{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FAIS6FKP5WKZQMOUOVUP2HI7O3","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6ac9c24cae25976a3890884941809868131f0594ac08c34ddf301a95b430db39","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-15T14:32:15Z","title_canon_sha256":"975c37b9ed152a38dd800dd3bd5a65b8f559279551a12526283217f57f4df94e"},"schema_version":"1.0","source":{"id":"1802.05566","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.05566","created_at":"2026-06-04T19:11:31Z"},{"alias_kind":"arxiv_version","alias_value":"1802.05566v2","created_at":"2026-06-04T19:11:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.05566","created_at":"2026-06-04T19:11:31Z"},{"alias_kind":"pith_short_12","alias_value":"FAIS6FKP5WKZ","created_at":"2026-06-04T19:11:31Z"},{"alias_kind":"pith_short_16","alias_value":"FAIS6FKP5WKZQMOU","created_at":"2026-06-04T19:11:31Z"},{"alias_kind":"pith_short_8","alias_value":"FAIS6FKP","created_at":"2026-06-04T19:11:31Z"}],"graph_snapshots":[{"event_id":"sha256:8df3bbfc944279ce04e31c0905babf00e2c8a7b177ecf6a09a7fe50641aef2c9","target":"graph","created_at":"2026-06-04T19:11:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1802.05566/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Hirofumi Notsu, Hiroki Yamamoto, Masato Kimura, Yoshimi Tanaka","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-15T14:32:15Z","title":"The gradient flow structure of an extended Maxwell viscoelastic model and a structure-preserving finite element scheme"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.05566","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:45907a836b306e2af3c2d6aabd394b960c3b31a0783970b3a79810f7cacf19da","target":"record","created_at":"2026-06-04T19:11:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6ac9c24cae25976a3890884941809868131f0594ac08c34ddf301a95b430db39","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-15T14:32:15Z","title_canon_sha256":"975c37b9ed152a38dd800dd3bd5a65b8f559279551a12526283217f57f4df94e"},"schema_version":"1.0","source":{"id":"1802.05566","kind":"arxiv","version":2}},"canonical_sha256":"28112f154fed959831d47568fd1d1f76d375e78ac9660e37a7cc90e07b6fffe2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28112f154fed959831d47568fd1d1f76d375e78ac9660e37a7cc90e07b6fffe2","first_computed_at":"2026-06-04T19:11:31.263716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T19:11:31.263716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mHjWhVBiBneByP2cJxw6b303Z/ZvwCmeVIvGM+hDXbtnnOxsDFTlnYUfYAEadkkEHStEN4aR96ckZovs4D7wDA==","signature_status":"signed_v1","signed_at":"2026-06-04T19:11:31.264296Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.05566","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45907a836b306e2af3c2d6aabd394b960c3b31a0783970b3a79810f7cacf19da","sha256:8df3bbfc944279ce04e31c0905babf00e2c8a7b177ecf6a09a7fe50641aef2c9"],"state_sha256":"6d1bc2593b25a75ff80d35346f500914a23e67ad2389f4267daa115557d58727"}