{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ELJORC2WFOVCQMAHJYR3SPSXQ5","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":"146cf9250cea70548e13e746bc30b83101542ed56d96b8340b8ea37eb3ce036c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-07T12:02:23Z","title_canon_sha256":"a613b63f308d1b80b95ed1161c0fe6aad811beeb98b7d5c25fcb0fab6a4862df"},"schema_version":"1.0","source":{"id":"1809.02424","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.02424","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1809.02424v2","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.02424","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"ELJORC2WFOVC","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"ELJORC2WFOVCQMAH","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"ELJORC2W","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:9e43a1bd0fb12fcb0ba63b6abba589535d59742d49c11163794a4218209b4b74","target":"graph","created_at":"2026-05-18T00:03:55Z","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":"The time-periodic Stokes problem in a half-space with fully inhomogeneous right-hand side is investigated. Maximal regularity in a time-periodic Lp setting is established. A method based on Fourier multipliers is employed that leads to a decomposition of the solution into a steady-state and a purely oscillatory part in order to identify the optimal function spaces.","authors_text":"Aday Celik, Mads Kyed","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-07T12:02:23Z","title":"Time-periodic Stokes equations with inhomogeneous Dirichlet boundary conditions in a half-space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02424","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":"sha256:5b1a9b88e18fbaf84bfb38f9f4960e9d1f1bc82db6db617cb53584e944ef9a08","target":"record","created_at":"2026-05-18T00:03:55Z","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":"146cf9250cea70548e13e746bc30b83101542ed56d96b8340b8ea37eb3ce036c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-07T12:02:23Z","title_canon_sha256":"a613b63f308d1b80b95ed1161c0fe6aad811beeb98b7d5c25fcb0fab6a4862df"},"schema_version":"1.0","source":{"id":"1809.02424","kind":"arxiv","version":2}},"canonical_sha256":"22d2e88b562baa2830074e23b93e57875ba5fc126566f4f808311e546a4e427b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22d2e88b562baa2830074e23b93e57875ba5fc126566f4f808311e546a4e427b","first_computed_at":"2026-05-18T00:03:55.395612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:55.395612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ht+DQuwK5DONAQosDoxw2loA7pXTFUjrqmKNS0lZmgAFD2hZrd7As54LGiwg3mKKibdiKKLCWv7PqKddxSL1CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:55.396207Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.02424","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b1a9b88e18fbaf84bfb38f9f4960e9d1f1bc82db6db617cb53584e944ef9a08","sha256:9e43a1bd0fb12fcb0ba63b6abba589535d59742d49c11163794a4218209b4b74"],"state_sha256":"91e7af7a69fed54c85d9b5a4327b8bc9e715d04e092e24be7675a7781a56801f"}