{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FSOCUXUWQFIYDCZWSC4RXIDGBO","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":"99d3046425377c30c217a50e488703f7f75096546f639e2bfb8b794a118fbfe6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-28T18:33:25Z","title_canon_sha256":"489ec2526ae90e0f29545775b463ed53e9541c5ee8e8285ab1017326619c1515"},"schema_version":"1.0","source":{"id":"1709.10123","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.10123","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"arxiv_version","alias_value":"1709.10123v2","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.10123","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"pith_short_12","alias_value":"FSOCUXUWQFIY","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FSOCUXUWQFIYDCZW","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FSOCUXUW","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:333b021a5418dbb7d8cf9bd09e949e5d552c1841f5d2e9179ac11fed243541af","target":"graph","created_at":"2026-05-18T00:28:04Z","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 study existence, uniqueness and asymptotic behavior of the Laplace equation with dynamical boundary conditions on regular non-cylindrical domains. We write the problem as a non-autonomous Dirichlet-to-Neumann operator and use form methods in a more general framework to accomplish our goal. A class of non-autonomous elliptic problems with dynamical boundary conditions on Lipschitz domains is also considered in this same context.","authors_text":"Marcone C. Pereira, Pedro T. P. Lopes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-28T18:33:25Z","title":"Dynamical boundary conditions in a non-cylindrical domain for the Laplace equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.10123","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:d767810c07cac8de4cdd24083955518621fc98da7e6b97df282e095d251bfd79","target":"record","created_at":"2026-05-18T00:28:04Z","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":"99d3046425377c30c217a50e488703f7f75096546f639e2bfb8b794a118fbfe6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-28T18:33:25Z","title_canon_sha256":"489ec2526ae90e0f29545775b463ed53e9541c5ee8e8285ab1017326619c1515"},"schema_version":"1.0","source":{"id":"1709.10123","kind":"arxiv","version":2}},"canonical_sha256":"2c9c2a5e968151818b3690b91ba0660bb3705b3c4b340bfe468ee06eada1e00c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c9c2a5e968151818b3690b91ba0660bb3705b3c4b340bfe468ee06eada1e00c","first_computed_at":"2026-05-18T00:28:04.488735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:04.488735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZNo5KQig7DbH6hQ2z+fnE0FFrME1ydsTJGf+QnsJZbxcDfDa+otWuHcQPIYOjStNVxbLcRzshdW8UdczKwmrAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:04.489359Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.10123","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d767810c07cac8de4cdd24083955518621fc98da7e6b97df282e095d251bfd79","sha256:333b021a5418dbb7d8cf9bd09e949e5d552c1841f5d2e9179ac11fed243541af"],"state_sha256":"bf93bcc7174ffe2d7433b08526d698aa6d26496f0e07fe2bef48a58de41c7679"}