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We prove sufficient conditions for the right and left Fredholmness on $L^p(\\mathbb{R}_+)$ of singular integral operators of the form $A_+P_\\gamma^++A_-P_\\gamma^-$, where $P_\\gamma^\\pm=(I\\pm S_\\gamma)/2$, "},"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":"1705.10247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-05-29T15:19:31Z","cross_cats_sorted":[],"title_canon_sha256":"f08b0a661a2396f42063d0da690f727103cb94023265f9a196714039651db143","abstract_canon_sha256":"2b2efdb6b546253e5d9644c890311c88fad22c3db22a276fe803036079a13963"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:31.607373Z","signature_b64":"rDc6LC/7PVf5MDclKOuzkpB8kvpC7btVt4WZrWLo4CvdB6SVgbrjx2jDviikWhqRN4Tpf7IkIJC/inzCt5p7Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed87cbce43eb44894238c584abfc62d3374598a0c7a52fe85fa9cb99bd39a9ce","last_reissued_at":"2026-05-18T00:43:31.606788Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:31.606788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semi-Fredholmness of weighted singular integral operators with shifts and slowly oscillating data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Alexei Yu. 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We prove sufficient conditions for the right and left Fredholmness on $L^p(\\mathbb{R}_+)$ of singular integral operators of the form $A_+P_\\gamma^++A_-P_\\gamma^-$, where $P_\\gamma^\\pm=(I\\pm S_\\gamma)/2$, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10247","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":"1705.10247","created_at":"2026-05-18T00:43:31.606869+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.10247v1","created_at":"2026-05-18T00:43:31.606869+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10247","created_at":"2026-05-18T00:43:31.606869+00:00"},{"alias_kind":"pith_short_12","alias_value":"5WD4XTSD5NCI","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"5WD4XTSD5NCISQRY","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"5WD4XTSD","created_at":"2026-05-18T12:31:03.183658+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/5WD4XTSD5NCISQRYYWCKX7DC2M","json":"https://pith.science/pith/5WD4XTSD5NCISQRYYWCKX7DC2M.json","graph_json":"https://pith.science/api/pith-number/5WD4XTSD5NCISQRYYWCKX7DC2M/graph.json","events_json":"https://pith.science/api/pith-number/5WD4XTSD5NCISQRYYWCKX7DC2M/events.json","paper":"https://pith.science/paper/5WD4XTSD"},"agent_actions":{"view_html":"https://pith.science/pith/5WD4XTSD5NCISQRYYWCKX7DC2M","download_json":"https://pith.science/pith/5WD4XTSD5NCISQRYYWCKX7DC2M.json","view_paper":"https://pith.science/paper/5WD4XTSD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.10247&json=true","fetch_graph":"https://pith.science/api/pith-number/5WD4XTSD5NCISQRYYWCKX7DC2M/graph.json","fetch_events":"https://pith.science/api/pith-number/5WD4XTSD5NCISQRYYWCKX7DC2M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5WD4XTSD5NCISQRYYWCKX7DC2M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5WD4XTSD5NCISQRYYWCKX7DC2M/action/storage_attestation","attest_author":"https://pith.science/pith/5WD4XTSD5NCISQRYYWCKX7DC2M/action/author_attestation","sign_citation":"https://pith.science/pith/5WD4XTSD5NCISQRYYWCKX7DC2M/action/citation_signature","submit_replication":"https://pith.science/pith/5WD4XTSD5NCISQRYYWCKX7DC2M/action/replication_record"}},"created_at":"2026-05-18T00:43:31.606869+00:00","updated_at":"2026-05-18T00:43:31.606869+00:00"}