{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BZAIJ5WNFO3WJGYUMLEFXPPXD5","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":"f0ec629d4e3d4ab4c4ad3293b01261d94ff27b530156fb1d7be8edec407dafec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-10T18:47:38Z","title_canon_sha256":"c79433a9c4523b6e8e16275cd3c9dfbbf327c932385dae1124681ca3485940ba"},"schema_version":"1.0","source":{"id":"1410.2866","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2866","created_at":"2026-05-18T02:16:39Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2866v2","created_at":"2026-05-18T02:16:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2866","created_at":"2026-05-18T02:16:39Z"},{"alias_kind":"pith_short_12","alias_value":"BZAIJ5WNFO3W","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BZAIJ5WNFO3WJGYU","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BZAIJ5WN","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:97a6b2b5377ee0788d15d2a4462186a985596af80fcfc6171b9830222990f6dc","target":"graph","created_at":"2026-05-18T02:16:39Z","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":"A common observation from an atomistic to continuum coupling method is that the error is often generated and concentrated near the interface, where the two models are combined. In this paper, a new method is proposed to suppress the error at the interface, and as a consequence, the overall accuracy is improved. The method is motivated by formulating the molecular mechanics model as a two-stage minimization problem. In particular, it is demonstrated that the error at the interface can be considerably reduced when new basis functions are introduced in a Galerkin projection formalism. The improve","authors_text":"Carlos J. Garc\\'ia-Cervera, Jingrun Chen, Xiantao Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-10T18:47:38Z","title":"An atomistic/continuum coupling method using enriched bases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2866","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":"sha256:8ff93fec4a25ffc783cbe0c1e98add0664497d89e890bf19e32e2ceef541f20a","target":"record","created_at":"2026-05-18T02:16:39Z","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":"f0ec629d4e3d4ab4c4ad3293b01261d94ff27b530156fb1d7be8edec407dafec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-10T18:47:38Z","title_canon_sha256":"c79433a9c4523b6e8e16275cd3c9dfbbf327c932385dae1124681ca3485940ba"},"schema_version":"1.0","source":{"id":"1410.2866","kind":"arxiv","version":2}},"canonical_sha256":"0e4084f6cd2bb7649b1462c85bbdf71f56c956bcf66fbd0ec49d651005fce990","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e4084f6cd2bb7649b1462c85bbdf71f56c956bcf66fbd0ec49d651005fce990","first_computed_at":"2026-05-18T02:16:39.218453Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:39.218453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ItzWxODVcEX2rYKKn3Tnnix0pAWnsLalM5yctJl6azZiIGrMScXxbQTK4F5bxTAMkoWzlkPSEBJuIGTHa62ICg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:39.218950Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.2866","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ff93fec4a25ffc783cbe0c1e98add0664497d89e890bf19e32e2ceef541f20a","sha256:97a6b2b5377ee0788d15d2a4462186a985596af80fcfc6171b9830222990f6dc"],"state_sha256":"2e69f99eb561c2c8f7e3095c29d8d495ea67d75ea0888a9e8e12a777f5a73eb2"}