{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:DXN4F7L7MZPPCT5XSE7LYOORDJ","short_pith_number":"pith:DXN4F7L7","schema_version":"1.0","canonical_sha256":"1ddbc2fd7f665ef14fb7913ebc39d11a41072d2e972155f8f56508cc14079d36","source":{"kind":"arxiv","id":"1502.00011","version":1},"attestation_state":"computed","paper":{"title":"Some remarks on homogeneous K\\\"ahler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DG","authors_text":"Andrea Loi, Roberto Mossa","submitted_at":"2015-01-30T21:05:01Z","abstract_excerpt":"In this paper we provide a positive answer to a conjecture due to A. J. Di Scala, A. Loi, H. Hishi (see [3, Conjecture 1]) claiming that a simply-connected homogeneous K\\\"ahler manifold M endowed with an integral K\\\"ahler form $\\mu\\omega$, admits a holomorphic isometric immersion in the complex projective space, for a suitable $\\mu>0$. This result has two corollaries which extend to homogeneous K\\\"ahler manifolds the results obtained by the authors in [8] and in [12] for homogeneous bounded domains."},"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":"1502.00011","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-01-30T21:05:01Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"713d4c69940ec674e2fc766d98f102e1453924bd70cfaeee0bbddc75090f91ad","abstract_canon_sha256":"d1028b38d3a968eecec58f96a738b852ee446e95d00e624be6b96bf42d94fe4b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:43.889862Z","signature_b64":"RRQLyWweobzPezuKfy2VseBp85ZcARuez0Hp+RyM8LGL389t00NM2phRwuDZt0UaEg+26jovSKCQZ1qpHIIBDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ddbc2fd7f665ef14fb7913ebc39d11a41072d2e972155f8f56508cc14079d36","last_reissued_at":"2026-05-18T01:11:43.889543Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:43.889543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some remarks on homogeneous K\\\"ahler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DG","authors_text":"Andrea Loi, Roberto Mossa","submitted_at":"2015-01-30T21:05:01Z","abstract_excerpt":"In this paper we provide a positive answer to a conjecture due to A. J. Di Scala, A. Loi, H. Hishi (see [3, Conjecture 1]) claiming that a simply-connected homogeneous K\\\"ahler manifold M endowed with an integral K\\\"ahler form $\\mu\\omega$, admits a holomorphic isometric immersion in the complex projective space, for a suitable $\\mu>0$. This result has two corollaries which extend to homogeneous K\\\"ahler manifolds the results obtained by the authors in [8] and in [12] for homogeneous bounded domains."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00011","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":"1502.00011","created_at":"2026-05-18T01:11:43.889594+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.00011v1","created_at":"2026-05-18T01:11:43.889594+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00011","created_at":"2026-05-18T01:11:43.889594+00:00"},{"alias_kind":"pith_short_12","alias_value":"DXN4F7L7MZPP","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DXN4F7L7MZPPCT5X","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DXN4F7L7","created_at":"2026-05-18T12:29:17.054201+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/DXN4F7L7MZPPCT5XSE7LYOORDJ","json":"https://pith.science/pith/DXN4F7L7MZPPCT5XSE7LYOORDJ.json","graph_json":"https://pith.science/api/pith-number/DXN4F7L7MZPPCT5XSE7LYOORDJ/graph.json","events_json":"https://pith.science/api/pith-number/DXN4F7L7MZPPCT5XSE7LYOORDJ/events.json","paper":"https://pith.science/paper/DXN4F7L7"},"agent_actions":{"view_html":"https://pith.science/pith/DXN4F7L7MZPPCT5XSE7LYOORDJ","download_json":"https://pith.science/pith/DXN4F7L7MZPPCT5XSE7LYOORDJ.json","view_paper":"https://pith.science/paper/DXN4F7L7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.00011&json=true","fetch_graph":"https://pith.science/api/pith-number/DXN4F7L7MZPPCT5XSE7LYOORDJ/graph.json","fetch_events":"https://pith.science/api/pith-number/DXN4F7L7MZPPCT5XSE7LYOORDJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DXN4F7L7MZPPCT5XSE7LYOORDJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DXN4F7L7MZPPCT5XSE7LYOORDJ/action/storage_attestation","attest_author":"https://pith.science/pith/DXN4F7L7MZPPCT5XSE7LYOORDJ/action/author_attestation","sign_citation":"https://pith.science/pith/DXN4F7L7MZPPCT5XSE7LYOORDJ/action/citation_signature","submit_replication":"https://pith.science/pith/DXN4F7L7MZPPCT5XSE7LYOORDJ/action/replication_record"}},"created_at":"2026-05-18T01:11:43.889594+00:00","updated_at":"2026-05-18T01:11:43.889594+00:00"}