{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VZ4EU3DYMRLKWXNVG6N5VFZLMQ","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":"4def8ea9409caf36fa119e1346596d1053c41b931cfe73b1d853ef67eb2baf2e","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-28T17:45:15Z","title_canon_sha256":"eea7da8c031a883982e00aa1f8d3dba33ce25213832ed76eec1166e5673c647d"},"schema_version":"1.0","source":{"id":"1407.7481","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7481","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7481v2","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7481","created_at":"2026-05-17T23:47:44Z"},{"alias_kind":"pith_short_12","alias_value":"VZ4EU3DYMRLK","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VZ4EU3DYMRLKWXNV","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VZ4EU3DY","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:d4213fdda5c73ab869040f726cc163145252886761df9421259e8e375763bea3","target":"graph","created_at":"2026-05-17T23:47:44Z","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 derive a general large deviation principle for a canonical sequence of probability measures, having its origins in random matrix theory, on unbounded sets $K$ of ${\\bf C}$ with weakly admissible external fields $Q$ and very general measures $\\nu$ on $K$. For this we use logarithmic potential theory in ${\\bf R}^{n}$, $n\\geq 2$, and a standard contraction principle in large deviation theory which we apply from the two-dimensional sphere in ${\\bf R}^{3}$ to the complex plane ${\\bf C}$.","authors_text":"F. Wielonsky, N. Levenberg, T. Bloom","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-28T17:45:15Z","title":"Logarithmic potential theory and large deviation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7481","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":"sha256:137b8267ff411714c2fb060b448f5dbf536fd12ab6f2a74064dd4afd5f870010","target":"record","created_at":"2026-05-17T23:47:44Z","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":"4def8ea9409caf36fa119e1346596d1053c41b931cfe73b1d853ef67eb2baf2e","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-28T17:45:15Z","title_canon_sha256":"eea7da8c031a883982e00aa1f8d3dba33ce25213832ed76eec1166e5673c647d"},"schema_version":"1.0","source":{"id":"1407.7481","kind":"arxiv","version":2}},"canonical_sha256":"ae784a6c786456ab5db5379bda972b641622eaeb59861d5264aafc92952ba060","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae784a6c786456ab5db5379bda972b641622eaeb59861d5264aafc92952ba060","first_computed_at":"2026-05-17T23:47:44.678481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:44.678481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3UP1kziljCFBskaX3Su0fYQHHiNyOmlFvPZbgVU+p8NJq5B6bWLHHUKMHRCyNH2ZIV+lt5lLE4aDLmTycp5jCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:44.678947Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7481","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:137b8267ff411714c2fb060b448f5dbf536fd12ab6f2a74064dd4afd5f870010","sha256:d4213fdda5c73ab869040f726cc163145252886761df9421259e8e375763bea3"],"state_sha256":"699af7f8e1cc1312afa5103e7f108c9c8192155629ea173d31e53b47d30ba4da"}