{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:AGBGMXL6QOW5H5M6335ZLSUUM3","short_pith_number":"pith:AGBGMXL6","schema_version":"1.0","canonical_sha256":"0182665d7e83add3f59edefb95ca9466efe3f9b1802bb9232b0e58ad12e344c9","source":{"kind":"arxiv","id":"hep-th/0310267","version":2},"attestation_state":"computed","paper":{"title":"Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexander D. Popov, Olaf Lechtenfeld, Richard J. Szabo","submitted_at":"2003-10-29T16:36:31Z","abstract_excerpt":"We construct explicit BPS and non-BPS solutions of the U(2k) Yang-Mills equations on the noncommutative space R^{2n}_\\theta x S^2 with finite energy and topological charge. By twisting with a Dirac multi-monopole bundle over S^2, we reduce the Donaldson-Uhlenbeck-Yau equations on R^{2n}_\\theta x S^2 to vortex-type equations for a pair of U(k) gauge fields and a bi-fundamental scalar field on R^{2n}_\\theta. In the SO(3)-invariant case the vortices on R^{2n}_\\theta determine multi-instantons on R^{2n}_\\theta x S^2. We show that these solutions give natural physical realizations of Bott periodici"},"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":"hep-th/0310267","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-10-29T16:36:31Z","cross_cats_sorted":[],"title_canon_sha256":"cc42db2d1c62accb0a71e9b129e1cb5ef7ee34710ec87c3790e7a2f006511d66","abstract_canon_sha256":"088c52887ffe040e7e39658fb857fd4929735ec7e98f6129585ff0d5358d0fe7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:48.487171Z","signature_b64":"JdLIIHCq75jDGT84iPg99nUwgr1KguL2sLgdlPZmEqiuTsEZP6YzoNSX8ATVBT0w9e9DlD1Wo/8tPqLq6LWzCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0182665d7e83add3f59edefb95ca9466efe3f9b1802bb9232b0e58ad12e344c9","last_reissued_at":"2026-05-18T04:15:48.486675Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:48.486675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexander D. Popov, Olaf Lechtenfeld, Richard J. Szabo","submitted_at":"2003-10-29T16:36:31Z","abstract_excerpt":"We construct explicit BPS and non-BPS solutions of the U(2k) Yang-Mills equations on the noncommutative space R^{2n}_\\theta x S^2 with finite energy and topological charge. By twisting with a Dirac multi-monopole bundle over S^2, we reduce the Donaldson-Uhlenbeck-Yau equations on R^{2n}_\\theta x S^2 to vortex-type equations for a pair of U(k) gauge fields and a bi-fundamental scalar field on R^{2n}_\\theta. In the SO(3)-invariant case the vortices on R^{2n}_\\theta determine multi-instantons on R^{2n}_\\theta x S^2. We show that these solutions give natural physical realizations of Bott periodici"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0310267","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":"hep-th/0310267","created_at":"2026-05-18T04:15:48.486740+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0310267v2","created_at":"2026-05-18T04:15:48.486740+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0310267","created_at":"2026-05-18T04:15:48.486740+00:00"},{"alias_kind":"pith_short_12","alias_value":"AGBGMXL6QOW5","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"AGBGMXL6QOW5H5M6","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"AGBGMXL6","created_at":"2026-05-18T12:25:51.375804+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/AGBGMXL6QOW5H5M6335ZLSUUM3","json":"https://pith.science/pith/AGBGMXL6QOW5H5M6335ZLSUUM3.json","graph_json":"https://pith.science/api/pith-number/AGBGMXL6QOW5H5M6335ZLSUUM3/graph.json","events_json":"https://pith.science/api/pith-number/AGBGMXL6QOW5H5M6335ZLSUUM3/events.json","paper":"https://pith.science/paper/AGBGMXL6"},"agent_actions":{"view_html":"https://pith.science/pith/AGBGMXL6QOW5H5M6335ZLSUUM3","download_json":"https://pith.science/pith/AGBGMXL6QOW5H5M6335ZLSUUM3.json","view_paper":"https://pith.science/paper/AGBGMXL6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0310267&json=true","fetch_graph":"https://pith.science/api/pith-number/AGBGMXL6QOW5H5M6335ZLSUUM3/graph.json","fetch_events":"https://pith.science/api/pith-number/AGBGMXL6QOW5H5M6335ZLSUUM3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AGBGMXL6QOW5H5M6335ZLSUUM3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AGBGMXL6QOW5H5M6335ZLSUUM3/action/storage_attestation","attest_author":"https://pith.science/pith/AGBGMXL6QOW5H5M6335ZLSUUM3/action/author_attestation","sign_citation":"https://pith.science/pith/AGBGMXL6QOW5H5M6335ZLSUUM3/action/citation_signature","submit_replication":"https://pith.science/pith/AGBGMXL6QOW5H5M6335ZLSUUM3/action/replication_record"}},"created_at":"2026-05-18T04:15:48.486740+00:00","updated_at":"2026-05-18T04:15:48.486740+00:00"}