{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:62RLVOTF4XY5S6LOUFBTVJOXHP","short_pith_number":"pith:62RLVOTF","canonical_record":{"source":{"id":"1710.09243","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-25T14:09:47Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"59fc72dca2180ede400a6acabeeba6ef6ada26c981e8ed128348b774c3af5a04","abstract_canon_sha256":"b5c9b97653863947907b9d46ab39871ef8930f5809a11c9b0c601aeff59af6fa"},"schema_version":"1.0"},"canonical_sha256":"f6a2baba65e5f1d9796ea1433aa5d73bd518acd1ceeabc59514c7f7c7d18ee32","source":{"kind":"arxiv","id":"1710.09243","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.09243","created_at":"2026-06-04T19:11:07Z"},{"alias_kind":"arxiv_version","alias_value":"1710.09243v2","created_at":"2026-06-04T19:11:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.09243","created_at":"2026-06-04T19:11:07Z"},{"alias_kind":"pith_short_12","alias_value":"62RLVOTF4XY5","created_at":"2026-06-04T19:11:07Z"},{"alias_kind":"pith_short_16","alias_value":"62RLVOTF4XY5S6LO","created_at":"2026-06-04T19:11:07Z"},{"alias_kind":"pith_short_8","alias_value":"62RLVOTF","created_at":"2026-06-04T19:11:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:62RLVOTF4XY5S6LOUFBTVJOXHP","target":"record","payload":{"canonical_record":{"source":{"id":"1710.09243","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-25T14:09:47Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"59fc72dca2180ede400a6acabeeba6ef6ada26c981e8ed128348b774c3af5a04","abstract_canon_sha256":"b5c9b97653863947907b9d46ab39871ef8930f5809a11c9b0c601aeff59af6fa"},"schema_version":"1.0"},"canonical_sha256":"f6a2baba65e5f1d9796ea1433aa5d73bd518acd1ceeabc59514c7f7c7d18ee32","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T19:11:07.451388Z","signature_b64":"DrDcW4FY+BpxPaq1DrNpTUxlCtDd41MLDJ+byZCn4Ov8jPKYBwbEDGTN4A+T4qlwQJbkzLGgk0iwEY96uZgaDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6a2baba65e5f1d9796ea1433aa5d73bd518acd1ceeabc59514c7f7c7d18ee32","last_reissued_at":"2026-06-04T19:11:07.450911Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T19:11:07.450911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.09243","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":"2026-06-04T19:11:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sVCeDe1aF+Yw9DMxggtFW7rNKg1Lkg8HKlLrM+gtpLhbNHzNh3FIyQ5Ahzh0xl/y+54DEuuOL6GIvAG98M9SBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T18:20:33.323488Z"},"content_sha256":"a864cd9c73953605e7a539737b815a44de25cc08285458af17bea97d3c019b97","schema_version":"1.0","event_id":"sha256:a864cd9c73953605e7a539737b815a44de25cc08285458af17bea97d3c019b97"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:62RLVOTF4XY5S6LOUFBTVJOXHP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A POD-selective inverse distance weighting method for fast parametrized shape morphing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Alessandro D'Amario, Francesco Ballarin, Gianluigi Rozza, Simona Perotto","submitted_at":"2017-10-25T14:09:47Z","abstract_excerpt":"Efficient shape morphing techniques play a crucial role in the approximation of partial differential equations defined in parametrized domains, such as for fluid-structure interaction or shape optimization problems. In this paper, we focus on Inverse Distance Weighting (IDW) interpolation techniques, where a reference domain is morphed into a deformed one via the displacement of a set of control points. We aim at reducing the computational burden characterizing a standard IDW approach without significantly compromising the accuracy. To this aim, first we propose an improvement of IDW based on "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09243","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/1710.09243/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":"2026-06-04T19:11:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NdbI9xr04EJT5UdlT3hWug7jI/sxDYdlwC6S1/qQNH+gx2nN9emTPd5O2UNYTCBhgNjU9TZqupz/Ew1WAfdTAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T18:20:33.323870Z"},"content_sha256":"8b0ed09e111bd976969219ba133cbe23078c0780b9351194eda4c31e7f365a17","schema_version":"1.0","event_id":"sha256:8b0ed09e111bd976969219ba133cbe23078c0780b9351194eda4c31e7f365a17"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/62RLVOTF4XY5S6LOUFBTVJOXHP/bundle.json","state_url":"https://pith.science/pith/62RLVOTF4XY5S6LOUFBTVJOXHP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/62RLVOTF4XY5S6LOUFBTVJOXHP/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":"2026-06-20T18:20:33Z","links":{"resolver":"https://pith.science/pith/62RLVOTF4XY5S6LOUFBTVJOXHP","bundle":"https://pith.science/pith/62RLVOTF4XY5S6LOUFBTVJOXHP/bundle.json","state":"https://pith.science/pith/62RLVOTF4XY5S6LOUFBTVJOXHP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/62RLVOTF4XY5S6LOUFBTVJOXHP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:62RLVOTF4XY5S6LOUFBTVJOXHP","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":"b5c9b97653863947907b9d46ab39871ef8930f5809a11c9b0c601aeff59af6fa","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-25T14:09:47Z","title_canon_sha256":"59fc72dca2180ede400a6acabeeba6ef6ada26c981e8ed128348b774c3af5a04"},"schema_version":"1.0","source":{"id":"1710.09243","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.09243","created_at":"2026-06-04T19:11:07Z"},{"alias_kind":"arxiv_version","alias_value":"1710.09243v2","created_at":"2026-06-04T19:11:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.09243","created_at":"2026-06-04T19:11:07Z"},{"alias_kind":"pith_short_12","alias_value":"62RLVOTF4XY5","created_at":"2026-06-04T19:11:07Z"},{"alias_kind":"pith_short_16","alias_value":"62RLVOTF4XY5S6LO","created_at":"2026-06-04T19:11:07Z"},{"alias_kind":"pith_short_8","alias_value":"62RLVOTF","created_at":"2026-06-04T19:11:07Z"}],"graph_snapshots":[{"event_id":"sha256:8b0ed09e111bd976969219ba133cbe23078c0780b9351194eda4c31e7f365a17","target":"graph","created_at":"2026-06-04T19:11:07Z","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/1710.09243/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Efficient shape morphing techniques play a crucial role in the approximation of partial differential equations defined in parametrized domains, such as for fluid-structure interaction or shape optimization problems. In this paper, we focus on Inverse Distance Weighting (IDW) interpolation techniques, where a reference domain is morphed into a deformed one via the displacement of a set of control points. We aim at reducing the computational burden characterizing a standard IDW approach without significantly compromising the accuracy. To this aim, first we propose an improvement of IDW based on ","authors_text":"Alessandro D'Amario, Francesco Ballarin, Gianluigi Rozza, Simona Perotto","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-25T14:09:47Z","title":"A POD-selective inverse distance weighting method for fast parametrized shape morphing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09243","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:a864cd9c73953605e7a539737b815a44de25cc08285458af17bea97d3c019b97","target":"record","created_at":"2026-06-04T19:11:07Z","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":"b5c9b97653863947907b9d46ab39871ef8930f5809a11c9b0c601aeff59af6fa","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-25T14:09:47Z","title_canon_sha256":"59fc72dca2180ede400a6acabeeba6ef6ada26c981e8ed128348b774c3af5a04"},"schema_version":"1.0","source":{"id":"1710.09243","kind":"arxiv","version":2}},"canonical_sha256":"f6a2baba65e5f1d9796ea1433aa5d73bd518acd1ceeabc59514c7f7c7d18ee32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6a2baba65e5f1d9796ea1433aa5d73bd518acd1ceeabc59514c7f7c7d18ee32","first_computed_at":"2026-06-04T19:11:07.450911Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T19:11:07.450911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DrDcW4FY+BpxPaq1DrNpTUxlCtDd41MLDJ+byZCn4Ov8jPKYBwbEDGTN4A+T4qlwQJbkzLGgk0iwEY96uZgaDw==","signature_status":"signed_v1","signed_at":"2026-06-04T19:11:07.451388Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.09243","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a864cd9c73953605e7a539737b815a44de25cc08285458af17bea97d3c019b97","sha256:8b0ed09e111bd976969219ba133cbe23078c0780b9351194eda4c31e7f365a17"],"state_sha256":"760277fc0a1d7bf42e04cca04c51da535f6764224004f9b5649a35703e7ad7af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"35PhjdrfSDaR5TVkKGeRs2Jl3JrNfpbozS6r9/P7BdnppS/wD6tlD5oRh4S6YtB9MaK6GyrPUI5QtfFvuaQdDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T18:20:33.325934Z","bundle_sha256":"05389edf26d7bdf9f7c93527c3ca6d6845a18e0c94f26582befacf35cecf3f5c"}}