{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VZ4EU3DYMRLKWXNVG6N5VFZLMQ","short_pith_number":"pith:VZ4EU3DY","canonical_record":{"source":{"id":"1407.7481","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-28T17:45:15Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"eea7da8c031a883982e00aa1f8d3dba33ce25213832ed76eec1166e5673c647d","abstract_canon_sha256":"4def8ea9409caf36fa119e1346596d1053c41b931cfe73b1d853ef67eb2baf2e"},"schema_version":"1.0"},"canonical_sha256":"ae784a6c786456ab5db5379bda972b641622eaeb59861d5264aafc92952ba060","source":{"kind":"arxiv","id":"1407.7481","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VZ4EU3DYMRLKWXNVG6N5VFZLMQ","target":"record","payload":{"canonical_record":{"source":{"id":"1407.7481","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-28T17:45:15Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"eea7da8c031a883982e00aa1f8d3dba33ce25213832ed76eec1166e5673c647d","abstract_canon_sha256":"4def8ea9409caf36fa119e1346596d1053c41b931cfe73b1d853ef67eb2baf2e"},"schema_version":"1.0"},"canonical_sha256":"ae784a6c786456ab5db5379bda972b641622eaeb59861d5264aafc92952ba060","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:44.678947Z","signature_b64":"3UP1kziljCFBskaX3Su0fYQHHiNyOmlFvPZbgVU+p8NJq5B6bWLHHUKMHRCyNH2ZIV+lt5lLE4aDLmTycp5jCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae784a6c786456ab5db5379bda972b641622eaeb59861d5264aafc92952ba060","last_reissued_at":"2026-05-17T23:47:44.678481Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:44.678481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.7481","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:47:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RPvHBQpiT78tZsJpcKxTAwyGTe0pKBt3V4PXF6LGcaFbW70Zv7hMCi6DR2Exw2KEyiyFnZthXtEwU7lcKxLkCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:50:00.161194Z"},"content_sha256":"137b8267ff411714c2fb060b448f5dbf536fd12ab6f2a74064dd4afd5f870010","schema_version":"1.0","event_id":"sha256:137b8267ff411714c2fb060b448f5dbf536fd12ab6f2a74064dd4afd5f870010"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VZ4EU3DYMRLKWXNVG6N5VFZLMQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Logarithmic potential theory and large deviation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.PR","authors_text":"F. Wielonsky, N. Levenberg, T. Bloom","submitted_at":"2014-07-28T17:45:15Z","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 ${\\bf C}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7481","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:47:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7a8nsMPehNx7BLkre4Zlekt7se9ETL9wN/2Uqj9g5NBKqmHkc78OHI9ifARmZ35UNSVAHXngdq95oRQagHMBAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:50:00.161552Z"},"content_sha256":"d4213fdda5c73ab869040f726cc163145252886761df9421259e8e375763bea3","schema_version":"1.0","event_id":"sha256:d4213fdda5c73ab869040f726cc163145252886761df9421259e8e375763bea3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VZ4EU3DYMRLKWXNVG6N5VFZLMQ/bundle.json","state_url":"https://pith.science/pith/VZ4EU3DYMRLKWXNVG6N5VFZLMQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VZ4EU3DYMRLKWXNVG6N5VFZLMQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T12:50:00Z","links":{"resolver":"https://pith.science/pith/VZ4EU3DYMRLKWXNVG6N5VFZLMQ","bundle":"https://pith.science/pith/VZ4EU3DYMRLKWXNVG6N5VFZLMQ/bundle.json","state":"https://pith.science/pith/VZ4EU3DYMRLKWXNVG6N5VFZLMQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VZ4EU3DYMRLKWXNVG6N5VFZLMQ/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1hC7mAa8wyUG2g3XhscfGddrOnmz200chQHJWoENIGkdEdjjKkJWDkb86/x8q4M1LRVOanyYkS3OtOLWED50AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:50:00.163479Z","bundle_sha256":"b022de690918f03a8044b2b25e83a42e0d46ccd17d6664ee6e5dd786feb41e66"}}