{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:H7YSHXJO664A4DGSH6EHKCNLOT","short_pith_number":"pith:H7YSHXJO","canonical_record":{"source":{"id":"2406.03400","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-05T16:03:17Z","cross_cats_sorted":[],"title_canon_sha256":"d5ba031adc02e2504eb015d9463f93d2fe191212adef01c985a54a89d4e4514c","abstract_canon_sha256":"d0cc8f6e565b159bcff1220ae5dbcbffac2586e59b5f44d488c4024b2371ccad"},"schema_version":"1.0"},"canonical_sha256":"3ff123dd2ef7b80e0cd23f887509ab74d7fb571ad4ef7517ce3efbfcc6dfe710","source":{"kind":"arxiv","id":"2406.03400","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.03400","created_at":"2026-07-05T09:26:27Z"},{"alias_kind":"arxiv_version","alias_value":"2406.03400v2","created_at":"2026-07-05T09:26:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.03400","created_at":"2026-07-05T09:26:27Z"},{"alias_kind":"pith_short_12","alias_value":"H7YSHXJO664A","created_at":"2026-07-05T09:26:27Z"},{"alias_kind":"pith_short_16","alias_value":"H7YSHXJO664A4DGS","created_at":"2026-07-05T09:26:27Z"},{"alias_kind":"pith_short_8","alias_value":"H7YSHXJO","created_at":"2026-07-05T09:26:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:H7YSHXJO664A4DGSH6EHKCNLOT","target":"record","payload":{"canonical_record":{"source":{"id":"2406.03400","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-05T16:03:17Z","cross_cats_sorted":[],"title_canon_sha256":"d5ba031adc02e2504eb015d9463f93d2fe191212adef01c985a54a89d4e4514c","abstract_canon_sha256":"d0cc8f6e565b159bcff1220ae5dbcbffac2586e59b5f44d488c4024b2371ccad"},"schema_version":"1.0"},"canonical_sha256":"3ff123dd2ef7b80e0cd23f887509ab74d7fb571ad4ef7517ce3efbfcc6dfe710","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:26:27.684451Z","signature_b64":"7vSf9KbIDI2DvHhZr2sERtNcN324mvo2POTViNZO07kzlIhqq8ZGgHy9HZyyEijy7fkp7nAtZM3qK2zIwcbNCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ff123dd2ef7b80e0cd23f887509ab74d7fb571ad4ef7517ce3efbfcc6dfe710","last_reissued_at":"2026-07-05T09:26:27.683921Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:26:27.683921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.03400","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":"2026-07-05T09:26:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"88ZUvIQ6Pbs/MA8D7UimI/dtWHMKv9SeAkMOFocmpcDMXsrKnWafRrl7ApZH4gUDJpyVOgHGVQbpbjcnv2BvAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T00:33:04.150103Z"},"content_sha256":"35e65da1fbc56ee75dceaf17e8f5c8782aa976ea14f0a5d6265fc50e083da204","schema_version":"1.0","event_id":"sha256:35e65da1fbc56ee75dceaf17e8f5c8782aa976ea14f0a5d6265fc50e083da204"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:H7YSHXJO664A4DGSH6EHKCNLOT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-stationary Spatio-Temporal Modeling Using the Stochastic Advection-Diffusion Equation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Geir-Arne Fuglstad, Martin Outzen Berild","submitted_at":"2024-06-05T16:03:17Z","abstract_excerpt":"We construct flexible spatio-temporal models through stochastic partial differential equations (SPDEs) where both diffusion and advection can be spatially varying. Computations are done through a Gaussian Markov random field approximation of the solution of the SPDE, which is constructed through a finite volume method. The new flexible non-separable model is compared to a flexible separable model both for reconstruction and forecasting, and evaluated in terms of root mean square errors and continuous rank probability scores. A simulation study demonstrates that the non-separable model performs"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.03400","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/2406.03400/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":"2026-07-05T09:26:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IpLz3JhlIwJZRvsCxomcg/osvXlWKURUHxUVjwr6Yrme18qg0TuVxiA2L6cF1k+ye1HV5ohtXDnwf26IZyKmAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T00:33:04.150629Z"},"content_sha256":"92300ca0f7b7f7c5ec81b6a005905d7fdb3708bdfa65ea1e6bdceb9b2c0026d8","schema_version":"1.0","event_id":"sha256:92300ca0f7b7f7c5ec81b6a005905d7fdb3708bdfa65ea1e6bdceb9b2c0026d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H7YSHXJO664A4DGSH6EHKCNLOT/bundle.json","state_url":"https://pith.science/pith/H7YSHXJO664A4DGSH6EHKCNLOT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H7YSHXJO664A4DGSH6EHKCNLOT/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":"2026-08-21T00:33:04Z","links":{"resolver":"https://pith.science/pith/H7YSHXJO664A4DGSH6EHKCNLOT","bundle":"https://pith.science/pith/H7YSHXJO664A4DGSH6EHKCNLOT/bundle.json","state":"https://pith.science/pith/H7YSHXJO664A4DGSH6EHKCNLOT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H7YSHXJO664A4DGSH6EHKCNLOT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:H7YSHXJO664A4DGSH6EHKCNLOT","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":"d0cc8f6e565b159bcff1220ae5dbcbffac2586e59b5f44d488c4024b2371ccad","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-05T16:03:17Z","title_canon_sha256":"d5ba031adc02e2504eb015d9463f93d2fe191212adef01c985a54a89d4e4514c"},"schema_version":"1.0","source":{"id":"2406.03400","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.03400","created_at":"2026-07-05T09:26:27Z"},{"alias_kind":"arxiv_version","alias_value":"2406.03400v2","created_at":"2026-07-05T09:26:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.03400","created_at":"2026-07-05T09:26:27Z"},{"alias_kind":"pith_short_12","alias_value":"H7YSHXJO664A","created_at":"2026-07-05T09:26:27Z"},{"alias_kind":"pith_short_16","alias_value":"H7YSHXJO664A4DGS","created_at":"2026-07-05T09:26:27Z"},{"alias_kind":"pith_short_8","alias_value":"H7YSHXJO","created_at":"2026-07-05T09:26:27Z"}],"graph_snapshots":[{"event_id":"sha256:92300ca0f7b7f7c5ec81b6a005905d7fdb3708bdfa65ea1e6bdceb9b2c0026d8","target":"graph","created_at":"2026-07-05T09:26:27Z","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/2406.03400/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct flexible spatio-temporal models through stochastic partial differential equations (SPDEs) where both diffusion and advection can be spatially varying. Computations are done through a Gaussian Markov random field approximation of the solution of the SPDE, which is constructed through a finite volume method. The new flexible non-separable model is compared to a flexible separable model both for reconstruction and forecasting, and evaluated in terms of root mean square errors and continuous rank probability scores. A simulation study demonstrates that the non-separable model performs","authors_text":"Geir-Arne Fuglstad, Martin Outzen Berild","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-05T16:03:17Z","title":"Non-stationary Spatio-Temporal Modeling Using the Stochastic Advection-Diffusion Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.03400","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":"sha256:35e65da1fbc56ee75dceaf17e8f5c8782aa976ea14f0a5d6265fc50e083da204","target":"record","created_at":"2026-07-05T09:26:27Z","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":"d0cc8f6e565b159bcff1220ae5dbcbffac2586e59b5f44d488c4024b2371ccad","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-06-05T16:03:17Z","title_canon_sha256":"d5ba031adc02e2504eb015d9463f93d2fe191212adef01c985a54a89d4e4514c"},"schema_version":"1.0","source":{"id":"2406.03400","kind":"arxiv","version":2}},"canonical_sha256":"3ff123dd2ef7b80e0cd23f887509ab74d7fb571ad4ef7517ce3efbfcc6dfe710","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ff123dd2ef7b80e0cd23f887509ab74d7fb571ad4ef7517ce3efbfcc6dfe710","first_computed_at":"2026-07-05T09:26:27.683921Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:26:27.683921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7vSf9KbIDI2DvHhZr2sERtNcN324mvo2POTViNZO07kzlIhqq8ZGgHy9HZyyEijy7fkp7nAtZM3qK2zIwcbNCA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:26:27.684451Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.03400","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35e65da1fbc56ee75dceaf17e8f5c8782aa976ea14f0a5d6265fc50e083da204","sha256:92300ca0f7b7f7c5ec81b6a005905d7fdb3708bdfa65ea1e6bdceb9b2c0026d8"],"state_sha256":"b7edc663556f2a2426d4d1e193eae7fde7e06aee547f5e0445a3e60b0ab1c2d4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4oUyQEVOZEML+D0zMcaW0NqOCeJSRv3KeXP1/TMRVJCngQqTAHVYMdB2nhK5xgKhBIukShTNYzCugtUE6K6MDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T00:33:04.154566Z","bundle_sha256":"3ac5c0599cc32dde6794404caa01f1aae0cb8c3c8b773a3d79ab11a87fb8448a"}}