{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:JFUWRUHFEZM5XDFYJU5AMUDKIB","short_pith_number":"pith:JFUWRUHF","schema_version":"1.0","canonical_sha256":"496968d0e52659db8cb84d3a06506a40408d3ce62a1c0773bf41acdf4c375725","source":{"kind":"arxiv","id":"1711.01818","version":1},"attestation_state":"computed","paper":{"title":"Dual Virtual Element Methods for Discrete Fracture Matrix Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Alessio Fumagalli, Eirik Keilegavlen","submitted_at":"2017-11-06T10:25:33Z","abstract_excerpt":"The accurate description of fluid flow and transport in fractured porous media is of paramount importance to capture the macroscopic behaviour of an oil reservoir, a geothermal system, or a CO2 sequestration site, to name few applications. The construction of accurate simulation model for flow in fractures is challenging due to the high ratios between a fracture's length and width, which makes modeling by lower-dimensional manifolds a natural option. In this paper we present a mixed-dimensional Darcy problem able to describe pressure and Darcy velocity in all the dimensions, i.e. in the rock m"},"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":"1711.01818","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-06T10:25:33Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"48eacc6c5d4f43a20a43c870914bd61fcda282fe6dfde64e194ab4ba882eecd9","abstract_canon_sha256":"8e92233d1924aef5fd4d45bb2817bcbb87d8fc0a9632236a72956315885b83e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T19:11:09.332014Z","signature_b64":"1MgZPkqL2ejbqxGkQKFGfqA35js6J+KJSz7BPOjhgeDbsfwJznhwk+PqfRVuYdQHIl54PVPu19Bg/7hh8BlbAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"496968d0e52659db8cb84d3a06506a40408d3ce62a1c0773bf41acdf4c375725","last_reissued_at":"2026-06-04T19:11:09.331579Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T19:11:09.331579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dual Virtual Element Methods for Discrete Fracture Matrix Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Alessio Fumagalli, Eirik Keilegavlen","submitted_at":"2017-11-06T10:25:33Z","abstract_excerpt":"The accurate description of fluid flow and transport in fractured porous media is of paramount importance to capture the macroscopic behaviour of an oil reservoir, a geothermal system, or a CO2 sequestration site, to name few applications. The construction of accurate simulation model for flow in fractures is challenging due to the high ratios between a fracture's length and width, which makes modeling by lower-dimensional manifolds a natural option. In this paper we present a mixed-dimensional Darcy problem able to describe pressure and Darcy velocity in all the dimensions, i.e. in the rock m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01818","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1711.01818/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1711.01818","created_at":"2026-06-04T19:11:09.331644+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.01818v1","created_at":"2026-06-04T19:11:09.331644+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01818","created_at":"2026-06-04T19:11:09.331644+00:00"},{"alias_kind":"pith_short_12","alias_value":"JFUWRUHFEZM5","created_at":"2026-06-04T19:11:09.331644+00:00"},{"alias_kind":"pith_short_16","alias_value":"JFUWRUHFEZM5XDFY","created_at":"2026-06-04T19:11:09.331644+00:00"},{"alias_kind":"pith_short_8","alias_value":"JFUWRUHF","created_at":"2026-06-04T19:11:09.331644+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/JFUWRUHFEZM5XDFYJU5AMUDKIB","json":"https://pith.science/pith/JFUWRUHFEZM5XDFYJU5AMUDKIB.json","graph_json":"https://pith.science/api/pith-number/JFUWRUHFEZM5XDFYJU5AMUDKIB/graph.json","events_json":"https://pith.science/api/pith-number/JFUWRUHFEZM5XDFYJU5AMUDKIB/events.json","paper":"https://pith.science/paper/JFUWRUHF"},"agent_actions":{"view_html":"https://pith.science/pith/JFUWRUHFEZM5XDFYJU5AMUDKIB","download_json":"https://pith.science/pith/JFUWRUHFEZM5XDFYJU5AMUDKIB.json","view_paper":"https://pith.science/paper/JFUWRUHF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.01818&json=true","fetch_graph":"https://pith.science/api/pith-number/JFUWRUHFEZM5XDFYJU5AMUDKIB/graph.json","fetch_events":"https://pith.science/api/pith-number/JFUWRUHFEZM5XDFYJU5AMUDKIB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JFUWRUHFEZM5XDFYJU5AMUDKIB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JFUWRUHFEZM5XDFYJU5AMUDKIB/action/storage_attestation","attest_author":"https://pith.science/pith/JFUWRUHFEZM5XDFYJU5AMUDKIB/action/author_attestation","sign_citation":"https://pith.science/pith/JFUWRUHFEZM5XDFYJU5AMUDKIB/action/citation_signature","submit_replication":"https://pith.science/pith/JFUWRUHFEZM5XDFYJU5AMUDKIB/action/replication_record"}},"created_at":"2026-06-04T19:11:09.331644+00:00","updated_at":"2026-06-04T19:11:09.331644+00:00"}