{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:2264FEJQPMXVFMX6ACK6K43IDG","short_pith_number":"pith:2264FEJQ","schema_version":"1.0","canonical_sha256":"d6bdc291307b2f52b2fe0095e57368198fabc083cded4974e420b46a019a8a23","source":{"kind":"arxiv","id":"2412.11610","version":1},"attestation_state":"computed","paper":{"title":"Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\\`eve expansion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Iason Papaioannou, Kazunori Fujisawa, Michael Conrad Koch, Tatsuya Shibata","submitted_at":"2024-12-16T09:50:33Z","abstract_excerpt":"Detection of abrupt spatial changes in physical properties representing unique geometric features such as buried objects, cavities, and fractures is an important problem in geophysics and many engineering disciplines. In this context, simultaneous spatial field and geometry estimation methods that explicitly parameterize the background spatial field and the geometry of the embedded anomalies are of great interest. This paper introduces an advanced inversion procedure for simultaneous estimation using the domain independence property of the Karhunen-Lo\\`eve (K-L) expansion. Previous methods pur"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2412.11610","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2024-12-16T09:50:33Z","cross_cats_sorted":[],"title_canon_sha256":"08a2c7bd00ea7441609423f5a4902729cfdd41076cdee24936ba5fd465669284","abstract_canon_sha256":"f2e07795ee1ac1199df1baedf2ba945f92dd593a9ba3fc522d6ba62b4475a00a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:49:48.406496Z","signature_b64":"aZNtG3Gnsel24wC7w6cmjxI0Ewso313fDu1T0nuLEA0dIyCf2nU1SGXcv0UuvQempuc3FlSr92ihpS/EVcWRCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6bdc291307b2f52b2fe0095e57368198fabc083cded4974e420b46a019a8a23","last_reissued_at":"2026-07-05T09:49:48.406068Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:49:48.406068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\\`eve expansion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Iason Papaioannou, Kazunori Fujisawa, Michael Conrad Koch, Tatsuya Shibata","submitted_at":"2024-12-16T09:50:33Z","abstract_excerpt":"Detection of abrupt spatial changes in physical properties representing unique geometric features such as buried objects, cavities, and fractures is an important problem in geophysics and many engineering disciplines. In this context, simultaneous spatial field and geometry estimation methods that explicitly parameterize the background spatial field and the geometry of the embedded anomalies are of great interest. This paper introduces an advanced inversion procedure for simultaneous estimation using the domain independence property of the Karhunen-Lo\\`eve (K-L) expansion. Previous methods pur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.11610","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/2412.11610/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2412.11610","created_at":"2026-07-05T09:49:48.406127+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.11610v1","created_at":"2026-07-05T09:49:48.406127+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.11610","created_at":"2026-07-05T09:49:48.406127+00:00"},{"alias_kind":"pith_short_12","alias_value":"2264FEJQPMXV","created_at":"2026-07-05T09:49:48.406127+00:00"},{"alias_kind":"pith_short_16","alias_value":"2264FEJQPMXVFMX6","created_at":"2026-07-05T09:49:48.406127+00:00"},{"alias_kind":"pith_short_8","alias_value":"2264FEJQ","created_at":"2026-07-05T09:49:48.406127+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2264FEJQPMXVFMX6ACK6K43IDG","json":"https://pith.science/pith/2264FEJQPMXVFMX6ACK6K43IDG.json","graph_json":"https://pith.science/api/pith-number/2264FEJQPMXVFMX6ACK6K43IDG/graph.json","events_json":"https://pith.science/api/pith-number/2264FEJQPMXVFMX6ACK6K43IDG/events.json","paper":"https://pith.science/paper/2264FEJQ"},"agent_actions":{"view_html":"https://pith.science/pith/2264FEJQPMXVFMX6ACK6K43IDG","download_json":"https://pith.science/pith/2264FEJQPMXVFMX6ACK6K43IDG.json","view_paper":"https://pith.science/paper/2264FEJQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.11610&json=true","fetch_graph":"https://pith.science/api/pith-number/2264FEJQPMXVFMX6ACK6K43IDG/graph.json","fetch_events":"https://pith.science/api/pith-number/2264FEJQPMXVFMX6ACK6K43IDG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2264FEJQPMXVFMX6ACK6K43IDG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2264FEJQPMXVFMX6ACK6K43IDG/action/storage_attestation","attest_author":"https://pith.science/pith/2264FEJQPMXVFMX6ACK6K43IDG/action/author_attestation","sign_citation":"https://pith.science/pith/2264FEJQPMXVFMX6ACK6K43IDG/action/citation_signature","submit_replication":"https://pith.science/pith/2264FEJQPMXVFMX6ACK6K43IDG/action/replication_record"}},"created_at":"2026-07-05T09:49:48.406127+00:00","updated_at":"2026-07-05T09:49:48.406127+00:00"}