{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:HUCPS3J7L7D2DJOLFG2ZT6A3OD","short_pith_number":"pith:HUCPS3J7","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"},"canonical_sha256":"3d04f96d3f5fc7a1a5cb29b599f81b70c4b15d338b7e544a714da64d6a564b07","source":{"kind":"arxiv","id":"2007.14797","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.14797","created_at":"2026-07-05T03:06:11Z"},{"alias_kind":"arxiv_version","alias_value":"2007.14797v3","created_at":"2026-07-05T03:06:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.14797","created_at":"2026-07-05T03:06:11Z"},{"alias_kind":"pith_short_12","alias_value":"HUCPS3J7L7D2","created_at":"2026-07-05T03:06:11Z"},{"alias_kind":"pith_short_16","alias_value":"HUCPS3J7L7D2DJOL","created_at":"2026-07-05T03:06:11Z"},{"alias_kind":"pith_short_8","alias_value":"HUCPS3J7","created_at":"2026-07-05T03:06:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:HUCPS3J7L7D2DJOLFG2ZT6A3OD","target":"record","payload":{"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"},"canonical_sha256":"3d04f96d3f5fc7a1a5cb29b599f81b70c4b15d338b7e544a714da64d6a564b07","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"},"source_kind":"arxiv","source_id":"2007.14797","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:06:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ix6yP0/s63l8iX2ErkLRN5rYV293Wz4Dhpp4mmQ38ZrXgCkdGvFSKBmIHsGCnjSnBr7r1rddnbgH6Lon/SihDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:06:28.819639Z"},"content_sha256":"da6b4e93a8b413cbf2af734b1029b960378400096923a1e6cee0942d0c1f2885","schema_version":"1.0","event_id":"sha256:da6b4e93a8b413cbf2af734b1029b960378400096923a1e6cee0942d0c1f2885"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:HUCPS3J7L7D2DJOLFG2ZT6A3OD","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:06:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UoLSmK5QHSGAlNe+56KaMvDDv36NJV1TAxRlf3OoCwPUkVZrzR7ArPapp+OvVpylTc6lepuZlLDzJkU+bJO8AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:06:28.820024Z"},"content_sha256":"3065bdd336c3600be054ad9dc90b2d9a3df48f16b07c82fd5138b991c4c281ac","schema_version":"1.0","event_id":"sha256:3065bdd336c3600be054ad9dc90b2d9a3df48f16b07c82fd5138b991c4c281ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD/bundle.json","state_url":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-13T20:06:28Z","links":{"resolver":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD","bundle":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD/bundle.json","state":"https://pith.science/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HUCPS3J7L7D2DJOLFG2ZT6A3OD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:HUCPS3J7L7D2DJOLFG2ZT6A3OD","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":"66db9b88cc86391f7a985b23a4944e458269b75ae21390d0fe3fd826938f929a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-07-29T12:43:19Z","title_canon_sha256":"bb329c3be38289a717261c1d8fc92c6dae04efcd0c9ea5da972e014160b7c396"},"schema_version":"1.0","source":{"id":"2007.14797","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.14797","created_at":"2026-07-05T03:06:11Z"},{"alias_kind":"arxiv_version","alias_value":"2007.14797v3","created_at":"2026-07-05T03:06:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.14797","created_at":"2026-07-05T03:06:11Z"},{"alias_kind":"pith_short_12","alias_value":"HUCPS3J7L7D2","created_at":"2026-07-05T03:06:11Z"},{"alias_kind":"pith_short_16","alias_value":"HUCPS3J7L7D2DJOL","created_at":"2026-07-05T03:06:11Z"},{"alias_kind":"pith_short_8","alias_value":"HUCPS3J7","created_at":"2026-07-05T03:06:11Z"}],"graph_snapshots":[{"event_id":"sha256:3065bdd336c3600be054ad9dc90b2d9a3df48f16b07c82fd5138b991c4c281ac","target":"graph","created_at":"2026-07-05T03:06:11Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2007.14797/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Bent {\\O}rsted, Gestur Olafsson, Karl-Hermann Neeb","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-07-29T12:43:19Z","title":"Standard subspaces of Hilbert spaces of holomorphic functions on tube domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.14797","kind":"arxiv","version":3},"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:da6b4e93a8b413cbf2af734b1029b960378400096923a1e6cee0942d0c1f2885","target":"record","created_at":"2026-07-05T03:06:11Z","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":"66db9b88cc86391f7a985b23a4944e458269b75ae21390d0fe3fd826938f929a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2020-07-29T12:43:19Z","title_canon_sha256":"bb329c3be38289a717261c1d8fc92c6dae04efcd0c9ea5da972e014160b7c396"},"schema_version":"1.0","source":{"id":"2007.14797","kind":"arxiv","version":3}},"canonical_sha256":"3d04f96d3f5fc7a1a5cb29b599f81b70c4b15d338b7e544a714da64d6a564b07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d04f96d3f5fc7a1a5cb29b599f81b70c4b15d338b7e544a714da64d6a564b07","first_computed_at":"2026-07-05T03:06:11.929095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:06:11.929095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+q6rda8l42e5Rt+sDaNeQC6osJMGEz4Ff/Dmyw/B/P73PtM9X8XYXB3yh6ZTG3yTTCvWCBdVSRkT/SLTthd6Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T03:06:11.929550Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.14797","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da6b4e93a8b413cbf2af734b1029b960378400096923a1e6cee0942d0c1f2885","sha256:3065bdd336c3600be054ad9dc90b2d9a3df48f16b07c82fd5138b991c4c281ac"],"state_sha256":"395f5f5acfaf1247d2284ff44460bb0eb5a1229bcda0471636e9c7a3ce4c4f3f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tpavbsG6gffBuWZyt2gtlgL7i5+VUALVETCNOELTr/U0HFqAs1vCEw/3AqhtpYvZzcuTNC9ekCbVyM51z3fhDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T20:06:28.823140Z","bundle_sha256":"7a1bd23eb17e56165e94debb6181166c3996b7f7aae40fb164b9c7b93338694f"}}