{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:LFEIOHXOTCXFOC5M7E75BR5UEV","short_pith_number":"pith:LFEIOHXO","schema_version":"1.0","canonical_sha256":"5948871eee98ae570bacf93fd0c7b4256e588e3733a9bed42de64343c02a5e50","source":{"kind":"arxiv","id":"2506.00947","version":1},"attestation_state":"computed","paper":{"title":"Deformable registration and generative modelling of aortic anatomies by auto-decoders and neural ODEs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"cs.CV","authors_text":"Alison L. Marsden, Fanwei Kong, Francesco Regazzoni, Luca Pegolotti, Riccardo Tenderini, Simone Deparis, Stefano Pagani","submitted_at":"2025-06-01T10:30:58Z","abstract_excerpt":"This work introduces AD-SVFD, a deep learning model for the deformable registration of vascular shapes to a pre-defined reference and for the generation of synthetic anatomies. AD-SVFD operates by representing each geometry as a weighted point cloud and models ambient space deformations as solutions at unit time of ODEs, whose time-independent right-hand sides are expressed through artificial neural networks. The model parameters are optimized by minimizing the Chamfer Distance between the deformed and reference point clouds, while backward integration of the ODE defines the inverse transforma"},"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":"2506.00947","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2025-06-01T10:30:58Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"38881b1704b1266a2e639093ae2b7dd4c47e0a32defc64cc070507c53c973108","abstract_canon_sha256":"8acefaf454cee2a5f44c7e029dcb4eafdddf1f05d82e1d1893eda45539775e58"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:13:43.302835Z","signature_b64":"Cgg7Sz1IxLo/6/LGqa0liVXcbRt3U0haqgpSAJxa9Oowu4PwQ+y1YteJbXtVk4v8qZp8eYEa/Yil3A3GDbmeCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5948871eee98ae570bacf93fd0c7b4256e588e3733a9bed42de64343c02a5e50","last_reissued_at":"2026-07-05T11:13:43.302388Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:13:43.302388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deformable registration and generative modelling of aortic anatomies by auto-decoders and neural ODEs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"cs.CV","authors_text":"Alison L. Marsden, Fanwei Kong, Francesco Regazzoni, Luca Pegolotti, Riccardo Tenderini, Simone Deparis, Stefano Pagani","submitted_at":"2025-06-01T10:30:58Z","abstract_excerpt":"This work introduces AD-SVFD, a deep learning model for the deformable registration of vascular shapes to a pre-defined reference and for the generation of synthetic anatomies. AD-SVFD operates by representing each geometry as a weighted point cloud and models ambient space deformations as solutions at unit time of ODEs, whose time-independent right-hand sides are expressed through artificial neural networks. The model parameters are optimized by minimizing the Chamfer Distance between the deformed and reference point clouds, while backward integration of the ODE defines the inverse transforma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00947","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/2506.00947/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":"2506.00947","created_at":"2026-07-05T11:13:43.302446+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.00947v1","created_at":"2026-07-05T11:13:43.302446+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00947","created_at":"2026-07-05T11:13:43.302446+00:00"},{"alias_kind":"pith_short_12","alias_value":"LFEIOHXOTCXF","created_at":"2026-07-05T11:13:43.302446+00:00"},{"alias_kind":"pith_short_16","alias_value":"LFEIOHXOTCXFOC5M","created_at":"2026-07-05T11:13:43.302446+00:00"},{"alias_kind":"pith_short_8","alias_value":"LFEIOHXO","created_at":"2026-07-05T11:13:43.302446+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/LFEIOHXOTCXFOC5M7E75BR5UEV","json":"https://pith.science/pith/LFEIOHXOTCXFOC5M7E75BR5UEV.json","graph_json":"https://pith.science/api/pith-number/LFEIOHXOTCXFOC5M7E75BR5UEV/graph.json","events_json":"https://pith.science/api/pith-number/LFEIOHXOTCXFOC5M7E75BR5UEV/events.json","paper":"https://pith.science/paper/LFEIOHXO"},"agent_actions":{"view_html":"https://pith.science/pith/LFEIOHXOTCXFOC5M7E75BR5UEV","download_json":"https://pith.science/pith/LFEIOHXOTCXFOC5M7E75BR5UEV.json","view_paper":"https://pith.science/paper/LFEIOHXO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.00947&json=true","fetch_graph":"https://pith.science/api/pith-number/LFEIOHXOTCXFOC5M7E75BR5UEV/graph.json","fetch_events":"https://pith.science/api/pith-number/LFEIOHXOTCXFOC5M7E75BR5UEV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LFEIOHXOTCXFOC5M7E75BR5UEV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LFEIOHXOTCXFOC5M7E75BR5UEV/action/storage_attestation","attest_author":"https://pith.science/pith/LFEIOHXOTCXFOC5M7E75BR5UEV/action/author_attestation","sign_citation":"https://pith.science/pith/LFEIOHXOTCXFOC5M7E75BR5UEV/action/citation_signature","submit_replication":"https://pith.science/pith/LFEIOHXOTCXFOC5M7E75BR5UEV/action/replication_record"}},"created_at":"2026-07-05T11:13:43.302446+00:00","updated_at":"2026-07-05T11:13:43.302446+00:00"}