{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OGLTT54KTAVCSWYKSUOAYE2GEW","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":"e3680a5393c17d80969d83a5595d10bf9a0e67694463796da075e3656fc2c216","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-06-16T06:09:53Z","title_canon_sha256":"59712066e2ebfb7bd1d663c43a6c6b2166a090370f74883f7068f8f7c9b7484b"},"schema_version":"1.0","source":{"id":"1406.3913","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3913","created_at":"2026-05-18T02:19:36Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3913v2","created_at":"2026-05-18T02:19:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3913","created_at":"2026-05-18T02:19:36Z"},{"alias_kind":"pith_short_12","alias_value":"OGLTT54KTAVC","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"OGLTT54KTAVCSWYK","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"OGLTT54K","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:be2d307cade62d0014946dfff5425fb25c174500fac350be89ff91404aa33b03","target":"graph","created_at":"2026-05-18T02:19:36Z","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":"We prove a dichotomy between absolute continuity and singularity of the Ginibre point process $\\mathsf{G}$ and its reduced Palm measures $\\{\\mathsf{G}_{\\mathbf{x}}, \\mathbf{x} \\in \\mathbb{C}^{\\ell}, \\ell = 0,1,2\\dots\\}$, namely, reduced Palm measures $\\G_{\\mathbf{x}}$ and $\\G_{\\mathbf{y}}$ for $\\mathbf{x} \\in \\mathbb{C}^{\\ell}$ and $\\mathbf{y} \\in \\mathbb{C}^{n}$ are mutually absolutely continuous if and only if $\\ell = n$; they are singular each other if and only if $\\ell \\not= n$. Furthermore, we give an explicit expression of the Radon-Nikodym density\n  $d\\G_{\\mathbf{x}}/d \\G_{\\mathbf{y}}$ ","authors_text":"Hirofumi Osada, Tomoyuki Shirai","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-06-16T06:09:53Z","title":"Absolute continuity and singularity of Palm measures of the Ginibre point process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3913","kind":"arxiv","version":2},"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:c0b613d1c5d30a4811bca1fabf62b5fb81c6a5127b7664b38b1ad310778d8c53","target":"record","created_at":"2026-05-18T02:19:36Z","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":"e3680a5393c17d80969d83a5595d10bf9a0e67694463796da075e3656fc2c216","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-06-16T06:09:53Z","title_canon_sha256":"59712066e2ebfb7bd1d663c43a6c6b2166a090370f74883f7068f8f7c9b7484b"},"schema_version":"1.0","source":{"id":"1406.3913","kind":"arxiv","version":2}},"canonical_sha256":"719739f78a982a295b0a951c0c1346258f0d51182bdab72bf4a8fec8be73c51c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"719739f78a982a295b0a951c0c1346258f0d51182bdab72bf4a8fec8be73c51c","first_computed_at":"2026-05-18T02:19:36.161219Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:36.161219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"313TJq9+2Aro+LSv3pjtAAtGAeW0saEKCtzqxO6C3HZxhr0fzOd6wTC9wccuxxwoa+pkUHMDi3HoDolhadMoCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:36.161672Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.3913","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0b613d1c5d30a4811bca1fabf62b5fb81c6a5127b7664b38b1ad310778d8c53","sha256:be2d307cade62d0014946dfff5425fb25c174500fac350be89ff91404aa33b03"],"state_sha256":"cb18ba297cf5b65582bbc9c08e34a2d7abbcea1bb4d6aafbdef1c02454288791"}