{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CAWV2ZLVOFOIC3EWZFO2KZEXSK","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":"d308d1e42127e8dbdcb0936d6e1c43423e8909e1f9417b5ca7975d02740166b8","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-17T18:00:00Z","title_canon_sha256":"00fcda6293f2c54c9a679a37996e132dd6de1e84c9f991258de7c257263a9678"},"schema_version":"1.0","source":{"id":"1910.08078","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.08078","created_at":"2026-07-05T00:36:40Z"},{"alias_kind":"arxiv_version","alias_value":"1910.08078v1","created_at":"2026-07-05T00:36:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.08078","created_at":"2026-07-05T00:36:40Z"},{"alias_kind":"pith_short_12","alias_value":"CAWV2ZLVOFOI","created_at":"2026-07-05T00:36:40Z"},{"alias_kind":"pith_short_16","alias_value":"CAWV2ZLVOFOIC3EW","created_at":"2026-07-05T00:36:40Z"},{"alias_kind":"pith_short_8","alias_value":"CAWV2ZLV","created_at":"2026-07-05T00:36:40Z"}],"graph_snapshots":[{"event_id":"sha256:372b4fd279088b6e4aea3e806338cef65f8b80c8e4356778725829957547a968","target":"graph","created_at":"2026-07-05T00:36:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1910.08078/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We continue our study of a general class of $\\mathcal{N}=2$ supersymmetric $AdS_3\\times Y_7$ and $AdS_2\\times Y_9$ solutions of type IIB and $D=11$ supergravity, respectively. The geometry of the internal spaces is part of a general family of \"GK geometries\", $Y_{2n+1}$, $n\\ge 3$, and here we study examples in which $Y_{2n+1}$ fibres over a K\\\"ahler base manifold $B_{2k}$, with toric fibres. We show that the flux quantization conditions, and an action function that determines the supersymmetric $R$-symmetry Killing vector of a geometry, may all be written in terms of the \"master volume\" of the","authors_text":"Dario Martelli, James Sparks, Jerome P. Gauntlett","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-17T18:00:00Z","title":"Fibred GK geometry and supersymmetric $AdS$ solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.08078","kind":"arxiv","version":1},"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:cdc933a7f6f117c1e44cb5986147102bfd0db3a835d1f2187db0cba4fdbbb998","target":"record","created_at":"2026-07-05T00:36:40Z","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":"d308d1e42127e8dbdcb0936d6e1c43423e8909e1f9417b5ca7975d02740166b8","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-17T18:00:00Z","title_canon_sha256":"00fcda6293f2c54c9a679a37996e132dd6de1e84c9f991258de7c257263a9678"},"schema_version":"1.0","source":{"id":"1910.08078","kind":"arxiv","version":1}},"canonical_sha256":"102d5d6575715c816c96c95da5649792a991904c518a22cb5846c0d392ad3ee8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"102d5d6575715c816c96c95da5649792a991904c518a22cb5846c0d392ad3ee8","first_computed_at":"2026-07-05T00:36:40.199655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:36:40.199655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3tAXPI0mBW8ttUPzfo23neIhD5hs/zc7CQnH771hiHvEHW36bb21ZQrKPL8/NbjYZc1zV1iIThyyP+MLRyjJCg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:36:40.200035Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.08078","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cdc933a7f6f117c1e44cb5986147102bfd0db3a835d1f2187db0cba4fdbbb998","sha256:372b4fd279088b6e4aea3e806338cef65f8b80c8e4356778725829957547a968"],"state_sha256":"d96ced737ec77ed5fc89f347167eb5875a293bd3b25bb71047527467e8bc2106"}