{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KKPR7TFRPTNEYZUYMI4LKVMQS5","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":"9b2b57ae04b8de43cfb0a3c7bb93e4dd007e05262a608c16da9162b99817eaba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-09-10T03:11:33Z","title_canon_sha256":"5b8e8fe9b19c8bec52fc78406a3beec6ad770126b0363d878b0e517a58dec779"},"schema_version":"1.0","source":{"id":"1509.02994","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.02994","created_at":"2026-05-18T01:20:03Z"},{"alias_kind":"arxiv_version","alias_value":"1509.02994v2","created_at":"2026-05-18T01:20:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02994","created_at":"2026-05-18T01:20:03Z"},{"alias_kind":"pith_short_12","alias_value":"KKPR7TFRPTNE","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KKPR7TFRPTNEYZUY","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KKPR7TFR","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:138f48ead48300798a8729a31c1665257daa5c497f002a4ece0f76095316ba50","target":"graph","created_at":"2026-05-18T01:20:03Z","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 prove asymptotically sharp weighted \"first-and-a-half\" $2D$ Korn and Korn-like inequalities with a singular weight occurring from Cartesian to cylindrical change of variables. We prove some Hardy and the so-called \"harmonic function gradient separation\" inequalities with the same singular weight. Then we apply the obtained $2D$ inequalities to prove similar inequalities for washers with thickness $h$ subject to vanishing Dirichlet boundary conditions on the inner and outer thin faces of the washer. A washer can be regarded in two ways: As the limit case of a conical shell when","authors_text":"Davit Harutyunyan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-09-10T03:11:33Z","title":"Sharp weighted Korn and Korn-like inequalities and an application to washers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02994","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":"sha256:9c6d5d4285daa9d58ea71e4f9cfded72f6cab60bc88a414a8e6c7ae202477a54","target":"record","created_at":"2026-05-18T01:20:03Z","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":"9b2b57ae04b8de43cfb0a3c7bb93e4dd007e05262a608c16da9162b99817eaba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-09-10T03:11:33Z","title_canon_sha256":"5b8e8fe9b19c8bec52fc78406a3beec6ad770126b0363d878b0e517a58dec779"},"schema_version":"1.0","source":{"id":"1509.02994","kind":"arxiv","version":2}},"canonical_sha256":"529f1fccb17cda4c66986238b555909761da8c7fa15d7de4a36b5f288a903edc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"529f1fccb17cda4c66986238b555909761da8c7fa15d7de4a36b5f288a903edc","first_computed_at":"2026-05-18T01:20:03.467951Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:03.467951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AWHltLFTkSICtg1ImxscW+Yu39QFhqR4OBz2womoss7PVZpWUl/YkpSTcnrjGtSlHUH4oHEhow3AyhIKPN1KCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:03.468558Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.02994","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c6d5d4285daa9d58ea71e4f9cfded72f6cab60bc88a414a8e6c7ae202477a54","sha256:138f48ead48300798a8729a31c1665257daa5c497f002a4ece0f76095316ba50"],"state_sha256":"3fcb194d95162e5d38354281a48b590d1e1ec43b44f5f894b1b9c8b6751c73f6"}