{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:PT3SOQKBLSSRTFZBEANP7PUQYN","short_pith_number":"pith:PT3SOQKB","schema_version":"1.0","canonical_sha256":"7cf72741415ca5199721201affbe90c35a11516a164aea6d9d4c5c2246e51915","source":{"kind":"arxiv","id":"1009.3208","version":2},"attestation_state":"computed","paper":{"title":"Double quiver gauge theory and nearly Kahler flux compactifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"hep-th","authors_text":"Alexander D. Popov, Richard J. Szabo","submitted_at":"2010-09-16T15:58:25Z","abstract_excerpt":"We consider G-equivariant dimensional reduction of Yang-Mills theory with torsion on manifolds of the form MxG/H where M is a smooth manifold, and G/H is a compact six-dimensional homogeneous space provided with a never integrable almost complex structure and a family of SU(3)-structures which includes a nearly Kahler structure. We establish an equivalence between G-equivariant pseudo-holomorphic vector bundles on MxG/H and new quiver bundles on M associated to the double of a quiver Q, determined by the SU(3)-structure, with relations ensuring the absence of oriented cycles in Q. When M=R^2, "},"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":"1009.3208","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-16T15:58:25Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"55e2aca03ed0e0a98c7edb9a5c232a1f1f350107dbfefadd42b0814e2c60c640","abstract_canon_sha256":"a9f89df3e6a60da08b18d2c00993004267ba638e6e7a7f331b61d172ec3c8d8b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:27.394649Z","signature_b64":"mSj32PX2Pf0L2td3QDeUQ7/MU9tjW7+mAZVbwZid4aJDpEad55LfsgATMOaWRbwoPgvsHA+zlNJjCmVhdJwdBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cf72741415ca5199721201affbe90c35a11516a164aea6d9d4c5c2246e51915","last_reissued_at":"2026-05-18T02:05:27.393947Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:27.393947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Double quiver gauge theory and nearly Kahler flux compactifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"hep-th","authors_text":"Alexander D. Popov, Richard J. Szabo","submitted_at":"2010-09-16T15:58:25Z","abstract_excerpt":"We consider G-equivariant dimensional reduction of Yang-Mills theory with torsion on manifolds of the form MxG/H where M is a smooth manifold, and G/H is a compact six-dimensional homogeneous space provided with a never integrable almost complex structure and a family of SU(3)-structures which includes a nearly Kahler structure. We establish an equivalence between G-equivariant pseudo-holomorphic vector bundles on MxG/H and new quiver bundles on M associated to the double of a quiver Q, determined by the SU(3)-structure, with relations ensuring the absence of oriented cycles in Q. When M=R^2, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.3208","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":"1009.3208","created_at":"2026-05-18T02:05:27.394065+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.3208v2","created_at":"2026-05-18T02:05:27.394065+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.3208","created_at":"2026-05-18T02:05:27.394065+00:00"},{"alias_kind":"pith_short_12","alias_value":"PT3SOQKBLSSR","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"PT3SOQKBLSSRTFZB","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"PT3SOQKB","created_at":"2026-05-18T12:26:12.377268+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/PT3SOQKBLSSRTFZBEANP7PUQYN","json":"https://pith.science/pith/PT3SOQKBLSSRTFZBEANP7PUQYN.json","graph_json":"https://pith.science/api/pith-number/PT3SOQKBLSSRTFZBEANP7PUQYN/graph.json","events_json":"https://pith.science/api/pith-number/PT3SOQKBLSSRTFZBEANP7PUQYN/events.json","paper":"https://pith.science/paper/PT3SOQKB"},"agent_actions":{"view_html":"https://pith.science/pith/PT3SOQKBLSSRTFZBEANP7PUQYN","download_json":"https://pith.science/pith/PT3SOQKBLSSRTFZBEANP7PUQYN.json","view_paper":"https://pith.science/paper/PT3SOQKB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.3208&json=true","fetch_graph":"https://pith.science/api/pith-number/PT3SOQKBLSSRTFZBEANP7PUQYN/graph.json","fetch_events":"https://pith.science/api/pith-number/PT3SOQKBLSSRTFZBEANP7PUQYN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PT3SOQKBLSSRTFZBEANP7PUQYN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PT3SOQKBLSSRTFZBEANP7PUQYN/action/storage_attestation","attest_author":"https://pith.science/pith/PT3SOQKBLSSRTFZBEANP7PUQYN/action/author_attestation","sign_citation":"https://pith.science/pith/PT3SOQKBLSSRTFZBEANP7PUQYN/action/citation_signature","submit_replication":"https://pith.science/pith/PT3SOQKBLSSRTFZBEANP7PUQYN/action/replication_record"}},"created_at":"2026-05-18T02:05:27.394065+00:00","updated_at":"2026-05-18T02:05:27.394065+00:00"}