{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:KGZJAILSPZE3UEQLCGNXT5MSFO","short_pith_number":"pith:KGZJAILS","schema_version":"1.0","canonical_sha256":"51b29021727e49ba120b119b79f5922bb0de8b53a12933228bf65e9951fc2157","source":{"kind":"arxiv","id":"1112.1592","version":1},"attestation_state":"computed","paper":{"title":"A local projection stabilized method for fictitious domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Franz Chouly (LPM), Gabriel Ra\\'ul Barrenechea","submitted_at":"2011-12-07T15:09:09Z","abstract_excerpt":"In this work a local projection stabilization method is proposed to solve a fictitious domain problem. The method adds a suitable fluctuation term to the formulation thus rendering the natural space for the Lagrange multiplier stable. Stability and convergence are proved and these results are illustrated by a numerical experiment."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1112.1592","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-12-07T15:09:09Z","cross_cats_sorted":[],"title_canon_sha256":"a9e83217ca931caa65cf653796fbea7d899bf5f9a40c49842f8c255e66272a8f","abstract_canon_sha256":"3e217dd49b4078befed300e6157fddc46678df780f8cdefee25049b4cf787aa9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:54.309446Z","signature_b64":"FRaHl6HqEbcB5Zp0ZdAIUbnCQwu7pNankGdKnS3qUWmjCDoTYAZbIoTP7jTGPamWWuGFPxeGr1P7r3EteVBuDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51b29021727e49ba120b119b79f5922bb0de8b53a12933228bf65e9951fc2157","last_reissued_at":"2026-05-18T04:06:54.308912Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:54.308912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A local projection stabilized method for fictitious domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Franz Chouly (LPM), Gabriel Ra\\'ul Barrenechea","submitted_at":"2011-12-07T15:09:09Z","abstract_excerpt":"In this work a local projection stabilization method is proposed to solve a fictitious domain problem. The method adds a suitable fluctuation term to the formulation thus rendering the natural space for the Lagrange multiplier stable. Stability and convergence are proved and these results are illustrated by a numerical experiment."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1592","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1112.1592","created_at":"2026-05-18T04:06:54.308988+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.1592v1","created_at":"2026-05-18T04:06:54.308988+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1592","created_at":"2026-05-18T04:06:54.308988+00:00"},{"alias_kind":"pith_short_12","alias_value":"KGZJAILSPZE3","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"KGZJAILSPZE3UEQL","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"KGZJAILS","created_at":"2026-05-18T12:26:32.869790+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KGZJAILSPZE3UEQLCGNXT5MSFO","json":"https://pith.science/pith/KGZJAILSPZE3UEQLCGNXT5MSFO.json","graph_json":"https://pith.science/api/pith-number/KGZJAILSPZE3UEQLCGNXT5MSFO/graph.json","events_json":"https://pith.science/api/pith-number/KGZJAILSPZE3UEQLCGNXT5MSFO/events.json","paper":"https://pith.science/paper/KGZJAILS"},"agent_actions":{"view_html":"https://pith.science/pith/KGZJAILSPZE3UEQLCGNXT5MSFO","download_json":"https://pith.science/pith/KGZJAILSPZE3UEQLCGNXT5MSFO.json","view_paper":"https://pith.science/paper/KGZJAILS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.1592&json=true","fetch_graph":"https://pith.science/api/pith-number/KGZJAILSPZE3UEQLCGNXT5MSFO/graph.json","fetch_events":"https://pith.science/api/pith-number/KGZJAILSPZE3UEQLCGNXT5MSFO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KGZJAILSPZE3UEQLCGNXT5MSFO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KGZJAILSPZE3UEQLCGNXT5MSFO/action/storage_attestation","attest_author":"https://pith.science/pith/KGZJAILSPZE3UEQLCGNXT5MSFO/action/author_attestation","sign_citation":"https://pith.science/pith/KGZJAILSPZE3UEQLCGNXT5MSFO/action/citation_signature","submit_replication":"https://pith.science/pith/KGZJAILSPZE3UEQLCGNXT5MSFO/action/replication_record"}},"created_at":"2026-05-18T04:06:54.308988+00:00","updated_at":"2026-05-18T04:06:54.308988+00:00"}