{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:6QR6BOUSEIFFY7GL7PMPNJENJ3","short_pith_number":"pith:6QR6BOUS","schema_version":"1.0","canonical_sha256":"f423e0ba92220a5c7ccbfbd8f6a48d4ec3fad52071bfb664abaedd5f5dd1ef7d","source":{"kind":"arxiv","id":"1804.00260","version":1},"attestation_state":"computed","paper":{"title":"Bivariant K-theory of generalized Weyl algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.KT","authors_text":"Christian Valqui, Julio Guti\\'errez","submitted_at":"2018-04-01T06:06:39Z","abstract_excerpt":"We compute the isomorphism class in $\\mathfrak{KK}^{alg}$ of all noncommutative generalized Weyl algebras $A=\\CC[h](\\sigma, P)$, where $\\sigma(h)=qh+h_0$ is an automorphism of $\\CC[h]$, except when $q\\neq 1$ is a root of unity. In particular, we compute the isomorphism class in $\\mathfrak{KK}^{alg}$ of the quantum Weyl algebra, the primitive factors $B_{\\lambda}$ of $U(\\mathfrak{sl}_2)$ and the quantum weighted projective lines $\\mathcal{O}(\\mathbb{WP}_q(k, l))$."},"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":"1804.00260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2018-04-01T06:06:39Z","cross_cats_sorted":[],"title_canon_sha256":"5441ec4f1004af65794b7bebecfe41a270c4e561de6fdc0bda66bd9444cebcbd","abstract_canon_sha256":"7a9625ec16a987ade0eeed77c314a88f48e553c304616d158189d781e9ab1e21"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:37.886019Z","signature_b64":"blsNrvpI5GK3xREgjBF94ADuSlZwuHkwnrK7Bb7iyZJkVtQzDhqyOJEFSHIarinXcKEwT4TwYj3bt1f+sF12Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f423e0ba92220a5c7ccbfbd8f6a48d4ec3fad52071bfb664abaedd5f5dd1ef7d","last_reissued_at":"2026-05-18T00:19:37.885300Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:37.885300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bivariant K-theory of generalized Weyl algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.KT","authors_text":"Christian Valqui, Julio Guti\\'errez","submitted_at":"2018-04-01T06:06:39Z","abstract_excerpt":"We compute the isomorphism class in $\\mathfrak{KK}^{alg}$ of all noncommutative generalized Weyl algebras $A=\\CC[h](\\sigma, P)$, where $\\sigma(h)=qh+h_0$ is an automorphism of $\\CC[h]$, except when $q\\neq 1$ is a root of unity. In particular, we compute the isomorphism class in $\\mathfrak{KK}^{alg}$ of the quantum Weyl algebra, the primitive factors $B_{\\lambda}$ of $U(\\mathfrak{sl}_2)$ and the quantum weighted projective lines $\\mathcal{O}(\\mathbb{WP}_q(k, l))$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.00260","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":"1804.00260","created_at":"2026-05-18T00:19:37.885422+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.00260v1","created_at":"2026-05-18T00:19:37.885422+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.00260","created_at":"2026-05-18T00:19:37.885422+00:00"},{"alias_kind":"pith_short_12","alias_value":"6QR6BOUSEIFF","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_16","alias_value":"6QR6BOUSEIFFY7GL","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_8","alias_value":"6QR6BOUS","created_at":"2026-05-18T12:32:11.075285+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/6QR6BOUSEIFFY7GL7PMPNJENJ3","json":"https://pith.science/pith/6QR6BOUSEIFFY7GL7PMPNJENJ3.json","graph_json":"https://pith.science/api/pith-number/6QR6BOUSEIFFY7GL7PMPNJENJ3/graph.json","events_json":"https://pith.science/api/pith-number/6QR6BOUSEIFFY7GL7PMPNJENJ3/events.json","paper":"https://pith.science/paper/6QR6BOUS"},"agent_actions":{"view_html":"https://pith.science/pith/6QR6BOUSEIFFY7GL7PMPNJENJ3","download_json":"https://pith.science/pith/6QR6BOUSEIFFY7GL7PMPNJENJ3.json","view_paper":"https://pith.science/paper/6QR6BOUS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.00260&json=true","fetch_graph":"https://pith.science/api/pith-number/6QR6BOUSEIFFY7GL7PMPNJENJ3/graph.json","fetch_events":"https://pith.science/api/pith-number/6QR6BOUSEIFFY7GL7PMPNJENJ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6QR6BOUSEIFFY7GL7PMPNJENJ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6QR6BOUSEIFFY7GL7PMPNJENJ3/action/storage_attestation","attest_author":"https://pith.science/pith/6QR6BOUSEIFFY7GL7PMPNJENJ3/action/author_attestation","sign_citation":"https://pith.science/pith/6QR6BOUSEIFFY7GL7PMPNJENJ3/action/citation_signature","submit_replication":"https://pith.science/pith/6QR6BOUSEIFFY7GL7PMPNJENJ3/action/replication_record"}},"created_at":"2026-05-18T00:19:37.885422+00:00","updated_at":"2026-05-18T00:19:37.885422+00:00"}