{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:ILXEL5M2XCKICATE7FDI7HLCVO","short_pith_number":"pith:ILXEL5M2","schema_version":"1.0","canonical_sha256":"42ee45f59ab894810264f9468f9d62abafa81f0f27f192da80bcc2aa7e66811e","source":{"kind":"arxiv","id":"1807.10955","version":1},"attestation_state":"computed","paper":{"title":"Constraint Energy Minimizing Generalized Multiscale Finite Element Method for dual continuum model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Eric T. Chung, Maria Vasilyeva, Siu Wun Cheung, Wing Tat Leung, Yalchin Efendiev","submitted_at":"2018-07-28T15:56:53Z","abstract_excerpt":"The dual continuum model serves as a powerful tool in the modeling of subsurface applications. It allows a systematic coupling of various components of the solutions. The system is of multiscale nature as it involves high heterogeneous and high contrast coefficients. To numerically compute the solutions, some types of reduced order methods are necessary. We will develop and analyze a novel multiscale method based on the recent advances in multiscale finite element methods. Our method will compute multiple local multiscale basis functions per coarse region. The idea is based on some local spect"},"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":"1807.10955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-28T15:56:53Z","cross_cats_sorted":[],"title_canon_sha256":"70613eac7ad61a4d1b677a7afcd9d1739bdf9daf5f9edbc77d843adbb8140eda","abstract_canon_sha256":"29801fdeb73fed64d0466e0802d7bfef531de1affe0099e20c735d4a94f96e47"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:34.909465Z","signature_b64":"SPLBJy4mFw33avqU6rHi69uYc5nfIFLF0z7ysCTmX4HWuAPpMtopWmn/6bsbfvhdtRSoL0H7c4xHXYEa/VO1CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42ee45f59ab894810264f9468f9d62abafa81f0f27f192da80bcc2aa7e66811e","last_reissued_at":"2026-05-18T00:09:34.909068Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:34.909068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constraint Energy Minimizing Generalized Multiscale Finite Element Method for dual continuum model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Eric T. Chung, Maria Vasilyeva, Siu Wun Cheung, Wing Tat Leung, Yalchin Efendiev","submitted_at":"2018-07-28T15:56:53Z","abstract_excerpt":"The dual continuum model serves as a powerful tool in the modeling of subsurface applications. It allows a systematic coupling of various components of the solutions. The system is of multiscale nature as it involves high heterogeneous and high contrast coefficients. To numerically compute the solutions, some types of reduced order methods are necessary. We will develop and analyze a novel multiscale method based on the recent advances in multiscale finite element methods. Our method will compute multiple local multiscale basis functions per coarse region. The idea is based on some local spect"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.10955","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":"1807.10955","created_at":"2026-05-18T00:09:34.909128+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.10955v1","created_at":"2026-05-18T00:09:34.909128+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.10955","created_at":"2026-05-18T00:09:34.909128+00:00"},{"alias_kind":"pith_short_12","alias_value":"ILXEL5M2XCKI","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"ILXEL5M2XCKICATE","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"ILXEL5M2","created_at":"2026-05-18T12:32:31.084164+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/ILXEL5M2XCKICATE7FDI7HLCVO","json":"https://pith.science/pith/ILXEL5M2XCKICATE7FDI7HLCVO.json","graph_json":"https://pith.science/api/pith-number/ILXEL5M2XCKICATE7FDI7HLCVO/graph.json","events_json":"https://pith.science/api/pith-number/ILXEL5M2XCKICATE7FDI7HLCVO/events.json","paper":"https://pith.science/paper/ILXEL5M2"},"agent_actions":{"view_html":"https://pith.science/pith/ILXEL5M2XCKICATE7FDI7HLCVO","download_json":"https://pith.science/pith/ILXEL5M2XCKICATE7FDI7HLCVO.json","view_paper":"https://pith.science/paper/ILXEL5M2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.10955&json=true","fetch_graph":"https://pith.science/api/pith-number/ILXEL5M2XCKICATE7FDI7HLCVO/graph.json","fetch_events":"https://pith.science/api/pith-number/ILXEL5M2XCKICATE7FDI7HLCVO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ILXEL5M2XCKICATE7FDI7HLCVO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ILXEL5M2XCKICATE7FDI7HLCVO/action/storage_attestation","attest_author":"https://pith.science/pith/ILXEL5M2XCKICATE7FDI7HLCVO/action/author_attestation","sign_citation":"https://pith.science/pith/ILXEL5M2XCKICATE7FDI7HLCVO/action/citation_signature","submit_replication":"https://pith.science/pith/ILXEL5M2XCKICATE7FDI7HLCVO/action/replication_record"}},"created_at":"2026-05-18T00:09:34.909128+00:00","updated_at":"2026-05-18T00:09:34.909128+00:00"}