{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Z4IB6BSJIP26TEGYFPTWRRZIXN","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":"c043924b77d3eafddf688851ac8ee8961c246631a2cb69e003a5ffbd9079c280","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-28T04:21:29Z","title_canon_sha256":"f371b4c1a70954fd8f938f015c7ff99b13424c704ff785856b0ab5f4d89fc6ad"},"schema_version":"1.0","source":{"id":"1811.11376","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.11376","created_at":"2026-07-05T01:07:48Z"},{"alias_kind":"arxiv_version","alias_value":"1811.11376v4","created_at":"2026-07-05T01:07:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.11376","created_at":"2026-07-05T01:07:48Z"},{"alias_kind":"pith_short_12","alias_value":"Z4IB6BSJIP26","created_at":"2026-07-05T01:07:48Z"},{"alias_kind":"pith_short_16","alias_value":"Z4IB6BSJIP26TEGY","created_at":"2026-07-05T01:07:48Z"},{"alias_kind":"pith_short_8","alias_value":"Z4IB6BSJ","created_at":"2026-07-05T01:07:48Z"}],"graph_snapshots":[{"event_id":"sha256:411b9e0fa43846ed92c5a38547d365897fcc69a9ac70848baef2c9a75ee24314","target":"graph","created_at":"2026-07-05T01:07:48Z","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/1811.11376/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define a scale of Hardy spaces $\\mathcal{H}^{p}_{FIO}(\\mathbb{R}^{n})$, $p\\in[1,\\infty]$, that are invariant under suitable Fourier integral operators of order zero. This builds on work by Smith for $p=1$. We also introduce a notion of off-singularity decay for kernels on the cosphere bundle of $\\mathbb{R}^{n}$, and we combine this with wave packet transforms and tent spaces over the cosphere bundle to develop a full Hardy space theory for oscillatory integral operators. In the process we extend the known results about $L^{p}$-boundedness of Fourier integral operators, from local boundednes","authors_text":"Andrew Hassell, Jan Rozendaal, Pierre Portal","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-28T04:21:29Z","title":"Off-singularity bounds and Hardy spaces for Fourier integral operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.11376","kind":"arxiv","version":4},"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:b3cab6c5cede3d31ea36ae3da87ff04f111aaaa7e7961bf94e75ef6583d4e786","target":"record","created_at":"2026-07-05T01:07:48Z","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":"c043924b77d3eafddf688851ac8ee8961c246631a2cb69e003a5ffbd9079c280","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-28T04:21:29Z","title_canon_sha256":"f371b4c1a70954fd8f938f015c7ff99b13424c704ff785856b0ab5f4d89fc6ad"},"schema_version":"1.0","source":{"id":"1811.11376","kind":"arxiv","version":4}},"canonical_sha256":"cf101f064943f5e990d82be768c728bb76749f1127c57b6d722876b7f470725d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf101f064943f5e990d82be768c728bb76749f1127c57b6d722876b7f470725d","first_computed_at":"2026-07-05T01:07:48.476136Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:07:48.476136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r1vXgpBxrPkVpsuUpvvz+rijfn0kOe6+spkN1cV3ZojYvrbeynMwIiy0UZ/8CEM+yo7OFTXlnA1egF9Ib4t8BA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:07:48.476585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.11376","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3cab6c5cede3d31ea36ae3da87ff04f111aaaa7e7961bf94e75ef6583d4e786","sha256:411b9e0fa43846ed92c5a38547d365897fcc69a9ac70848baef2c9a75ee24314"],"state_sha256":"569e582e3731be28a3aa026262f37422b350f5fe0328afab2de9937f66c15d6d"}