{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:JM4OFK42XUX4FZIF4WYTG5FPJE","short_pith_number":"pith:JM4OFK42","schema_version":"1.0","canonical_sha256":"4b38e2ab9abd2fc2e505e5b13374af493487a45da1a9dfe573c97eda351ab9dc","source":{"kind":"arxiv","id":"1409.3550","version":4},"attestation_state":"computed","paper":{"title":"Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"physics.geo-ph","authors_text":"Eric T. Chung, Kai Gao, Richard L. Gibson Jr., Shubin Fu, Yalchin Efendiev","submitted_at":"2014-09-11T19:27:16Z","abstract_excerpt":"It is important to develop fast yet accurate numerical methods for seismic wave propagation to characterize complex geological structures and oil and gas reservoirs. However, the computational cost of conventional numerical modeling methods, such as finite-difference method and finite-element method, becomes prohibitively expensive when applied to very large models. We propose a Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media, where we construct basis functions from multiple local problems for both the boundaries and interi"},"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":"1409.3550","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2014-09-11T19:27:16Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"41a5cdad8d6d1076d7dac3ee3e6c31dfc3c30c3c326da5bd533bc6ffdbf98bc7","abstract_canon_sha256":"e56c1d2f2b1e7099ef0582ceb9fe538bd1bdbca0f645c53fabe6bb6efb8d2a9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:10.675344Z","signature_b64":"IuBWnLXew5Ed7YPxRoDxdXZAJYRYTt+XTZurtim1ifaHThKiB7jvlC/vQ4H5Ts5Wj61Q4oruz6bNYGzysV32Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b38e2ab9abd2fc2e505e5b13374af493487a45da1a9dfe573c97eda351ab9dc","last_reissued_at":"2026-05-18T02:04:10.674598Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:10.674598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"physics.geo-ph","authors_text":"Eric T. Chung, Kai Gao, Richard L. Gibson Jr., Shubin Fu, Yalchin Efendiev","submitted_at":"2014-09-11T19:27:16Z","abstract_excerpt":"It is important to develop fast yet accurate numerical methods for seismic wave propagation to characterize complex geological structures and oil and gas reservoirs. However, the computational cost of conventional numerical modeling methods, such as finite-difference method and finite-element method, becomes prohibitively expensive when applied to very large models. We propose a Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media, where we construct basis functions from multiple local problems for both the boundaries and interi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3550","kind":"arxiv","version":4},"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":"1409.3550","created_at":"2026-05-18T02:04:10.674723+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.3550v4","created_at":"2026-05-18T02:04:10.674723+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3550","created_at":"2026-05-18T02:04:10.674723+00:00"},{"alias_kind":"pith_short_12","alias_value":"JM4OFK42XUX4","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"JM4OFK42XUX4FZIF","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"JM4OFK42","created_at":"2026-05-18T12:28:33.132498+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/JM4OFK42XUX4FZIF4WYTG5FPJE","json":"https://pith.science/pith/JM4OFK42XUX4FZIF4WYTG5FPJE.json","graph_json":"https://pith.science/api/pith-number/JM4OFK42XUX4FZIF4WYTG5FPJE/graph.json","events_json":"https://pith.science/api/pith-number/JM4OFK42XUX4FZIF4WYTG5FPJE/events.json","paper":"https://pith.science/paper/JM4OFK42"},"agent_actions":{"view_html":"https://pith.science/pith/JM4OFK42XUX4FZIF4WYTG5FPJE","download_json":"https://pith.science/pith/JM4OFK42XUX4FZIF4WYTG5FPJE.json","view_paper":"https://pith.science/paper/JM4OFK42","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.3550&json=true","fetch_graph":"https://pith.science/api/pith-number/JM4OFK42XUX4FZIF4WYTG5FPJE/graph.json","fetch_events":"https://pith.science/api/pith-number/JM4OFK42XUX4FZIF4WYTG5FPJE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JM4OFK42XUX4FZIF4WYTG5FPJE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JM4OFK42XUX4FZIF4WYTG5FPJE/action/storage_attestation","attest_author":"https://pith.science/pith/JM4OFK42XUX4FZIF4WYTG5FPJE/action/author_attestation","sign_citation":"https://pith.science/pith/JM4OFK42XUX4FZIF4WYTG5FPJE/action/citation_signature","submit_replication":"https://pith.science/pith/JM4OFK42XUX4FZIF4WYTG5FPJE/action/replication_record"}},"created_at":"2026-05-18T02:04:10.674723+00:00","updated_at":"2026-05-18T02:04:10.674723+00:00"}