{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:5Z4RPDMGLCDFO6MY5RV2UCVWAF","short_pith_number":"pith:5Z4RPDMG","schema_version":"1.0","canonical_sha256":"ee79178d865886577998ec6baa0ab60176af29b75af485af6aa4a5d1f225a8c8","source":{"kind":"arxiv","id":"1304.1368","version":2},"attestation_state":"computed","paper":{"title":"Theory-based Benchmarking of the Blended Force-Based Quasicontinuum Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"math.NA","authors_text":"Alexander V. Shapeev, Christoph Ortner, Mitchell Luskin, Xingjie Helen Li","submitted_at":"2013-04-04T14:05:10Z","abstract_excerpt":"We formulate an atomistic-to-continuum coupling method based on blending atomistic and continuum forces. Our precise choice of blending mechanism is informed by theoretical predictions. We present a range of numerical experiments studying the accuracy of the scheme, focusing in particular on its stability. These experiments confirm and extend the theoretical predictions, and demonstrate a superior accuracy of B-QCF over energy-based blending schemes."},"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":"1304.1368","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-04T14:05:10Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"98eefb65abc39cb8a0e163cca947c2c1adfc5320e8cff3d06544cb027ac93543","abstract_canon_sha256":"b8d8cbe486ca9e7d79d0a172ee4309877ce84952af95f0c24e137e094c5f9296"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:43.022808Z","signature_b64":"8yyemWi0MiWEFJwLk0TiCl4LDykF0sUrtmyChWxutFTFosTfCRXN3O0Z9hENyXYfDJylyvOrilZCOkM2f8NrCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee79178d865886577998ec6baa0ab60176af29b75af485af6aa4a5d1f225a8c8","last_reissued_at":"2026-05-18T01:50:43.022105Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:43.022105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theory-based Benchmarking of the Blended Force-Based Quasicontinuum Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"math.NA","authors_text":"Alexander V. Shapeev, Christoph Ortner, Mitchell Luskin, Xingjie Helen Li","submitted_at":"2013-04-04T14:05:10Z","abstract_excerpt":"We formulate an atomistic-to-continuum coupling method based on blending atomistic and continuum forces. Our precise choice of blending mechanism is informed by theoretical predictions. We present a range of numerical experiments studying the accuracy of the scheme, focusing in particular on its stability. These experiments confirm and extend the theoretical predictions, and demonstrate a superior accuracy of B-QCF over energy-based blending schemes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1368","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1304.1368","created_at":"2026-05-18T01:50:43.022214+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.1368v2","created_at":"2026-05-18T01:50:43.022214+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1368","created_at":"2026-05-18T01:50:43.022214+00:00"},{"alias_kind":"pith_short_12","alias_value":"5Z4RPDMGLCDF","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_16","alias_value":"5Z4RPDMGLCDFO6MY","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_8","alias_value":"5Z4RPDMG","created_at":"2026-05-18T12:27:34.582898+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/5Z4RPDMGLCDFO6MY5RV2UCVWAF","json":"https://pith.science/pith/5Z4RPDMGLCDFO6MY5RV2UCVWAF.json","graph_json":"https://pith.science/api/pith-number/5Z4RPDMGLCDFO6MY5RV2UCVWAF/graph.json","events_json":"https://pith.science/api/pith-number/5Z4RPDMGLCDFO6MY5RV2UCVWAF/events.json","paper":"https://pith.science/paper/5Z4RPDMG"},"agent_actions":{"view_html":"https://pith.science/pith/5Z4RPDMGLCDFO6MY5RV2UCVWAF","download_json":"https://pith.science/pith/5Z4RPDMGLCDFO6MY5RV2UCVWAF.json","view_paper":"https://pith.science/paper/5Z4RPDMG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.1368&json=true","fetch_graph":"https://pith.science/api/pith-number/5Z4RPDMGLCDFO6MY5RV2UCVWAF/graph.json","fetch_events":"https://pith.science/api/pith-number/5Z4RPDMGLCDFO6MY5RV2UCVWAF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5Z4RPDMGLCDFO6MY5RV2UCVWAF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5Z4RPDMGLCDFO6MY5RV2UCVWAF/action/storage_attestation","attest_author":"https://pith.science/pith/5Z4RPDMGLCDFO6MY5RV2UCVWAF/action/author_attestation","sign_citation":"https://pith.science/pith/5Z4RPDMGLCDFO6MY5RV2UCVWAF/action/citation_signature","submit_replication":"https://pith.science/pith/5Z4RPDMGLCDFO6MY5RV2UCVWAF/action/replication_record"}},"created_at":"2026-05-18T01:50:43.022214+00:00","updated_at":"2026-05-18T01:50:43.022214+00:00"}