{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GCX5LHPJVTI6VMQKDL26X7J6IS","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":"7cc035ae07a5b52f007882553d3a59566c6a8e50c6a5497faf2ddbe4e03be52a","cross_cats_sorted":["math-ph","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-03-15T22:33:36Z","title_canon_sha256":"6e7a2b865eab25c93a351973779e22e8c987c8b6310b6cc8922a8dda5a1beffd"},"schema_version":"1.0","source":{"id":"1903.06826","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.06826","created_at":"2026-05-17T23:51:08Z"},{"alias_kind":"arxiv_version","alias_value":"1903.06826v1","created_at":"2026-05-17T23:51:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.06826","created_at":"2026-05-17T23:51:08Z"},{"alias_kind":"pith_short_12","alias_value":"GCX5LHPJVTI6","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"GCX5LHPJVTI6VMQK","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"GCX5LHPJ","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:d2d0d0f788ec180856a383314ffb5e46fcd86547b49b7bbd75b630aaa4c0d8bc","target":"graph","created_at":"2026-05-17T23:51:08Z","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 establish a universality law for sequences of functions $\\{w_n\\}_{n \\in \\mathbb{N}}$ satisfying a form of WKB approximation on compact intervals. This includes eigenfunctions of generic Schr\\\"odinger operators, as well as Laguerre and Chebyshev polynomials. Given two distinct points $x, y \\in \\mathbb{R}$, we ask how often do $w_n(x)$ and $w_n(y)$ have the same sign. Asymptotically, one would expect this to be true half the time, but this turns out to not always be the case. Under certain natural assumptions, we prove that, for all $x \\neq y$, $$ \\frac{1}{3} \\leq \\lim_{N \\to \\infty} \\frac{1}","authors_text":"Diogo Oliveira e Silva, Felipe Gon\\c{c}alves, Stefan Steinerberger","cross_cats":["math-ph","math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-03-15T22:33:36Z","title":"A Universality Law For Sign Correlations of Eigenfunctions of Differential Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.06826","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":"sha256:88a8b60e45844ebd36c4982fb2a091688d8d75b63e541d7537f8a3f152f5c9b7","target":"record","created_at":"2026-05-17T23:51:08Z","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":"7cc035ae07a5b52f007882553d3a59566c6a8e50c6a5497faf2ddbe4e03be52a","cross_cats_sorted":["math-ph","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-03-15T22:33:36Z","title_canon_sha256":"6e7a2b865eab25c93a351973779e22e8c987c8b6310b6cc8922a8dda5a1beffd"},"schema_version":"1.0","source":{"id":"1903.06826","kind":"arxiv","version":1}},"canonical_sha256":"30afd59de9acd1eab20a1af5ebfd3e44a909ddd5b4d4f8f7c8c96951d2382ba7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30afd59de9acd1eab20a1af5ebfd3e44a909ddd5b4d4f8f7c8c96951d2382ba7","first_computed_at":"2026-05-17T23:51:08.911337Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:08.911337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0W5z03pr5bTID4rvmxlvOnrsyxtR9BkM5oKnvJvpdBPz8v6LD3nIaoux13b1v2EQYQVG27frzxwNQz/ZDqUqAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:08.911939Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.06826","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88a8b60e45844ebd36c4982fb2a091688d8d75b63e541d7537f8a3f152f5c9b7","sha256:d2d0d0f788ec180856a383314ffb5e46fcd86547b49b7bbd75b630aaa4c0d8bc"],"state_sha256":"431844696a24d99f3290e5397e3aeff6584995238f57a799675e532967f26f0d"}