{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:XRCSHIESO4UPAUI6XQJJE42TDH","short_pith_number":"pith:XRCSHIES","canonical_record":{"source":{"id":"1903.03095","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-07T18:46:21Z","cross_cats_sorted":[],"title_canon_sha256":"8378b9dfa2a4999043d644dff46545a5a0a7bb4a5a4a3a799a36ee89da6455e0","abstract_canon_sha256":"edef7fca0e9a1a9ffd405e0ae4193457f38ede6c2081511c8bae9af2871ec2cd"},"schema_version":"1.0"},"canonical_sha256":"bc4523a0927728f0511ebc1292735319d2a055715d88e2d451de37818e1f5002","source":{"kind":"arxiv","id":"1903.03095","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.03095","created_at":"2026-05-17T23:51:50Z"},{"alias_kind":"arxiv_version","alias_value":"1903.03095v1","created_at":"2026-05-17T23:51:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.03095","created_at":"2026-05-17T23:51:50Z"},{"alias_kind":"pith_short_12","alias_value":"XRCSHIESO4UP","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"XRCSHIESO4UPAUI6","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"XRCSHIES","created_at":"2026-05-18T12:33:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:XRCSHIESO4UPAUI6XQJJE42TDH","target":"record","payload":{"canonical_record":{"source":{"id":"1903.03095","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-07T18:46:21Z","cross_cats_sorted":[],"title_canon_sha256":"8378b9dfa2a4999043d644dff46545a5a0a7bb4a5a4a3a799a36ee89da6455e0","abstract_canon_sha256":"edef7fca0e9a1a9ffd405e0ae4193457f38ede6c2081511c8bae9af2871ec2cd"},"schema_version":"1.0"},"canonical_sha256":"bc4523a0927728f0511ebc1292735319d2a055715d88e2d451de37818e1f5002","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:50.113771Z","signature_b64":"K1YY9NIMdLVOJ4pE0NQAa5wCGDF7/6QsCTgrIBG3lyIyIrOHRv3EEsRvmDySQ0jAt/pWhHeybhcMfkcH2u2aBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc4523a0927728f0511ebc1292735319d2a055715d88e2d451de37818e1f5002","last_reissued_at":"2026-05-17T23:51:50.113035Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:50.113035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.03095","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":"2026-05-17T23:51:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"11rZQDBXeBxZ+gAO6JFXQ6ycxXWTYj9Ou+sJ9fB2bAJ+7WoYXwSvm5aR7LfIijZdDqJuOtdDnuwMWljDq+fJCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:25:25.419466Z"},"content_sha256":"a1e57b544cc3984f18c6cc9dcf45c30252752b3aa1f1f5bd7dbf995b17a603b8","schema_version":"1.0","event_id":"sha256:a1e57b544cc3984f18c6cc9dcf45c30252752b3aa1f1f5bd7dbf995b17a603b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:XRCSHIESO4UPAUI6XQJJE42TDH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Shape-Driven Interpolation with Discontinuous Kernels: Error Analysis, Edge Extraction and Applications in MPI","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Emma Perracchione, Francesco Marchetti, Milvia Rossini, Stefano De Marchi, Wolfgang Erb","submitted_at":"2019-03-07T18:46:21Z","abstract_excerpt":"Accurate interpolation and approximation techniques for functions with discontinuities are key tools in many applications as, for instance, medical imaging. In this paper, we study an RBF type method for scattered data interpolation that incorporates discontinuities via a variable scaling function. For the construction of the discontinuous basis of kernel functions, information on the edges of the interpolated function is necessary. We characterize the native space spanned by these kernel functions and study error bounds in terms of the fill distance of the node set. To extract the location of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.03095","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":"2026-05-17T23:51:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VRGhU9blj42p39H/ipcgJiuk8haYHSTgxi4kfmsoB/S2RA4SSYjXTvxnzQcORVlwfZSUH/igDixVjpWfvae8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:25:25.420108Z"},"content_sha256":"3efa792bd45680dca2f06fa25fe6d8fbeaa5e627c6f16d010986ae33ecb11c4d","schema_version":"1.0","event_id":"sha256:3efa792bd45680dca2f06fa25fe6d8fbeaa5e627c6f16d010986ae33ecb11c4d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XRCSHIESO4UPAUI6XQJJE42TDH/bundle.json","state_url":"https://pith.science/pith/XRCSHIESO4UPAUI6XQJJE42TDH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XRCSHIESO4UPAUI6XQJJE42TDH/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":"2026-05-25T19:25:25Z","links":{"resolver":"https://pith.science/pith/XRCSHIESO4UPAUI6XQJJE42TDH","bundle":"https://pith.science/pith/XRCSHIESO4UPAUI6XQJJE42TDH/bundle.json","state":"https://pith.science/pith/XRCSHIESO4UPAUI6XQJJE42TDH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XRCSHIESO4UPAUI6XQJJE42TDH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:XRCSHIESO4UPAUI6XQJJE42TDH","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":"edef7fca0e9a1a9ffd405e0ae4193457f38ede6c2081511c8bae9af2871ec2cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-07T18:46:21Z","title_canon_sha256":"8378b9dfa2a4999043d644dff46545a5a0a7bb4a5a4a3a799a36ee89da6455e0"},"schema_version":"1.0","source":{"id":"1903.03095","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.03095","created_at":"2026-05-17T23:51:50Z"},{"alias_kind":"arxiv_version","alias_value":"1903.03095v1","created_at":"2026-05-17T23:51:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.03095","created_at":"2026-05-17T23:51:50Z"},{"alias_kind":"pith_short_12","alias_value":"XRCSHIESO4UP","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"XRCSHIESO4UPAUI6","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"XRCSHIES","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:3efa792bd45680dca2f06fa25fe6d8fbeaa5e627c6f16d010986ae33ecb11c4d","target":"graph","created_at":"2026-05-17T23:51:50Z","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":"Accurate interpolation and approximation techniques for functions with discontinuities are key tools in many applications as, for instance, medical imaging. In this paper, we study an RBF type method for scattered data interpolation that incorporates discontinuities via a variable scaling function. For the construction of the discontinuous basis of kernel functions, information on the edges of the interpolated function is necessary. We characterize the native space spanned by these kernel functions and study error bounds in terms of the fill distance of the node set. To extract the location of","authors_text":"Emma Perracchione, Francesco Marchetti, Milvia Rossini, Stefano De Marchi, Wolfgang Erb","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-07T18:46:21Z","title":"Shape-Driven Interpolation with Discontinuous Kernels: Error Analysis, Edge Extraction and Applications in MPI"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.03095","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:a1e57b544cc3984f18c6cc9dcf45c30252752b3aa1f1f5bd7dbf995b17a603b8","target":"record","created_at":"2026-05-17T23:51:50Z","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":"edef7fca0e9a1a9ffd405e0ae4193457f38ede6c2081511c8bae9af2871ec2cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-07T18:46:21Z","title_canon_sha256":"8378b9dfa2a4999043d644dff46545a5a0a7bb4a5a4a3a799a36ee89da6455e0"},"schema_version":"1.0","source":{"id":"1903.03095","kind":"arxiv","version":1}},"canonical_sha256":"bc4523a0927728f0511ebc1292735319d2a055715d88e2d451de37818e1f5002","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc4523a0927728f0511ebc1292735319d2a055715d88e2d451de37818e1f5002","first_computed_at":"2026-05-17T23:51:50.113035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:50.113035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K1YY9NIMdLVOJ4pE0NQAa5wCGDF7/6QsCTgrIBG3lyIyIrOHRv3EEsRvmDySQ0jAt/pWhHeybhcMfkcH2u2aBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:50.113771Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.03095","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1e57b544cc3984f18c6cc9dcf45c30252752b3aa1f1f5bd7dbf995b17a603b8","sha256:3efa792bd45680dca2f06fa25fe6d8fbeaa5e627c6f16d010986ae33ecb11c4d"],"state_sha256":"6ba3b576cd965ef5f4598d7e37a5be569a0aafc7deb4b22ea1b4dc4b1761cb99"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9sqOGUXEg8u4wEPagzNBLeKMF45yLyD6eYQV7dPPurjGhJefv2YqoScGpwljNTWXw3aqDduODhnsgR5GacOJCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:25:25.423824Z","bundle_sha256":"b90a50024aa71fb7f02d13b9858f18bc5e85d2e52df6f9e642c9fdb73a86b23b"}}