{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:HDQCQBAS56OHP6J34XC64IKFXB","short_pith_number":"pith:HDQCQBAS","schema_version":"1.0","canonical_sha256":"38e0280412ef9c77f93be5c5ee2145b8516ba49e12748bb097c35546592c0ad8","source":{"kind":"arxiv","id":"math/0606786","version":3},"attestation_state":"computed","paper":{"title":"The Ricci tensor of SU(3)-manifolds","license":"","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DG","authors_text":"Lucio Bedulli, Luigi Vezzoni","submitted_at":"2006-06-30T08:50:53Z","abstract_excerpt":"Following the approach of Bryant we study the intrinsic torsion of a SU(3)-manifold deriving a number of formulae for the Ricci and the scalar curvature in terms of torsion forms. As a consequence we prove that in some special cases the Einstein condition forces the vanishing of the intrinsic torsion."},"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/0606786","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2006-06-30T08:50:53Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"93ea041d3d7c40a184621a9a86f60566748ae2240ed41199cb490aa6c76bc10c","abstract_canon_sha256":"7f2852fe90e7eef6d52b963a2ccd7835c4727607c4247532310acdc03f7433a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:13.810621Z","signature_b64":"b3/XUVywhCbdak49Uh5snz3hJc8TS+92A7aEiQfA3QP0u9H5mYyaiwRx15DHTGMT7dpQmtYzeDA1ROtRmPBOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38e0280412ef9c77f93be5c5ee2145b8516ba49e12748bb097c35546592c0ad8","last_reissued_at":"2026-05-18T02:51:13.810136Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:13.810136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Ricci tensor of SU(3)-manifolds","license":"","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DG","authors_text":"Lucio Bedulli, Luigi Vezzoni","submitted_at":"2006-06-30T08:50:53Z","abstract_excerpt":"Following the approach of Bryant we study the intrinsic torsion of a SU(3)-manifold deriving a number of formulae for the Ricci and the scalar curvature in terms of torsion forms. As a consequence we prove that in some special cases the Einstein condition forces the vanishing of the intrinsic torsion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0606786","kind":"arxiv","version":3},"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/0606786","created_at":"2026-05-18T02:51:13.810208+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0606786v3","created_at":"2026-05-18T02:51:13.810208+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0606786","created_at":"2026-05-18T02:51:13.810208+00:00"},{"alias_kind":"pith_short_12","alias_value":"HDQCQBAS56OH","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"HDQCQBAS56OHP6J3","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"HDQCQBAS","created_at":"2026-05-18T12:25:53.939244+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/HDQCQBAS56OHP6J34XC64IKFXB","json":"https://pith.science/pith/HDQCQBAS56OHP6J34XC64IKFXB.json","graph_json":"https://pith.science/api/pith-number/HDQCQBAS56OHP6J34XC64IKFXB/graph.json","events_json":"https://pith.science/api/pith-number/HDQCQBAS56OHP6J34XC64IKFXB/events.json","paper":"https://pith.science/paper/HDQCQBAS"},"agent_actions":{"view_html":"https://pith.science/pith/HDQCQBAS56OHP6J34XC64IKFXB","download_json":"https://pith.science/pith/HDQCQBAS56OHP6J34XC64IKFXB.json","view_paper":"https://pith.science/paper/HDQCQBAS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0606786&json=true","fetch_graph":"https://pith.science/api/pith-number/HDQCQBAS56OHP6J34XC64IKFXB/graph.json","fetch_events":"https://pith.science/api/pith-number/HDQCQBAS56OHP6J34XC64IKFXB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HDQCQBAS56OHP6J34XC64IKFXB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HDQCQBAS56OHP6J34XC64IKFXB/action/storage_attestation","attest_author":"https://pith.science/pith/HDQCQBAS56OHP6J34XC64IKFXB/action/author_attestation","sign_citation":"https://pith.science/pith/HDQCQBAS56OHP6J34XC64IKFXB/action/citation_signature","submit_replication":"https://pith.science/pith/HDQCQBAS56OHP6J34XC64IKFXB/action/replication_record"}},"created_at":"2026-05-18T02:51:13.810208+00:00","updated_at":"2026-05-18T02:51:13.810208+00:00"}