{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VAGJSF7XKKUXQMPAGSFKERBMHK","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":"abfee2f6162c4c88fcd7480abeedf5876606d5af40b03580104fb319058d7eab","cross_cats_sorted":["math.CV","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-12-23T13:56:05Z","title_canon_sha256":"c0e3f4d6da9dbf5eaa0d51cadc4280f652b5b9edb885f0edff2d127fe5b319d9"},"schema_version":"1.0","source":{"id":"1612.07974","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07974","created_at":"2026-05-18T00:54:05Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07974v1","created_at":"2026-05-18T00:54:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07974","created_at":"2026-05-18T00:54:05Z"},{"alias_kind":"pith_short_12","alias_value":"VAGJSF7XKKUX","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VAGJSF7XKKUXQMPA","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VAGJSF7X","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:62ebbea95992705b935c3915b02c93d4c5b7a5145a4aef90d86cdba7c0a8cccc","target":"graph","created_at":"2026-05-18T00:54:05Z","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 fluctuations of linear statistics in Polyanalytic Ginibre ensembles, a family of point processes describing planar free fermions in a uniform magnetic field at higher Landau levels. Our main result is asymptotic normality of fluctuations, extending a result of Rider and Vir\\'ag. As in the analytic case, the variance is composed of independent terms from the bulk and the boundary. Our methods rely on a structural formula for polyanalytic polynomial Bergman kernels which separates out the different pure $q$-analytic kernels corresponding to different Landau levels. The fluctuations with","authors_text":"Antti Haimi, Aron Wennman","cross_cats":["math.CV","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-12-23T13:56:05Z","title":"A Central Limit Theorem for Fluctuations in Polyanalytic Ginibre Ensembles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07974","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:b8b27e9c7cbcd6ee1097a5231c6f8be07c2d395c4bf759c5e632fc1c036ceafc","target":"record","created_at":"2026-05-18T00:54:05Z","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":"abfee2f6162c4c88fcd7480abeedf5876606d5af40b03580104fb319058d7eab","cross_cats_sorted":["math.CV","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-12-23T13:56:05Z","title_canon_sha256":"c0e3f4d6da9dbf5eaa0d51cadc4280f652b5b9edb885f0edff2d127fe5b319d9"},"schema_version":"1.0","source":{"id":"1612.07974","kind":"arxiv","version":1}},"canonical_sha256":"a80c9917f752a97831e0348aa2442c3aa7f18babaa4b674faac90fd16379ff2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a80c9917f752a97831e0348aa2442c3aa7f18babaa4b674faac90fd16379ff2e","first_computed_at":"2026-05-18T00:54:05.183514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:05.183514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xYbXAwYam47fJtGs01AWoDxf1XJ2qbmUu8/BwU23f+n8GgHm6zMPZGZvl7z7shONci0MWrvdGQsNgJgG5/7CAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:05.183966Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.07974","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8b27e9c7cbcd6ee1097a5231c6f8be07c2d395c4bf759c5e632fc1c036ceafc","sha256:62ebbea95992705b935c3915b02c93d4c5b7a5145a4aef90d86cdba7c0a8cccc"],"state_sha256":"2b6945d0d4ef621ca6c182c8aaad1ec46944efe66661d106d1dc4e31c91cf399"}