{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:COWAEHKDYHTQOAZHE2TILNP3XE","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":"c177ea240d0380a20f372e5aecb64685a13ef716cbab45733ab206ac138c72b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-04T10:14:00Z","title_canon_sha256":"c4184af57430699e61862d029a00327c9c7766b6fef174af75410ada0431b3a6"},"schema_version":"1.0","source":{"id":"1605.01208","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01208","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01208v2","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01208","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"pith_short_12","alias_value":"COWAEHKDYHTQ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"COWAEHKDYHTQOAZH","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"COWAEHKD","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:41f943dbc5a5f03a8c875b21641832be7e2d4189583033e82fe9a29420f86d8f","target":"graph","created_at":"2026-05-18T01:15:33Z","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"},"paper":{"abstract_excerpt":"In this paper, we propose a fully discrete mixed finite element method for solving the time-dependent Ginzburg--Landau equations, and prove the convergence of the finite element solutions in general curved polyhedra, possibly nonconvex and multi-connected, without assumptions on the regularity of the solution. Global existence and uniqueness of weak solutions for the PDE problem are also obtained in the meantime. A decoupled time-stepping scheme is introduced, which guarantees that the discrete solution has bounded discrete energy, and the finite element spaces are chosen to be compatible with","authors_text":"Buyang Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-04T10:14:00Z","title":"Convergence of a decoupled mixed FEM for the dynamic Ginzburg--Landau equations in nonsmooth domains with incompatible initial data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01208","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":"sha256:0d319aa9570c57895adb32b04b58858f04b3df413897ff513478eee2b53e20ff","target":"record","created_at":"2026-05-18T01:15:33Z","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":"c177ea240d0380a20f372e5aecb64685a13ef716cbab45733ab206ac138c72b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-04T10:14:00Z","title_canon_sha256":"c4184af57430699e61862d029a00327c9c7766b6fef174af75410ada0431b3a6"},"schema_version":"1.0","source":{"id":"1605.01208","kind":"arxiv","version":2}},"canonical_sha256":"13ac021d43c1e707032726a685b5fbb91c313368005ad5b6f7b0563e485ec075","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13ac021d43c1e707032726a685b5fbb91c313368005ad5b6f7b0563e485ec075","first_computed_at":"2026-05-18T01:15:33.757342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:33.757342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5JmT3EkhJQIv40q2EHJBjHQ3hU1Vd3XaXS2t2gCSWwXdyk3xaqy/920ZM9Ib9KUmFNzQwV7MjCRgiBJIgSGjCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:33.757903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01208","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d319aa9570c57895adb32b04b58858f04b3df413897ff513478eee2b53e20ff","sha256:41f943dbc5a5f03a8c875b21641832be7e2d4189583033e82fe9a29420f86d8f"],"state_sha256":"0d05defacd1fc225e213ccfb63a5bab116bf974e98f894675ce9f06fb24c985c"}