{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:UBK2XYYX5YBDJXXHTPP3FZJT6P","short_pith_number":"pith:UBK2XYYX","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"},"canonical_sha256":"a055abe317ee0234dee79bdfb2e533f3db3acdf306017cbd2c1f3587299aa9e3","source":{"kind":"arxiv","id":"1009.1880","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1880","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1880v3","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1880","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"pith_short_12","alias_value":"UBK2XYYX5YBD","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UBK2XYYX5YBDJXXH","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UBK2XYYX","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:UBK2XYYX5YBDJXXHTPP3FZJT6P","target":"record","payload":{"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"},"canonical_sha256":"a055abe317ee0234dee79bdfb2e533f3db3acdf306017cbd2c1f3587299aa9e3","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"},"source_kind":"arxiv","source_id":"1009.1880","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:35:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1NkvjkNRbZH64hO8sgxLToD0qvtMegfpMJgTLlTUeblZZ6+v9yYRAEvRizcvRUfHOX5yTGcCIEuQvA7fr5lFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:28:44.846422Z"},"content_sha256":"4d89555557d6d0269808971f3c9e0e51f438dd5c30a8930e91264139398cf21c","schema_version":"1.0","event_id":"sha256:4d89555557d6d0269808971f3c9e0e51f438dd5c30a8930e91264139398cf21c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:UBK2XYYX5YBDJXXHTPP3FZJT6P","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:35:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZErK1WiocWKofvDrjyTi7+TL/iKZOGcJ7riN+uMLaOyiI5K3u6sh+nVy/K3tkTXYWmsMqyNEGWw9zb1dCxcLBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:28:44.847119Z"},"content_sha256":"a1e4d63d31e94a8f42067668531777c006c1da4805dc07cb0416cf1accfe98a9","schema_version":"1.0","event_id":"sha256:a1e4d63d31e94a8f42067668531777c006c1da4805dc07cb0416cf1accfe98a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P/bundle.json","state_url":"https://pith.science/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-10T01:28:44Z","links":{"resolver":"https://pith.science/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P","bundle":"https://pith.science/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P/bundle.json","state":"https://pith.science/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UBK2XYYX5YBDJXXHTPP3FZJT6P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:UBK2XYYX5YBDJXXHTPP3FZJT6P","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"241be34228b861cdfb55e73653d250362971ba871c911e778bf4e33a7a213093","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-09T20:21:52Z","title_canon_sha256":"f3618a4929e2650e1de503e48b256b9dc0da386ea662b08541840c4afbb34701"},"schema_version":"1.0","source":{"id":"1009.1880","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1880","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1880v3","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1880","created_at":"2026-05-18T04:35:36Z"},{"alias_kind":"pith_short_12","alias_value":"UBK2XYYX5YBD","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UBK2XYYX5YBDJXXH","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UBK2XYYX","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:a1e4d63d31e94a8f42067668531777c006c1da4805dc07cb0416cf1accfe98a9","target":"graph","created_at":"2026-05-18T04:35:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Seckin Kurkcuoglu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-09T20:21:52Z","title":"Noncommutative Vortices and Flux-Tubes from Yang-Mills Theories with Spontaneously Generated Fuzzy Extra Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1880","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4d89555557d6d0269808971f3c9e0e51f438dd5c30a8930e91264139398cf21c","target":"record","created_at":"2026-05-18T04:35:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"241be34228b861cdfb55e73653d250362971ba871c911e778bf4e33a7a213093","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-09T20:21:52Z","title_canon_sha256":"f3618a4929e2650e1de503e48b256b9dc0da386ea662b08541840c4afbb34701"},"schema_version":"1.0","source":{"id":"1009.1880","kind":"arxiv","version":3}},"canonical_sha256":"a055abe317ee0234dee79bdfb2e533f3db3acdf306017cbd2c1f3587299aa9e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a055abe317ee0234dee79bdfb2e533f3db3acdf306017cbd2c1f3587299aa9e3","first_computed_at":"2026-05-18T04:35:36.429823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:36.429823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mq4we1OC4WfZK9Av5/oEH9V5ZwhsguMPXLU09gFwcOh4kWmJpnK07MpzxJYRETOzxckBQpZVM1LqY3AlMegJDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:36.430329Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.1880","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d89555557d6d0269808971f3c9e0e51f438dd5c30a8930e91264139398cf21c","sha256:a1e4d63d31e94a8f42067668531777c006c1da4805dc07cb0416cf1accfe98a9"],"state_sha256":"8e34537d7c20b54ddc42cd691e82e4a2cf2d65b6f3d67b7fed76a292ceb5fe0b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pvvr3vhKufFA/zMU/5KYP0k1V8qDOK8FbvmoF9RKTww6I4ZbOzmmC+xvDVyEL/Jq7ETnMzNZH6Rov/lcWKBLAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T01:28:44.851244Z","bundle_sha256":"009c7a71cf188ea68c2163c68ba6e10313bd6adf3317a527ad16bcc7cd225302"}}