{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LFCT22CB6S3QU3QBU6JB7JD7KC","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":"96dca6b1b7d1fbc88d658e785a41a5ee66b87a62125d34c1e15bfadc303c627e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-01-24T05:24:53Z","title_canon_sha256":"e22a708325eb343f72626c713c22bd1a482b7526f01542106e4ff5b947cd93a8"},"schema_version":"1.0","source":{"id":"1301.5702","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5702","created_at":"2026-05-18T02:54:56Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5702v2","created_at":"2026-05-18T02:54:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5702","created_at":"2026-05-18T02:54:56Z"},{"alias_kind":"pith_short_12","alias_value":"LFCT22CB6S3Q","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LFCT22CB6S3QU3QB","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LFCT22CB","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:24cabc058fc89c6c288cb687ca8e6bbd9ce5c06a441f1d2406dfb9ae230a4e34","target":"graph","created_at":"2026-05-18T02:54:56Z","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":"The Katz-Sarnak density conjecture states that the scaling limits of the distributions of zeros of families of automorphic $L$-functions agree with the scaling limits of eigenvalue distributions of classical subgroups of the unitary groups $U(N)$. This conjecture is often tested by way of computing particular statistics, such as the one-level density, which evaluates a test function with compactly supported Fourier transform at normalized zeros near the central point. Iwaniec, Luo, and Sarnak studied the one-level densities of cuspidal newforms of weight $k$ and level $N$. They showed in the l","authors_text":"Levent Alpoge, Steven J. Miller","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-01-24T05:24:53Z","title":"Low-lying zeroes of Maass form $L$-functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5702","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":"sha256:901f420abdef755c1a6185a91260da49c298574829fc8edd8ce43a53c6eb3827","target":"record","created_at":"2026-05-18T02:54:56Z","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":"96dca6b1b7d1fbc88d658e785a41a5ee66b87a62125d34c1e15bfadc303c627e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-01-24T05:24:53Z","title_canon_sha256":"e22a708325eb343f72626c713c22bd1a482b7526f01542106e4ff5b947cd93a8"},"schema_version":"1.0","source":{"id":"1301.5702","kind":"arxiv","version":2}},"canonical_sha256":"59453d6841f4b70a6e01a7921fa47f50813e36c30aedabd09d1bef567a1d7561","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59453d6841f4b70a6e01a7921fa47f50813e36c30aedabd09d1bef567a1d7561","first_computed_at":"2026-05-18T02:54:56.382387Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:56.382387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yMAKRKqXM7ImTLun0D13Zgw1gzPvDHBFM64WN9pYFYIEWeKAswPEak1QEAVKcp2fHo4TV9uFxBYCCC6QgHaDBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:56.382866Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.5702","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:901f420abdef755c1a6185a91260da49c298574829fc8edd8ce43a53c6eb3827","sha256:24cabc058fc89c6c288cb687ca8e6bbd9ce5c06a441f1d2406dfb9ae230a4e34"],"state_sha256":"09f322c25bcb647a4e1b14f8a484af674c04411e428fca725719babf48864166"}