{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:FAIS6FKP5WKZQMOUOVUP2HI7O3","short_pith_number":"pith:FAIS6FKP","schema_version":"1.0","canonical_sha256":"28112f154fed959831d47568fd1d1f76d375e78ac9660e37a7cc90e07b6fffe2","source":{"kind":"arxiv","id":"1802.05566","version":2},"attestation_state":"computed","paper":{"title":"The gradient flow structure of an extended Maxwell viscoelastic model and a structure-preserving finite element scheme","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Hirofumi Notsu, Hiroki Yamamoto, Masato Kimura, Yoshimi Tanaka","submitted_at":"2018-02-15T14:32:15Z","abstract_excerpt":"An extended Maxwell viscoelastic model with a relaxation parameter is studied from mathematical and numerical points of view. It is shown that the model has a gradient flow property with respect to a viscoelastic energy. Based on the gradient flow structure, a structure-preserving time-discrete model is proposed and existence of a unique solution is proved. Moreover, a structure-preserving P1/P0 finite element scheme is presented and its stability in the sense of energy is shown by using its discrete gradient flow structure. As typical viscoelastic phenomena, two-dimensional numerical examples"},"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":"1802.05566","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-15T14:32:15Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"975c37b9ed152a38dd800dd3bd5a65b8f559279551a12526283217f57f4df94e","abstract_canon_sha256":"6ac9c24cae25976a3890884941809868131f0594ac08c34ddf301a95b430db39"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T19:11:31.264296Z","signature_b64":"mHjWhVBiBneByP2cJxw6b303Z/ZvwCmeVIvGM+hDXbtnnOxsDFTlnYUfYAEadkkEHStEN4aR96ckZovs4D7wDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28112f154fed959831d47568fd1d1f76d375e78ac9660e37a7cc90e07b6fffe2","last_reissued_at":"2026-06-04T19:11:31.263716Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T19:11:31.263716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The gradient flow structure of an extended Maxwell viscoelastic model and a structure-preserving finite element scheme","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Hirofumi Notsu, Hiroki Yamamoto, Masato Kimura, Yoshimi Tanaka","submitted_at":"2018-02-15T14:32:15Z","abstract_excerpt":"An extended Maxwell viscoelastic model with a relaxation parameter is studied from mathematical and numerical points of view. It is shown that the model has a gradient flow property with respect to a viscoelastic energy. Based on the gradient flow structure, a structure-preserving time-discrete model is proposed and existence of a unique solution is proved. Moreover, a structure-preserving P1/P0 finite element scheme is presented and its stability in the sense of energy is shown by using its discrete gradient flow structure. As typical viscoelastic phenomena, two-dimensional numerical examples"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.05566","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1802.05566/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":"1802.05566","created_at":"2026-06-04T19:11:31.263783+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.05566v2","created_at":"2026-06-04T19:11:31.263783+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.05566","created_at":"2026-06-04T19:11:31.263783+00:00"},{"alias_kind":"pith_short_12","alias_value":"FAIS6FKP5WKZ","created_at":"2026-06-04T19:11:31.263783+00:00"},{"alias_kind":"pith_short_16","alias_value":"FAIS6FKP5WKZQMOU","created_at":"2026-06-04T19:11:31.263783+00:00"},{"alias_kind":"pith_short_8","alias_value":"FAIS6FKP","created_at":"2026-06-04T19:11:31.263783+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/FAIS6FKP5WKZQMOUOVUP2HI7O3","json":"https://pith.science/pith/FAIS6FKP5WKZQMOUOVUP2HI7O3.json","graph_json":"https://pith.science/api/pith-number/FAIS6FKP5WKZQMOUOVUP2HI7O3/graph.json","events_json":"https://pith.science/api/pith-number/FAIS6FKP5WKZQMOUOVUP2HI7O3/events.json","paper":"https://pith.science/paper/FAIS6FKP"},"agent_actions":{"view_html":"https://pith.science/pith/FAIS6FKP5WKZQMOUOVUP2HI7O3","download_json":"https://pith.science/pith/FAIS6FKP5WKZQMOUOVUP2HI7O3.json","view_paper":"https://pith.science/paper/FAIS6FKP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.05566&json=true","fetch_graph":"https://pith.science/api/pith-number/FAIS6FKP5WKZQMOUOVUP2HI7O3/graph.json","fetch_events":"https://pith.science/api/pith-number/FAIS6FKP5WKZQMOUOVUP2HI7O3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FAIS6FKP5WKZQMOUOVUP2HI7O3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FAIS6FKP5WKZQMOUOVUP2HI7O3/action/storage_attestation","attest_author":"https://pith.science/pith/FAIS6FKP5WKZQMOUOVUP2HI7O3/action/author_attestation","sign_citation":"https://pith.science/pith/FAIS6FKP5WKZQMOUOVUP2HI7O3/action/citation_signature","submit_replication":"https://pith.science/pith/FAIS6FKP5WKZQMOUOVUP2HI7O3/action/replication_record"}},"created_at":"2026-06-04T19:11:31.263783+00:00","updated_at":"2026-06-04T19:11:31.263783+00:00"}