{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PIB77MO2MVHOBXOR2DDIALM75Z","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":"923777217e4527eae5a086942da6229206aab453373094e8cbc977b670950f12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-07-02T09:33:18Z","title_canon_sha256":"83b16b83766502609ed9abe8a54b35ad5ef66d94580af56703f667edaad51533"},"schema_version":"1.0","source":{"id":"1307.0641","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.0641","created_at":"2026-05-18T01:10:43Z"},{"alias_kind":"arxiv_version","alias_value":"1307.0641v3","created_at":"2026-05-18T01:10:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.0641","created_at":"2026-05-18T01:10:43Z"},{"alias_kind":"pith_short_12","alias_value":"PIB77MO2MVHO","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PIB77MO2MVHOBXOR","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PIB77MO2","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:039d8949f8294120415c2f1522977d1976817c202a9731fee8e4e93e2380eeda","target":"graph","created_at":"2026-05-18T01:10:43Z","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":"In early 1930s Seifert and Threlfall classified up to conjugacy the finite subgroups of $\\mathrm{SO}(4)$, this gives an algebraic classification of orientable spherical 3-orbifolds. For the most part, spherical 3-orbifolds are Seifert fibered. The underlying topological space and singular set of non-fibered spherical 3-orbifolds were described by Dunbar. In this paper we deal with the fibered case and in particular we give explicit formulae relating the finite subgroups of $\\mathrm{SO}(4)$ with the invariants of the corresponding fibered 3-orbifolds. This allows to deduce directly from the alg","authors_text":"Andrea Seppi, Mattia Mecchia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-07-02T09:33:18Z","title":"Fibered spherical 3-orbifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.0641","kind":"arxiv","version":3},"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":"sha256:741db5ae0796439c7fd22b9b125e14fe1bb545b80db85cb4a43b80a5645ce6ac","target":"record","created_at":"2026-05-18T01:10:43Z","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":"923777217e4527eae5a086942da6229206aab453373094e8cbc977b670950f12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-07-02T09:33:18Z","title_canon_sha256":"83b16b83766502609ed9abe8a54b35ad5ef66d94580af56703f667edaad51533"},"schema_version":"1.0","source":{"id":"1307.0641","kind":"arxiv","version":3}},"canonical_sha256":"7a03ffb1da654ee0ddd1d0c6802d9fee43918ee012f5c790758b4178b7082723","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a03ffb1da654ee0ddd1d0c6802d9fee43918ee012f5c790758b4178b7082723","first_computed_at":"2026-05-18T01:10:43.272209Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:43.272209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AVqLfhwjjVqxqPi8jieFVm2ok25wPpy+r1eUa4zkBNZdqW6WFsiP4vdfEchBTXdH8+MkkSm2u7VT7oD0ZNkNAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:43.272777Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.0641","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:741db5ae0796439c7fd22b9b125e14fe1bb545b80db85cb4a43b80a5645ce6ac","sha256:039d8949f8294120415c2f1522977d1976817c202a9731fee8e4e93e2380eeda"],"state_sha256":"b8b394fd4affd1cb7be5b7cc1ff27194a77f162573cee26d3fee2ee44f027f21"}