{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SYZNMSF7CLY62U2MFFPOFMADGF","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"20bb246f0f7725498ed04c8e64daad8de8673578c03d1669fd603a295baf052e","cross_cats_sorted":["math.AP","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-05-23T13:58:12Z","title_canon_sha256":"a68406a7db8d2c68731dc6f372951e58d373b7ad6dc13a42216c691470df4871"},"schema_version":"1.0","source":{"id":"1205.5171","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5171","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5171v4","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5171","created_at":"2026-05-18T02:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"SYZNMSF7CLY6","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"SYZNMSF7CLY62U2M","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"SYZNMSF7","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:a5293db106802a3a1a250cdef69b0fa172e4f66be6b5b31aba5e4736ffd95e75","target":"graph","created_at":"2026-05-18T02:56:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"For any Hermitian Lie group $G$ of tube type we give a geometric quantization procedure of certain $K_{\\mathbb{C}}$-orbits in $\\mathfrak{p}_{\\mathbb{C}}^*$ to obtain all scalar type highest weight representations. Here $K_{\\mathbb{C}}$ is the complexification of a maximal compact subgroup $K\\subseteq G$ with corresponding Cartan decomposition $\\mathfrak{g}=\\mathfrak{k}+\\mathfrak{p}$ of the Lie algebra of $G$. We explicitly realize every such representation $\\pi$ on a Fock space consisting of square integrable holomorphic functions on its associated variety $Ass(\\pi)\\subseteq\\mathfrak{p}_{\\math","authors_text":"Jan M\\\"ollers","cross_cats":["math.AP","math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-05-23T13:58:12Z","title":"A geometric quantization of the Kostant-Sekiguchi correpondence for scalar type unitary highest weight representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5171","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b0e26e19eaa1e9be3288a2b2024105f961260f3efbca41fe2c8551fca2d712d7","target":"record","created_at":"2026-05-18T02:56:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"20bb246f0f7725498ed04c8e64daad8de8673578c03d1669fd603a295baf052e","cross_cats_sorted":["math.AP","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-05-23T13:58:12Z","title_canon_sha256":"a68406a7db8d2c68731dc6f372951e58d373b7ad6dc13a42216c691470df4871"},"schema_version":"1.0","source":{"id":"1205.5171","kind":"arxiv","version":4}},"canonical_sha256":"9632d648bf12f1ed534c295ee2b0033154273203649c32ee3489044ad11568a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9632d648bf12f1ed534c295ee2b0033154273203649c32ee3489044ad11568a4","first_computed_at":"2026-05-18T02:56:11.818504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:11.818504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4KSUINJa4pq7OqdniFNUv4pCRZX8PPoYQ/CwYMGarOIAFoXJrGpa423NOS23hs6yJiOk/jazdCDBX9qhfhQ6BA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:11.818970Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.5171","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0e26e19eaa1e9be3288a2b2024105f961260f3efbca41fe2c8551fca2d712d7","sha256:a5293db106802a3a1a250cdef69b0fa172e4f66be6b5b31aba5e4736ffd95e75"],"state_sha256":"9cfd6a3e9a6b1aae8d70b57a5735d62695dc938f96aac20416a19f6c5a187caa"}