{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:HLBECQDC7FDOIEZ7CS5OWCGMNC","short_pith_number":"pith:HLBECQDC","schema_version":"1.0","canonical_sha256":"3ac2414062f946e4133f14baeb08cc68a4e0e0694636e9b3adb77c333df265fd","source":{"kind":"arxiv","id":"1508.06150","version":4},"attestation_state":"computed","paper":{"title":"A note on the topology of irreducible ${\\rm SO}(3)$-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AT","authors_text":"Panagiotis Konstantis","submitted_at":"2015-08-25T13:47:23Z","abstract_excerpt":"We give necessary and sufficient topological conditions for the existence of an irreducible ${\\rm SO}(3)$-structure on a $5$-manifold. Using these conditions we provide some new examples of $5$-manifolds with an irreducible ${\\rm SO}(3)$-structure."},"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":"1508.06150","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-08-25T13:47:23Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"6d76210aa3d93bc320386bdcfe9537885397689a3c329d6d612b10f4be057ec3","abstract_canon_sha256":"ee2b0ded427483337b281bae745fe3e23167578eadc65ae1be6876da6ecef1be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:15.416284Z","signature_b64":"Z+jfcMHR/wHjaoZ+kbATiOY2F7FewVTiaxTUwPuKbbRHOm3zHIUwNbf6KXIH82wvPYhXRR8B+2ND+4g8IbCCCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ac2414062f946e4133f14baeb08cc68a4e0e0694636e9b3adb77c333df265fd","last_reissued_at":"2026-05-18T00:32:15.415651Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:15.415651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on the topology of irreducible ${\\rm SO}(3)$-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AT","authors_text":"Panagiotis Konstantis","submitted_at":"2015-08-25T13:47:23Z","abstract_excerpt":"We give necessary and sufficient topological conditions for the existence of an irreducible ${\\rm SO}(3)$-structure on a $5$-manifold. Using these conditions we provide some new examples of $5$-manifolds with an irreducible ${\\rm SO}(3)$-structure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06150","kind":"arxiv","version":4},"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":"1508.06150","created_at":"2026-05-18T00:32:15.415749+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.06150v4","created_at":"2026-05-18T00:32:15.415749+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06150","created_at":"2026-05-18T00:32:15.415749+00:00"},{"alias_kind":"pith_short_12","alias_value":"HLBECQDC7FDO","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"HLBECQDC7FDOIEZ7","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"HLBECQDC","created_at":"2026-05-18T12:29:25.134429+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/HLBECQDC7FDOIEZ7CS5OWCGMNC","json":"https://pith.science/pith/HLBECQDC7FDOIEZ7CS5OWCGMNC.json","graph_json":"https://pith.science/api/pith-number/HLBECQDC7FDOIEZ7CS5OWCGMNC/graph.json","events_json":"https://pith.science/api/pith-number/HLBECQDC7FDOIEZ7CS5OWCGMNC/events.json","paper":"https://pith.science/paper/HLBECQDC"},"agent_actions":{"view_html":"https://pith.science/pith/HLBECQDC7FDOIEZ7CS5OWCGMNC","download_json":"https://pith.science/pith/HLBECQDC7FDOIEZ7CS5OWCGMNC.json","view_paper":"https://pith.science/paper/HLBECQDC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.06150&json=true","fetch_graph":"https://pith.science/api/pith-number/HLBECQDC7FDOIEZ7CS5OWCGMNC/graph.json","fetch_events":"https://pith.science/api/pith-number/HLBECQDC7FDOIEZ7CS5OWCGMNC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HLBECQDC7FDOIEZ7CS5OWCGMNC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HLBECQDC7FDOIEZ7CS5OWCGMNC/action/storage_attestation","attest_author":"https://pith.science/pith/HLBECQDC7FDOIEZ7CS5OWCGMNC/action/author_attestation","sign_citation":"https://pith.science/pith/HLBECQDC7FDOIEZ7CS5OWCGMNC/action/citation_signature","submit_replication":"https://pith.science/pith/HLBECQDC7FDOIEZ7CS5OWCGMNC/action/replication_record"}},"created_at":"2026-05-18T00:32:15.415749+00:00","updated_at":"2026-05-18T00:32:15.415749+00:00"}