{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:LRM2H7KJO4SCKXQTRDTWBZPULJ","short_pith_number":"pith:LRM2H7KJ","schema_version":"1.0","canonical_sha256":"5c59a3fd497724255e1388e760e5f45a5a7354c5fe1b0956761cb92b740cec66","source":{"kind":"arxiv","id":"1401.2582","version":2},"attestation_state":"computed","paper":{"title":"Some classes of Wiener--Hopf plus Hankel operators and the Coburn-Simonenko Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Bernd Silbermann, Victor D. Didenko","submitted_at":"2014-01-12T01:00:36Z","abstract_excerpt":"Wiener-Hopf plus Hankel operators $W(a)+H(b):L^p(\\mathbb{R}^+)\\to L^p(\\mathbb{R}^+)$ with generating functions $a$ and $b$ from a subalgebra of $L^\\infty(\\mathbb{R})$ containing almost periodic functions and Fourier images of $L^1(\\mathbb{R})$-functions are studied. For $a$ and $b$ satisfying the so-called matching condition\n  \\begin{equation*} a(t) a(-t)=b(t) b(-t), \\quad t\\in \\mathbb{R}, \\end{equation*} we single out some classes of operators $W(a)+H(b)$ which are subject to Coburn-Simonenko theorem."},"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":"1401.2582","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-01-12T01:00:36Z","cross_cats_sorted":[],"title_canon_sha256":"2bd4bcfb25ea5a77a5e9dddd28d6da8bc84e9d1b547a37925cb7b60aa5f6c522","abstract_canon_sha256":"1e6fc40a860ee8438236b186a787765d33946ac502b359d56720ef543cfa6bcb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:18.512378Z","signature_b64":"+MTpZ3X3ZvmULCKy3opE+n93FQOsobgYvA8GKbvuDLp0xLITEB6yAvNq3tKsvYD9vio8rKBITwm/9KWqaI6sAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c59a3fd497724255e1388e760e5f45a5a7354c5fe1b0956761cb92b740cec66","last_reissued_at":"2026-05-18T02:40:18.511862Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:18.511862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some classes of Wiener--Hopf plus Hankel operators and the Coburn-Simonenko Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Bernd Silbermann, Victor D. Didenko","submitted_at":"2014-01-12T01:00:36Z","abstract_excerpt":"Wiener-Hopf plus Hankel operators $W(a)+H(b):L^p(\\mathbb{R}^+)\\to L^p(\\mathbb{R}^+)$ with generating functions $a$ and $b$ from a subalgebra of $L^\\infty(\\mathbb{R})$ containing almost periodic functions and Fourier images of $L^1(\\mathbb{R})$-functions are studied. For $a$ and $b$ satisfying the so-called matching condition\n  \\begin{equation*} a(t) a(-t)=b(t) b(-t), \\quad t\\in \\mathbb{R}, \\end{equation*} we single out some classes of operators $W(a)+H(b)$ which are subject to Coburn-Simonenko theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2582","kind":"arxiv","version":2},"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":"1401.2582","created_at":"2026-05-18T02:40:18.511938+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.2582v2","created_at":"2026-05-18T02:40:18.511938+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2582","created_at":"2026-05-18T02:40:18.511938+00:00"},{"alias_kind":"pith_short_12","alias_value":"LRM2H7KJO4SC","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"LRM2H7KJO4SCKXQT","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"LRM2H7KJ","created_at":"2026-05-18T12:28:38.356838+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/LRM2H7KJO4SCKXQTRDTWBZPULJ","json":"https://pith.science/pith/LRM2H7KJO4SCKXQTRDTWBZPULJ.json","graph_json":"https://pith.science/api/pith-number/LRM2H7KJO4SCKXQTRDTWBZPULJ/graph.json","events_json":"https://pith.science/api/pith-number/LRM2H7KJO4SCKXQTRDTWBZPULJ/events.json","paper":"https://pith.science/paper/LRM2H7KJ"},"agent_actions":{"view_html":"https://pith.science/pith/LRM2H7KJO4SCKXQTRDTWBZPULJ","download_json":"https://pith.science/pith/LRM2H7KJO4SCKXQTRDTWBZPULJ.json","view_paper":"https://pith.science/paper/LRM2H7KJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.2582&json=true","fetch_graph":"https://pith.science/api/pith-number/LRM2H7KJO4SCKXQTRDTWBZPULJ/graph.json","fetch_events":"https://pith.science/api/pith-number/LRM2H7KJO4SCKXQTRDTWBZPULJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LRM2H7KJO4SCKXQTRDTWBZPULJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LRM2H7KJO4SCKXQTRDTWBZPULJ/action/storage_attestation","attest_author":"https://pith.science/pith/LRM2H7KJO4SCKXQTRDTWBZPULJ/action/author_attestation","sign_citation":"https://pith.science/pith/LRM2H7KJO4SCKXQTRDTWBZPULJ/action/citation_signature","submit_replication":"https://pith.science/pith/LRM2H7KJO4SCKXQTRDTWBZPULJ/action/replication_record"}},"created_at":"2026-05-18T02:40:18.511938+00:00","updated_at":"2026-05-18T02:40:18.511938+00:00"}