{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:RW52SGVJ3LCYHHERBE4OUVNJJY","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":"fa7344cd836e45980b84fe633e045abdd15b2f47fd0de6b0e086d482f739188d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-12-12T00:18:32Z","title_canon_sha256":"9eac9f4366f0dfb6f03e08da575ca0ec09d1c966507a6185bba2744374e2722c"},"schema_version":"1.0","source":{"id":"2412.08834","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.08834","created_at":"2026-07-05T09:48:02Z"},{"alias_kind":"arxiv_version","alias_value":"2412.08834v1","created_at":"2026-07-05T09:48:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.08834","created_at":"2026-07-05T09:48:02Z"},{"alias_kind":"pith_short_12","alias_value":"RW52SGVJ3LCY","created_at":"2026-07-05T09:48:02Z"},{"alias_kind":"pith_short_16","alias_value":"RW52SGVJ3LCYHHER","created_at":"2026-07-05T09:48:02Z"},{"alias_kind":"pith_short_8","alias_value":"RW52SGVJ","created_at":"2026-07-05T09:48:02Z"}],"graph_snapshots":[{"event_id":"sha256:3819cd68f1d40633fa572e7ba51337c2bd033327f44a3966602792accc6f442f","target":"graph","created_at":"2026-07-05T09:48:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.08834/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, blowup phenomenon for the semilinear wave equation with time-dependent speed of propagation and scattering damping is considered under the smallness of initial data. Our result contains small data blowup for sub-Strauss exponent for the simplest semilinear wave equation and also the one for semilinear generalized Tricomi equation. Key ingredient is so-called test function method (developed in Ikeda--Sobajima--Wakasa [10]) with a certain conservative quantity via a special solution with the Liouville--Green (or WKB) approximation.","authors_text":"Kimitoshi Tsutaya, Motohiro Sobajima, Yuta Wakasugi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-12-12T00:18:32Z","title":"Appearance of Strauss-type exponent in semilinear wave equations with time-dependent speed of propagation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.08834","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:cd060051f3ca5c70e9d5fbba51b08510c1edf34bc017d9697f0d1874bc78cb1a","target":"record","created_at":"2026-07-05T09:48:02Z","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":"fa7344cd836e45980b84fe633e045abdd15b2f47fd0de6b0e086d482f739188d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-12-12T00:18:32Z","title_canon_sha256":"9eac9f4366f0dfb6f03e08da575ca0ec09d1c966507a6185bba2744374e2722c"},"schema_version":"1.0","source":{"id":"2412.08834","kind":"arxiv","version":1}},"canonical_sha256":"8dbba91aa9dac5839c910938ea55a94e08a60d58aee3789246e8be866032201e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8dbba91aa9dac5839c910938ea55a94e08a60d58aee3789246e8be866032201e","first_computed_at":"2026-07-05T09:48:02.429700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:48:02.429700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zF0KGbLadOk/wOaNBMPC0KEWWkW4pWB8pQSAkSPrjkKxKzX8jDuMcXYEiin9nSA6jmMUM6ZDBM9Y2h6kiCoaCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:48:02.430202Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.08834","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd060051f3ca5c70e9d5fbba51b08510c1edf34bc017d9697f0d1874bc78cb1a","sha256:3819cd68f1d40633fa572e7ba51337c2bd033327f44a3966602792accc6f442f"],"state_sha256":"bb045000307d110bbac77fb86a70e2284b0a3c73beb222f68b05df1999705b30"}