{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:QBUP5HLR2SLIUW2UHVL4TGZ7Q4","short_pith_number":"pith:QBUP5HLR","schema_version":"1.0","canonical_sha256":"8068fe9d71d4968a5b543d57c99b3f8708249965e9e4c6ff96246def62b24c6e","source":{"kind":"arxiv","id":"1511.08537","version":2},"attestation_state":"computed","paper":{"title":"On the Gevrey strong hyperbolicity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Tatsuo Nishitani","submitted_at":"2015-11-27T00:55:22Z","abstract_excerpt":"In this paper we are concerned with a homogeneous differential operator $p$ of order $m$ of which characteristic set of order $m$ is assumed to be a smooth manifold. We define the Gevrey strong hyperbolicity index as the largest number $s$ such that the Cauchy problem for $p+Q$ is well-posed in the Gevrey class of order $s$ for any differential operator $Q$ of order less than $m$. We study the case of the largest index and we discuss in which way the Gevrey strong hyperbolicity index relates with behaviors of bicharacteristics of $p$ near the characteristic manifold."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1511.08537","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-27T00:55:22Z","cross_cats_sorted":[],"title_canon_sha256":"a7a74dd46c92a4e0cb15519fbd107618c4e77c825f1cc9803bebe5f1dd30aed3","abstract_canon_sha256":"8639ee2764a8463ad8f2134f8c442efa82be9867d58f0d7c05c197d83d6c81c9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:06.827003Z","signature_b64":"d+x5quQvCTuqqkNMp0HBTevCTJUt9jGJEc9ycOc3HWp9Yj1cNx8WvJWLfqKz1Uc0oMQY+NaxpfdUZRXYDKfqAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8068fe9d71d4968a5b543d57c99b3f8708249965e9e4c6ff96246def62b24c6e","last_reissued_at":"2026-05-18T01:16:06.826433Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:06.826433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Gevrey strong hyperbolicity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Tatsuo Nishitani","submitted_at":"2015-11-27T00:55:22Z","abstract_excerpt":"In this paper we are concerned with a homogeneous differential operator $p$ of order $m$ of which characteristic set of order $m$ is assumed to be a smooth manifold. We define the Gevrey strong hyperbolicity index as the largest number $s$ such that the Cauchy problem for $p+Q$ is well-posed in the Gevrey class of order $s$ for any differential operator $Q$ of order less than $m$. We study the case of the largest index and we discuss in which way the Gevrey strong hyperbolicity index relates with behaviors of bicharacteristics of $p$ near the characteristic manifold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.08537","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1511.08537","created_at":"2026-05-18T01:16:06.826518+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.08537v2","created_at":"2026-05-18T01:16:06.826518+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.08537","created_at":"2026-05-18T01:16:06.826518+00:00"},{"alias_kind":"pith_short_12","alias_value":"QBUP5HLR2SLI","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"QBUP5HLR2SLIUW2U","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"QBUP5HLR","created_at":"2026-05-18T12:29:37.295048+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QBUP5HLR2SLIUW2UHVL4TGZ7Q4","json":"https://pith.science/pith/QBUP5HLR2SLIUW2UHVL4TGZ7Q4.json","graph_json":"https://pith.science/api/pith-number/QBUP5HLR2SLIUW2UHVL4TGZ7Q4/graph.json","events_json":"https://pith.science/api/pith-number/QBUP5HLR2SLIUW2UHVL4TGZ7Q4/events.json","paper":"https://pith.science/paper/QBUP5HLR"},"agent_actions":{"view_html":"https://pith.science/pith/QBUP5HLR2SLIUW2UHVL4TGZ7Q4","download_json":"https://pith.science/pith/QBUP5HLR2SLIUW2UHVL4TGZ7Q4.json","view_paper":"https://pith.science/paper/QBUP5HLR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.08537&json=true","fetch_graph":"https://pith.science/api/pith-number/QBUP5HLR2SLIUW2UHVL4TGZ7Q4/graph.json","fetch_events":"https://pith.science/api/pith-number/QBUP5HLR2SLIUW2UHVL4TGZ7Q4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QBUP5HLR2SLIUW2UHVL4TGZ7Q4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QBUP5HLR2SLIUW2UHVL4TGZ7Q4/action/storage_attestation","attest_author":"https://pith.science/pith/QBUP5HLR2SLIUW2UHVL4TGZ7Q4/action/author_attestation","sign_citation":"https://pith.science/pith/QBUP5HLR2SLIUW2UHVL4TGZ7Q4/action/citation_signature","submit_replication":"https://pith.science/pith/QBUP5HLR2SLIUW2UHVL4TGZ7Q4/action/replication_record"}},"created_at":"2026-05-18T01:16:06.826518+00:00","updated_at":"2026-05-18T01:16:06.826518+00:00"}