{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:N7Y4BVOGEDDHEFDNKYYCGB74UO","short_pith_number":"pith:N7Y4BVOG","schema_version":"1.0","canonical_sha256":"6ff1c0d5c620c672146d56302307fca3aeb02bfacb6dc9450dbc85fadb4dca76","source":{"kind":"arxiv","id":"math/0611658","version":5},"attestation_state":"computed","paper":{"title":"Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Dimiter Vassilev, Ivan Minchev, Stefan Ivanov","submitted_at":"2006-11-22T17:19:00Z","abstract_excerpt":"A partial solution of the quaternionic contact Yamabe problem on the quaternionic sphere is given. It is shown that the torsion of the Biquard connection vanishes exactly when the trace-free part of the horizontal Ricci tensor of the Biquard connection is zero and this occurs precisely on 3-Sasakian manifolods. All conformal deformations sending the standard flat torsion-free quaternionic contact structure on the quaternionic Heisenberg group to a quaternionic contact structure with vanishing torsion of the Biquard connection are explicitly described. A '3-Hamiltonian form' of infinitesimal co"},"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":"math/0611658","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.DG","submitted_at":"2006-11-22T17:19:00Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"612e2ea5f548ee3614fc80967d87d166708095b553680b59a2a79a27f9d1d1a3","abstract_canon_sha256":"1578b84ac1c083706d5dc1a2cec40ec9d0e4e76b992c6947feb747c79635de65"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:55.979420Z","signature_b64":"mrn2c7W8ul0h6P2hRO4aOQ3RwLVHd/dU2sKTInHRQQRPLzPmihgbBlRSo0Col+w0H48CwlxvrXz1+RvZPnchAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ff1c0d5c620c672146d56302307fca3aeb02bfacb6dc9450dbc85fadb4dca76","last_reissued_at":"2026-05-18T01:19:55.978763Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:55.978763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Dimiter Vassilev, Ivan Minchev, Stefan Ivanov","submitted_at":"2006-11-22T17:19:00Z","abstract_excerpt":"A partial solution of the quaternionic contact Yamabe problem on the quaternionic sphere is given. It is shown that the torsion of the Biquard connection vanishes exactly when the trace-free part of the horizontal Ricci tensor of the Biquard connection is zero and this occurs precisely on 3-Sasakian manifolods. All conformal deformations sending the standard flat torsion-free quaternionic contact structure on the quaternionic Heisenberg group to a quaternionic contact structure with vanishing torsion of the Biquard connection are explicitly described. A '3-Hamiltonian form' of infinitesimal co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611658","kind":"arxiv","version":5},"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":"math/0611658","created_at":"2026-05-18T01:19:55.978862+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0611658v5","created_at":"2026-05-18T01:19:55.978862+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0611658","created_at":"2026-05-18T01:19:55.978862+00:00"},{"alias_kind":"pith_short_12","alias_value":"N7Y4BVOGEDDH","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"N7Y4BVOGEDDHEFDN","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"N7Y4BVOG","created_at":"2026-05-18T12:25:54.717736+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/N7Y4BVOGEDDHEFDNKYYCGB74UO","json":"https://pith.science/pith/N7Y4BVOGEDDHEFDNKYYCGB74UO.json","graph_json":"https://pith.science/api/pith-number/N7Y4BVOGEDDHEFDNKYYCGB74UO/graph.json","events_json":"https://pith.science/api/pith-number/N7Y4BVOGEDDHEFDNKYYCGB74UO/events.json","paper":"https://pith.science/paper/N7Y4BVOG"},"agent_actions":{"view_html":"https://pith.science/pith/N7Y4BVOGEDDHEFDNKYYCGB74UO","download_json":"https://pith.science/pith/N7Y4BVOGEDDHEFDNKYYCGB74UO.json","view_paper":"https://pith.science/paper/N7Y4BVOG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0611658&json=true","fetch_graph":"https://pith.science/api/pith-number/N7Y4BVOGEDDHEFDNKYYCGB74UO/graph.json","fetch_events":"https://pith.science/api/pith-number/N7Y4BVOGEDDHEFDNKYYCGB74UO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N7Y4BVOGEDDHEFDNKYYCGB74UO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N7Y4BVOGEDDHEFDNKYYCGB74UO/action/storage_attestation","attest_author":"https://pith.science/pith/N7Y4BVOGEDDHEFDNKYYCGB74UO/action/author_attestation","sign_citation":"https://pith.science/pith/N7Y4BVOGEDDHEFDNKYYCGB74UO/action/citation_signature","submit_replication":"https://pith.science/pith/N7Y4BVOGEDDHEFDNKYYCGB74UO/action/replication_record"}},"created_at":"2026-05-18T01:19:55.978862+00:00","updated_at":"2026-05-18T01:19:55.978862+00:00"}