{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ZW73B5CMWU253PG5AXYXPAGRWN","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":"c61c2c1fd047dad1baf533f2b7fed769dbbdee44a7222f18d46b9b20c9ceafcf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-24T17:54:24Z","title_canon_sha256":"497c19d1616681ac691c65043fed5ad90fb63e6cf282c6a8e6001b3663bbd6e8"},"schema_version":"1.0","source":{"id":"2411.15939","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.15939","created_at":"2026-07-05T09:39:43Z"},{"alias_kind":"arxiv_version","alias_value":"2411.15939v1","created_at":"2026-07-05T09:39:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.15939","created_at":"2026-07-05T09:39:43Z"},{"alias_kind":"pith_short_12","alias_value":"ZW73B5CMWU25","created_at":"2026-07-05T09:39:43Z"},{"alias_kind":"pith_short_16","alias_value":"ZW73B5CMWU253PG5","created_at":"2026-07-05T09:39:43Z"},{"alias_kind":"pith_short_8","alias_value":"ZW73B5CM","created_at":"2026-07-05T09:39:43Z"}],"graph_snapshots":[{"event_id":"sha256:70d672f65fd0323e705e9221c2436b3574a95826c6aa0c03f607802668375503","target":"graph","created_at":"2026-07-05T09:39:43Z","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/2411.15939/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish Strichartz estimates, including estimates involving spatial derivatives, for radial wave equations with potentials in similarity variables. This is accomplished for all spatial dimensions $d\\geq 3$ and almost all regularities above energy and below the threshold $\\frac d2$. These estimates provide a unified framework that allows one to derive optimal blowup stability result for a wide range of energy supercritical nonlinear wave equations. To showcase their usefulness, an optimal blowup stability result for the quintic nonlinear wave equation is also obtained.","authors_text":"David Wallauch","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-24T17:54:24Z","title":"On Strichartz estimates and optimal blowup stability of supercritical wave equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.15939","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:dfd63d053643a83275044ce7d71fe7f8c52f064a90d65cdf099b71bb1d56a8ca","target":"record","created_at":"2026-07-05T09:39:43Z","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":"c61c2c1fd047dad1baf533f2b7fed769dbbdee44a7222f18d46b9b20c9ceafcf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-24T17:54:24Z","title_canon_sha256":"497c19d1616681ac691c65043fed5ad90fb63e6cf282c6a8e6001b3663bbd6e8"},"schema_version":"1.0","source":{"id":"2411.15939","kind":"arxiv","version":1}},"canonical_sha256":"cdbfb0f44cb535ddbcdd05f17780d1b34531d9c6f32c9d7e2270aa6850bd2310","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdbfb0f44cb535ddbcdd05f17780d1b34531d9c6f32c9d7e2270aa6850bd2310","first_computed_at":"2026-07-05T09:39:43.983529Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:39:43.983529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GHoaqC0UWBs5J2PhVk89u2y0hzTGO+pnOt31MYc+9XVNLGQZRbAMUxGsz06uJroQkMjQPIlaoH9VBTnGuQs3Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:39:43.984064Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.15939","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfd63d053643a83275044ce7d71fe7f8c52f064a90d65cdf099b71bb1d56a8ca","sha256:70d672f65fd0323e705e9221c2436b3574a95826c6aa0c03f607802668375503"],"state_sha256":"ddb8c3b64e1c75274194696d4e3cd6a71c054d0345ba3a855223cb618e1b35ab"}