{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:AOVNKL7YCSGSDO4ZYRP3METCWF","short_pith_number":"pith:AOVNKL7Y","schema_version":"1.0","canonical_sha256":"03aad52ff8148d21bb99c45fb61262b1713648aec775b25df02f2b74e010e100","source":{"kind":"arxiv","id":"1603.05679","version":1},"attestation_state":"computed","paper":{"title":"Classification of $(\\widetilde{Sp}(n,\\mathbb{R})\\times\\widetilde{Sp}(1,\\mathbb{R}))$-Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Eli Roblero-M\\'endez, Gestur \\'Olafsson","submitted_at":"2016-03-17T20:37:47Z","abstract_excerpt":"Let $M$ be an analytic complete finite volume pseudo-Riemannian manifold and $\\widetilde{Sp}(n,\\mathbb{R})\\times\\widetilde{Sp}(1,\\mathbb{R})$ a connected semisimple Lie group such that its Lie algebra is $\\mathfrak{sp}(n,\\mathbb{R})\\oplus\\mathfrak{sp}(1,\\mathbb{R})$. We characterize the structure of the manifold $M$ assuming that the Lie group $\\widetilde{Sp}(n,\\mathbb{R})\\times\\widetilde{Sp}(1,\\mathbb{R})$ acts isometrically on $M$ and that its dimension satisfies $3+n(2n+1)<\\dim(M)\\leq(n+1)(2n+3)$."},"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":"1603.05679","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-03-17T20:37:47Z","cross_cats_sorted":[],"title_canon_sha256":"6dcbc895fa8653ff294d6ef3864744846d54694c1fa7bb81ae19e316dcea09e2","abstract_canon_sha256":"c90a03a3d93d6d3f4dd844a33fd41fcf7738a4bbbe282d13da9fa41287deb9f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:53.759546Z","signature_b64":"ifx6URgg0HB/fyzLDGAYrl2k9BquW0II/23i6Hygz8tsSa0u+J3P+8Tp/3q7SiUvjuI2rxtmgzHSeKypDDmUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03aad52ff8148d21bb99c45fb61262b1713648aec775b25df02f2b74e010e100","last_reissued_at":"2026-05-18T01:18:53.759139Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:53.759139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of $(\\widetilde{Sp}(n,\\mathbb{R})\\times\\widetilde{Sp}(1,\\mathbb{R}))$-Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Eli Roblero-M\\'endez, Gestur \\'Olafsson","submitted_at":"2016-03-17T20:37:47Z","abstract_excerpt":"Let $M$ be an analytic complete finite volume pseudo-Riemannian manifold and $\\widetilde{Sp}(n,\\mathbb{R})\\times\\widetilde{Sp}(1,\\mathbb{R})$ a connected semisimple Lie group such that its Lie algebra is $\\mathfrak{sp}(n,\\mathbb{R})\\oplus\\mathfrak{sp}(1,\\mathbb{R})$. We characterize the structure of the manifold $M$ assuming that the Lie group $\\widetilde{Sp}(n,\\mathbb{R})\\times\\widetilde{Sp}(1,\\mathbb{R})$ acts isometrically on $M$ and that its dimension satisfies $3+n(2n+1)<\\dim(M)\\leq(n+1)(2n+3)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05679","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":"1603.05679","created_at":"2026-05-18T01:18:53.759198+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.05679v1","created_at":"2026-05-18T01:18:53.759198+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05679","created_at":"2026-05-18T01:18:53.759198+00:00"},{"alias_kind":"pith_short_12","alias_value":"AOVNKL7YCSGS","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"AOVNKL7YCSGSDO4Z","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"AOVNKL7Y","created_at":"2026-05-18T12:30:07.202191+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/AOVNKL7YCSGSDO4ZYRP3METCWF","json":"https://pith.science/pith/AOVNKL7YCSGSDO4ZYRP3METCWF.json","graph_json":"https://pith.science/api/pith-number/AOVNKL7YCSGSDO4ZYRP3METCWF/graph.json","events_json":"https://pith.science/api/pith-number/AOVNKL7YCSGSDO4ZYRP3METCWF/events.json","paper":"https://pith.science/paper/AOVNKL7Y"},"agent_actions":{"view_html":"https://pith.science/pith/AOVNKL7YCSGSDO4ZYRP3METCWF","download_json":"https://pith.science/pith/AOVNKL7YCSGSDO4ZYRP3METCWF.json","view_paper":"https://pith.science/paper/AOVNKL7Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.05679&json=true","fetch_graph":"https://pith.science/api/pith-number/AOVNKL7YCSGSDO4ZYRP3METCWF/graph.json","fetch_events":"https://pith.science/api/pith-number/AOVNKL7YCSGSDO4ZYRP3METCWF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AOVNKL7YCSGSDO4ZYRP3METCWF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AOVNKL7YCSGSDO4ZYRP3METCWF/action/storage_attestation","attest_author":"https://pith.science/pith/AOVNKL7YCSGSDO4ZYRP3METCWF/action/author_attestation","sign_citation":"https://pith.science/pith/AOVNKL7YCSGSDO4ZYRP3METCWF/action/citation_signature","submit_replication":"https://pith.science/pith/AOVNKL7YCSGSDO4ZYRP3METCWF/action/replication_record"}},"created_at":"2026-05-18T01:18:53.759198+00:00","updated_at":"2026-05-18T01:18:53.759198+00:00"}