{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:S2B6TL65AVFKHS73GAZ6KBCIW5","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":"11d8da915c99aed3b6d865a03db83f1420f123a1782d55b1110adfa2ac4d8a2b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-10-20T16:15:51Z","title_canon_sha256":"09393408537799e12af7ff653395118ecc50404586b87d696750cdbadaa76bf2"},"schema_version":"1.0","source":{"id":"1110.4567","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4567","created_at":"2026-05-18T02:00:07Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4567v1","created_at":"2026-05-18T02:00:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4567","created_at":"2026-05-18T02:00:07Z"},{"alias_kind":"pith_short_12","alias_value":"S2B6TL65AVFK","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"S2B6TL65AVFKHS73","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"S2B6TL65","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:6899431638b8ba9f824e19d68ba7308bdfcc6999ea741739b4d1dfeaafe1c89d","target":"graph","created_at":"2026-05-18T02:00:07Z","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 two-point correlation function of chaotic systems with spin 1/2 is evaluated using periodic orbits. The spectral form factor for all times thus becomes accessible. Equivalence with the predictions of random matrix theory for the Gaussian symplectic ensemble is demonstrated. A duality between the underlying generating functions of the orthogonal and symplectic symmetry classes is semiclassically established.","authors_text":"Petr Braun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-10-20T16:15:51Z","title":"Beyond the Heisenberg time: Semiclassical treatment of spectral correlations in chaotic systems with spin 1/2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4567","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":"sha256:494867bf301c89fbe496c421eaec669aaa05af549f303ff26430696aefcb4cc6","target":"record","created_at":"2026-05-18T02:00:07Z","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":"11d8da915c99aed3b6d865a03db83f1420f123a1782d55b1110adfa2ac4d8a2b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-10-20T16:15:51Z","title_canon_sha256":"09393408537799e12af7ff653395118ecc50404586b87d696750cdbadaa76bf2"},"schema_version":"1.0","source":{"id":"1110.4567","kind":"arxiv","version":1}},"canonical_sha256":"9683e9afdd054aa3cbfb3033e50448b7789e02ffba22004d05a24113e537bcf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9683e9afdd054aa3cbfb3033e50448b7789e02ffba22004d05a24113e537bcf3","first_computed_at":"2026-05-18T02:00:07.804257Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:07.804257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZfDTq6Z8Y1RVYEM1pvKPYMMNOtVkfFuR+Wu8k7Akir2eaRg6eeUcbY2BLJPkN15hKpiEcjnzqWKzEavOEZwZBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:07.804869Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.4567","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:494867bf301c89fbe496c421eaec669aaa05af549f303ff26430696aefcb4cc6","sha256:6899431638b8ba9f824e19d68ba7308bdfcc6999ea741739b4d1dfeaafe1c89d"],"state_sha256":"bf14d8bfe49b08141f2781a54911e64fdc39b95eacaa00a5380e08ce11605f9d"}