{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:W4OYB35WZMGJWO2BQ6ZJ7MYPLA","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":"7353ccf39ab04ef1e546886098b7910453bcad54d85accb25d98c3b29ed2bd3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-15T02:35:45Z","title_canon_sha256":"b50dd9588584c9a3053750060d6b298fc24c22214591a3a072e45b768ef102a9"},"schema_version":"1.0","source":{"id":"1703.04892","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04892","created_at":"2026-05-18T00:45:29Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04892v2","created_at":"2026-05-18T00:45:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04892","created_at":"2026-05-18T00:45:29Z"},{"alias_kind":"pith_short_12","alias_value":"W4OYB35WZMGJ","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"W4OYB35WZMGJWO2B","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"W4OYB35W","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:9dc87ebf94ddf75c0e8a5e265b3e4da64d4f9edfc39d7fa3c9d67fe678729af2","target":"graph","created_at":"2026-05-18T00:45:29Z","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 give an improvement of the Strichartz estimate for Airy equation in the non-diagonal case. As an application, we prove the small data scattering and existence of a special non-scattering solutions, which are minimal in suitable sense, to the mass-subcritical generalized Korteweg-de Vries (gKdV) equation. Especially, we remove several technical restrictions on our previous work about the existence of a special non-scattering solution.","authors_text":"Jun-ichi Segata, Satoshi Masaki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-15T02:35:45Z","title":"Refinement of Strichartz estimate for Airy equation in non-diagonal case and its application"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04892","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:cf65c5d4e6f9005add5d55d17a2544f42fc34e76e1a43688fc2e74d44af71510","target":"record","created_at":"2026-05-18T00:45:29Z","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":"7353ccf39ab04ef1e546886098b7910453bcad54d85accb25d98c3b29ed2bd3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-15T02:35:45Z","title_canon_sha256":"b50dd9588584c9a3053750060d6b298fc24c22214591a3a072e45b768ef102a9"},"schema_version":"1.0","source":{"id":"1703.04892","kind":"arxiv","version":2}},"canonical_sha256":"b71d80efb6cb0c9b3b4187b29fb30f583db33777bfac6ef54f369837c9e8ecc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b71d80efb6cb0c9b3b4187b29fb30f583db33777bfac6ef54f369837c9e8ecc9","first_computed_at":"2026-05-18T00:45:29.962955Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:29.962955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k5rFJLQ+FEhJ3Qp6+5bw+6H6Yc1lMuTVadUTbB6B5peMslAfXmdnPQAgYPxgQoHOemIw4hJHDpMCYr6Tel0SBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:29.963428Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.04892","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf65c5d4e6f9005add5d55d17a2544f42fc34e76e1a43688fc2e74d44af71510","sha256:9dc87ebf94ddf75c0e8a5e265b3e4da64d4f9edfc39d7fa3c9d67fe678729af2"],"state_sha256":"2050192666073ec85e278fcd3a92bab908692c1e38ac418c3959f705fdf612ed"}