{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AKZ33DOG5GE5O5USZ3UT32XUP7","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":"beb8efb7dc74286018fe186a5d65adbfb54cbd470cdd5474bf6f8d1af7fb15c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-06-20T11:49:51Z","title_canon_sha256":"a3d8d4098a2c237f71eb81e3a5452d6ff6333ac839c2dcb23c55e092fdcad521"},"schema_version":"1.0","source":{"id":"1306.4832","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4832","created_at":"2026-05-18T01:23:45Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4832v1","created_at":"2026-05-18T01:23:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4832","created_at":"2026-05-18T01:23:45Z"},{"alias_kind":"pith_short_12","alias_value":"AKZ33DOG5GE5","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AKZ33DOG5GE5O5US","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AKZ33DOG","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:9429aa3218977c9c4692e32c03c0db3f16e93cfc5a298d044085270c38d698c9","target":"graph","created_at":"2026-05-18T01:23:45Z","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 introduce a new method for studying universality of random matrices. Let T_n be the Jacobi matrix associated to the Dyson beta ensemble with uniformly convex polynomial potential. We show that after scaling, T_n converges to the Stochastic Airy operator. In particular, the top edge of the Dyson beta ensemble and the corresponding eigenvectors are universal. As a byproduct, our work leads to conjectured operator limits for the entire family of soft edge distributions.","authors_text":"Balint Virag, Brian Rider, Manjunath Krishnapur","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-06-20T11:49:51Z","title":"Universality of the Stochastic Airy Operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4832","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":"sha256:3bdd783a8b4524c917b5275241bbc43e3998691546c75d44438cff742b87ee53","target":"record","created_at":"2026-05-18T01:23:45Z","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":"beb8efb7dc74286018fe186a5d65adbfb54cbd470cdd5474bf6f8d1af7fb15c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-06-20T11:49:51Z","title_canon_sha256":"a3d8d4098a2c237f71eb81e3a5452d6ff6333ac839c2dcb23c55e092fdcad521"},"schema_version":"1.0","source":{"id":"1306.4832","kind":"arxiv","version":1}},"canonical_sha256":"02b3bd8dc6e989d77692cee93deaf47fea84cfe31f4299d647b869a80c05e2ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02b3bd8dc6e989d77692cee93deaf47fea84cfe31f4299d647b869a80c05e2ab","first_computed_at":"2026-05-18T01:23:45.589183Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:45.589183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZO2GLwzept2KBNZCNEKr7ndmqsz1ZNxJIHgHE6YhYSobKVZockI5Rd5oK9SLzpW5A0XZyhtrBLT85dFvSrunBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:45.589764Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.4832","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bdd783a8b4524c917b5275241bbc43e3998691546c75d44438cff742b87ee53","sha256:9429aa3218977c9c4692e32c03c0db3f16e93cfc5a298d044085270c38d698c9"],"state_sha256":"7f42d3cfba345e1674e257bb01e8243ddb67d6405274ac89cdf340aeac637648"}