{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:U5LD35VQUCZ7X7XOZCDX5XHZLF","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":"53a9d56e8ced5525b631bf33734f688d029b8f67037eb71ade1089d3e2c764f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-19T06:53:06Z","title_canon_sha256":"84fd92e664d697026ed71bc6f43ba1851601805387a1433765283199d7da4ef9"},"schema_version":"1.0","source":{"id":"1408.4227","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.4227","created_at":"2026-05-18T01:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1408.4227v2","created_at":"2026-05-18T01:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.4227","created_at":"2026-05-18T01:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"U5LD35VQUCZ7","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"U5LD35VQUCZ7X7XO","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"U5LD35VQ","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:8e74ab1455bc336789593d756cfb968ee6e1d0d9f27aac6155caa1c5272d064e","target":"graph","created_at":"2026-05-18T01:41:58Z","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 develop a new finite element method for solving planar elasticity problems involving of heterogeneous materials with a mesh not necessarily aligning with the interface of the materials. This method is based on the `broken' Crouzeix-Raviart $P_1$-nonconforming finite element method for elliptic interface problems \\cite{Kwak-We-Ch}.\n  To ensure the coercivity of the bilinear form arising from using the nonconforming finite elements, we add stabilizing terms as in the discontinuous Galerkin (DG) method \\cite{Arnold-IP},\\cite{Ar-B-Co-Ma},\\cite{Wheeler}. The novelty of our method is that we use ","authors_text":"Dae H. Kyeong, Do Y. Kwak, Sangwon Jin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-19T06:53:06Z","title":"A stabilized $P_1$ immersed finite element method for the interface elasticity problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4227","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":"sha256:977b467b7b49fdd4cadb2b180da7732ec89b576b0f87efa1b514987ebc143ada","target":"record","created_at":"2026-05-18T01:41:58Z","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":"53a9d56e8ced5525b631bf33734f688d029b8f67037eb71ade1089d3e2c764f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-19T06:53:06Z","title_canon_sha256":"84fd92e664d697026ed71bc6f43ba1851601805387a1433765283199d7da4ef9"},"schema_version":"1.0","source":{"id":"1408.4227","kind":"arxiv","version":2}},"canonical_sha256":"a7563df6b0a0b3fbfeeec8877edcf959751f423b7013034f9c0449109e277669","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7563df6b0a0b3fbfeeec8877edcf959751f423b7013034f9c0449109e277669","first_computed_at":"2026-05-18T01:41:58.750901Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:58.750901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EhJplAlApq027LnwOSRRm4Z49RLbuqbVm0DES2EJRMwHrB4RwtejPmEgpVAmSPJsasNUZ4+h3TApXURUDBvmBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:58.751536Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.4227","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:977b467b7b49fdd4cadb2b180da7732ec89b576b0f87efa1b514987ebc143ada","sha256:8e74ab1455bc336789593d756cfb968ee6e1d0d9f27aac6155caa1c5272d064e"],"state_sha256":"d3884ccdcb05abd6e57688c81a2fc82938f395447867067c60dbdf7153bdc692"}