct daily patterns, within the city, and over the course of the year. To model these data, we use covariance models over space, circular time, and linear time. We review existing models and develop new classes of nonseparable covariance models of this type, models appropriate for quasi-periodic data collected at many locations. With these covariance models, we use nearest-neighbor Gaussian processes to predict hour","authors_text":"Emilio Porcu, Philip A. White","cross_cats":["stat.ME"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-07-15T19:35:46Z","title":"Modeling Daily Seasonality of Mexico City Ozone using Nonseparable Covariance Models on Circles Cross Time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05600","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":"sha256:50d3d7fdf1c1d4d8a4f937d592530d181fd2a880fbc1249b5feead5c8ba49e86","target":"record","created_at":"2026-05-17T23:47:44Z","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":"294f0c1646fddcb1c2b5afe9b1df7864fa349ce824244c89f4c1bd967f4a613a","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-07-15T19:35:46Z","title_canon_sha256":"186eafd3bb9b5bc396b9220b91954e56c3abe84fbc7d1fa453735120d4e606ad"},"schema_version":"1.0","source":{"id":"1807.05600","kind":"arxiv","version":1}},"canonical_sha256":"a43b118e49e93e0fdf1368c988055dfd2214bb512dc0dccde442a213d94d03f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a43b118e49e93e0fdf1368c988055dfd2214bb512dc0dccde442a213d94d03f6","first_computed_at":"2026-05-17T23:47:44.236918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:44.236918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ML5+m927dI3vT35ru3yN6EH/KGyHHffruDBJZ2mcgOYeHWoHgInJkgSYsh9g0YiEopDYsWfhhErKy74ZvlmCCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:44.237745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.05600","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50d3d7fdf1c1d4d8a4f937d592530d181fd2a880fbc1249b5feead5c8ba49e86","sha256:f9bcbfc3eca24c04772d167c61412755eeac70484db4fc3b3c618d1491c18fb9"],"state_sha256":"f2f9785a5231ea289cd1480020590f2d7045709f26c82442ae9e8c9e164ec9e6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C0/9jpu7673DcDukYRRsv8qQCNM1PZuKlkPp8i+czp4VIqJ5g5iIIDmF8up4vXWPmA5sa2NhtB08cJHtaLSxCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T10:46:38.421064Z","bundle_sha256":"45708dc5c9bae2e4803282b3b867f4596f08128b7d4c5066a4aa369961e8b7b2"}}