{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:HUCPS3J7L7D2DJOLFG2ZT6A3OD","short_pith_number":"pith:HUCPS3J7","schema_version":"1.0","canonical_sha256":"3d04f96d3f5fc7a1a5cb29b599f81b70c4b15d338b7e544a714da64d6a564b07","source":{"kind":"arxiv","id":"2007.14797","version":3},"attestation_state":"computed","paper":{"title":"Standard subspaces of Hilbert spaces of holomorphic functions on tube domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.RT","authors_text":"Bent {\\O}rsted, Gestur Olafsson, Karl-Hermann Neeb","submitted_at":"2020-07-29T12:43:19Z","abstract_excerpt":"In this article we study standard subspaces of Hilbert spaces of vector-valued holomorphic functions on tube domains E + i C^0, where C \\subeq E is a pointed generating cone invariant under e^{R h} for some endomorphism h \\in \\End(E), diagonalizable with the eigenvalues 1,0,-1 (generalizing a Lorentz boost). This data specifies a wedge domain W(E,C,h) \\subeq E and one of our main results exhibits corresponding standard subspaces as being generated using test functions on these domains. We also investigate aspects of reflection positivity for the triple (E,C,e^{\\pi i h}) and the support propert"},"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":"2007.14797","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-07-29T12:43:19Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"bb329c3be38289a717261c1d8fc92c6dae04efcd0c9ea5da972e014160b7c396","abstract_canon_sha256":"66db9b88cc86391f7a985b23a4944e458269b75ae21390d0fe3fd826938f929a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:06:11.929550Z","signature_b64":"+q6rda8l42e5Rt+sDaNeQC6osJMGEz4Ff/Dmyw/B/P73PtM9X8XYXB3yh6ZTG3yTTCvWCBdVSRkT/SLTthd6Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d04f96d3f5fc7a1a5cb29b599f81b70c4b15d338b7e544a714da64d6a564b07","last_reissued_at":"2026-07-05T03:06:11.929095Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:06:11.929095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Standard subspaces of Hilbert spaces of holomorphic functions on tube domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.RT","authors_text":"Bent {\\O}rsted, Gestur Olafsson, Karl-Hermann Neeb","submitted_at":"2020-07-29T12:43:19Z","abstract_excerpt":"In this article we study standard subspaces of Hilbert spaces of vector-valued holomorphic functions on tube domains E + i C^0, where C \\subeq E is a pointed generating cone invariant under e^{R h} for some endomorphism h \\in \\End(E), diagonalizable with the eigenvalues 1,0,-1 (generalizing a Lorentz boost). This data specifies a wedge domain W(E,C,h) \\subeq E and one of our main results exhibits corresponding standard subspaces as being generated using test functions on these domains. We also investigate aspects of reflection positivity for the triple (E,C,e^{\\pi i h}) and the support propert"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.14797","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2007.14797/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2007.14797","created_at":"2026-07-05T03:06:11.929152+00:00"},{"alias_kind":"arxiv_version","alias_value":"2007.14797v3","created_at":"2026-07-05T03:06:11.929152+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.14797","created_at":"2026-07-05T03:06:11.929152+00:00"},{"alias_kind":"pith_short_12","alias_value":"HUCPS3J7L7D2","created_at":"2026-07-05T03:06:11.929152+00:00"},{"alias_kind":"pith_short_16","alias_value":"HUCPS3J7L7D2DJOL","created_at":"2026-07-05T03:06:11.929152+00:00"},{"alias_kind":"pith_short_8","alias_value":"HUCPS3J7","created_at":"2026-07-05T03:06:11.929152+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.20410","citing_title":"A geometric perspective on Algebraic Quantum Field Theory","ref_index":58,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD","json":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD.json","graph_json":"https://pith.science/api/pith-number/HUCPS3J7L7D2DJOLFG2ZT6A3OD/graph.json","events_json":"https://pith.science/api/pith-number/HUCPS3J7L7D2DJOLFG2ZT6A3OD/events.json","paper":"https://pith.science/paper/HUCPS3J7"},"agent_actions":{"view_html":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD","download_json":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD.json","view_paper":"https://pith.science/paper/HUCPS3J7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2007.14797&json=true","fetch_graph":"https://pith.science/api/pith-number/HUCPS3J7L7D2DJOLFG2ZT6A3OD/graph.json","fetch_events":"https://pith.science/api/pith-number/HUCPS3J7L7D2DJOLFG2ZT6A3OD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD/action/storage_attestation","attest_author":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD/action/author_attestation","sign_citation":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD/action/citation_signature","submit_replication":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD/action/replication_record"}},"created_at":"2026-07-05T03:06:11.929152+00:00","updated_at":"2026-07-05T03:06:11.929152+00:00"}