{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BBWWRLGZLNJZ7IZ3KVXH5ZZJO2","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":"f09f771dddcbd6cf9a14fa4b05ecc70f1a0e2ae5fa99ecdff3213b4b0424497c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-03T21:36:57Z","title_canon_sha256":"b564f44d2cece65920d23f995835372aba137abf2cb641435db11191ebfb526a"},"schema_version":"1.0","source":{"id":"1102.0792","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0792","created_at":"2026-05-18T02:03:16Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0792v1","created_at":"2026-05-18T02:03:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0792","created_at":"2026-05-18T02:03:16Z"},{"alias_kind":"pith_short_12","alias_value":"BBWWRLGZLNJZ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BBWWRLGZLNJZ7IZ3","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BBWWRLGZ","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:e20222022a7604503b983d2a1073f2f8958bdab2174f3209bc344765118123a7","target":"graph","created_at":"2026-05-18T02:03:16Z","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 large deviations principle for the empirical measures of a class of biorthogonal and multiple orthogonal polynomial ensembles that includes biorthogonal Laguerre, Jacobi and Hermite ensembles, the matrix model of Lueck, Sommers and Zirnbauer for disordered bosons, the Stieltjes-Wigert matrix model of Chern-Simons theory, and Angelesco ensembles.","authors_text":"Jens Sommerauer, Michael Stolz, Peter Eichelsbacher","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-03T21:36:57Z","title":"Large deviations for disordered bosons and multiple orthogonal polynomial ensembles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0792","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":"sha256:6d3993756147a6fce314559424dd6be784e61faad6aa6fed3a53068892fa629a","target":"record","created_at":"2026-05-18T02:03:16Z","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":"f09f771dddcbd6cf9a14fa4b05ecc70f1a0e2ae5fa99ecdff3213b4b0424497c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-03T21:36:57Z","title_canon_sha256":"b564f44d2cece65920d23f995835372aba137abf2cb641435db11191ebfb526a"},"schema_version":"1.0","source":{"id":"1102.0792","kind":"arxiv","version":1}},"canonical_sha256":"086d68acd95b539fa33b556e7ee72976a8b7d2cc2aca34f0e4dfd6ce1cc538e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"086d68acd95b539fa33b556e7ee72976a8b7d2cc2aca34f0e4dfd6ce1cc538e3","first_computed_at":"2026-05-18T02:03:16.953775Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:16.953775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lsdsuWQ43JOHelDbvFUeM4x1+oi1UstGE5eh9jAybFvA1KguQhpv6RmBwGTzai9rKGWmVI74Sr1XYTwbWphqCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:16.954552Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.0792","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d3993756147a6fce314559424dd6be784e61faad6aa6fed3a53068892fa629a","sha256:e20222022a7604503b983d2a1073f2f8958bdab2174f3209bc344765118123a7"],"state_sha256":"3394208ee2b01575a7d5c84c57bc91bd008abcd8c3cc4d318e50ed50aa27ee33"}