{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:KAJQ6SZGIAEPRTED777ZPHBHUG","short_pith_number":"pith:KAJQ6SZG","schema_version":"1.0","canonical_sha256":"50130f4b264008f8cc83ffff979c27a187f60d74ac46fe9abddba4691f103d63","source":{"kind":"arxiv","id":"1312.6730","version":1},"attestation_state":"computed","paper":{"title":"$K$-Theory of Boutet de Monvel algebras with classical SG-symbols on the half space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Pedro T. P. Lopes, Severino T. Melo","submitted_at":"2013-12-24T00:54:46Z","abstract_excerpt":"We compute the $K$-groups of the $C^{*}$-algebra of bounded operators generated by the Boutet de Monvel operators with classical SG-symbols of order (0,0) and type 0 on $\\mathbb{R}_{+}^{n}$, as defined by Schrohe, Kapanadze and Schulze. In order to adapt the techniques used in Melo, Nest, Schick and Schrohe's work on the K-theory of Boutet de Monvel's algebra on compact manifolds, we regard the symbols as functions defined on the radial compactifications of $\\mathbb{R}_{+}^{n}\\times\\mathbb{R}^{n}$ and $\\mathbb{R}^{n-1}\\times\\mathbb{R}^{n-1}$. This allows us to give useful descriptions of the k"},"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":"1312.6730","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-12-24T00:54:46Z","cross_cats_sorted":[],"title_canon_sha256":"fcbd9eed5b972d0366f71cc8caaafff89266f605f2049490abe5c9deaf2a5beb","abstract_canon_sha256":"c9cb1f85e0e82bfe4a18ff03070d5761ac669ada372470d6ca6d447490df1673"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:56.226179Z","signature_b64":"us7e5GnC82CsLpBXGNxEjZdKaz6rKKZDtp6qg4kQ/sj3rt3rPrFrbTgbp6MwvdDvYaCWRoe1Uo21q6t6uu1hDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50130f4b264008f8cc83ffff979c27a187f60d74ac46fe9abddba4691f103d63","last_reissued_at":"2026-05-18T03:03:56.225504Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:56.225504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$K$-Theory of Boutet de Monvel algebras with classical SG-symbols on the half space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Pedro T. P. Lopes, Severino T. Melo","submitted_at":"2013-12-24T00:54:46Z","abstract_excerpt":"We compute the $K$-groups of the $C^{*}$-algebra of bounded operators generated by the Boutet de Monvel operators with classical SG-symbols of order (0,0) and type 0 on $\\mathbb{R}_{+}^{n}$, as defined by Schrohe, Kapanadze and Schulze. In order to adapt the techniques used in Melo, Nest, Schick and Schrohe's work on the K-theory of Boutet de Monvel's algebra on compact manifolds, we regard the symbols as functions defined on the radial compactifications of $\\mathbb{R}_{+}^{n}\\times\\mathbb{R}^{n}$ and $\\mathbb{R}^{n-1}\\times\\mathbb{R}^{n-1}$. This allows us to give useful descriptions of the k"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6730","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":"1312.6730","created_at":"2026-05-18T03:03:56.225610+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.6730v1","created_at":"2026-05-18T03:03:56.225610+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6730","created_at":"2026-05-18T03:03:56.225610+00:00"},{"alias_kind":"pith_short_12","alias_value":"KAJQ6SZGIAEP","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"KAJQ6SZGIAEPRTED","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"KAJQ6SZG","created_at":"2026-05-18T12:27:49.015174+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/KAJQ6SZGIAEPRTED777ZPHBHUG","json":"https://pith.science/pith/KAJQ6SZGIAEPRTED777ZPHBHUG.json","graph_json":"https://pith.science/api/pith-number/KAJQ6SZGIAEPRTED777ZPHBHUG/graph.json","events_json":"https://pith.science/api/pith-number/KAJQ6SZGIAEPRTED777ZPHBHUG/events.json","paper":"https://pith.science/paper/KAJQ6SZG"},"agent_actions":{"view_html":"https://pith.science/pith/KAJQ6SZGIAEPRTED777ZPHBHUG","download_json":"https://pith.science/pith/KAJQ6SZGIAEPRTED777ZPHBHUG.json","view_paper":"https://pith.science/paper/KAJQ6SZG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.6730&json=true","fetch_graph":"https://pith.science/api/pith-number/KAJQ6SZGIAEPRTED777ZPHBHUG/graph.json","fetch_events":"https://pith.science/api/pith-number/KAJQ6SZGIAEPRTED777ZPHBHUG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KAJQ6SZGIAEPRTED777ZPHBHUG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KAJQ6SZGIAEPRTED777ZPHBHUG/action/storage_attestation","attest_author":"https://pith.science/pith/KAJQ6SZGIAEPRTED777ZPHBHUG/action/author_attestation","sign_citation":"https://pith.science/pith/KAJQ6SZGIAEPRTED777ZPHBHUG/action/citation_signature","submit_replication":"https://pith.science/pith/KAJQ6SZGIAEPRTED777ZPHBHUG/action/replication_record"}},"created_at":"2026-05-18T03:03:56.225610+00:00","updated_at":"2026-05-18T03:03:56.225610+00:00"}