{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SUUWPXBXHAFCOMF7IFHAXIFPYW","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":"28192ab7506fb5b67d5827ba1bb19d01643ac0c9a7db2732f9d95403a54c25af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-05-17T08:34:12Z","title_canon_sha256":"e9cd2cab7c3bbd813d2dc04e1a35fdd6d4ad0692de0ee74851d752bbff727bc1"},"schema_version":"1.0","source":{"id":"1005.2837","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.2837","created_at":"2026-05-18T04:01:26Z"},{"alias_kind":"arxiv_version","alias_value":"1005.2837v2","created_at":"2026-05-18T04:01:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2837","created_at":"2026-05-18T04:01:26Z"},{"alias_kind":"pith_short_12","alias_value":"SUUWPXBXHAFC","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SUUWPXBXHAFCOMF7","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SUUWPXBX","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:551a4ad883b95484894ebf03499a84d126bb8d651916050de02deb52ef91161d","target":"graph","created_at":"2026-05-18T04:01:26Z","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":"The SU(4)-instanton equations are natural BPS equations for instantons on 8-manifolds. We study these equations on nearly Kaehler and Calabi-Yau torsion manifolds of the form M x G/H, with G/H a coset space and M a product of a torus with Euclidean space. By imposing G-invariance the instanton equations reduce to interesting equations on M; for example, equations used by Kapustin and Witten in the geometric Langlands program arise in this way. We carry out reductions in a number of examples, and where possible present simple solutions.","authors_text":"Alexander D. Popov, Derek Harland","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-05-17T08:34:12Z","title":"Yang-Mills fields in flux compactifications on homogeneous manifolds with SU(4)-structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2837","kind":"arxiv","version":2},"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:de4957e351c5d49be87e4aafcfa211589667ddc03bf4e2b7a24ddadeaf506e8c","target":"record","created_at":"2026-05-18T04:01:26Z","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":"28192ab7506fb5b67d5827ba1bb19d01643ac0c9a7db2732f9d95403a54c25af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-05-17T08:34:12Z","title_canon_sha256":"e9cd2cab7c3bbd813d2dc04e1a35fdd6d4ad0692de0ee74851d752bbff727bc1"},"schema_version":"1.0","source":{"id":"1005.2837","kind":"arxiv","version":2}},"canonical_sha256":"952967dc37380a2730bf414e0ba0afc5bab2427dc029625afb5187b31dabaa64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"952967dc37380a2730bf414e0ba0afc5bab2427dc029625afb5187b31dabaa64","first_computed_at":"2026-05-18T04:01:26.553299Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:26.553299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"63eQzFSp6H3jm6qV69pn4rPEB417m6yN911Z9rCQ9lTpI9wxPemkis8DSiYmNzJ6XRN9UWjeAIHtb4w6w7aTAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:26.553954Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.2837","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de4957e351c5d49be87e4aafcfa211589667ddc03bf4e2b7a24ddadeaf506e8c","sha256:551a4ad883b95484894ebf03499a84d126bb8d651916050de02deb52ef91161d"],"state_sha256":"26c3801ab00f4693dab130132cff5c18f069746918602abced9ec50243ce950c"}