{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SXSO5VHC7WAFUX4CCNAERYSFUM","short_pith_number":"pith:SXSO5VHC","canonical_record":{"source":{"id":"1711.10884","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-29T14:46:37Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"fe74c436a3daa38948d5660abfabab9b0ea0af935c4b0a0c0af1f8832160b0c9","abstract_canon_sha256":"04c0402fc55f7e33c70a03189c4adba9fe798b63db772193b1d21a8bf5c4a4e2"},"schema_version":"1.0"},"canonical_sha256":"95e4eed4e2fd805a5f82134048e245a300286fab86224e1cff69f81e6d5d1a25","source":{"kind":"arxiv","id":"1711.10884","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.10884","created_at":"2026-06-04T19:11:17Z"},{"alias_kind":"arxiv_version","alias_value":"1711.10884v2","created_at":"2026-06-04T19:11:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10884","created_at":"2026-06-04T19:11:17Z"},{"alias_kind":"pith_short_12","alias_value":"SXSO5VHC7WAF","created_at":"2026-06-04T19:11:17Z"},{"alias_kind":"pith_short_16","alias_value":"SXSO5VHC7WAFUX4C","created_at":"2026-06-04T19:11:17Z"},{"alias_kind":"pith_short_8","alias_value":"SXSO5VHC","created_at":"2026-06-04T19:11:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SXSO5VHC7WAFUX4CCNAERYSFUM","target":"record","payload":{"canonical_record":{"source":{"id":"1711.10884","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-29T14:46:37Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"fe74c436a3daa38948d5660abfabab9b0ea0af935c4b0a0c0af1f8832160b0c9","abstract_canon_sha256":"04c0402fc55f7e33c70a03189c4adba9fe798b63db772193b1d21a8bf5c4a4e2"},"schema_version":"1.0"},"canonical_sha256":"95e4eed4e2fd805a5f82134048e245a300286fab86224e1cff69f81e6d5d1a25","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T19:11:17.423476Z","signature_b64":"0Y8NZtZvILfvS7KGgR4a7JuA3TAt/VpecwSLeu/I53tqK+GelXGLGytSczlDz5WZoYBNpUdIhAmtO2e2pWarDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95e4eed4e2fd805a5f82134048e245a300286fab86224e1cff69f81e6d5d1a25","last_reissued_at":"2026-06-04T19:11:17.423037Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T19:11:17.423037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.10884","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":"2026-06-04T19:11:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yvyLpCA4xjODjnBwU84blUSrjhbmJEHmOOeSjXZKuzn1yEeO60NKGylvHShz41qpXNSNd4A9gn15eRRf63U7Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T19:16:07.383656Z"},"content_sha256":"e7779c7db6f1726ef1638b5ff633d1d7d8e389c79f232bf042effb54e8fc3ac3","schema_version":"1.0","event_id":"sha256:e7779c7db6f1726ef1638b5ff633d1d7d8e389c79f232bf042effb54e8fc3ac3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SXSO5VHC7WAFUX4CCNAERYSFUM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Combined parameter and model reduction of cardiovascular problems by means of active subspaces and POD-Galerkin methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Francesco Ballarin, Gianluigi Rozza, Marco Tezzele","submitted_at":"2017-11-29T14:46:37Z","abstract_excerpt":"In this chapter we introduce a combined parameter and model reduction methodology and present its application to the efficient numerical estimation of a pressure drop in a set of deformed carotids. The aim is to simulate a wide range of possible occlusions after the bifurcation of the carotid. A parametric description of the admissible deformations, based on radial basis functions interpolation, is introduced. Since the parameter space may be very large, the first step in the combined reduction technique is to look for active subspaces in order to reduce the parameter space dimension. Then, we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10884","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/1711.10884/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":"2026-06-04T19:11:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3HQ7IBbi0PJDEj6TBp/Iw9J6YDgPOPOixpuHf0A8YoLPmidwEMCDslxUc0okf87dID1Ek9ooSsCf9Z7qaMbSCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T19:16:07.384046Z"},"content_sha256":"133d43081aa461292bd9a4fe54217724af20184bfb0b704332f6a0e70c528ccd","schema_version":"1.0","event_id":"sha256:133d43081aa461292bd9a4fe54217724af20184bfb0b704332f6a0e70c528ccd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SXSO5VHC7WAFUX4CCNAERYSFUM/bundle.json","state_url":"https://pith.science/pith/SXSO5VHC7WAFUX4CCNAERYSFUM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SXSO5VHC7WAFUX4CCNAERYSFUM/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":"2026-06-20T19:16:07Z","links":{"resolver":"https://pith.science/pith/SXSO5VHC7WAFUX4CCNAERYSFUM","bundle":"https://pith.science/pith/SXSO5VHC7WAFUX4CCNAERYSFUM/bundle.json","state":"https://pith.science/pith/SXSO5VHC7WAFUX4CCNAERYSFUM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SXSO5VHC7WAFUX4CCNAERYSFUM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SXSO5VHC7WAFUX4CCNAERYSFUM","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":"04c0402fc55f7e33c70a03189c4adba9fe798b63db772193b1d21a8bf5c4a4e2","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-29T14:46:37Z","title_canon_sha256":"fe74c436a3daa38948d5660abfabab9b0ea0af935c4b0a0c0af1f8832160b0c9"},"schema_version":"1.0","source":{"id":"1711.10884","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.10884","created_at":"2026-06-04T19:11:17Z"},{"alias_kind":"arxiv_version","alias_value":"1711.10884v2","created_at":"2026-06-04T19:11:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10884","created_at":"2026-06-04T19:11:17Z"},{"alias_kind":"pith_short_12","alias_value":"SXSO5VHC7WAF","created_at":"2026-06-04T19:11:17Z"},{"alias_kind":"pith_short_16","alias_value":"SXSO5VHC7WAFUX4C","created_at":"2026-06-04T19:11:17Z"},{"alias_kind":"pith_short_8","alias_value":"SXSO5VHC","created_at":"2026-06-04T19:11:17Z"}],"graph_snapshots":[{"event_id":"sha256:133d43081aa461292bd9a4fe54217724af20184bfb0b704332f6a0e70c528ccd","target":"graph","created_at":"2026-06-04T19:11:17Z","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/1711.10884/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this chapter we introduce a combined parameter and model reduction methodology and present its application to the efficient numerical estimation of a pressure drop in a set of deformed carotids. The aim is to simulate a wide range of possible occlusions after the bifurcation of the carotid. A parametric description of the admissible deformations, based on radial basis functions interpolation, is introduced. Since the parameter space may be very large, the first step in the combined reduction technique is to look for active subspaces in order to reduce the parameter space dimension. Then, we","authors_text":"Francesco Ballarin, Gianluigi Rozza, Marco Tezzele","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-29T14:46:37Z","title":"Combined parameter and model reduction of cardiovascular problems by means of active subspaces and POD-Galerkin methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10884","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:e7779c7db6f1726ef1638b5ff633d1d7d8e389c79f232bf042effb54e8fc3ac3","target":"record","created_at":"2026-06-04T19:11:17Z","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":"04c0402fc55f7e33c70a03189c4adba9fe798b63db772193b1d21a8bf5c4a4e2","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-29T14:46:37Z","title_canon_sha256":"fe74c436a3daa38948d5660abfabab9b0ea0af935c4b0a0c0af1f8832160b0c9"},"schema_version":"1.0","source":{"id":"1711.10884","kind":"arxiv","version":2}},"canonical_sha256":"95e4eed4e2fd805a5f82134048e245a300286fab86224e1cff69f81e6d5d1a25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95e4eed4e2fd805a5f82134048e245a300286fab86224e1cff69f81e6d5d1a25","first_computed_at":"2026-06-04T19:11:17.423037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T19:11:17.423037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0Y8NZtZvILfvS7KGgR4a7JuA3TAt/VpecwSLeu/I53tqK+GelXGLGytSczlDz5WZoYBNpUdIhAmtO2e2pWarDw==","signature_status":"signed_v1","signed_at":"2026-06-04T19:11:17.423476Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.10884","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7779c7db6f1726ef1638b5ff633d1d7d8e389c79f232bf042effb54e8fc3ac3","sha256:133d43081aa461292bd9a4fe54217724af20184bfb0b704332f6a0e70c528ccd"],"state_sha256":"0283244821d9d4e048db5ec6dcdf24fc8871d2a09b1720a2e99e3148cf336247"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v/5QhuPpvGRRwVFf8+Rks1TCHPR6q/aaoNjVbswYfP39HR7pLhsgvFEOMZhsnANDg809hErybktCMGK93oKbCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T19:16:07.386223Z","bundle_sha256":"ba21792ad0c7835f4ee76ee0c2d4069de9371a5162799263e74062df1efacb16"}}