{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MQSRHOUR6QTMWD6CNEJRSZ7MAL","short_pith_number":"pith:MQSRHOUR","schema_version":"1.0","canonical_sha256":"642513ba91f426cb0fc269131967ec02c25ab6ef46fe5333b0a858f371f45e18","source":{"kind":"arxiv","id":"1411.4951","version":3},"attestation_state":"computed","paper":{"title":"Determinantal point processes associated with Hilbert spaces of holomorphic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP"],"primary_cat":"math.PR","authors_text":"Alexander I. Bufetov, Yanqi Qiu","submitted_at":"2014-11-18T18:22:59Z","abstract_excerpt":"We study determinantal point processes on $\\mathbb{C}$ induced by the reproducing kernels of generalized Fock spaces as well as those on the unit disc $\\mathbb{D}$ induced by the reproducing kernels of generalized Bergman spaces. In the first case, we show that all reduced Palm measures $\\textit{of the same order}$ are equivalent. The Radon-Nikodym derivatives are computed explicitly using regularized multiplicative functionals. We also show that these determinantal point processes are rigid in the sense of Ghosh and Peres, hence reduced Palm measures $\\textit{of different orders}$ are singula"},"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":"1411.4951","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-18T18:22:59Z","cross_cats_sorted":["math-ph","math.DS","math.MP"],"title_canon_sha256":"8e8b7bd6d8851df7ab9c165c8ce615eff4b663fdc0d70e9e9ed5aaf4abdba6c6","abstract_canon_sha256":"e0cbaa4ed8b00aa944a610d4537c14bea2f48c41d87515185ad3694f9052b561"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:12.620049Z","signature_b64":"TdTpkziNea8h+RM3uaVIW9GF08veasIrSrvpHZTo7iCkZ7JFdEmC4SzzfbYMo9+8Uc8RF3BtQyQVPwVdzcrMDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"642513ba91f426cb0fc269131967ec02c25ab6ef46fe5333b0a858f371f45e18","last_reissued_at":"2026-05-18T00:56:12.619362Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:12.619362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Determinantal point processes associated with Hilbert spaces of holomorphic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP"],"primary_cat":"math.PR","authors_text":"Alexander I. Bufetov, Yanqi Qiu","submitted_at":"2014-11-18T18:22:59Z","abstract_excerpt":"We study determinantal point processes on $\\mathbb{C}$ induced by the reproducing kernels of generalized Fock spaces as well as those on the unit disc $\\mathbb{D}$ induced by the reproducing kernels of generalized Bergman spaces. In the first case, we show that all reduced Palm measures $\\textit{of the same order}$ are equivalent. The Radon-Nikodym derivatives are computed explicitly using regularized multiplicative functionals. We also show that these determinantal point processes are rigid in the sense of Ghosh and Peres, hence reduced Palm measures $\\textit{of different orders}$ are singula"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4951","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":""},"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":"1411.4951","created_at":"2026-05-18T00:56:12.619457+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.4951v3","created_at":"2026-05-18T00:56:12.619457+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4951","created_at":"2026-05-18T00:56:12.619457+00:00"},{"alias_kind":"pith_short_12","alias_value":"MQSRHOUR6QTM","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MQSRHOUR6QTMWD6C","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MQSRHOUR","created_at":"2026-05-18T12:28:38.356838+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/MQSRHOUR6QTMWD6CNEJRSZ7MAL","json":"https://pith.science/pith/MQSRHOUR6QTMWD6CNEJRSZ7MAL.json","graph_json":"https://pith.science/api/pith-number/MQSRHOUR6QTMWD6CNEJRSZ7MAL/graph.json","events_json":"https://pith.science/api/pith-number/MQSRHOUR6QTMWD6CNEJRSZ7MAL/events.json","paper":"https://pith.science/paper/MQSRHOUR"},"agent_actions":{"view_html":"https://pith.science/pith/MQSRHOUR6QTMWD6CNEJRSZ7MAL","download_json":"https://pith.science/pith/MQSRHOUR6QTMWD6CNEJRSZ7MAL.json","view_paper":"https://pith.science/paper/MQSRHOUR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.4951&json=true","fetch_graph":"https://pith.science/api/pith-number/MQSRHOUR6QTMWD6CNEJRSZ7MAL/graph.json","fetch_events":"https://pith.science/api/pith-number/MQSRHOUR6QTMWD6CNEJRSZ7MAL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MQSRHOUR6QTMWD6CNEJRSZ7MAL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MQSRHOUR6QTMWD6CNEJRSZ7MAL/action/storage_attestation","attest_author":"https://pith.science/pith/MQSRHOUR6QTMWD6CNEJRSZ7MAL/action/author_attestation","sign_citation":"https://pith.science/pith/MQSRHOUR6QTMWD6CNEJRSZ7MAL/action/citation_signature","submit_replication":"https://pith.science/pith/MQSRHOUR6QTMWD6CNEJRSZ7MAL/action/replication_record"}},"created_at":"2026-05-18T00:56:12.619457+00:00","updated_at":"2026-05-18T00:56:12.619457+00:00"}