{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JNXPTOMRMA4KE43PXK4DZ2CUL7","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":"7dbc812c3765676a48054a543141beb0da5f26836e8c4d249a97327250c99646","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-02-07T07:46:06Z","title_canon_sha256":"e856723d94edbfd87e1ff8187f6a9987ff2de0d1193e7941b327488575c46062"},"schema_version":"1.0","source":{"id":"1402.1566","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1566","created_at":"2026-05-18T02:59:46Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1566v1","created_at":"2026-05-18T02:59:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1566","created_at":"2026-05-18T02:59:46Z"},{"alias_kind":"pith_short_12","alias_value":"JNXPTOMRMA4K","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JNXPTOMRMA4KE43P","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JNXPTOMR","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:8fb166171281e8b3ab9a644f2f15ede0edd9bc0109cbbbc88cb69f0eaa07a4ba","target":"graph","created_at":"2026-05-18T02:59:46Z","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 study some properties of hyperbolic Gaussian analytic functions of intensity $L$ in the unit ball of $\\mathbb C^n$. First we deal with the asymptotics of fluctuations of linear statistics as $L\\to\\infty$. Then we estimate the probability of large deviations (with respect to the expected value) of such linear statistics and use this estimate to prove a hole theorem.","authors_text":"Bharti Pridhnani, Jeremiah Buckley, Xavier Massaneda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-02-07T07:46:06Z","title":"Gaussian Analytic functions in the unit ball"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1566","kind":"arxiv","version":1},"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:fc4469beaff3aa739be7f811f81f1358ec5222f6c4d7016c05f2a6bb9e27eeac","target":"record","created_at":"2026-05-18T02:59:46Z","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":"7dbc812c3765676a48054a543141beb0da5f26836e8c4d249a97327250c99646","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-02-07T07:46:06Z","title_canon_sha256":"e856723d94edbfd87e1ff8187f6a9987ff2de0d1193e7941b327488575c46062"},"schema_version":"1.0","source":{"id":"1402.1566","kind":"arxiv","version":1}},"canonical_sha256":"4b6ef9b9916038a2736fbab83ce8545ffcbe754637962900fd82b7baa79afc38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b6ef9b9916038a2736fbab83ce8545ffcbe754637962900fd82b7baa79afc38","first_computed_at":"2026-05-18T02:59:46.848454Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:46.848454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DRoDZ6GrmJjpfv86zTobSeX7Xpr7X1zwgzsUInoPCkab9sU1+j5qQ0tG/LKbOWq0c3iBcrz8iLcEpYdeM1teAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:46.849430Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.1566","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc4469beaff3aa739be7f811f81f1358ec5222f6c4d7016c05f2a6bb9e27eeac","sha256:8fb166171281e8b3ab9a644f2f15ede0edd9bc0109cbbbc88cb69f0eaa07a4ba"],"state_sha256":"e056a79b4b38e15277fed32accc5aa2f7808ac34129bae964827a8d6f514fe8b"}