{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IZXEW3IN6AVY6UILHMRA466YHU","short_pith_number":"pith:IZXEW3IN","canonical_record":{"source":{"id":"1303.6850","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-03-27T15:01:02Z","cross_cats_sorted":[],"title_canon_sha256":"9dbe62c48e31db455916573ac77da00b896477eddccfa503658ddfc95c287822","abstract_canon_sha256":"e44d968af4a8e8ad2f7d8fa888e68ece9adb7058391da35a4c13cf00a64446af"},"schema_version":"1.0"},"canonical_sha256":"466e4b6d0df02b8f510b3b220e7bd83d21b595322c26fe34c5880c81a36d3b64","source":{"kind":"arxiv","id":"1303.6850","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6850","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6850v2","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6850","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"pith_short_12","alias_value":"IZXEW3IN6AVY","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"IZXEW3IN6AVY6UIL","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"IZXEW3IN","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IZXEW3IN6AVY6UILHMRA466YHU","target":"record","payload":{"canonical_record":{"source":{"id":"1303.6850","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-03-27T15:01:02Z","cross_cats_sorted":[],"title_canon_sha256":"9dbe62c48e31db455916573ac77da00b896477eddccfa503658ddfc95c287822","abstract_canon_sha256":"e44d968af4a8e8ad2f7d8fa888e68ece9adb7058391da35a4c13cf00a64446af"},"schema_version":"1.0"},"canonical_sha256":"466e4b6d0df02b8f510b3b220e7bd83d21b595322c26fe34c5880c81a36d3b64","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:51.941053Z","signature_b64":"HNr5655c0+6GV7j93qj7Nt9DZGa8Uzg9y7Qx/gjZsl4jbco3MQsWufQt5zbxtc7NWDgNpar8cAZB0Q10iERiCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"466e4b6d0df02b8f510b3b220e7bd83d21b595322c26fe34c5880c81a36d3b64","last_reissued_at":"2026-05-18T01:50:51.940370Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:51.940370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.6850","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":"2026-05-18T01:50:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mw2jOdjJ3K8iXa12MW5tdDdB7aP2ygePUl/QYk3dGbdtTddYqFYTgUX3QUBZfFU98apiMg4UGXBnTuT2lGdcDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:03:12.666944Z"},"content_sha256":"57154b8e228a22b8eb40ef7faf99b7433abecae88ffed8263e69dde1696fd7d2","schema_version":"1.0","event_id":"sha256:57154b8e228a22b8eb40ef7faf99b7433abecae88ffed8263e69dde1696fd7d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IZXEW3IN6AVY6UILHMRA466YHU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A fictitious domain approach for the Stokes problem based on the extended finite element method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alexei Lozinski, Michel Fourni\\'e, S\\'ebastien Court","submitted_at":"2013-03-27T15:01:02Z","abstract_excerpt":"In the present work, we propose to extend to the Stokes problem a fictitious domain approach inspired by eXtended Finite Element Method and studied for Poisson problem in [Renard]. The method allows computations in domains whose boundaries do not match. A mixed finite element method is used for fluid flow. The interface between the fluid and the structure is localized by a level-set function. Dirichlet boundary conditions are taken into account using Lagrange multiplier. A stabilization term is introduced to improve the approximation of the normal trace of the Cauchy stress tensor at the inter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6850","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":""},"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":"2026-05-18T01:50:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wlu2fJFJYzuT2zslh+ZmKtO0v9iKiUVpQa7cuY3D5kHVGYTd3M3dVix5IoluvVDPimOBP809zGAA5Sr6D3+jDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:03:12.667299Z"},"content_sha256":"452a70f9135fc60b7e1d3a64f8993daacfce73897d2752d758a32d245b2e8cf8","schema_version":"1.0","event_id":"sha256:452a70f9135fc60b7e1d3a64f8993daacfce73897d2752d758a32d245b2e8cf8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IZXEW3IN6AVY6UILHMRA466YHU/bundle.json","state_url":"https://pith.science/pith/IZXEW3IN6AVY6UILHMRA466YHU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IZXEW3IN6AVY6UILHMRA466YHU/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":"2026-06-03T21:03:12Z","links":{"resolver":"https://pith.science/pith/IZXEW3IN6AVY6UILHMRA466YHU","bundle":"https://pith.science/pith/IZXEW3IN6AVY6UILHMRA466YHU/bundle.json","state":"https://pith.science/pith/IZXEW3IN6AVY6UILHMRA466YHU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IZXEW3IN6AVY6UILHMRA466YHU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IZXEW3IN6AVY6UILHMRA466YHU","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":"e44d968af4a8e8ad2f7d8fa888e68ece9adb7058391da35a4c13cf00a64446af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-03-27T15:01:02Z","title_canon_sha256":"9dbe62c48e31db455916573ac77da00b896477eddccfa503658ddfc95c287822"},"schema_version":"1.0","source":{"id":"1303.6850","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6850","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6850v2","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6850","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"pith_short_12","alias_value":"IZXEW3IN6AVY","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"IZXEW3IN6AVY6UIL","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"IZXEW3IN","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:452a70f9135fc60b7e1d3a64f8993daacfce73897d2752d758a32d245b2e8cf8","target":"graph","created_at":"2026-05-18T01:50:51Z","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":"In the present work, we propose to extend to the Stokes problem a fictitious domain approach inspired by eXtended Finite Element Method and studied for Poisson problem in [Renard]. The method allows computations in domains whose boundaries do not match. A mixed finite element method is used for fluid flow. The interface between the fluid and the structure is localized by a level-set function. Dirichlet boundary conditions are taken into account using Lagrange multiplier. A stabilization term is introduced to improve the approximation of the normal trace of the Cauchy stress tensor at the inter","authors_text":"Alexei Lozinski, Michel Fourni\\'e, S\\'ebastien Court","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-03-27T15:01:02Z","title":"A fictitious domain approach for the Stokes problem based on the extended finite element method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6850","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":"sha256:57154b8e228a22b8eb40ef7faf99b7433abecae88ffed8263e69dde1696fd7d2","target":"record","created_at":"2026-05-18T01:50:51Z","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":"e44d968af4a8e8ad2f7d8fa888e68ece9adb7058391da35a4c13cf00a64446af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-03-27T15:01:02Z","title_canon_sha256":"9dbe62c48e31db455916573ac77da00b896477eddccfa503658ddfc95c287822"},"schema_version":"1.0","source":{"id":"1303.6850","kind":"arxiv","version":2}},"canonical_sha256":"466e4b6d0df02b8f510b3b220e7bd83d21b595322c26fe34c5880c81a36d3b64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"466e4b6d0df02b8f510b3b220e7bd83d21b595322c26fe34c5880c81a36d3b64","first_computed_at":"2026-05-18T01:50:51.940370Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:51.940370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HNr5655c0+6GV7j93qj7Nt9DZGa8Uzg9y7Qx/gjZsl4jbco3MQsWufQt5zbxtc7NWDgNpar8cAZB0Q10iERiCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:51.941053Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.6850","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57154b8e228a22b8eb40ef7faf99b7433abecae88ffed8263e69dde1696fd7d2","sha256:452a70f9135fc60b7e1d3a64f8993daacfce73897d2752d758a32d245b2e8cf8"],"state_sha256":"0a7a5c54e32a3f74eccefa3e92fe84cbc1188e5fe99b3c0ab6d232212993dba2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c/AM+OnwZeKejA6xJvkKZ4zdcbVT6V/pkpg1qqQ0KMb8NTbcRQt9w9pCNviKsmrFCSvFQlVNyvnhm+zTT0WbAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T21:03:12.669282Z","bundle_sha256":"3668cd01eec5204e53b82f7fbb921524008b1374103ca6158f472b5148bbeb99"}}