{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:5KLQC2HWGV5632DOHLEPZMFMD4","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":"771970d0984bd5113e907b57b2e7455f3b8a2afec3604a71d9465f38e319a0e5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2022-03-12T11:19:22Z","title_canon_sha256":"7980aea8b63c0ab04eb071aa13d59ebda773211ef678826088c1a60777d566f7"},"schema_version":"1.0","source":{"id":"2203.06412","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.06412","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"arxiv_version","alias_value":"2203.06412v2","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.06412","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"pith_short_12","alias_value":"5KLQC2HWGV56","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"pith_short_16","alias_value":"5KLQC2HWGV5632DO","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"pith_short_8","alias_value":"5KLQC2HW","created_at":"2026-05-20T01:06:02Z"}],"graph_snapshots":[{"event_id":"sha256:80af9e09749f5a8d3db0862faf108454480ece30c277fe382e416a368ea9c485","target":"graph","created_at":"2026-05-20T01:06:02Z","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/2203.06412/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"New local smoothing estimates in Besov spaces adapted to the half-wave group are proved via $\\ell^2$-decoupling. We apply these estimates to obtain new well-posedness results for the cubic nonlinear wave equation in two dimensions. The results are compared to new well-posedness results in $L^p$-based Sobolev spaces.","authors_text":"Jan Rozendaal, Robert Schippa","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2022-03-12T11:19:22Z","title":"Nonlinear wave equations with slowly decaying initial data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.06412","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":"sha256:14d78d68eaba74d84036bb1c75f247a1cec9b2d37828c895017c1ded093c1510","target":"record","created_at":"2026-05-20T01:06:02Z","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":"771970d0984bd5113e907b57b2e7455f3b8a2afec3604a71d9465f38e319a0e5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2022-03-12T11:19:22Z","title_canon_sha256":"7980aea8b63c0ab04eb071aa13d59ebda773211ef678826088c1a60777d566f7"},"schema_version":"1.0","source":{"id":"2203.06412","kind":"arxiv","version":2}},"canonical_sha256":"ea970168f6357bede86e3ac8fcb0ac1f1e3601d577eb3863acfb94333c05ecec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea970168f6357bede86e3ac8fcb0ac1f1e3601d577eb3863acfb94333c05ecec","first_computed_at":"2026-05-20T01:06:02.661638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T01:06:02.661638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a5/xOrh0Uxy/rykozB3wxB74cbtcMtL3L9g5Y/AUCkc+BkEjYgKFGEbKEaSKIyiQHcVPVRY83kqPcpWQpanvDw==","signature_status":"signed_v1","signed_at":"2026-05-20T01:06:02.662500Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.06412","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14d78d68eaba74d84036bb1c75f247a1cec9b2d37828c895017c1ded093c1510","sha256:80af9e09749f5a8d3db0862faf108454480ece30c277fe382e416a368ea9c485"],"state_sha256":"d8aa40d9bcb21159ef32201045eb327d0afcdee4bfd64465189efb634fd8bfa9"}