{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:BJNFT26TAL7MIMLSCCNL74AD6C","short_pith_number":"pith:BJNFT26T","schema_version":"1.0","canonical_sha256":"0a5a59ebd302fec43172109abff003f090a63cd4a593b4c7eabc239349e7b185","source":{"kind":"arxiv","id":"1008.0687","version":1},"attestation_state":"computed","paper":{"title":"Microlocal aspects of bistatic synthetic aperture radar imaging","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eric Todd Quinto, Venky P. Krishnan","submitted_at":"2010-08-04T03:20:05Z","abstract_excerpt":"In this article, we analyze the microlocal properties of the linearized forward scattering operator $F$ and the reconstruction operator $F^{*}F$ appearing in bistatic synthetic aperture radar imaging. In our model, the radar source and detector travel along a line a fixed distance apart. We show that $F$ is a Fourier integral operator, and we give the mapping properties of the projections from the canonical relation of $F$, showing that the right projection is a blow-down and the left projection is a fold. We then show that $F^{*}F$ is a singular FIO belonging to the class $I^{3,0}$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1008.0687","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-08-04T03:20:05Z","cross_cats_sorted":[],"title_canon_sha256":"8fab7e17943a40bcdfcff759ed07413b0ebf1cec5a6b6885821cf2f5145e0bf4","abstract_canon_sha256":"5c8e473a4df7112c634e32cbc9ca529be94c63557fac7c8572e9f3b53ed6d59b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:35.887759Z","signature_b64":"i8XglE+uLpuxklOC59pPVXDQH477NDWOwnwC0JbAKQwc6riSZtDG5cM+VE3a0zXCG2aDRWHA27W0gmFO0Kn3Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a5a59ebd302fec43172109abff003f090a63cd4a593b4c7eabc239349e7b185","last_reissued_at":"2026-05-18T04:42:35.887206Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:35.887206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Microlocal aspects of bistatic synthetic aperture radar imaging","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eric Todd Quinto, Venky P. Krishnan","submitted_at":"2010-08-04T03:20:05Z","abstract_excerpt":"In this article, we analyze the microlocal properties of the linearized forward scattering operator $F$ and the reconstruction operator $F^{*}F$ appearing in bistatic synthetic aperture radar imaging. In our model, the radar source and detector travel along a line a fixed distance apart. We show that $F$ is a Fourier integral operator, and we give the mapping properties of the projections from the canonical relation of $F$, showing that the right projection is a blow-down and the left projection is a fold. We then show that $F^{*}F$ is a singular FIO belonging to the class $I^{3,0}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0687","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1008.0687","created_at":"2026-05-18T04:42:35.887304+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.0687v1","created_at":"2026-05-18T04:42:35.887304+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0687","created_at":"2026-05-18T04:42:35.887304+00:00"},{"alias_kind":"pith_short_12","alias_value":"BJNFT26TAL7M","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"BJNFT26TAL7MIMLS","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"BJNFT26T","created_at":"2026-05-18T12:26:05.355336+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BJNFT26TAL7MIMLSCCNL74AD6C","json":"https://pith.science/pith/BJNFT26TAL7MIMLSCCNL74AD6C.json","graph_json":"https://pith.science/api/pith-number/BJNFT26TAL7MIMLSCCNL74AD6C/graph.json","events_json":"https://pith.science/api/pith-number/BJNFT26TAL7MIMLSCCNL74AD6C/events.json","paper":"https://pith.science/paper/BJNFT26T"},"agent_actions":{"view_html":"https://pith.science/pith/BJNFT26TAL7MIMLSCCNL74AD6C","download_json":"https://pith.science/pith/BJNFT26TAL7MIMLSCCNL74AD6C.json","view_paper":"https://pith.science/paper/BJNFT26T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.0687&json=true","fetch_graph":"https://pith.science/api/pith-number/BJNFT26TAL7MIMLSCCNL74AD6C/graph.json","fetch_events":"https://pith.science/api/pith-number/BJNFT26TAL7MIMLSCCNL74AD6C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BJNFT26TAL7MIMLSCCNL74AD6C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BJNFT26TAL7MIMLSCCNL74AD6C/action/storage_attestation","attest_author":"https://pith.science/pith/BJNFT26TAL7MIMLSCCNL74AD6C/action/author_attestation","sign_citation":"https://pith.science/pith/BJNFT26TAL7MIMLSCCNL74AD6C/action/citation_signature","submit_replication":"https://pith.science/pith/BJNFT26TAL7MIMLSCCNL74AD6C/action/replication_record"}},"created_at":"2026-05-18T04:42:35.887304+00:00","updated_at":"2026-05-18T04:42:35.887304+00:00"}