{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:DF5GTRLVP5ESGLDJSJIYTGTH5E","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":"cd703c23bf13a743a4c832ee84f64706a470f8a649aa8dcbb4a3fb86960d8d6b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-04-07T12:13:46Z","title_canon_sha256":"d913de6475cb396341a2c15685872b8e0cdb07c81853c8cd60c3f727b2fa5689"},"schema_version":"1.0","source":{"id":"2204.03388","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.03388","created_at":"2026-07-05T04:12:40Z"},{"alias_kind":"arxiv_version","alias_value":"2204.03388v2","created_at":"2026-07-05T04:12:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.03388","created_at":"2026-07-05T04:12:40Z"},{"alias_kind":"pith_short_12","alias_value":"DF5GTRLVP5ES","created_at":"2026-07-05T04:12:40Z"},{"alias_kind":"pith_short_16","alias_value":"DF5GTRLVP5ESGLDJ","created_at":"2026-07-05T04:12:40Z"},{"alias_kind":"pith_short_8","alias_value":"DF5GTRLV","created_at":"2026-07-05T04:12:40Z"}],"graph_snapshots":[{"event_id":"sha256:75c93ec793ba0e53559fa720dd2a5bf4ac1eb94a9e74c61740c7cfb3e61c1df7","target":"graph","created_at":"2026-07-05T04:12:40Z","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/2204.03388/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove Strichartz estimates in similarity coordinates for the radial wave equation with a self similar potential in dimensions $d\\geq 3$. As an application of these, we establish the asymptotic stability of the ODE blowup profile of the energy critical radial nonlinear wave equation for $3\\leq d\\leq 6$.","authors_text":"David Wallauch","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-04-07T12:13:46Z","title":"Strichartz estimates and Blowup stability for energy critical nonlinear wave equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.03388","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":"sha256:926d9fc0dad222f26d09db6a75d0a6e51099836bddf7bdd610e1b645338f1c23","target":"record","created_at":"2026-07-05T04:12:40Z","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":"cd703c23bf13a743a4c832ee84f64706a470f8a649aa8dcbb4a3fb86960d8d6b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-04-07T12:13:46Z","title_canon_sha256":"d913de6475cb396341a2c15685872b8e0cdb07c81853c8cd60c3f727b2fa5689"},"schema_version":"1.0","source":{"id":"2204.03388","kind":"arxiv","version":2}},"canonical_sha256":"197a69c5757f49232c699251899a67e91ceb158696ccf954631164263820ba21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"197a69c5757f49232c699251899a67e91ceb158696ccf954631164263820ba21","first_computed_at":"2026-07-05T04:12:40.486024Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:12:40.486024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p0WU0lgVz2ZyEw+Q+6H8ayf2mY35cytwtzSit0lv3uN8NjkeXyD0cvXEdidBsPbHGiYllWKObu3aIXhy9vozDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:12:40.486429Z","signed_message":"canonical_sha256_bytes"},"source_id":"2204.03388","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:926d9fc0dad222f26d09db6a75d0a6e51099836bddf7bdd610e1b645338f1c23","sha256:75c93ec793ba0e53559fa720dd2a5bf4ac1eb94a9e74c61740c7cfb3e61c1df7"],"state_sha256":"6ac3e4b56266f313176e6048c4f44585cc58bd889f90cb0cd61b56ee1061b60f"}