{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:OMLOQ4AKER2YS767F4KF2FH6ZC","short_pith_number":"pith:OMLOQ4AK","canonical_record":{"source":{"id":"1712.02545","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-07T09:19:10Z","cross_cats_sorted":[],"title_canon_sha256":"c0ce59cf562db24aa5f74a51d22bd8fd18d93880d7918290c690fa4dfef26f74","abstract_canon_sha256":"021e7d30e8a6ae6a016c985a54d0e2f83e8e860479385b25775d7555fac09355"},"schema_version":"1.0"},"canonical_sha256":"7316e8700a2475897fdf2f145d14fec89de2b38841faa944e64bd5e915e9c9c9","source":{"kind":"arxiv","id":"1712.02545","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02545","created_at":"2026-05-18T00:28:33Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02545v1","created_at":"2026-05-18T00:28:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02545","created_at":"2026-05-18T00:28:33Z"},{"alias_kind":"pith_short_12","alias_value":"OMLOQ4AKER2Y","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OMLOQ4AKER2YS767","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OMLOQ4AK","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:OMLOQ4AKER2YS767F4KF2FH6ZC","target":"record","payload":{"canonical_record":{"source":{"id":"1712.02545","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-07T09:19:10Z","cross_cats_sorted":[],"title_canon_sha256":"c0ce59cf562db24aa5f74a51d22bd8fd18d93880d7918290c690fa4dfef26f74","abstract_canon_sha256":"021e7d30e8a6ae6a016c985a54d0e2f83e8e860479385b25775d7555fac09355"},"schema_version":"1.0"},"canonical_sha256":"7316e8700a2475897fdf2f145d14fec89de2b38841faa944e64bd5e915e9c9c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:33.667892Z","signature_b64":"TP+PhIvtf6ADtBGWNk+xXBE1fkF4jz8PH977LWbORRMtjga2Pd2m1U+LGkGghnMOFOEHxC6qwc85HmJ0Ab/yBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7316e8700a2475897fdf2f145d14fec89de2b38841faa944e64bd5e915e9c9c9","last_reissued_at":"2026-05-18T00:28:33.667202Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:33.667202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.02545","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":"2026-05-18T00:28:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YCs4Z/h3UKkTuuMwlpzHim4qoEwEtKSnyHztC0NZiWJSdBaOvsqUFDh6bt1s9P14KcsnMZlpTL0iSLsMb57fDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T14:24:44.039228Z"},"content_sha256":"a78a4c7e6b89c5590cab7eaf4ab0f6c38a1937af12a2c1a33ac2a8d45eaa9de0","schema_version":"1.0","event_id":"sha256:a78a4c7e6b89c5590cab7eaf4ab0f6c38a1937af12a2c1a33ac2a8d45eaa9de0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:OMLOQ4AKER2YS767F4KF2FH6ZC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A distributed Lagrange formulation of the Finite Element Immersed Boundary Method for fluids interacting with compressible solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Daniele Boffi, Luca Heltai, Lucia Gastaldi","submitted_at":"2017-12-07T09:19:10Z","abstract_excerpt":"We present a distributed Lagrange multiplier formulation of the Finite Element Immersed Boundary Method to couple incompressible fluids with compressible solids. This is a generalization of the formulation presented in Heltai and Costanzo (2012), that offers a cleaner variational formulation, thanks to the introduction of distributed Lagrange multipliers, that acts as intermediary between the fluid and solid equations, keeping the two formulation mostly separated. Stability estimates and a brief numerical validation are presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02545","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":"2026-05-18T00:28:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hVGFFsekA4ZTqeSY8uXrP7L8jwM/Jdgq6rC8Fr1KI0GCPZYZms66c+vbRJotTrihqVbCvsze1I/RHIR//xTGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T14:24:44.039813Z"},"content_sha256":"d23236a6e2e2e1a72032bccb729fe225604f0210802bc3b4f1c249b41a847e86","schema_version":"1.0","event_id":"sha256:d23236a6e2e2e1a72032bccb729fe225604f0210802bc3b4f1c249b41a847e86"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OMLOQ4AKER2YS767F4KF2FH6ZC/bundle.json","state_url":"https://pith.science/pith/OMLOQ4AKER2YS767F4KF2FH6ZC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OMLOQ4AKER2YS767F4KF2FH6ZC/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":"2026-06-04T14:24:44Z","links":{"resolver":"https://pith.science/pith/OMLOQ4AKER2YS767F4KF2FH6ZC","bundle":"https://pith.science/pith/OMLOQ4AKER2YS767F4KF2FH6ZC/bundle.json","state":"https://pith.science/pith/OMLOQ4AKER2YS767F4KF2FH6ZC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OMLOQ4AKER2YS767F4KF2FH6ZC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OMLOQ4AKER2YS767F4KF2FH6ZC","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":"021e7d30e8a6ae6a016c985a54d0e2f83e8e860479385b25775d7555fac09355","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-07T09:19:10Z","title_canon_sha256":"c0ce59cf562db24aa5f74a51d22bd8fd18d93880d7918290c690fa4dfef26f74"},"schema_version":"1.0","source":{"id":"1712.02545","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02545","created_at":"2026-05-18T00:28:33Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02545v1","created_at":"2026-05-18T00:28:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02545","created_at":"2026-05-18T00:28:33Z"},{"alias_kind":"pith_short_12","alias_value":"OMLOQ4AKER2Y","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OMLOQ4AKER2YS767","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OMLOQ4AK","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:d23236a6e2e2e1a72032bccb729fe225604f0210802bc3b4f1c249b41a847e86","target":"graph","created_at":"2026-05-18T00:28:33Z","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":"We present a distributed Lagrange multiplier formulation of the Finite Element Immersed Boundary Method to couple incompressible fluids with compressible solids. This is a generalization of the formulation presented in Heltai and Costanzo (2012), that offers a cleaner variational formulation, thanks to the introduction of distributed Lagrange multipliers, that acts as intermediary between the fluid and solid equations, keeping the two formulation mostly separated. Stability estimates and a brief numerical validation are presented.","authors_text":"Daniele Boffi, Luca Heltai, Lucia Gastaldi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-07T09:19:10Z","title":"A distributed Lagrange formulation of the Finite Element Immersed Boundary Method for fluids interacting with compressible solids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02545","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:a78a4c7e6b89c5590cab7eaf4ab0f6c38a1937af12a2c1a33ac2a8d45eaa9de0","target":"record","created_at":"2026-05-18T00:28:33Z","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":"021e7d30e8a6ae6a016c985a54d0e2f83e8e860479385b25775d7555fac09355","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-07T09:19:10Z","title_canon_sha256":"c0ce59cf562db24aa5f74a51d22bd8fd18d93880d7918290c690fa4dfef26f74"},"schema_version":"1.0","source":{"id":"1712.02545","kind":"arxiv","version":1}},"canonical_sha256":"7316e8700a2475897fdf2f145d14fec89de2b38841faa944e64bd5e915e9c9c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7316e8700a2475897fdf2f145d14fec89de2b38841faa944e64bd5e915e9c9c9","first_computed_at":"2026-05-18T00:28:33.667202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:33.667202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TP+PhIvtf6ADtBGWNk+xXBE1fkF4jz8PH977LWbORRMtjga2Pd2m1U+LGkGghnMOFOEHxC6qwc85HmJ0Ab/yBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:33.667892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.02545","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a78a4c7e6b89c5590cab7eaf4ab0f6c38a1937af12a2c1a33ac2a8d45eaa9de0","sha256:d23236a6e2e2e1a72032bccb729fe225604f0210802bc3b4f1c249b41a847e86"],"state_sha256":"c6954519f407fd4f2e13f9dbfbd0e3fb81a1d922caf9fac3248c8c561ac68aa3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SAeeqwYlAA3BsIWAQD0EQz/0G3XkUSUVk3Omn/GRN0+E4HYqgLs0anRCVorwNizeCw+YpVm4+NfGbURAaQkZCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T14:24:44.043608Z","bundle_sha256":"60764aafaa71a73e9e65e651141b149242bd7b42836a2bf389ddb4fe5306a5c5"}}