{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:RCNRSQAT7H4PXG4EI2KT6T3RN6","short_pith_number":"pith:RCNRSQAT","schema_version":"1.0","canonical_sha256":"889b194013f9f8fb9b8446953f4f716f919ba94d52ccb7e009fd82a6d768f752","source":{"kind":"arxiv","id":"1206.6510","version":1},"attestation_state":"computed","paper":{"title":"Gyrating Schrodinger Geometries and Non-Relativistic Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C. N. Pope, H. Lu","submitted_at":"2012-06-27T20:06:26Z","abstract_excerpt":"We propose homogeneous metrics of Petrov type III that describe gyrating Schrodinger geometries as duals to some non-relativistic field theories, in which the Schrodinger symmetry is broken further so that the phase space has a linear dependence of the momentum in a selected direction. We show that such solutions can arise in four-dimensional Einstein-Weyl supergravity as well as higher-dimensional extended gravities with quadratic curvature terms coupled to a massive vector. In Einstein-Weyl supergravity, the gyrating Schrodinger solutions can be supersymmetric, preserving 1/4 of the supersym"},"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":"1206.6510","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-27T20:06:26Z","cross_cats_sorted":[],"title_canon_sha256":"54605edab7a6ee6cb5afcb66198c7674e04e8acd634a7c9d725342edf578e1d5","abstract_canon_sha256":"8f346600d9f2e0780662e4dcd94817f2b6b39730c90df21d76792ae55ae26414"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:39.661395Z","signature_b64":"9ckzpgPo0aTHBYmTQXqg4v9RA47sObAYFo8j6heahIl/RLwp0wRFWQKe2v1LyxijgRf/6tZN2f8fzitlTq+BBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"889b194013f9f8fb9b8446953f4f716f919ba94d52ccb7e009fd82a6d768f752","last_reissued_at":"2026-05-18T03:22:39.660659Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:39.660659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gyrating Schrodinger Geometries and Non-Relativistic Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C. N. Pope, H. Lu","submitted_at":"2012-06-27T20:06:26Z","abstract_excerpt":"We propose homogeneous metrics of Petrov type III that describe gyrating Schrodinger geometries as duals to some non-relativistic field theories, in which the Schrodinger symmetry is broken further so that the phase space has a linear dependence of the momentum in a selected direction. We show that such solutions can arise in four-dimensional Einstein-Weyl supergravity as well as higher-dimensional extended gravities with quadratic curvature terms coupled to a massive vector. In Einstein-Weyl supergravity, the gyrating Schrodinger solutions can be supersymmetric, preserving 1/4 of the supersym"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6510","kind":"arxiv","version":1},"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":"1206.6510","created_at":"2026-05-18T03:22:39.660774+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.6510v1","created_at":"2026-05-18T03:22:39.660774+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6510","created_at":"2026-05-18T03:22:39.660774+00:00"},{"alias_kind":"pith_short_12","alias_value":"RCNRSQAT7H4P","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"RCNRSQAT7H4PXG4E","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"RCNRSQAT","created_at":"2026-05-18T12:27:20.899486+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/RCNRSQAT7H4PXG4EI2KT6T3RN6","json":"https://pith.science/pith/RCNRSQAT7H4PXG4EI2KT6T3RN6.json","graph_json":"https://pith.science/api/pith-number/RCNRSQAT7H4PXG4EI2KT6T3RN6/graph.json","events_json":"https://pith.science/api/pith-number/RCNRSQAT7H4PXG4EI2KT6T3RN6/events.json","paper":"https://pith.science/paper/RCNRSQAT"},"agent_actions":{"view_html":"https://pith.science/pith/RCNRSQAT7H4PXG4EI2KT6T3RN6","download_json":"https://pith.science/pith/RCNRSQAT7H4PXG4EI2KT6T3RN6.json","view_paper":"https://pith.science/paper/RCNRSQAT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.6510&json=true","fetch_graph":"https://pith.science/api/pith-number/RCNRSQAT7H4PXG4EI2KT6T3RN6/graph.json","fetch_events":"https://pith.science/api/pith-number/RCNRSQAT7H4PXG4EI2KT6T3RN6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RCNRSQAT7H4PXG4EI2KT6T3RN6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RCNRSQAT7H4PXG4EI2KT6T3RN6/action/storage_attestation","attest_author":"https://pith.science/pith/RCNRSQAT7H4PXG4EI2KT6T3RN6/action/author_attestation","sign_citation":"https://pith.science/pith/RCNRSQAT7H4PXG4EI2KT6T3RN6/action/citation_signature","submit_replication":"https://pith.science/pith/RCNRSQAT7H4PXG4EI2KT6T3RN6/action/replication_record"}},"created_at":"2026-05-18T03:22:39.660774+00:00","updated_at":"2026-05-18T03:22:39.660774+00:00"}