{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:55UKXRO4PTGMFPWDKMQDNZJU36","short_pith_number":"pith:55UKXRO4","schema_version":"1.0","canonical_sha256":"ef68abc5dc7cccc2bec3532036e534df8029b01a3f998b96f3a9e0304b390021","source":{"kind":"arxiv","id":"1711.09333","version":2},"attestation_state":"computed","paper":{"title":"Pseudoconcavity of flag domains: The method of supporting cycles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"A. Huckleberry, Q. Latif, T. Hayama","submitted_at":"2017-11-26T04:19:20Z","abstract_excerpt":"A flag domain of a real from $G_0$ of a complex semismiple Lie group $G$ is an open $G_0$-orbit $D$ in a (compact) $G$-flag manifold. In the usual way one reduces to the case where $G_0$ is simple. It is known that if $D$ possesses non-constant holomorphic functions, then it is the product of a compact flag manifold and a Hermitian symmetric bounded domain. This pseudoconvex case is rare in the geography of flag domains. Here it is shown that otherwise, i.e., when $\\mathcal{O}(D)\\cong\\mathbb{C}$, the flag domain $D$ is pseudoconcave. In a rather general setting the degree of the pseudoconcavit"},"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":"1711.09333","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-11-26T04:19:20Z","cross_cats_sorted":[],"title_canon_sha256":"234aec23027bddf2ea902700009673e4ce751d773a58bd6316ea92e41dea17d5","abstract_canon_sha256":"5a4bc205e3eefadca3436a578ed3543b04de5fd542b5c01c5dd18de6055afc7b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:22.277793Z","signature_b64":"Rh5Gotk1BJEvy4fW9edWVE0cbCC2ojYRqmNUVdTiX5hbsum1P61gbiB7Agqr/oKg8ULO18LmUgZIDedhNYtzBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef68abc5dc7cccc2bec3532036e534df8029b01a3f998b96f3a9e0304b390021","last_reissued_at":"2026-05-18T00:10:22.277132Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:22.277132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pseudoconcavity of flag domains: The method of supporting cycles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"A. Huckleberry, Q. Latif, T. Hayama","submitted_at":"2017-11-26T04:19:20Z","abstract_excerpt":"A flag domain of a real from $G_0$ of a complex semismiple Lie group $G$ is an open $G_0$-orbit $D$ in a (compact) $G$-flag manifold. In the usual way one reduces to the case where $G_0$ is simple. It is known that if $D$ possesses non-constant holomorphic functions, then it is the product of a compact flag manifold and a Hermitian symmetric bounded domain. This pseudoconvex case is rare in the geography of flag domains. Here it is shown that otherwise, i.e., when $\\mathcal{O}(D)\\cong\\mathbb{C}$, the flag domain $D$ is pseudoconcave. In a rather general setting the degree of the pseudoconcavit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.09333","kind":"arxiv","version":2},"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":"1711.09333","created_at":"2026-05-18T00:10:22.277234+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.09333v2","created_at":"2026-05-18T00:10:22.277234+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.09333","created_at":"2026-05-18T00:10:22.277234+00:00"},{"alias_kind":"pith_short_12","alias_value":"55UKXRO4PTGM","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"55UKXRO4PTGMFPWD","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"55UKXRO4","created_at":"2026-05-18T12:31:00.734936+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/55UKXRO4PTGMFPWDKMQDNZJU36","json":"https://pith.science/pith/55UKXRO4PTGMFPWDKMQDNZJU36.json","graph_json":"https://pith.science/api/pith-number/55UKXRO4PTGMFPWDKMQDNZJU36/graph.json","events_json":"https://pith.science/api/pith-number/55UKXRO4PTGMFPWDKMQDNZJU36/events.json","paper":"https://pith.science/paper/55UKXRO4"},"agent_actions":{"view_html":"https://pith.science/pith/55UKXRO4PTGMFPWDKMQDNZJU36","download_json":"https://pith.science/pith/55UKXRO4PTGMFPWDKMQDNZJU36.json","view_paper":"https://pith.science/paper/55UKXRO4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.09333&json=true","fetch_graph":"https://pith.science/api/pith-number/55UKXRO4PTGMFPWDKMQDNZJU36/graph.json","fetch_events":"https://pith.science/api/pith-number/55UKXRO4PTGMFPWDKMQDNZJU36/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/55UKXRO4PTGMFPWDKMQDNZJU36/action/timestamp_anchor","attest_storage":"https://pith.science/pith/55UKXRO4PTGMFPWDKMQDNZJU36/action/storage_attestation","attest_author":"https://pith.science/pith/55UKXRO4PTGMFPWDKMQDNZJU36/action/author_attestation","sign_citation":"https://pith.science/pith/55UKXRO4PTGMFPWDKMQDNZJU36/action/citation_signature","submit_replication":"https://pith.science/pith/55UKXRO4PTGMFPWDKMQDNZJU36/action/replication_record"}},"created_at":"2026-05-18T00:10:22.277234+00:00","updated_at":"2026-05-18T00:10:22.277234+00:00"}