{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:UBK2XYYX5YBDJXXHTPP3FZJT6P","short_pith_number":"pith:UBK2XYYX","schema_version":"1.0","canonical_sha256":"a055abe317ee0234dee79bdfb2e533f3db3acdf306017cbd2c1f3587299aa9e3","source":{"kind":"arxiv","id":"1009.1880","version":3},"attestation_state":"computed","paper":{"title":"Noncommutative Vortices and Flux-Tubes from Yang-Mills Theories with Spontaneously Generated Fuzzy Extra Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Seckin Kurkcuoglu","submitted_at":"2010-09-09T20:21:52Z","abstract_excerpt":"We consider a U(2) Yang-Mills theory on M x S_F^2 where M is an arbitrary noncommutative manifold and S_F^2 is a fuzzy sphere spontaneously generated from a noncommutative U(N) Yang-Mills theory on M, coupled to a triplet of scalars in the adjoint of U(N). Employing the SU(2)-equivariant gauge field constructed in arXiv:0905.2338, we perform the dimensional reduction of the theory over the fuzzy sphere. The emergent model is a noncommutative U(1) gauge theory coupled adjointly to a set of scalar fields. We study this model on the Groenewald-Moyal plane and find that, in certain limits, it admi"},"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":"1009.1880","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-09T20:21:52Z","cross_cats_sorted":[],"title_canon_sha256":"f3618a4929e2650e1de503e48b256b9dc0da386ea662b08541840c4afbb34701","abstract_canon_sha256":"241be34228b861cdfb55e73653d250362971ba871c911e778bf4e33a7a213093"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:36.430329Z","signature_b64":"Mq4we1OC4WfZK9Av5/oEH9V5ZwhsguMPXLU09gFwcOh4kWmJpnK07MpzxJYRETOzxckBQpZVM1LqY3AlMegJDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a055abe317ee0234dee79bdfb2e533f3db3acdf306017cbd2c1f3587299aa9e3","last_reissued_at":"2026-05-18T04:35:36.429823Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:36.429823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Noncommutative Vortices and Flux-Tubes from Yang-Mills Theories with Spontaneously Generated Fuzzy Extra Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Seckin Kurkcuoglu","submitted_at":"2010-09-09T20:21:52Z","abstract_excerpt":"We consider a U(2) Yang-Mills theory on M x S_F^2 where M is an arbitrary noncommutative manifold and S_F^2 is a fuzzy sphere spontaneously generated from a noncommutative U(N) Yang-Mills theory on M, coupled to a triplet of scalars in the adjoint of U(N). Employing the SU(2)-equivariant gauge field constructed in arXiv:0905.2338, we perform the dimensional reduction of the theory over the fuzzy sphere. The emergent model is a noncommutative U(1) gauge theory coupled adjointly to a set of scalar fields. We study this model on the Groenewald-Moyal plane and find that, in certain limits, it admi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1880","kind":"arxiv","version":3},"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":"1009.1880","created_at":"2026-05-18T04:35:36.429899+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.1880v3","created_at":"2026-05-18T04:35:36.429899+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1880","created_at":"2026-05-18T04:35:36.429899+00:00"},{"alias_kind":"pith_short_12","alias_value":"UBK2XYYX5YBD","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"UBK2XYYX5YBDJXXH","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"UBK2XYYX","created_at":"2026-05-18T12:26:15.391820+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/UBK2XYYX5YBDJXXHTPP3FZJT6P","json":"https://pith.science/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P.json","graph_json":"https://pith.science/api/pith-number/UBK2XYYX5YBDJXXHTPP3FZJT6P/graph.json","events_json":"https://pith.science/api/pith-number/UBK2XYYX5YBDJXXHTPP3FZJT6P/events.json","paper":"https://pith.science/paper/UBK2XYYX"},"agent_actions":{"view_html":"https://pith.science/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P","download_json":"https://pith.science/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P.json","view_paper":"https://pith.science/paper/UBK2XYYX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.1880&json=true","fetch_graph":"https://pith.science/api/pith-number/UBK2XYYX5YBDJXXHTPP3FZJT6P/graph.json","fetch_events":"https://pith.science/api/pith-number/UBK2XYYX5YBDJXXHTPP3FZJT6P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P/action/storage_attestation","attest_author":"https://pith.science/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P/action/author_attestation","sign_citation":"https://pith.science/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P/action/citation_signature","submit_replication":"https://pith.science/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P/action/replication_record"}},"created_at":"2026-05-18T04:35:36.429899+00:00","updated_at":"2026-05-18T04:35:36.429899+00:00"}