{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:IWJ7XVL56NPLQA44ODUTJPI2RL","short_pith_number":"pith:IWJ7XVL5","schema_version":"1.0","canonical_sha256":"4593fbd57df35eb8039c70e934bd1a8ad767b6850bc123296760e8f3494d1eab","source":{"kind":"arxiv","id":"1905.12620","version":1},"attestation_state":"computed","paper":{"title":"The Geometry of SO(3), SO(5), and SO(6) models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Mboyo Esole, Patrick Jefferson","submitted_at":"2019-05-29T17:59:56Z","abstract_excerpt":"SO(3), SO(5), and SO(6)-models are singular elliptic fibrations with Mordell--Weil torsion Z/2Z and singular fibers whose dual fibers correspond to affine Dynkin diagrams of type A1, C2, and A3 respectively, where we emphasize the distinction between SO(n) and its universal cover Spin(n). While the SO(3)-model has been studied before, the SO(5) and SO(6)-models are studied here for the first time. By computing crepant resolutions of their Weierstrass models, we study their fiber structures and topological invariants. In the special case that the SO(n)-model is an elliptically fibered Calabi-Ya"},"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":"1905.12620","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-29T17:59:56Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"6580a0d8bf18e8ba97c3b728c8a0819cda08ec69d8db8d40bf024174cacff1b4","abstract_canon_sha256":"af676fade7d6ad3fbfeb13ac5e47a4336e0c1a826c9390b8dd4314bb2cc766ca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:43.807619Z","signature_b64":"+pjGXzF/xr0bqIUTrxnqPr+7ygFb69bWr+bFXZYpAhwLtEXENVcSItaPnBwNsspRLHxm1RMH9n/wx/py1lyBAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4593fbd57df35eb8039c70e934bd1a8ad767b6850bc123296760e8f3494d1eab","last_reissued_at":"2026-05-17T23:44:43.807068Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:43.807068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Geometry of SO(3), SO(5), and SO(6) models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Mboyo Esole, Patrick Jefferson","submitted_at":"2019-05-29T17:59:56Z","abstract_excerpt":"SO(3), SO(5), and SO(6)-models are singular elliptic fibrations with Mordell--Weil torsion Z/2Z and singular fibers whose dual fibers correspond to affine Dynkin diagrams of type A1, C2, and A3 respectively, where we emphasize the distinction between SO(n) and its universal cover Spin(n). While the SO(3)-model has been studied before, the SO(5) and SO(6)-models are studied here for the first time. By computing crepant resolutions of their Weierstrass models, we study their fiber structures and topological invariants. In the special case that the SO(n)-model is an elliptically fibered Calabi-Ya"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12620","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":"1905.12620","created_at":"2026-05-17T23:44:43.807161+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.12620v1","created_at":"2026-05-17T23:44:43.807161+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12620","created_at":"2026-05-17T23:44:43.807161+00:00"},{"alias_kind":"pith_short_12","alias_value":"IWJ7XVL56NPL","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"IWJ7XVL56NPLQA44","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"IWJ7XVL5","created_at":"2026-05-18T12:33:18.533446+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/IWJ7XVL56NPLQA44ODUTJPI2RL","json":"https://pith.science/pith/IWJ7XVL56NPLQA44ODUTJPI2RL.json","graph_json":"https://pith.science/api/pith-number/IWJ7XVL56NPLQA44ODUTJPI2RL/graph.json","events_json":"https://pith.science/api/pith-number/IWJ7XVL56NPLQA44ODUTJPI2RL/events.json","paper":"https://pith.science/paper/IWJ7XVL5"},"agent_actions":{"view_html":"https://pith.science/pith/IWJ7XVL56NPLQA44ODUTJPI2RL","download_json":"https://pith.science/pith/IWJ7XVL56NPLQA44ODUTJPI2RL.json","view_paper":"https://pith.science/paper/IWJ7XVL5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.12620&json=true","fetch_graph":"https://pith.science/api/pith-number/IWJ7XVL56NPLQA44ODUTJPI2RL/graph.json","fetch_events":"https://pith.science/api/pith-number/IWJ7XVL56NPLQA44ODUTJPI2RL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IWJ7XVL56NPLQA44ODUTJPI2RL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IWJ7XVL56NPLQA44ODUTJPI2RL/action/storage_attestation","attest_author":"https://pith.science/pith/IWJ7XVL56NPLQA44ODUTJPI2RL/action/author_attestation","sign_citation":"https://pith.science/pith/IWJ7XVL56NPLQA44ODUTJPI2RL/action/citation_signature","submit_replication":"https://pith.science/pith/IWJ7XVL56NPLQA44ODUTJPI2RL/action/replication_record"}},"created_at":"2026-05-17T23:44:43.807161+00:00","updated_at":"2026-05-17T23:44:43.807161+00:00"}