{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EBEKKBY4STGGOTPMRR5LROCNNH","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":"f324d0cd15197966c16ed4ea9a80fc4904ee46404816e2f2af142e4f48ac7a82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-02-16T12:02:07Z","title_canon_sha256":"43a30452522243561f882a699de52304e296aa92c6e5da63e92901dc1fb1e920"},"schema_version":"1.0","source":{"id":"1402.3791","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3791","created_at":"2026-05-18T02:58:55Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3791v1","created_at":"2026-05-18T02:58:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3791","created_at":"2026-05-18T02:58:55Z"},{"alias_kind":"pith_short_12","alias_value":"EBEKKBY4STGG","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"EBEKKBY4STGGOTPM","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"EBEKKBY4","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:363e47865ede0a71e493230e3c9b227dd80a6a4cd4ff974c96ae3852b5f60b90","target":"graph","created_at":"2026-05-18T02:58:55Z","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 Stokes equation on a domain $\\Omega \\subset R^n$ is well understood in the $L^p$-setting for a large class of domains including bounded and exterior domains with smooth boundaries provided $1<p<\\infty$. The situation is very different for the case $p=\\infty$ since in this case the Helmholtz projection does not act as a bounded operator anymore. Nevertheless it was recently proved by the first and the second author of this paper by a contradiction argument that the Stokes operator generates an analytic semigroup on spaces of bounded functions for a large class of domains. This paper present","authors_text":"Ken Abe, Matthias Hieber, Yoshikazu Giga","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-02-16T12:02:07Z","title":"Stokes Resolvent Estimates in Spaces of Bounded Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3791","kind":"arxiv","version":1},"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":"sha256:6044b2dfcea98dd146b3d5b93868328621dfb98d15d48d8f424c55ffb12f0181","target":"record","created_at":"2026-05-18T02:58:55Z","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":"f324d0cd15197966c16ed4ea9a80fc4904ee46404816e2f2af142e4f48ac7a82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-02-16T12:02:07Z","title_canon_sha256":"43a30452522243561f882a699de52304e296aa92c6e5da63e92901dc1fb1e920"},"schema_version":"1.0","source":{"id":"1402.3791","kind":"arxiv","version":1}},"canonical_sha256":"2048a5071c94cc674dec8c7ab8b84d69dae6464ca4130fe728098f50e428063f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2048a5071c94cc674dec8c7ab8b84d69dae6464ca4130fe728098f50e428063f","first_computed_at":"2026-05-18T02:58:55.592504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:55.592504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eOXa4vJCM5EKwfJznALWLEwKTG4izoFVq0jiHWjDw9p55Mb/89qXdAX9rucNWco1pFX627y2tfKFQchsZDadCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:55.592978Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3791","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6044b2dfcea98dd146b3d5b93868328621dfb98d15d48d8f424c55ffb12f0181","sha256:363e47865ede0a71e493230e3c9b227dd80a6a4cd4ff974c96ae3852b5f60b90"],"state_sha256":"142365ea1210e3993681dd095f6ec135aef2a3d041aaa44cf308df2f05d3965c"}